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morpeh [17]
2 years ago
15

The histogram to the right represents the weights​ (in pounds) of members of a certain​ high-school programming team. What is th

e class​ width? What are the approximate lower and upper class limits of the first​ class? 100 120 140 160 180 200 220 240 0 1 2 3 4 5 6 Weight (lbs) Frequency A histogram with horizontal axis labeled "Weight (pounds)" from 100 to 240 in intervals of 20 and vertical axis labeled "Frequency" from 0 to 6 in intervals of 1 contains seven adjacent vertical bars with heights as follows: 100 to 120, 4; 120 to 140, 1; 140 to 160, 1; 160 to 180, 3; 180 to 200, 3; 200 to 220, 4; 220 to 240, 2. What is the class​ width? The class width is nothing. ​(Simplify your​ answer.) What are the approximate lower and upper class limits of the first​ class? The approximate lower class limit is nothing. The approximate upper class limit is nothing. ​(Simplify your​ answers.)
Mathematics
1 answer:
AVprozaik [17]2 years ago
4 0

Answer:

Class width=20

Lower class limit of first class=100

Upper class limit of first class=120

Step-by-step explanation:

The class width can be calculated by taking the difference of two consecutive upper class limits or lower class limits.

Now we take any two consecutive upper class limits or lower class limits from classes 100-120,120-140,140-160,160-180,180-200,200-220,220-240.

We take upper class limits of first and second class i.e. 100 and 120.

Class width=120-100=20

Class width=20

The approximate lower and upper class limits of the first class from classes  100-120,120-140,140-160,160-180,180-200,200-220,220-240 are 100 and 120.

Class limits for first class is 100-120.

Lower class limit of first class=100

Upper class limit of first class=120

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According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce
Yakvenalex [24]

Answer:

26.11% of women in the United States will wear a size 6 or​ smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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.

In this problem, we have that:

\mu = 23.3, \sigma = 1.4

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

This is the pvalue of Z when X = 22.4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{22.4 - 23.3}{1.4}

Z = -0.64

Z = -0.64 has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or​ smaller

8 0
2 years ago
1. Write an exponential function to represent the spread of Ben's social media post. 2. Write an exponential function to represe
Alex777 [14]

Answer:

1. y = 2(3)ˣ; 2. y = 10(4)^x; 4. Amber = 192 and 3 145 728;

Ben has 54 and 11 098; Carter = 80 and 10 249 shares;

5. Shifted up 45 shares; 6. Amber's;

7. Fewer friends. more shares.

Step-by-step explanation:

The general equation for an exponential function is

y = a(b)ˣ

1. Ben's function

The initial value a = 2.

6 = 2(b)¹ = 2b

Ben's function is  

y = 2(3)^x

2. Carter's function

Carter shared his post with 10 friends on Day 0, so  a= 10.  

Each friend shared with 2 people each day, so b = 2.

Therefore, Carter's function is

y=10(2)ˣ

3. Graphs

\begin{array}{cccc}& \textbf{Amber} &\textbf{Ben}  & \textbf{Carter}\\\mathbf{x} & \mathbf{3(4)^{x}} &\mathbf{2(3)^{x}} & \mathbf{10(2)^{x}}\\0 & 3 & 2 & 10\\1 & 12 & 6 & 20\\2 & 48 & 18 & 40\\3 & 192 & 54 & 80\\\end{array}

The figure below shows the graphs for each function.

4. Predictions

(a) Amber

(i) Day 3

y = 3(4)³  = 3 × 64 = 192

(ii) Day 10

y = 3(4)¹⁰  = 3 × 1 048 576 = 3 145 728

(b) Ben

(i) Day 3

y = 2(3)³  = 2 × 27 = 54

(ii) Day 10

y = 2(3)¹⁰  = 2 × 29 049 = 118 098

(c) Carter

(i) Day 3

y = 10(2)³  = 10 × 8 = 80

(ii) Day 10

y =10(2)¹⁰  = 10 × 1024 = 10 240

5. Sharing with assisted living facility

y = 3(4)ˣ + 45

The new graph will be shifted up by 45 units.

6. Fastest post

Amber's post travels the fastest.

After only two days, she already has more posts than anyone else.

By Day 10, she has more than 25 times the shares of her closest competitor.

7. Preference

It's not the number of friends you have, but the number of shares they make, that is the important factor.

Carter started with 10 friends, but they made only two shares.

Amber started with only three friends, but they made four shares. By Day 3, she had 192 shares compared to 82 for Carter and only 54 for Ben

If I had to choose, I would prefer a post with fewer friends initially but more shares, like Amber.

5 0
2 years ago
Solve the equation. Negative StartFraction 9 Over 15 EndFraction y + StartFraction 3 Over 21 EndFraction = StartFraction 5 Over
mina [271]

Answer:

Step-by-step explanation:

9/15y + 3/21 = 5/15 y - 14/21. Adding 14/21 to both sides we then get 9/15y + 17/21 = 5/15y. Subtracting 5/15y from both sides, we get 4/15y + 17/21 = 0.

Then we get 4/15y = -17/21. Dividing by 4/15 gets us -17/21 * 4/15 = -68/315 = y.

4 0
2 years ago
Read 2 more answers
The total number of shares in Marks brothers is increased by 12.8% how many shares will there be after the increase
Lisa [10]

Answer:

Total number of shares is to increase by 12.8%

Step-by-step explanation:

After increase the number of shares will be 87984. hope this helps you :)

8 0
2 years ago
300-7[4(3+5)]+3 to the 3rd power
Mila [183]

Answer:

The answer is 103

Step-by-step explanation:

The given expression is:

300-7[4(3+5)]+3 to the 3rd power

3 to the 3rd power means 3^3

Therefore,

300-7[4(3+5)]+3^3

First we will solve the round bracket and find the cube

300-7[4(8)]+27

Now we will solve square bracket

300-7[32]+ 27

300-224+27

76+27

103

Thus the answer we get is 103....

7 0
2 years ago
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