Answer:
2 7/8
Step-by-step explanation:
3 3/8- 4/8 = 2 7/8
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
d. 10 + 3у – 2 = 4у — у + 8
Answer:
3y+8=3y+8
Step-by-step explanation:
10+3y-2=4y-y+8
10+3y-2 combine 10 and -2 and you get 3y+8
4y-y+8 combine the 4y with the -y and you get 3y+8
3y+8=3y+8
in a population of grasshoppers, the ratio of grasshoppers with a white marking to those without a white marking is 2:3. An entomologist captures and photographs 290 grasshoppers. How many photographs are likely to show grasshoppers with a white marking?
A. 193
B. 58
C. 112
D. 116
Answer:
D. 116
Step-by-step explanation:
Let the grasshoppers with a white marking be 2x.
Let the grasshoppers without a white marking be 3x.
2x + 3x = 290
5x = 290
x = 290 / 5
x = 58
The grasshoppers with a white marking
= 2x
= 2 ( 58 )
= 116
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+41. 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.
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.
HEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLP
Answer:
7.)[tex]\frac{1}{2}[/tex]
8.) [tex]\frac{1}{8}[/tex]
9.)[tex]\frac{1}{3}[/tex]
10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]
I should know, I finished this like, a month ago?
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.
Rewrite the following as a multiplication and use an array to write it in standard form (15m + 24) ÷ 3.
Answer:
5m + 8
Step-by-step explanation:
Dividing by 3 is the same as multiplying by 1/3.
1/3 (15m + 24)
Distribute the 1/3
1/3 * 15m = 5m
1/3 * 24 = 8
5m + 8
Find Value of x. The diagram is not to scale.
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
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.
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);
}
}
}
½(8)(7+2) what is that??
Answer:
36
Step-by-step explanation:
image has step by step
Answer:
36
Step-by-step explanation:
1/2(8)(7+2)=x
1/2(8)(9)=x
4(9)=X
36=X
What does APS Stand for
apple presents stop motion studios?
2. Which number is irrational?
A. 319
B. 93
C. 419
D. 94
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:
https://brainly.com/question/1496357
#SPJ2
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:
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)
Natalie is almost always on time for class. In fact, the probability that she is on time for a given class is 90%. If there are 50 classes during the semester, what is the best estimate of the number of times out of 50 that Natalie is on time to class?
Answer:
45 out of 50
Step-by-step explanation:
First, 90/100 x 50 which = 45.
You could also do 5 x 9 which equals 45.
Hope this helps!!
In the diagram, which pair of angles are vertical angles?
<1&<2
<4&<6
<6&<8
<5&<3
Answer:
<6&<8
Step-by-step explanation:
Hope this helps!
Answers have to be 20 characters long so I added this to give you the answer!
Have a great day!
12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?
Answer: about 3 boxes would be 3.50 lbs so idrk
Step-by-step explanation:
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%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
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
Which equation best represents the relationship
between x and y in the graph?
PLEASE FOR BRAINLSIT!!!!
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Step-by-step explanation:
Let a=x+2 and b=x+6
The area of a rectangle is given by
A=a*b
So
[tex](x + 2) \times (x + 6) = {x}^{2} + 8x + 12[/tex]
Answer:
A = x² + 8x + 12
Step-by-step explanation:
Area of a rectangle:
A = bh
A = (x + 6)(x + 2)
A = x² + 2x + 6x + 12
A = x² + 8x + 12
factor the linear expression 24y - 40 using the greatest common factor of the terms
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
What is the value of x in the following equation?
7 = 2x^2 - x - 8 + x - 3
Answer:3,-3
Step-by-step explanation:
begin by simplifing the expression. So, the 2 x's will cancel out in the expression. you should have 7=2x^2-11. Then Subtract the 7 from both sides so you cna use the quadratic formula. This gives you 2x^2-18=0. Using the formula {-b+/sqrt(b^2-4ac)}/2a this gives us {-0+/sqrt(0^2-4*2*-18)}/2*2 this simplifies to 0+/- 12 all over 4. +12/4=3 and -12/4=-3.
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
