Answer:
[tex]P(21<X<28)=P(\frac{21-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{28-\mu}{\sigma})=P(\frac{21-24}{3}<Z<\frac{28-24}{3})=P(-1<z<1.33)[/tex]
And we can find the probability with this difference
[tex]P(-1<z<1.33)=P(z<1.33)-P(z<-1)[/tex]
And using the normal standard distribution or excel we got:
[tex]P(-1<z<1.33)=P(z<1.33)-P(z<-1)=0.908-0.159=0.749[/tex]
Step-by-step explanation:
Let X the random variable that represent the soft drink machine outputs of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(24,3)[/tex]
Where [tex]\mu=24[/tex] and [tex]\sigma=3[/tex]
We want to find this probability:
[tex]P(21<X<28)[/tex]
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(21<X<28)=P(\frac{21-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{28-\mu}{\sigma})=P(\frac{21-24}{3}<Z<\frac{28-24}{3})=P(-1<z<1.33)[/tex]
And we can find the probability with this difference
[tex]P(-1<z<1.33)=P(z<1.33)-P(z<-1)[/tex]
And using the normal standard distribution or excel we got:
[tex]P(-1<z<1.33)=P(z<1.33)-P(z<-1)=0.908-0.159=0.749[/tex]
What can you conclude about the hypotenuse of the two triangles?
Answer: C
Step-by-step explanation:
Since the sides are marked with the little lines, you know they are congruent with each other. Since the sides are congruent, you know the hypotenuse will be congruent.
You can argue that these triangles are similar, but the difference is that similar triangles are the same shape, but not the same size. These triangles are congruent because they are the same size and shape. Therefore, the hypotenuse is congruent.
Find the area of the trapezoid with the numbers 4, 3, 3 ,1
Answer:
The answer depends on the shape of the trapezoid...
Step-by-step explanation:
A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel. (trapezium)
Area = (a+b/2) * h
IF the sides are a = 3 ,b = 3 and height = 4
THEREFORE:
(3+3/2) * 4
6/2 * 4
3 * 4
12
Hope it helped.... Please mark as brainliest..thanks!!!
What is the y value?
Answer:
y =34
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
63+ 2y+ y+15 = 180
Combine like terms
78+ 3y = 180
Subtract 78 from each side
78+3y-78 = 180-78
3y = 102
Divide each side by 3
3y/3 = 102/3
y =34
Answer:
[tex]y = 34[/tex]
Step-by-step explanation:
Sum of the angles in a triangle is 180 degrees
[tex]2y + 63 + y + 15 = 180 \\ 3y + 63 + 15= 180 \\ 3y +7 8 = 180 \\ 3y = 180 - 78 \\ 3y =10 2 \\ \frac{3y}{3} = \frac{102}{3} \\ y = 34 [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve the system using substitution.
5x+ 4y = 10
4x - y = 8
Answer:
Step-by-step explanation:
hello
from 4x-y=8 we can say that y = 4x-8
we substitute in the first equation to get
5x + 4 (4x-8) = 10
then
5x + 16 x -32 = 10
<=> 21x = 32+10=42
<=> x = 42/21 = 2
and then y = 8-8=0
don t hesitate if you need any further explanation
thanks
Answer: x = 2, y = 0 or (2 , 0)
Step-by-step explanation:
Solving using substitution is where you solve for a variable in one of the two equations in the system then plug it into the other.
For an easier plug in we can take the second equation. 4x-y = 8.
From here we need to isolate the y variable which is easier to isolate than x, in my opinion.
Subtract the 4x over.
-y = 8-4x
Now divide by a -1 so y is positive.
y= -8 + 4x
Now plug this in for y in the other equation.
5x + 4(-8 + 4x) = 10
Distribute the 4.
5x - 32 + 16x = 10
Combine like terms
21x - 32 = 10
Add the 32.
21x = 42
Divide by 21.
x = 2
Now that we have solved for one variable we can plug this into either equation and solve for the other.
I will plug it into the second equation.
4(2) - y = 8
Simplify.
8 - y = 8
Subtract 8.
-y = 0
Divide by -1.
y = 0
So the x and y values are.
x = 2
y = 0
(3xy)*x*у
х
Зуз
Зхуз
9xуз
9x5уз
Answer:
3 x^2 y^2
Step-by-step explanation:
Simplify the following:
3 x y x y
3 x y x y = 3 x^2 y^2:
Answer: 3 x^2 y^2
What is a factor of 10 but not a multiple of 2
5
Step-by-step explanation:
5 goes into 10 but 2 does not go into 5
Solve the following equation using the quadratic formula: 3(x+4)2 - 81 = 0
Answer:
[tex]-4\pm 3\sqrt{3}[/tex]
Step-by-step explanation:
[tex]3(x+4)^2-81=0 \\\\3(x^2+8x+16)-81=0 \\\\3x^2+24x+48-81=0 \\\\3x^2+24x-33=0 \\\\x=\dfrac{-24\pm\sqrt{24^2+4(3)(33)}}{2(3)}= \\\\\dfrac{-24\pm\sqrt{972}}{6}= \\\\\dfrac{-24\pm 18\sqrt{3}}{6}= \\\\-4\pm 3\sqrt{3}[/tex]
Hope this helps!
The city of Eden completed a new light rail system to bring commuters and shoppers into the downtown area and relieve highway congestion. City planners estimate that each year, 15% of those who drive or ride in an automobile will change to the light rail system; 80% will continue to use automobiles; and the rest will no longer go to the downtown area. Of those who use light rail; 5% will go back to using an automobile, 80% will continue to use light rail, and the rest will stay out of the downtown area. Assume those who do not go downtown will continue to stay out of the downtown area. The transition matrix associated with this Markov chain is a.an absorbing stochastic matrix. b.a regular stochastic matrix.
Answer:
Step-by-step explanation:
To check which option is correct we will first make transition matrix.
Let the state 1 and state 2 represent the automobile and light rail
So, the transition is given by
[tex]P=\left[\begin{array}{ccc}0.80+0.05&0.15\\0.5+0.15&0.80\end{array}\right][/tex]
[tex]P=\left[\begin{array}{ccc}0.85&0.15\\0.20&0.80\end{array}\right][/tex]
Since P as no any entry zero so, P as not absorbing stochastic matrix
Also,
[tex]|P| = \left|\begin{array}{ccc}0.85&0.15\\0.20&0.80\end{array}\right| \\\\=0.85\times0.8-0.15\times0.2\\\\=0.65\neq0[/tex]
since |P| ≠ 0
Hence, Markov chain is a regular stochastic matrix.What is the square root of -1
Answer:
i
Step-by-step explanation:
It's imaginary, or it can also be referred to as i.
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
OP = OQ
Answer:
B
Step-by-step explanation:
Look at the shape closely observe the following the imaginary lines;
OC = OA , OB = OD {these is the raduis of the circle;
note also line CQ = CD { the perpendicular line bisects line CD in two equal halves;
Similarly ;
note also line AP= PB { the perpendicular line bisects line OP in two equal halves}
Hence;
OP is congruent to the OQ
In maths we say something is congruent when they are the same shape and have same angles but we are allowed to flip it's side.
2.1.40: The police records of a city contain the following statistics on offenses for the month of May: 430 assaults, 146 robberies, and 131 drug sales. The records also show that 26 people were involved in both assault and robbery and that 33 people were involved in both assault and drug sales. What is the greatest possible number of offenders for May who satisfy these statistics
Answer:
648
Step-by-step explanation:
Number of Assaults, n(A)=430
Number of Robberies, n(R)=146
Number of Drug Sales Offenses, n(D)=131
Number involved in both assault and robbery= [tex]n(A\cap R)=26[/tex]
Number involved in both assault and drug sales= [tex]n(A\cap D)=33[/tex]
Therefore, to find the greatest possible number of offenders for May who satisfy these statistics, we remove the number of those who were involved in more than one crime.
This gives us:
[tex]=n(A)+n(R)+n(D)-n(A\cap R)-n(A\cap D)\\=430+146+131-26-33\\=648[/tex]
The greatest possible numbers of offenders in May is 648.
PLEASEE HELP ME!!!!!!
Answer:
I). X= 1,0. II) 1.72
Step-by-step explanation:
Using quadratic formula
A researcher was interested about the weekly average usage of a local park in San Antonia, Texas. A study was designed to study the relationship between age and number of times residents visited the park each week. They were interested to see if age tends to impact the number of times residents visit the park. The surveyor collected responses information about age and the number of visits per week from 118 residents of San Antonia, Texas. They provided them with an anonymous paper survey to fill out.
Required:
a. What are the observational units in this study?
b. Is number of visits per week the explanatory or response variable?
c. Is age the explanatory or response variable?
d. Is this an observational study or a randomized experiment?
e. What is the most concerning type of bias in this study? Why?
f. What is the appropriate scope of inference in this study
Answer:
a) Residents of San Antonia, Texas
b) Response variable
c) Explanatory variable
d) Observational study
e) Response bias
f) The appropriate scope of interest is the " relationship between age and the weekly average usage of local parks in San Antonia"
Step-by-step explanation:
a) In this study, the objects or entities on which observation is done are the residents of San Antonia, hence they are the observational units.
b) In this observation, the number of visits per week is the response variable because it is the outcome of the observation. It is a dependent variable that varies due to variation in the ages.
c) Age is the variable that helps to predict the average number of visits to the park, it can then be called the predictor variable. It is independent of any external variable.
d) This is an observational study because it is meant to observe the relationship between the ages and the average number of visits to the park per week. The variables are not randomly assigned.
e ) The type of bias that is most concerning in this study is response bias. This is because it is a paper survey and their can be invalid responses either due to unfaithfulness or ignorance of the respondents.
f) The appropriate scope of the inference in this study is the relationship between the ages and the weekly average usage of local parks in San Antonia.
You are shopping online for a new TV. The one you want costs $2,500. You live in New York where the state sales tax rate is 8.49%. Your sister lives a short distance over the border in CT where the state sales tax rate is 6.35%. If you have the TV shipped to her and you pick it up. How much will you save?
Answer:
$5350
Step-by-step explanation:
see attachment
Answer:
Its 53.50
Step-by-step explanation:
The tree diagram represents an
experiment consisting of two trials.
.4
.5
.6
D
.3
С
.5
.7
D
Þ(B and D) = [?]
ter
Answer:
0.35
Step-by-step explanation:
.5x.7
Help ill give you brainliest and points !!!!!
Answer:
1.12
2.85
3.60
Step-by-step explanation:
1.
if m = 12 you solve by dividing 144/12
144/12 = 12
2.
when m = 11 you solve by computing 7(11) + 8
7(11) = 77 so you solve from there 77 + 8 which equals 85
3.
When g = 4 you solve my multiplying 15(4)
15(4) = 60
Answer:
first question: 12
second question: 85
third question: 60
Step-by-step explanation:
first question: plug in 12 for m and you would get 144/12 which equals 12.
Second question: plug in 11 for m and you have 7(11) + 8.
77+8 = 85
third question: plug in 4 for g and you have 15(4)
15 x 4 = 60.
*parentheses mean multiplication when next to a number
ex: 7(11)
not ex: 3 + (2/3) since it isn't directly next to the first number, instead its adding
To the nearest degree, what is the measure of the central angle for faucets?
Answer:
43°
Step-by-step explanation:
How much of other chemicals must be evaporated from 400 grams of a hand sanitizer
that is 24% alcohol to strengthen it to a hand sanitizer that is 30% alcohol? Correct your
answer to the nearest whole number.
Answer:
24 g
Step-by-step explanation:
We first find the mass of 24 % alcohol in 400 g of hand sanitizer. Let x be the mass of alcohol. So, x/400 × 100 % = 24 %
x/400 = 0.24
x = 0.24 × 400
= 96 g
The mass of the other chemicals is thus 400 g - 96 g = 304 g
We now find the mass of 30 % alcohol in 400 g of hand sanitizer. Let y be the mass of alcohol. So, y/400 × 100 % = 30 %
y/400 = 0.30
y = 0.30 × 400
= 120 g
The mass of the other chemicals is thus 400 g - 120 g = 280 g
The mass of other chemicals that needs to be evaporated is thus 304 g - 280 g = 24 g
The sum of two numbers is 41. One number is 1 less than the other.
Answer:
s must be 21 and r is 20
Step-by-step explanation:
Represent the two numbers using variables r and s.
Then r + s = 41, and r = s - 1
Substituting the 2nd equation for r into the first equation, we get:
s - 1 + s = 41, or 2s = 42. Then s must be 21 and r is 20.
Which inequality represents the sentence below? Four and nine tenths less than the product of a number and six is no more than eighteen and one-eighth. 4 and StartFraction 9 over 10 EndFraction minus 6 x less-than-or-equal-to 18 and StartFraction 1 over 8 EndFraction 6 x minus 4 and StartFraction 9 over 10 EndFraction less-than-or-equal-to 18 and StartFraction 1 over 8 EndFraction 4 and StartFraction 9 over 10 EndFraction less-than 6 x + 18 and StartFraction 1 over 8 EndFraction 6 x minus 4 and StartFraction 9 over 10 EndFraction less-than 18 and StartFraction 1 over 8 EndFraction
Answer:
D. 6x-4 9/10<= 18 1/8
Step-by-step explanation:
Sorry I'm a little late :(
What is the range of a function?
Answer:
The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}
Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
U=
х
4(x +1)
O x +1
(x + 1)2
Answer:
Step-by-step explanation:
We are given the equation [tex](x+1)^2-4(x+1)+2=0[/tex]. Consider the substitution u = (x+1). Then the equation turns out to be [tex]u^2-4u+2=0[/tex]
Recall that given a second degree polynomial of the form [tex]ax^2+bx+c =0[/tex] then its solutions are given by the expression
[tex] x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}[/tex]
In our case, a = 1, b = -4 and c =2. Then the solutions are
[tex]u_1 = \frac{4+\sqrt[]{(-4)^2-4(2)}}{2} = 2 +\sqrt[]{2}[/tex]
[tex]u_2 = \frac{4-\sqrt[]{(-4)^2-4(2)}}{2} = 2 -\sqrt[]{2}[/tex]
We have that x = u-1. So the original solutions are
[tex]x_1 = 2 +\sqrt[]{2}-1 = 1 + \sqrt[]{2}[/tex]
[tex]x_2 =2 -\sqrt[]{2} -1 = 1 - \sqrt[]{2}[/tex]
Answer: x+4
Step-by-step explanation: part one- x+4
Part two- 3+sqrt21 over 2 +4 & 3- sqrt21 over 2 +4
Watch help video
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,4) and (-2,-4)
Answer:
1
Submit Answer
attempt 1 out of 2
Answer:
10
Step-by-step explanation:
Using the distance formula, the distance is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((-2-4)^2 +(-4-4)^2) = √((-6)^2 +(-8)^2) = √(36 +64)
d = √100 = 10
The distance between the two points is 10 units.
How many solutions does the equation –2(3x – 1) = –6x – 1 have?
What about 2(3x – 1) = 6x – 2?
What about 2(3x – 1) = –6x – 2?
Answer: See below
Step-by-step explanation:
–2(3x – 1) = –6x – 1
-6x + 2 = -6x - 1 (IMPOSSIBLE, ZERO)
2(3x – 1) = 6x – 2
6x - 2 = 6x - 2 (INFINITE)
2(3x – 1) = –6x – 2
6x - 2 = -6x - 2 (ONE, x can be the number 0)
Please answer this correctly
Answer:
x = 6
Step-by-step explanation:
Assuming these rectangles are similar, you can set up a proportion like this:
[tex]\frac{15}{10} =\frac{x}{4}[/tex]
→Cross multiply:
[tex]\frac{60}{10x}[/tex]
→Divide 60 by 10:
x = 6
Apple would like to estimate the web browsing battery life of the iPad. The following data represents the battery life, in hours, experienced by six users.
10 14 14 16 13 8
Using this sample, the point estimate for the web browsing battery life of the iPad is:________
Answer:
12.5 hours
Step-by-step explanation:
The data which represents the battery life, in hours, experienced by six users is given below:
10 14 14 16 13 8
To determine the point estimate for the web browsing battery life of the iPad, we find the mean number of hours.
[tex]Mean=\dfrac{10+14+14+16+13+8}{6} \\\\=\dfrac{75}{6} \\\\=12.5[/tex]
The point estimate for the web browsing battery life of the iPad is: 12.5 hours
A community center sells a total of 305 tickets for a basketball game. An adult ticket costs $5. A student ticket costs $1. The sponsors collect $693 in ticket sales. Find the number of each type of ticket sold.
Answer: student tickets = 208
Adult tickets = 97
Step-by-step explanation:
x + y = 305
x = 305 - y
5x + y = 693
Substituting
5 (305 - y) + y = 693
1525 - 5y + y = 693
-4y = -832
y = 832 / 4 = 208
Line segment Q R , Line segment R S are Line segment S Q midsegments of ΔWXY. Triangle R Q S is inside triangle X Y W. Point R is the midpoint of side X Y, point S is the midpoint of side Y W, and point Q is the midpoint of side X W. The length of Q R is 2.93 centimeters, the length of R S is 2.04 centimeters, and the length of Q S is 2.28 centimeters. What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm
Answer:
14.50 cm
Step-by-step explanation:
The Midsegment Theorem states that the midsegment connecting the two sides of a triangle is parallel to the third side, and its length is half that of the third side.
Thus, ∆XYZ is similar to ∆QRS with a scale factor of 2.
Also, the perimeter of ∆XYZ is twice that of ∆QRS.
For ∆QRS, P = 2.93 cm + 2.04 cm + 2.28 cm = 7.25 cm
∴ The perimeter of ∆XYZ = 2 × 7.25 cm =14.50 cm
The Perimeter of triangle WXY is 14.5cm
The formula for calculating the perimeter of the triangle WXY is given as:
Perimeter of triangle WXY = XY + YZ + XY
From the given triangle;
QR = 2.93cmQS = 2.28cmRS = 2.04cmAlso,
XR = RY = QR = 2.93cmZS = SY = QS = 2.28cmZQ = QX = RS = 2.04cmPerimeter of triangle WXY = 2QR + 2QS + 2RS
Perimeter of triangle WXY = 2(2.93) + 2(2.28) + 2(2.04)
Perimeter of triangle WXY = 5.86 + 4.56 + 4.08
Perimeter of triangle WXY = 14.5cm
Hence the Perimeter of triangle WXY is 14.5cm
Learn more on perimeter of triangles here: https://brainly.com/question/24382052
The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. What percentage of men are SHORTER than 67 inches
Answer:
14.69% of men are SHORTER than 67 inches
Step-by-step explanation:
When the distribution is normal, we use 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.
The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.67 inches.
This means that [tex]\mu = 69.8, \sigma = 2.67[/tex]
What percentage of men are SHORTER than 67 inches
This is the pvalue of Z when X = 67. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 69.8}{2.67}[/tex]
[tex]Z = -1.05[/tex]
[tex]Z = -1.05[/tex] has a pvalue of 0.1469
14.69% of men are SHORTER than 67 inches
Need help ASAP thank you!!!
Answer:
= 180 yd^3
Step-by-step explanation:
The volume of a triangle prism is
V= Bh where B is the area of the base
B = area of the triangle
= 1/2 *8* 5
= 20 yd^2
V = 20 yd^2 * 9 yd
= 180 yd^3
