Answer:
No this is not true.
Step-by-step explanation:
An integer is a whole number and not a fraction.
An integer can be 0, 1, 3, 16, 18, 100, etc.
But an integer is either 0 - infinity.
For 8 * 10^m to equal 8, it has to be a fraction.
So, m can not be a integer. This is wrong.
Hope this helps! :)
Can someone help me find the area
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
I= $169.67,P= $2000,t= 8 months
If ur trying to find the rate its 12.7252%
Step-by-step explanation:
What does APS Stand for
apple presents stop motion studios?
The National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2626 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.)
Answer:
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47228 , 0.49868)
Step-by-step explanation:
Step(i):-
Given that the National Center for Health Statistics interviewed 5409 adult smokers in 2015
and 2626 of them said they had tried to quit smoking during the past year
proportion
[tex]P = \frac{x}{n} = \frac{2626}{5409} =0.48548[/tex]
Q = 1-P = 1 - 0.48548 = 0.5146
Step(ii):-
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
[tex](P - Z_{\alpha } \sqrt{\frac{PQ}{n} } , P+ Z_{\alpha } \sqrt{\frac{PQ}{n} } )[/tex]
[tex](0.48548 - 1.96 \sqrt{\frac{0.48548 X 0.51452}{5409} } , 0.48548+ 1.96\sqrt{\frac{0.48548 X 0.51452}{5409} } )[/tex]
( 0.48548 - 0.0132 , 0.48548 +0.0132)
(0.47228 , 0.49868)
Final answer:-
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47228 , 0.49868)
a/4 + 2 = 6
Please help I need this ASAP!!!
the answer is on the picture
7) You buy a notebook for $2.99 and a pack of erasers for $1.99. If you have a 25% off coupon for the whole order, how much will you have to pay for both items?
Answer:
i think it is $4.73
Step-by-step explanation:
Answer:
$3.73
Step-by-step explanation:
Notebook: $2.99
Pack of Erasers: $1.99
Add together to get the total amount before the coupon.
[tex]2.99 + 1.99 = 4.98[/tex]
Given 25% off coupon for the WHOLE ORDER. To make things easier, take 75% of 4.98.
[tex].75(4.98) = 3.735[/tex]
Or do the long way if you want.
[tex].25(4.98) = 1.245 = 1.25\\4.98 -1.25=3.73[/tex]
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
if virginia's sales tax rate is 4.3%, what is the total cost of a $34 virgina tech t-shirt?
Answer:
35.46
Step-by-step explanation:
34 x 1.043=35.46
A line includes the points (1,9) and (4,24). What is the equation in slope-intercept form?
Answer:
y = 5x+4
Step-by-step explanation:
The slope-intercept form of an equation is like this:
y= mx+bM stands for the slope and b for the y-intercept.
First, we need to find the slope:
m= slope= y1-y2/ x1-x2m= slope= 9-24/1-4m= 5Now we know: y= 5x+b
Now, to find b we have to choose one of your points. Let's use the first given point: (1, 9)
With the slope-intercept form equation I showed before, substitute x and y with the values of one point.
9= 5(1)+b9= 5+b9- 5= 5-5+b4= bSubstitute the b in the equation, and that's your answer:
y= 5x+4What is the measure of each exterior angle of a regular 15-sided figure?
a triangle has two sides of lenghts 10 and 14 what value could the length of third side be, check all that apply.
Answer:
A 5
B 16
E 8
F 10
Step-by-step explanation:
Help me with the work please if you can
Answer:
D, 525
Step-by-step explanation:
1) Find what percent 45 is out of 150
45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%
2) Find 30% of 1,750
1,750 x 0.3 = 525
Answer= D
100 POINTS!!
zapata junior high is considering changing its school colors. the results of a survey show that 20 of 36 students are in favor of the change. which is the best prediction for the number of students in the entire body of 1,200 students who are in favor of changing the school colors?
A. 50
B. 400
C. 660
D. 530
Answer: C
Step by Step Explanation: The answer is 660
The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
The results of a survey show that 20 of 36 students are in favor of the change.
Now, Let number of students in the entire body of 1,200 students who are in favor of changing the school colors is, x
Hence, We can formulate;
⇒ 20 / 36 = x / 1200
⇒ 5 / 9 = x / 1200
⇒ 1200 × 5 / 9 = x
⇒ x = 6000 / 9
⇒ x = 660
Thus, The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660
Learn more about the proportion visit:
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Please help me there due tonight!!! All help is appreciated.
Answer:
1. 160cm²
2. 176.25cm²
3. 33.75ft²
Step-by-step explanation:
Area triangle = (1/2)(base)(height)
1)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(8)(9))+2(0.5(8)(11))
=72+88=160cm²
2)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))
= 56.25 + 120 = 176.25cm²
3)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))
= 11.25+22.5 = 33.75ft²
Decent amount of points please help! :)
Noel correctly answers 80% of the questions on a test with
40 questions
How many questions does Noel answer correctly
O 5
08
32
50
Find angle R as shown by the picture
I need an explanation
Will name brainliest
Answer: C. 39 degrees
Step-by-step explanation: Hope this help :D
PLEASE HELP FAST!!!!
The area of the rubber coating for a flat roof is 96 square feet. The
rectangular frame the carpenter built for the flat roof has dimensions such
that the length is 4 feet longer than the width. What are the dimensions
of the frame?
Answer:
width is 8, length is 12
Step-by-step explanation:
l = w+4
l x w= 96
4+w x w = 96
w^2 +4w -96 = 0
w+12 W -8
w = 8
The dimensions of the frame are 8 feet in width, 12 feet in length.
Calculations and ParametersGiven the data:
[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]
Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.
Read more about length and breadth here:
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1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
factor the linear expression 24y - 40 using the greatest common factor of the terms
Which of the following names of geometric objects does The order of letters not matter
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions. 3 + 5= 8
Answer:
to me it's a simple solution
Step-by-step explanation:
2. Which number is irrational?
A. 319
B. 93
C. 419
D. 94
Can someone help of you dont know dont answer
Answer:
the answer is A for both of the questions
student will randomly select a tile from a bag containing one red one yellow one blue and one green tile and then roll a cube with faces numbered 1 through 6 what is the probability that a student draws a red or yellow towel in rolls a number between 1 and 3 enter your answer as a percentage to the nearest percent
I NEeD My BRiAnLiEsT PeRsOn
Answer:
25%Step-by-step explanation:
There are 4 colors, probability of red or yellow:
P(red or yellow) = 2*1/4 = 1/2And a cube faces 1 to 3:
P(1 to 3) = 3*1/6 = 1/2Probability of the two events above:
1/2*1/2 = 1/4 = 25%Bob Nale is the owner of Nale's Gas Station. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. He assumes a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. What is the z-statistic for a 99% confidence interval for the population mean.
Answer:
The z-statistic for a 99% confidence interval for the population mean is 2.575.
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 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
The z-statistic for a 99% confidence interval for the population mean is 2.575.
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
Each week, the Pickering Trucking Company randomly selects one of its 30 employees to take a drug test. Write an application that determines which employee will be selected each week for the next 52 weeks. Use the Math.random() function explained in Appendix D to generate an employee number between 1 and 30; you use a statement similar to:
Answer:
In Java:
import java.util.Random;
public class Main{
public static void main(String args []){
int Employee;
for(int weeks = 1;weeks<=52;weeks++){
Employee = 1 + (int)(Math.random() * 30);
System.out.println("Week "+weeks+" selected employee: "+Employee);
}
}
}
Step-by-step explanation:
This imports the Random package into the program
import java.util.Random;
public class Main{
public static void main(String args []){
Declare employee as integer (represents employee 1 to 30)
int Employee;
Iterate from week 1 to 52
for(int weeks = 1;weeks<=52;weeks++){
Randomly select an employee from 1 to 30 (inclusive)
Employee = 1 + (int)(Math.random() * 30);
Print the selected employee
System.out.println("Week "+weeks+" selected employee: "+Employee);
}
}
}
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! 100 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
4.1 in
Step-by-step explanation:
[tex]V=\pi r^{2}[/tex]
[tex]751=\pi r^{2}(10.7)[/tex] now we multiply pi and 10.71- i left it in the hundreths
place when i get my final answer ill round it to the tenths)
[tex]751=33.62r^{2}[/tex], we need the [tex]r^{2}[/tex] alone so we now dive with 33. 62 on both sides, elimenating the 33.62. Now 751/ 33.62= 16.98.
now we square root it
[tex]\sqrt{16.98}[/tex] = 4.12 which rounded is 4.1
Answer:
solution given.:
radius=[r] let
height[h]=10.7in
volume[V] of cylinder=751 in³
π=3.14
we have
volume[V] of cylinder=πr²h
751=πr² ×10.7
r²=[tex] \frac{751}{10.7×3.14} [/tex]
r=[tex] \sqrt{22.353} [/tex]=4.73inch
so radius is 4.73in
Which point is closest to the x-axis?
(4, 8)
(2, 11)
(8, 7)
(3, 13)
Answer:
B
Step-by-step explanation:
The other guy was wrong
(4, 8)
(2, 11)
✔(8, 7)
(3, 13)
