Answer:
0.5616 = 56.16% probability that at least 91 out of 155 students will pass their college placement exams.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
[tex]n = 155, p = 0.59[/tex]
So
[tex]\mu = E(X) = np = 155*0.59 = 91.45[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{155*0.59*0.41} = 6.12[/tex]
Probability that at least 91 out of 155 students will pass their college placement exams.
Using continuity correction, this is [tex]P(X \geq 91 - 0.5) = P(X \geq 90.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 90.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90.5 - 91.45}{6.12}[/tex]
[tex]Z = -0.155[/tex]
[tex]Z = -0.155[/tex] has a pvalue of 0.4384
1 - 0.4384 = 0.5616
0.5616 = 56.16% probability that at least 91 out of 155 students will pass their college placement exams.
Graph: y +2=
(x + 4)
ty
Y
4
2
8
-6
-4
-2
2
4
-2
-4
-6
Answer:
see below
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
__
You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
Table of grams and ounces
A 2-column table with 5 rows. Column 1 is labeled Grams, x with entries 1, 2, 3, 4, 5. Column 2 is labeled Ounces, y with entries 0.035, 0.07, 0.105, 0.14, 0.175.
Choose the equation and description for the relationship given in the table.
Answer:
B) y = 0.035x. There are 0.035 ounces in every gram.Please answer this correctly
Answer:
19.4ft
Step-by-step explanation:
A parallelogram has two sides parallel and equal meaning the top and bottom length are the same;
Meaning if the top is C, the bottom is C.
Similarly the length at the right side equals that on the left;
That means the the left = 60.4ft
Perimeter means distance round
And perimeter =157.6ft
Meaning if we start from the Top, it means:
C+ 60.4ft + C + 60.4ft= 157.6ft
C + C + 60.4ft+ 60.4ft = 157.6ft
2C + 120.8 = 157.6
2C = 157.6 - 120.8
2C= 36.8
C = 36.8/2
C= 19.4ft
You can calculate C from here
The cone pictured has a surface area of____a0 square meters. (Use 3.14 for π .)
Answer: A=286.2 m²
Step-by-step explanation:
The surface area of a cone is [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex].
We are given h=11 m and r=5 m. With these values, we can plug them into the equation to find the surface area.
[tex]A=\pi (5)(5+\sqrt{11^2+5^2} )[/tex]
[tex]A=5\pi (5+\sqrt{146} )\\[/tex]
[tex]A= 268.2 m^2[/tex]
Answer:
The cone pictured has a surface area of_268.2___a0 square meters
Step-by-step explanation:
SA of a cone = πr² + πrs
s = slant height
s = √h² +r²
so combined together
SA of a cone = πr² + πr(√h² + r²) = πr(r +√h² + r²)
SA of a cone = 3.14*5(5+[tex]\sqrt{11^{2}+ 5^{2} }[/tex] ) =268.2038
Question: A biotechnology firm is planning its investment strategy for future products and research labs. A poll found that 14% of a random sample of 1043 adults approved of attempts to clone a human. Use this information to complete arts a through e.
a) Find the margin of error for this poll if we want 95% confidence in our estimate of the percent of adults who approve of the cloning humans.
ME = ____ (Round to three decimal places as needed.)
b) Explain what that margin of error means. (Select One.)
i) The pollsters are 95% confident that the margin of error contains the true proportion of adults who approve of attempts to clone a human.
ii) The margin of error is the value that should be subtracted from the 95% confidence level to obtain the pollsters� true confidence level.
iii) The margin of error is width of the confidence interval that contains the true proportion of adults who approve of attempts to clone a human.
iv) The pollsters are 95% confident that the true proportion of adults who approve of attempts to clone a human is within the margin of error of the estimated 14%.
c) If we only need to be 99% confident, will the margin of error be larger or smaller?
i) A 99% confidence interval requires a smaller margin of error. A wider interval leads to decreased confidence.
ii) A 99% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be narrower.
iii) A 99% confidence interval requires a smaller margin of error. A narrower interval leads to decreased confidence.
iv) A 99% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be wider.
d) Find that margin of error.
ME = ___ (Round to three decimal places as needed.)
e) In general, if all other aspects of the situation remain the same, would smaller samples produce smaller or larger margins of error?
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
a) Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 1043
p = 14% = 14/100 = 0.14
q = 1 - 0.14 = 0.86
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Therefore, margin of error is 1.96√(0.14)(0.86)/1043
Margin of error = 0.021
b) i) The pollsters are 95% confident that the margin of error contains the true proportion of adults who approve of attempts to clone a human.
c) iv) A 99% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be wider.
d) The z score for 99% confidence interval is 2.58
margin of error is 2.58√(0.14)(0.86)/1043
Margin of error = 0.028
e) smaller samples would produce smaller margins of error.
For a certain instant lottery game comma the odds in favor of a win are given as 19 to 81. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is nothing.(Round to two decimal places as needed.)
Answer:
The probability is 0.19.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Odds in favor of a win are given as 19 to 81.
This means that for each 19 + 81 = 100 games played, there are expected to be 19 wins.
Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Desired outcomes:
19 wins, so D = 19.
Total outcomes:
100 games, so T = 100:
Probability:
[tex]p = \frac{D}{T} = \frac{19}{100} = 0.19[/tex]
The probability is 0.19.
What’s the correct answer for this?
Answer:
AP = 14
Step-by-step explanation:
According to secant-secant theorem
(CP)(PD)=(BP)(AP)
7×12=6×AP
AP = 84/6
AP = 14
What is the zero of the function below?
f(1) = 3v1 + 3 - 6
Answer:
v1 = 1
Step-by-step explanation:
Solve for v1:
3 v1 - 3 = 0
Add 3 to both sides:
3 v1 + (3 - 3) = 3
3 - 3 = 0:
3 v1 = 3
Divide both sides of 3 v1 = 3 by 3:
(3 v1)/3 = 3/3
3/3 = 1:
v1 = 3/3
3/3 = 1:
Answer: v1 = 1
Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of
all roots for this function?
Of(x) has two real roots and one imaginary root.
f(x) has three real roots.
f(x) has five real roots.
Of(x) has three real roots and two imaginary roots.
We know that imaginary roots always come in pairs, so we already know 4 solutions
-2, 2, 4 + i and a pair of 4 + i
Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots
So for sure, we will have 3 real roots and 2 imaginary roots
Last option, f(x) has three real roots and two imaginary roots
Answer: ITS D (f(x) has three real roots and two imaginary roots)
Read the problem and decide whether it has too much or too little
information,
Every day, Ellie the Elephant eats 150 pounds of hay, eats 200
pounds of fruit, and drinks 50 gallons of water. How many gallons
of water does she drink each week?
A. too much
B. too little
Answer:
A. too much
Step-by-step explanation:
If we are only looking for how much water she drinks, we do not need to know the amount of hay or the amount of fruit
Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.
Answer:
27 Marbles
Step-by-step explanation:
Alan first had 5 marbles, and then added 4 to the collection.
5 + 4 = 9
He went to the store and tripled the number of marbles he had.
9 x 3 = 27
Hence, he now has 27 marbles.
Answer: think for yourself
through (8.-8) and has a slope of 3/4
Step-by-step explanation:
work is shown and pictured
Question 4 of 10
2 Points
Match each type of consumer influence with an example of that influence in
action.
Choosing a red and black
sweater because those
are school colors
Price
Wearing a Santa Claus
sweater because
Christmas is approaching
Cultural
Buying a sweater after
winter is over because of a
clearance sale N
TL
TA
Peer pressure
HIRD
BEBE
L
EHELE
Answer:
1. Peer pressure: Choosing a red and black sweater because those are school colors.
2. Cultural: Wearing a Santa Claus
sweater because Christmas is approaching.
3. Price: Buying a sweater after winter is over because of a clearance sale.
Step-by-step explanation:
Peer pressure is a direct influence from groups or institutions an individual belong to.
Cultural elements relates to the customs, beliefs and behavior of a group of people in a society.
Price is the amount of money paid by an individual or organizations in acquiring goods and services.
Polluted water is passed through a series of filters. Each filter removes 90% of the remaining impurities from the water. If you have 10 million particles of pollutant per gallon originally, how many filters would the water need to be passed through to reduce the pollutant to below 500 particles per gallon? You can only use a whole number of filters.
Answer:
5 filters
Step-by-step explanation:
1 filter = 1 million remain
2 filter =100,000 remain
3 filter =10,000 remain
4 filter =1,000 remain
5 filter = 100 remain which is below to 500
To reduce the pollutant to below 500 particles per gallon, the water would need to be filtered through 13 filters.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Let's first define a variable, p, to represent the number of filters. We can then say that the number of particles remaining in the water after the first filter is applied is 0.9 x 10,000,000 = 9,000,000 particles per gallon.
After the second filter is applied, the number of particles remaining is 0.9 x 9,000,000 = 8,100,000 particles per gallon, and so on.
This equation would be [tex]0.9^p \times 10,000,000[/tex]. We want to find the smallest value of p that makes this expression less than 500.
We can solve this by setting the expression equal to 500 and solving for p. This gives us the equation [tex]0.9^p \times 10,000,000=500[/tex].
Solving for p, we get p = log(500/10,000,000) / log(0.9), which is approximately 12.39.
Since we can only use a whole number of filters,
Thus, we would need to use 13 filters to reduce the pollutant to below 500 particles per gallon.
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A frozen yogurt shop offers scoops in cake cone, waffle cones, or cups. You can get vanilla, chocolate, strawberry, pistachio, or coffee flavored frozen yogurt. If you order a single scoop, how many outcomes are in the sample space?
Answer:
15 possible outcomes
Step-by-step explanation:
Given;
A frozen yogurt shop offers scoops in cake cone, waffle cones, or cups.
N1 = 3 possible options
You can get vanilla, chocolate, strawberry, pistachio, or coffee flavored frozen yogurt.
N2 = 5 possible options
The total number of possible outcomes in the sample space when you order a scoop of yogurt is the product of the available options;
N = N1 × N2 = 3 × 5
N = 15 possible outcomes
A well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 38% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 40% at the 0.025 significance level. The null and alternative hypothesis would be: H 0 : μ ≤ 0.4 H 1 : μ > 0.4 H 0 : p ≤ 0.4 H 1 : p > 0.4 H 0 : p = 0.4 H 1 : p ≠ 0.4 H 0 : μ = 0.4 H 1 : μ ≠ 0.4 H 0 : μ ≥ 0.4 H 1 : μ < 0.4 H 0 : p ≥ 0.4 H 1 : p < 0.4 1. The test is:______ a. left-tailed b. two-tailed c. right-tailed 2. The test statistic is:______ (to 3 decimals) 3. The p-value is:______ (to 4 decimals) 4. Based on this we:_______ a. Fail to reject the null hypothesis b. Reject the null hypothesis
Answer:
1) Null hypothesis:[tex]p \geq 0.4[/tex]
Alternative hypothesis:[tex]p < 0.4[/tex]
2) [tex]z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913[/tex]
3) [tex]p_v =P(z<-0.913)=0.1806[/tex]
4) For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4
a. Fail to reject the null hypothesis
Step-by-step explanation:
Information given
n=500 represent the random sample taken
[tex]\hat p=0.38[/tex] estimated proportion of if the people they are confident of meeting their goals
[tex]p_o=0.4[/tex] is the value to test
represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Part 1
We want to test if the true proportion is less than 0.4, the system of hypothesis are.:
Null hypothesis:[tex]p \geq 0.4[/tex]
Alternative hypothesis:[tex]p < 0.4[/tex]
a. left-tailed
Part 2
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913[/tex]
Part 3
The p value for this case can be calculated like this:
[tex]p_v =P(z<-0.913)=0.1806[/tex]
Part 4
For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4
a. Fail to reject the null hypothesis
Solve for x. Show or explain your work.
Then, verify that your solution is correct.
-15 = 2x + 1
Answer:
-8 = x
Step-by-step explanation:
-15 = 2x + 1
-1 - 1 Subtract 1 from both sides
-16 = 2x Divide both sides by 2
-8 = x
To make sure this answer is correct, plug it into the equation to see if it works.
-15 = 2(-8) + 1 Multiply
-15 = -16 + 1 Add
-15 = -15
What’s the correct answer for this?
Answer:
36
Step-by-step explanation:
In circle with center O,
[tex] chord\overline {EF} \cong chord\overline {WV}... (Given) [/tex]
Since, congruent chords are equidistant from the center of the circle.
[tex] \therefore PG = GO\\
\therefore - x +10 = - 3(x+2)\\
\therefore - x + 10 = - 3x - 6\\
\therefore 3x - x = - 6-10\\
\therefore 2x = - 16\\\\
\therefore x = \frac{-16}{2} \\\\
\huge \red {\boxed {\therefore x = - 8}} \\\\
\because \overline {PO} = \overline {PG} + \overline {GO} \\
\therefore \overline {PO} = - x + 10 + \{-3(x + 2)\}\\
\therefore \overline {PO} = - x + 10 - 3x - 6\\
\therefore \overline {PO} = - 4x + 4 \\
\therefore \overline {PO} = - 4\times (-8)+ 4 \\
\therefore \overline {PO} =32+ 4 \\
\huge \orange {\boxed {\therefore \overline {PO} =36}} \\[/tex]
Un sfert din numărul porcinelor din fermă, fiind de rasă superioară, aduc la sfârşitul anului, in medie,
o productie de 9.6 kg de carne pe cap de animal. Productia astfel obținută reprezintă jumătate din
totalul productiei de carne,
5 Determinati productia de carne pe cap de animal obținută de la un porc ce nu este de rasă supe-
noara
Answer:
The meat production per animal obtained from a non-superior breed pig = 4.8 kg of meat per non superior breed of pig.
Producția de carne pe animal obținută de la un porc de rasă non-superioară = 4,8 kg de carne pe o rasă de porc non-superioară.
Step-by-step explanation:
English Translation
A quarter of the number of pigs on the farm, being of superior breed, bring at the end of the year, on average, a production of 9.6 kg of meat per animal. The production thus obtained represents half of total meat production, Determine the meat production per animal obtained from a non-superior breed pig.
Solution
Let the meat production per animal for the non superior breed of pig be y
Let the total number of pigs be x
A quarter of the pigs are superior breed, 0.25x, bring in 9.6 kg of meat per superior breed of pigs.
Total amount of meat produced by the superior breed of pigs = 0.25x × 9.6 = (3.6x) kg
This means that there are three quarter pigs from the less superior breed, 0.75x, making y kg of meat per animal.
Total amount of meat produced by the non superior breed of pigs = 0.75x × y = 0.75xy kg
Total meat production = (3.6x + 0.75xy) kg
It is then given that the total amount of meat from the superior breed is half of the total meat production.
That is,
3.6x = (3.6x + 0.75xy)/2
7.2x = 3.6x + 0.75xy
7.2x - 3.6x = 0.75xy
3.6x = 0.75xy
y = (3.6/0.75) = 4.8 kg
Hence, the meat production per animal obtained from a non-superior breed pig = 4.8 kg of meat per non superior breed of pig.
In Romanian/In limba romana
Permiteți producția de carne pe animal pentru rasa non superioară de porc
Fie numărul total de porci x
Un sfert din rasa superioară, 0,25x, aduce 9,6 kg de carne pentru fiecare rasă superioară de porci.
Un sfert din porci sunt de rasa superioară, 0,25x, aduc 9,6 kg de carne pe rasă superioară de porci.
Cantitatea totală de carne produsă de rasa superioară de porci = 0,25x × 9,6 = (3,6x) kg
Aceasta înseamnă că există trei sferturi de porci de la rasa mai puțin superioară, 0,75x, ceea ce face y kg de carne pe animal.
Cantitatea totală de carne produsă de rasa non superioară de porci = 0,75x × y = (0,75xy) kg
Producția totală de carne = (3,6x + 0,75xy) kg
Se consideră că cantitatea totală de carne de la rasa superioară este jumătate din producția totală de carne.
Acesta este,
3,6x = (3,6x + 0,75xy) / 2
7,2x = 3,6x + 0,75xy
7,2x - 3,6x = 0,75xy
3,6x = 0,75xy
y = (3,6 / 0,75) = 4,8 kg
Prin urmare, producția de carne pe animal obținută de la un porc de rasă non-superioară = 4,8 kg de carne la o rasă de porc ne superioară.
Hope this Helps!!!
Sper că acest lucru vă ajută!!!
in 2010 a tree was 8 feet tall 2011 it was 14 feet tall write the equation how many feet the tree grew
Answer:
14 ft - 8 ft = 6 ft
Step-by-step explanation:
You basically just need to subtract it! :)
Solve the following absolute value equation for the unknown. Show all of your work for full credit. |-3h – 6| ≤ 3
Answer:
[tex]-3 \le h \le 1[/tex].
Step-by-step explanation:
Apply the property of absolute values: if [tex]a \ge 0[/tex], then [tex]|x| \le a \iff -a \le x \le a[/tex]. By this property, [tex]|- 3\, h - 6 | \le 3[/tex] is equivalent to [tex]-3 \le -3\, h - 6\le 3[/tex]. That's the same as saying that [tex]-3\, h - 6 \ge -3[/tex] and [tex]-3\, h - 6 \le 3[/tex].
Add [tex]6[/tex] to both sides of both inequalities:
[tex]-3\, h \ge 3[/tex] and [tex]-3\, h \le 9[/tex].
Divide both sides of both inequalities by [tex](-3)[/tex]. Note that because [tex]-3 < 0[/tex], dividing both sides of an equality by this number will flip the direction of the inequality sign.
[tex]-3\, h \ge 3[/tex] would become [tex]h \le -1[/tex].[tex]-3\, h \le 9[/tex] would become [tex]h \ge -3[/tex].Both inequalities are supposed to be true. Combining the two inequalities to obtain:
[tex]-3 \le h \le 1[/tex].
What is the solution to the system of equations?
y=-3x + 6
y= 9
O (-21,9)
O (9,-21)
0 (-1,9)
O (9.-1)
Answer:
(-1,9)
Step-by-step explanation:
y=-3x + 6
y= 9
Set the two equations equal
-3x + 6 = 9
Subtract 6 from each side
-3x+6-6 = 9-6
-3x =3
Divide by -3
-3x/-3 = 3/-3
x =-1
y = 9
(-1,9)
The solution to the system of equations is (-1, 9). Therefore, option C is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=-3x+6 ----(i) and y=9 ----(ii).
From equation (i) and (ii), we get
9=-3x+6
-3x=3
x=-1
Substitute x=-1 in equation (i), we get
y=-3(-1)+6
y=3+6
y=9
So, the solution is (-1, 9)
Therefore, option C is the correct answer.
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These lines are parallel. Is this statement true or false? y = - 2 3 x + 8 y = 2 3 x − 5 A. true B. false
Answer:
This statement would be false.
Step-by-step explanation:
The given equations have slopes that are positive and negative. Therefore, we know that they will intersect at some point because the slopes are not the same. In fact, they intersect at the point (9 3/4, 1 1/2).
I have attached an image of the graph of these two equations for your reference.
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t years is given by B = 1000(1.02)t. Find the average rate of change in the balance over the interval t = 0 to t = 5. Give units and interpret your answer in terms of the balance in the account.
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval [tex](x_{s}, x_{f})[/tex] will be given by the following equation:
[tex]S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}[/tex]
In this problem, we have that:
[tex]B(t) = 1000(1.02)^{t}[/tex]
Find the average rate of change in the balance over the interval t = 0 to t = 5.
[tex]B(0) = 1000(1.02)^{0} = 1000[/tex]
[tex]B(5) = 1000(1.02)^{5} = 1104.08[/tex]
Then
[tex]S = \frac{1104.08 - 1000}{5-0} = 20.82[/tex]
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
What is the value of the expression below?
Answer:
(7÷2)-(4.5*3)+8
(3.5)-(13.5)+8
3.5-5.5=-2
Simplify the expression.
[tex]\frac{19}{3} +\frac{y}{2} + \frac{91}{13}[/tex]
Simplify the expression.
[tex]\frac{y}{2} +\frac{40}{3}[/tex]
Evaluate the expression y - x + z for x = 22, y = 4, and z = 0.15
y - X + z =
(Type an integer or a decimal.)
S
Answer:
-17.85
Step-by-step explanation:
=> y-x+z
Putting y = 4, x = 22 and z = 0.15
=> 4-22+0.15
=> -18+0.15
=> -17.85
Answer:
the answer is -17.85
Step-by-step explanation:
to find the answer first substitute x, y and z by the numbers 22, 4 and 0.15 respectively.
y-x+z
4-22+0.15
-18+0.15=-17.85
A pump discharges 278 gallons of water in 3.5 minutes. How long would it take to empty a container with 750 gallons? Round up to the nearest minute
The base of a solid right pyramid is a square with an edge
length of n units. The height of the pyramid is n - 1 units.
Which expression represents the volume of the pyramid?
on(n − 1) units
o zn(n − 1)2 units
o {n?(n − 1) units 3
on(n − 1) units
(n-1)
n
Answer:
These are all right answers, just pick the one that matches an answer choice
n^2 * (n-1)/3
(n^3-n^2)/3
((n-1)n^2)/3
Step-by-step explanation:
The general area for a square pyramid is base * height/3
Since we know the edge is n units, we can subsitute the base for:
n*n = n^2 = b
The height is n-1, so lets plug that into the formula too:
n^2 * (n-1)/3
Its a bit hard to tell what the answer choices are, since your formatting is a bit strange, So in the answer section, I will list a couple of different expressions that are all equal, so that I get the right answer choice included.
Find the gradient of the line segment between the points (8,6) and (10,14).
Answer:
4
Step-by-step explanation:
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Gradient of line segment
[tex] = \frac{14 - 6}{10 - 8} \\ = \frac{8}{2} \\ =4[/tex]
