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Dovator [93]
1 year ago
8

A variable is normally distributed with mean 23 and standard deviation 4. Use your graphing calculator to find each of the follo

wing areas. Write your answers in decimal form. Round to the nearest thousandth as needed.a) Find the area to the left of 25. b) Find the area to the left of 18. c) Find the area to the right of 23. d) Find the area to the right of 28. e) Find the area between 18 and 30. (b) Find the probability that the percent of fat calories a person consumes is more than 38. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use your z-score from part (a), rounded to one decimal place).Shade: Left of a value. Click and drag the arrows to adjust the values. Normal curveInterval pointer-1.5(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement.
Mathematics
1 answer:
MakcuM [25]1 year ago
3 0

a)

In order to calculate the area to the left of 25, first let's find the z-value using the formula below:

z=\frac{x-\mu}{\sigma}

Where x = 25, the mean is equal to 23 and the standard variation is equal to 4.

So we have:

z=\frac{25-23}{4}=\frac{2}{4}=0.5

Looking at the z-table for the probability of z <= 0.5, we have 0.6915, so the area to the left of 25 is equal to 0.6915.

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5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat
Naddik [55]

Answer:

Electricity bill is 175

<em />

Step-by-step explanation:

Given

Rent = 1800

Gas = 150

Each\ Roommate = 425 monthly

Number\ of\ Roommate = 5

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

Total = 5 * 425

Total = 2125

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

Gas + Rent + Electricity = 2125

150 + 1800+ Electricity = 2125

1950+ Electricity = 2125

Electricity = 2125 - 1950

Electricity = 175

<em>Hence, the electricity bill is 175</em>

4 0
3 years ago
A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 48°.
ratelena [41]

Answer:

=3501 yards.

Step-by-step explanation:

The three ships form a triangle.  From the Voyager the angle between the Norman and the Gladstone=180-(55+48)=77°

Let the position of the Voyager be V that of Norman be N and that of the Gladstone be G

Then, the distance between Norman and voyager is g

g/sin G=v/ Sin V

4590/Sin 77=g/Sin 48

g=(4590 Sin 48)/Sin 77

=3500.8 yards

The distance between the Norman and the voyager= 3501 yards.

3 0
3 years ago
Variables x and y are in direct proportion, and y = 35 when x = 2m. If x = 8m, then y =
Dmitry [639]
Y=140 because U have to go 35 divided by 2 and 8 times 17.5
8 0
3 years ago
Read 2 more answers
What is 18/25 as a decimal
Serga [27]

Answer: 0.72

Step-by-step explanation:

Hope that helps :)

4 0
3 years ago
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4.   Using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)? 
Mazyrski [523]
<span>Answer: y=5x or 5x-y=0
</span>
4 0
3 years ago
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