Answer:
12mm since its supposed to be for larger rectangles
Step-by-step explanation:
I need help understanding this, I don't mind if you just give me the answer but just tell me, please.
Answer:
73.50
Step-by-step explanation:
Answer:
67.5
Step-by-step explanation:
his earnings increase in a linear way so we can express it as linear equation;
y = ax+ b ,
a is the slope in this case it is 7.5$ for every hour
b is the initial value, in this case 0
y = 7.5x
we will write 9 insted of x to find the amount of money when working for 9 hours;
y = 7.5 x 9 = 67.5
Please help with this
it's the first answer choice
Step-by-step explanation:
If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 434[/tex]
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 434[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that [tex]\mu = 434[/tex]
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]
[tex]z = -0.75[/tex]
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.
Solution :
Given :
p = 12% = 0.12
n = 15..
Mean is defined as the product of a sample size n and the probability p such that :
[tex]$\mu_X = np = 1500 \times 0.12$[/tex]
= 180
Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :
[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]
[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]
≈ 12.5857
The z-score is given by :
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac {165-180} {12.5857 }$[/tex]
≈ -1.19
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac{195-180} {12.5857 }$[/tex]
≈ 1.19
Now determining the corresponding probability using table :
P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )
= 1-2 x P(Z < -1.19)
= 1-2 x 0.1170
= 1-0.2340
= 0.7660
= 76.60%
Given values,
p = 12%= 0.12
n = 1500The mean will be
→ [tex]\mu x = np[/tex]
By putting the values,
[tex]= 1500\times 0.12[/tex]
[tex]= 180[/tex]
The standard deviation will be:
→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]
[tex]= 12.5857[/tex]
The z-score will be:
→ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]= \frac{165-180}{12.5857}[/tex]
[tex]= -1.19[/tex]
and,
→ [tex]z = \frac{195-180}{12.5857}[/tex]
[tex]= 1.19[/tex]
hence,
The probability will be:
→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]
[tex]= 1-2\times P(Z < -1.19)[/tex]
[tex]= 1-2\times 0.1170[/tex]
[tex]= 1-0.2340[/tex]
[tex]= 0.7660[/tex]
[tex]= 76.60[/tex] (%)
Thus the answer above is right.
Learn more about probability here:
https://brainly.com/question/13796006
15 POINTS
Consider the line in the coordinate plane that passes through the point (-7, -3) and the origin. Find the slope of a line perpendicular to the line described.
A) - 1, 3
B) - 3, 7
C) - 7, 3
D) 3, 7
Answer:
C. -7/3Step-by-step explanation:
The slope of the line that passes through points (0, 0) and (-7, -3) is:
m = (y₂ - y₁)/(x₂ - x₁) m = (-3 - 0)/(-7 - 0) = 3/7Perpendicular lines have opposite-reciprocal slopes:
-1 / (3/7) = - 7/3Correct choice is C
FREE BRAINLIST NEED HELP ASAP
Answer:
C. 904.78 cubic inches
Step-by-step explanation:
The volume of a cylinder = πr²h
=π(6²)(8)
=288π
=904.778684234 in³
-9b+2n-4+2b
Solve please
Answer:
-9b+2n-4+2b
-7b+2n-4 is your answer
I am not good at math, will give brainliest
Answer:
the answer is a
Step-by-step explanation:
what interest rate is the local credit union giving you on a car loan of 25,000 for 5 years if they will collect 1500 in interest? ASAP i only have 5 minutes
Answer:
1.2%
Step-by-step explanation:
please help i am stuck and trying not to fail lol. also if you can show work pls
Given:
The figure of rectangle.
To find:
a. The diagonal of the rectangle.
b. The area of the rectangle.
c. perimeter of the rectangle.
Solution:
(a)
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]
[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]
[tex]Hypotenuse=12\times 2[/tex]
[tex]Hypotenuse=24[/tex]
So, the diagonal of the of the rectangle is 24 units.
(b)
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan 30=\dfrac{12}{Base}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]
[tex]Base=12\sqrt{3}[/tex]
Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:
[tex]Area=length \times width[/tex]
[tex]Area=12 \times 12\sqrt{3}[/tex]
[tex]Area=144\sqrt{3}[/tex]
So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.
(c)
Perimeter of the rectangle is:
[tex]P=2(length+width)[/tex]
[tex]P=2(12+12\sqrt{3})[/tex]
[tex]P=24+24\sqrt{3}[/tex]
[tex]P\approx 65.57[/tex]
Therefore, the perimeter of the rectangle is about 65.57 units.
Josie recorded the average monthly temperatures for two cities in the state where she lives. For City 1,
what is the mean of the average monthly temperatures? What is the mean absolute deviation of the
average monthly temperatures? Round your answers to the nearest tenth.
Average Monthly Temperatures for City 1 (°F)
45, 37, 64, 50, 44, 49, 73, 76, 27, 23, 49, 45
Average Monthly Temperatures for City 2 (°F)
30, 22, 49, 35, 29, 34,58,61, 12, 8, 34, 30
The mean average monthly temperature in City 1 is
OF.
The mean absolute deviation for the average monthly temperature in City 1 is
OF.
Answer:
The mean average monthly temperature in City 1 is 48.75°F.
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
Step-by-step explanation:
For this case we have the following dataset given:
Average Monthly Temperatures for City 1 (° F)
30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37
Average Monthly Temperatures for City 2 (° F)
15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22
For this case the sample mean can be calculated with the following formula:
[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]
And replacing we got:
[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]
The mean average monthly temperature in City 1 is 48.75°F.
And now we can calculate the following values:
[tex]$|38-48.75|=10.75$[/tex]
[tex]$|66-48.75|=17.25$[/tex]
[tex]$|78-48.75|=29.25$[/tex]
[tex]$|47-48.75|=1.75$[/tex]
[tex]$|75-48.75|=26.25$[/tex]
[tex]$|35-48.75|=13.75$[/tex]
[tex]$|45-48.75|=3.75$[/tex]
[tex]$|56-48.75|=7.25$[/tex]
[tex]$|29-48.75|=19.75$[/tex]
[tex]$|49-48.75|=0.25$[/tex]
[tex]$|37-48.75|=11.75$[/tex]
And the mean absolute deviation is given by:
[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
Find the mode of the data set. 5, 3, 8, 4, 3, 2, 3, 4, 12, 12, 15, 4, 6, 3, 9
Answer:
3
Step-by-step explanation:
3 occurs the most in this data set
Answer:
The mode is 3.
Step-by-step explanation:
What is total area of the shaded sections
Answer:
Step-by-step explanation:
The shaded region is triangle.
Base = 1.1 in
Height = 3.8 in
Area of triangle = [tex]\frac{1}{2}*base * height[/tex]
[tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]
Area of shaded region = 2 * 2.09 = 4.18 square inches
What is the product of 3.8X102 and 6.4X106 expressed in scientific notation?
Answer:
24.32x10^8
Step-by-step explanation:
3.8x10^2 and 6.4x10^6
Put in expression.
(3.8x10^2)+(6.4x10^6)
Remover parenthesis.
3.8x10^2+6.4x10^6
Rearrange so like terms are together.
(3.8x6.4)+(10^2x10^6)
Then combine like terms.
24.32x10^8
So that's the answer.
---
hope it helps
The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?
Answer:
7040 yards
Step-by-step explanation:
1 mile = 1760 yards
1 x 4 miles = 1760 x 4 yards
4 miles = 7040 yards
the area of a rectangle is 84x18y what is the length.
Answer:
Area =L×w
84×18y =L×w
by comparison
L =84 and w=18y
for each of the following find the missing sides
Answer:
the missing side is 90 because is a right triangle
Which of the following scatterplots would have a trend line with a positive slope?
Answer:a
Step-by-step explanation:
What is the simplified value of the expression below?
StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50
Answer:
C: 110.25
Step-by-step explanation:
The simplification form of the provided expression is 18.25 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]
= (56 + 90)/8
= 146/8
= 18.25
Thus, the simplification form of the provided expression is 18.25 option (A) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer
Answer:
The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.
Step-by-step explanation:
A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.
Answer: statistical question
Step-by-step explanation:
cause your asking the current vice president.
Please help me i really need help
Answer:
[tex]A=745.06[/tex]
[tex]C=96.76[/tex]
HELP HELP HELP THIS IS DUE TODAY PLZZ HELP ME 1. Plot and label the temperatures on a number line. You can create it by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Answer:
What's the the temperatures?
Step-by-step explanation:
Which of the equations below could be the equation of this parabola?
Answer:
The correct answer is C
Your welcome:)
The equation below could be the equation of this parabola is y = -5x².
Option A is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:
y = a x², where a is a positive constant.
Now,
The only equation that fits this form is y = -5x².
Thus,
The equation below could be the equation of this parabola is y = -5x².
Learn more about parabola here:
https://brainly.com/question/21685473
#SPJ7
please please please help me i will give you brainliest
Answer:
∠QPT=122°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠PRQ+∠PRS=180
∠PRQ+118=180
∠PRQ=180-118
∠PRQ=62°
All angles in a triangle add to 180. Therefore:
∠PQR+∠QPR+∠PRQ=180
60+∠QPR+62=180
∠QPR+122=180
∠QPR=58°
Angles along a straight line add to 180. Therefore:
∠QPT+∠QPR=180
∠QPT+58=180
∠QPT=122°
. Find the cost of lodging: Four people staying for three nights at a cabin priced at $36.00 per night for two people, plus $3.50 per additional person
PLSSSSSSSSSSS HELP ASAPPP
Answer:
C
Step-by-step explanation:
400*.035 = 14 *2 = 28
250*.0325 = 8.125 *2 = 16.25
28 + 16.25 = 44.24
44.25+650 = 694.25
Solve for c........:
Mark my answer brilliant if it helps you.
Simplify: 10(-5x+4)
Jejdjejehhe
Answer:
-50x + 40
Step-by-step explanation:
10(-5x+4)
-50x + 40
WILL GIVE BRAINLIEST IF YOU HELP ME
Answer:
D. Point S
Step-by-step explanation
The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.
please helppppppppppppppppppppp
Answer:
The untrue statement is "B. This figure is a parallelogram"
Step-by-step explanation:
You know the figure isn't a parallelogram because parallelograms have no right angels, and this shape has two right angles.