Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.
The number of hours that a nine month old baby sleeps at night are normally distributed with a population standard deviation of 1.5 hours and an unknown population mean. A random sample of 22 nine month old babies is taken and results in a sample mean of 12 hours. Find the margin of error for a confidence interval for the population mean with a 90% confidence level. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Answer:
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this quesstion:
[tex]\sigma = 1.5, n = 22[/tex]
So
[tex]M = 1.645*\frac{1.5}{\sqrt{22}} = 0.53[/tex]
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
a bucket that holds 5 1/4 gallons of water is being used to fill a tub that can hold 34 1/8 gallons. How many buckets will be needed to fill the tub?
The answer is 6 1/2 buckets.
What is did was turn the fractions into decimals to make it easier.
So the ratio is 5.25 gallons per bucket. I divided 34 1/8 by 5 1/4 in decimal form (34.125/5.25) and got 6.5
So therefore, the answer is 6 1/2 buckets of water is needed ti fill up the tub.
Square A"B"C"D" is the final image after the rule
was applied to square ABCD.
On a coordinate plane, a square A double-prime B double-prime C double-prime D double-prime has points (negative 5, negative 3), (negative 3, negative 1), (negative 1, negative 3), (negative 3, negative 5).
What are the coordinates of vertex A of square ABCD?
(–1, –6)
(–1, –2)
(–1, 6)
(–2, 1)
Answer:
The Answer is D on Edge
Step-by-step explanation:
Answer:
D is the answer
Step-by-step explanation:
Find the slope of a line perpendicular to the line whose equation is 2y − 6x = 4.
Answer:
- 1/3
Step-by-step explanation:
2y - 6x = 4
y - 3x = 2
y = 3x + 2
Slope of the given line = 3.
Slope of the perpendicular line is negative reciprocal = - 1/3.
4x + 5y = 7 3x – 2y = –12 Multiply each equation by a number that produces opposite coefficents for x or y
Answer:
Step-by-step explanation:
DO YOU MEAN :
[tex]4x + 5y = 7\\ 3x - 2y = -12\\Multiply-equation 1 -by -the-coefficient-of-x-in-equation-2\\multiply-equation-2 -by-the-co-efficient -of x -in-equation- 1\\\\3(4x + 5y = 7)\\4( 3x - 2y = -12)\\\\12x +15y=21\\12x -8y=-48[/tex]
what divided by 2 equals 6.5
Answer:
hope this helps, take care and stay safe
Step-by-step explanation:
you can do this by timing 6.5 by 2 which = 13. if you get stuck on questions like this, do the rewind effect, that is when you do the opposite of the question, which is what i did above, you can check this in 2 ways, on a calculator (if of course you are allow) or do the question again by using what you have work out, so 13 divide by 2 = 6.5.
The number 13 is divided by 2 to give the number 6.5.
Used the concept of divide which states that,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
To find the number that is divided by 2 to give the number 6.5
Let us assume that the number = x
Hence, it can be written as,
x ÷ 2 = 6.5
x/2 = 6.5
Multiply both sides 2;
x = 2 × 6.5
x = 13
Therefore, the number of the given condition is 13.
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Find the mode of the following data set.
Stem Leaves
4
8
5 0,1,6
6
2,2,4
7 3,5
Answer:
2 or 6
Step-by-step explanation:
The mode is always the number that repeats or is shown more than once. But there is no number that repeats. So your answer is No mode.
Nathan spins 2 different spinners at the same time. There are a total of 10 possible
outcomes. Which pair of spinners did Nathan spin?
A
B
A
B
1
2
E
2
E
5
3
D
4
A
B
2
A
B
E
c
COM
3
D
с
Answer:
Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.
Hope that answers the question, have a great day!
Answer:
The spinners he spins are the ones that together add up to ten numbers.
Step-by-step explanation:
A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with the fencing depends on the width of the rectangle. Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet? ✔ A(w) = -w² + 100w The rancher decides to make the width of the rectangle 40 ft. What is the area of the rectangle? PLEASE HURRY
Answer:
A(w) = -w^2 + 100w
Step-by-step explanation:
just took the assignment
Finding the numeric value of the function, it is found that the area of the rectangle is of 2400 square feet.
---------------------------
The area of a rectangle of width w is given by:
[tex]A(w) = -w^2 + 100w[/tex]
In this question, we have a width of 40 ft, thus [tex]w = 40[/tex], and the area is of:
[tex]A(40) = -40^2 + 100(40) = -1600 + 4000 = 2400[/tex]
The area is of 2400 square feet.
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Bruce, a store owner, would like to determine if a new advertising initiative has increased his sales per day compared to last year. He gathers information on 14 random sales days and conducts a hypothesis test about the sales revenue during a day using a significance level of 0.5 %. The mean revenue per day prior to the initiative was 650 dollars. df t0.10 t0.05 t0.025 t0.01 t0.005 ... ... ... ... ... ...13 1.350 1.771 2.160 2.650 3.01214 1.345 1.761 2.145 2.624 2.99715 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 Determine the critical value(s) using the partial t-table above. If entering two critical values, use +-.
Answer:
The critical value of t =3.012
Step-by-step explanation:
Solution
Recall that:
Bruce a store owner put together information on random sales of = 14 days
A significant level of =0.5%
The mean revenue per day = 65 dollars
Now,
We find he critical values using the partial t-table stated above
Thus,
The degree of freedom is given below:
n -1 = 14
14-1 =13
For a 0.005 level and right tailed test and with a 13 degree of freedom, the critical value of t =3.012.
Eric’s average income for the first 4 months of the year is $1,450.25, what must be his
average income for the remaining 8 months so that his average income for the year is
$1,780.75?
Answer:
Average income of Eric for the remaining 8 months = [tex]\$1946[/tex]
Step-by-step explanation:
Given: Average income of Eric for the first 4 months of the year is equal to $1,450.25
To find: average income for the remaining 8 months so that his average income for the year is $1,780.75
Solution:
Average income = Total income for the year/Total number of months
Average income of Eric for the first 4 months = $1,450.25
So,
Total income of Eric for the first 4 months = 1,450.25 × 4 = 5801
Let x denotes total income of Eric for the remaining 8 months
Total income for the year = 5801 + x
Therefore,
Average income for the year = [tex]\frac{5801+x}{12}[/tex]
Also, average income for the year is $1,780.75
[tex]1780.75=\frac{5801+x}{12}\\1780.75\times 12=5801+x\\21369=5801+x\\21369-5801=x\\15568=x[/tex]
Total income of Eric for the remaining 8 months = $15568
Average income of Eric for the remaining 8 months = [tex]\frac{15568}{8}=\$1946[/tex]
A ball is thrown straight up from a cliff. The function f(x) = –4.9t2 + 17t + 19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is that height reached? Round your answers to 1 decimal place.
Maximum height:
__ meters
Time:
__ seconds
Answer:
Maximum height: 33.7 meters
Time: 1.7 seconds
Step-by-step explanation:
Suppose we have a quadratic equation in the following format:
[tex]f(t) = at^{2} + bt + c[/tex]
In a is negative, the maximum point of the function happens at the time of
[tex]t_{v} = -\frac{b}{2a}[/tex]
And it's value is: [tex]f(t_{v})[/tex]
In this question:
[tex]f(t) = -4.9t^{2} + 17t + 19[/tex]
So [tex]a = -4.9, b = 17, c = 19[/tex]
The time of the maximum height is:
[tex]t_{v} = -\frac{b}{2a} = -\frac{17}{2*(-4.9)} = 1.7[/tex]
The maximum height is:
[tex]f(1.7) = -4.9*(1.7)^{2} + 17*1.7 + 19 = 33.7[/tex]
An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have only one piece of checked luggage and 12% have two pieces. We suppose a negligible portion of people check more than two bags.a) The average baggage-related revenue per passenger is: $(please round to the nearest cent)b) The standard deviation of baggage-related revenue is: $(please round to the nearest cent)c) About how much revenue should the airline expect for a flight of 120 passengers?(please round to the nearest dollar)
Answer:
(a) The average baggage-related revenue per passenger is $15.70.
(b) The standard deviation of baggage-related revenue is $19.95.
(c) The expected revenue for 120 passengers is $1,884.
Step-by-step explanation:
Let the random variable X represent the baggage-related revenue per passenger.
It is provided that the baggage fees is $25 for the first bag and $35 for the second.
The probability model is:
X : 0 25 60
P (X) : 0.54 0.34 0.12
(a)
Compute the average baggage-related revenue per passenger as follows:
[tex]E(X)=\sum {X\times P (X)}[/tex]
[tex]=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70[/tex]
Thus, the average baggage-related revenue per passenger is $15.70.
(b)
Compute the standard deviation of baggage-related revenue as follows:
[tex]E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\[/tex]
[tex]SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}[/tex]
[tex]=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95[/tex]
Thus, the standard deviation of baggage-related revenue is $19.95.
(c)
Compute the expected revenue for 120 passengers as follows:
[tex]E(R)=n\times E(X)[/tex]
[tex]=120\times 15.7\\\\=1884[/tex]
Thus, the expected revenue for 120 passengers is $1,884.
2. The average score Josie had in 6 subjects is 72 and her average score after 2 additional
subjects were added is 74.25. If she scored 80 in the 7th subject, what was her score in the
8
th subject correct to the nearest whole number?
Answer:
6(72)= 432 & 8(74.25)=594
594-432=162==> 162-80=82
The publishers of a business magazine are running sales promotions for the weekly magazine. The number of prospective customers a sales representative sees per day varies 1 to 40. If the sales representative is able to her 20% of the prospective customers to subscribe, the maximum expected number of subscriptions per week is .if the sales representative earns $3 per subscription in addition to daily wages, the minimum expected value of the extra income per week is .
Answer:
the maximum expected number of subscriptions per week is
34 subscriptionsthe minimum expected value of the extra income per week is
$94.20Step-by-step explanation:
number of sales visits per day 1 - 40
success rate in closing sales 20%
total visits per week:
week 1 = 20 + 22 + 27 + 17 + 31 + 12 + 39 = 168week 2 = 26 + 13 + 30 + 18 + 24 + 14 + 32 = 157week 3 = 21 + 12 + 22 + 37 + 30 + 23 + 18 = 163week 4 = 15 + 33 + 10 + 28 + 34 + 24 + 22 = 166week 5 = 11 + 33 + 21 + 32 + 26 + 19 + 22 = 164week 6 = 19 + 27 + 20 + 18 + 31 + 14 + 37 = 166week 7 = 29 + 22 + 27 + 30 + 16 + 9 + 36 = 159week 8 = 8 + 28 + 19 + 28 + 25 + 36 + 26 = 170estimated sales per week:
week 1 = 168 x 20% = 33.6week 2 = 157 x 20% = 31.4week 3 = 163 x 20% = 32.6week 4 = 166 x 20% = 33.2week 5 = 164 x 20% = 32.8week 6 = 166 x 20% = 33..2week 7 = 159 x 20% = 31.8week 8 = 170 x 20% = 34extra income per week:
week 1 = 33.6 x $3 = $100.80week 2 = 31.4 x $3 = $94.20week 3 = 32.6 x $3 = $97.80week 4 = 33.2 x $3 = $99.60week 5 = 32.8 x $3 = $98.40week 6 = 33.2 x $3 = $99.60week 7 = 31.8 x $3 = $95.40week 8 = 34 x $3 = $102Answer: subscriptions per week: 34
Extra income per week: $94.20
Step-by-step explanation: I got this right on Edmentum
The product of a number and 18 is -378. what does that mean or what's the equation
Answer:
Hope this helps you to solve it
The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real numbers} {y | y ≤ 0} {y | y ≥ 0}
Answer:
{y | y ≤ 0}
Step-by-step explanation:
The vertical extent of the graph is all values of y less than or equal to zero:
{y | y ≤ 0}
Answer: {y | y ≤ 0}
Step-by-step explanation: It is the correct answer <3 have an amazing day.
A construction company finally completed a major project that paid $1,786,000. This company uses contract workers instead of employees. The money is to be divided in the ratio 4:2:3:3 among the company, The plumber, the electrician and the auxiliary workers. Calculate how much each of them receives.
Answer:
The company receives $595,333.333.
The plumber receives $297,666.667.
Each the electrician and the auxiliary workers receive $446,500.
Step-by-step explanation:
The total amount is $1,786,000.
Company:
The company receives [tex]\frac{4}{4 + 2 + 3 + 3} = \frac{4}{12} = \frac{1}{3}[/tex] of the total amount. So
[tex]\frac{1*1786000}{3} = 595333.333[/tex]
The company receives $595,333.333.
Plumber:
[tex]\frac{2}{4 + 2 + 3 + 3} = \frac{2}{12} = \frac{1}{6}[/tex] of the total amount. So
[tex]\frac{1*1786000}{6} = 297666.667[/tex]
The plumber receives $297,666.667.
Electrician and the auxiliary workers:
Each receives [tex]\frac{3}{4 + 2 + 3 + 3} = \frac{3}{12} = \frac{1}{4}[/tex] of the total amount. So
[tex]\frac{1*1786000}{4} = 446500[/tex]
Each the electrician and the auxiliary workers receive $446,500.
What is the solution of the equation x2 + 8x = 4?
Answer:
hope this is correct
Verify that (AUB)’=A’n B’
Assuming [tex]A'[/tex] denotes the complement of the set [tex]A[/tex], i.e. all elements in the universal set that do not belong to [tex]A[/tex], then we can prove this in general.
To establish equality between two sets, you need to show that they are both subsets of one another.
Prove [tex](A\cup B)'\subseteq A'\cap B'[/tex]:Let [tex]x\in(A\cup B)'[/tex].
By definition of set complement, this means [tex]x\not\in A\cup B[/tex].
By definition of set union, [tex]x\not\in A[/tex] and [tex]x\not\in B[/tex].
By definition of complement, [tex]x\in A'[/tex] and [tex]x\in B'[/tex].
By definition of set intersection, [tex]x\in A'\cap B'[/tex].
Therefore [tex](A\cup B)'[/tex] is a subset of [tex]A'\cap B'[/tex], because membership of some arbitrary element in the first set directly implies membership in the second set.
Prove [tex]A'\cap B'\subseteq(A\cup B)'[/tex]:Let [tex]x\in A'\cap B'[/tex]. The proof follows similarly as above.
By definition of intersection, [tex]x\in A'[/tex] and [tex]x\in B'[/tex].
By definition of complement, [tex]x\not\in A[/tex] and [tex]x\not\in B[/tex].
By definition of union, [tex]x\not\in(A\cup B)[/tex].
By definition of complement, [tex]x\in(A\cup B)'[/tex].
Therefore [tex]A'\cap B'[/tex] is a subset of [tex](A\cup B)'[/tex].
And hence both sets are equal, regardless of what the sets may be.
once again i need help with my 8th grade hw [tex]-9\leq 7-8x[/tex] ... thnx
Step-by-step explanation:
-9 ≤ 7 − 8x
8x ≤ 16
x ≤ 2
Suppose that you record the daily high temperature and the daily amount of ice cream sold by an ice cream vendor at your favorite beach this summer, starting on Memorial Day weekend and ending on Labor Day weekend. Would you expect to find a positive or negative association between these variables? Explain briefly.
Answer:
positive
Step-by-step explanation:
the higher the temp the higher the number of ice creams sold
The association would be positive between the variables.
Given that,
Recorded the daily high temperature and the daily amount of ice cream sold by an ice cream vendor at your favorite beach this summer, starting on Memorial Day weekend and ending on Labor Day weekend.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the temperature increases, people will love to eat the ice cream more, which increase the sales of the ice cream which implies that the association would be positive between the variable.
Thus, the association would be positive between the variables.
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5-3+78 divided by 3=
Answer:
26 remainder 2
Step-by-step explanation:
5 - 3 =2
2 + 78 = 80
80 ÷ 3
3 can go into 8 twice remaining with 2
2 goes across to 0
3 can go into 20 6 times because 3×6= 18
so 3 into 20 is 6 remainder of 2
answer= 26 remainder of 2
Answer:
[tex]= 26 \frac{3}{2} \\ [/tex]
Step-by-step explanation:
[tex]5 - 3 + 78 \div 3 \\ 2 + 78 \div 3 \\ 80 \div 3 \\ = 26 \frac{3}{2} [/tex]
hope this helps you
What are the values of a and b? Select one: a. a equals 18 comma space b equals 4 square root of 5 b. a equals 64 comma space b equals 80 c. a equals 8 comma space b equals 4 square root of 5 d. a equals 8 comma space b equals 8 square root of 5
Answer:
a is a value of 5 and b is is equal to 9
Step-by-step explanation:
all you have to do is get 16 and 4 by them self and take them out, and find the remaining numbers
Answer: a = 8, b = [tex]4\sqrt{5}[/tex]
Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable.
Answer:
[tex][0,Z_n][/tex]
Step-by-step explanation:
Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases
Since Amazon is an online purchase, The set of possible values for the variable is a positive real number. It is a positive real number that must be within [tex]Z_n[/tex]. It cannot exceed the tax percentage for online purchases that can be found in Amazon. [tex]Z_n[/tex] is a set of online purchases that can be found on Amazon, therefore the set of possible values for the variable is [tex][0,Z_n][/tex]
Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and d are integers 1. x^2-2x-15=(ax+b)(cx+d) 2. 2x^-6x-36x=2x(ax+b)(cx+d) 3. 4x^2+10x+4=(ax+b)(cx+d) . Fill in the table with the missing values of a, b, c, and d.
Answer:
(1, -5, 1, 3)(2, -12, 1, 3)(4, 2, 1, 2)Step-by-step explanation:
Obviously, factors can be written in any order. So, there are multiple answers to this question.
1. x^2 -2x -15 = (x -5)(x +3) . . . . (a, b, c, d) = (1, -5, 1, 3)
__
2. 2x^2 -6x -36 = 2(x^2 -3x -18) = 2(x -6)(x +3) . . . . (a, b, c, d) = (2, -12, 1, 3)
__
3. 4x^2 +10x +4 = 2(2x^2 +5x +2) = 2(2x +1)(x +2) . . . . (a, b, c, d) = (4, 2, 1, 2)
What is the slope of this line?
Answer:
1
Step-by-step explanation:
We need to points
(-1,0) and (0,1)
The slope is found by
m= (y2-y1)/(x2-x1)
m = (1-0)/(0- -1)
= (1-0)/(0+1)
= 1/1
The slope is 1
Answer:
1
Step-by-step explanation:
The slope is rise/run and can be found by counting how many units up and over you must go from one point on the line to another.
Therefore the answer is
1
Which phrase best describe the translation from the graphy y=(x+2)² to the graph of y=x²+3
Answer:
2 units right
3 units up
Step-by-step explanation:
the graph y=(x+2)² is the parent function y=x^2 translated 2 units left
the graph y=x²+3 is the parent function y=x^2 translated 3 units up
so, the translation from y=(x+2)² to y=x²+3 is:
2 units right (to get to zero)
3 units up
(you can change the order if you want, it doesn't really matter here)
Please help !!! Ill give you brainliest!!!
Answer:
72
Step-by-step explanation:
s=9
t=8
therefore , st
9×8
= 72
Answer:
st
Putting the value of s and t in above equation
=> 9 × 8
=> 72
Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school. What is the mean of the sampling distribution of the proportion of the students who prefer later start times for school
Answer:
The mean of sampling distribution of the proportion of the students who prefer later start times for school
μₓ = p = 0.63
Step-by-step explanation:
Explanation:-
Given sample size 'n' =200
given data Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school
sample proportion
[tex]p = \frac{x}{n} = \frac{126}{200} = 0.63[/tex]
The mean of sampling distribution of the proportion of the students who prefer later start times for school
μₓ = p = 0.63
Standard deviation of the proportion
[tex]S.D = \sqrt{\frac{p(1-p)}{n} } = \sqrt{\frac{0.63(1-0.63)}{200} } = 0.034[/tex]
