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Please help answer this

Answers

Answer 1

Answer:

Answer:

the missing length is 5

Step-by-step explanation:

Since we are given similar triangles, we can simply use proportions to solve the problem:

we say that 2 is to side of length 4, the same as m is to side lengths 10. And in math terms:

$(2)/(4) =(m)/(10) \nm=(2*10)/(4) \nm=(20)/(4) = 5$

Answer 2

Answer: 5 because 4/2 is 2 and 10/2 is 5

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The percent of fat calories that a person consumes each day is normally distributed with a mean of 35 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.) b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

Answers

Answer:

a) 0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.

b) The first quartile for the average percent of fat calories is 33.31

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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:

$Z = (X - \mu)/(\sigma)$

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$

In this problem, we have that:

$\mu = 35, \sigma = 10, n = 16, s = (10)/(√(16)) = 2.5$

(a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.)

This is the 1 subtracted by the pvalue of Z when X = 37. So

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (37 - 35)/(2.5)$

$Z = 0.8$

$Z = 0.8$ has a pvalue of 0.7881

1 - 0.7881 = 0.2119

0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.

b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

The 1st quartile is the 25th percentile. So this is the value of X when Z has a pvalue of 0.25. So it is X when Z = -0.675. So

$Z = (X - \mu)/(s)$

$-0.675 = (X - 35)/(2.5)$

$X - 35 = -0.675*2.5$

$X = 33.31$

The first quartile for the average percent of fat calories is 33.31

Choose the two rectangular prisms that have a volume of 36 cm”.= 1 cm3
A.
D.
B.
E.
C.

Answers

Answer:

B & D

Step-by-step explanation:

Volume is calculated as:

$Volume = Length * Width * Height$

For (a):

$Length = 3cm$

$Width = 4cm$

$Height = 5cm$

$Volume = 3cm * 4cm * 5cm$

$Volume = 60cm^3$

For (b):

$Length = 3cm$

$Width = 4cm$

$Height = 3cm$

$Volume = 3cm * 4cm * 3cm$

$Volume = 36cm^3$

For (c):

$Length = 4cm$

$Width = 2cm$

$Height = 2cm$

$Volume = 4cm * 2cm * 2cm$

$Volume = 16cm^3$

For (d):

$Length = 2cm$

$Width = 3cm$

$Height = 6cm$

$Volume = 2cm * 3cm * 6cm$

$Volume = 36cm^3$

There's no need to check for (e)

Option b and d answers the question

Using the volumeof a rectangularprismto examine the volumesof the prism,the two prisms with a volumeof 36cm³are Band D

Recall:

Volumeofarectanglularprism=Length×width×Height

PrismA:

Length=3cm;Height=5cm;Width=4cm

Volume = 3cm × 5cm × 4cm = 60cm³

Prism B :

Length = 3cm ; Height = 3cm ; Width = 4cm

Volume = 3cm × 3cm × 4cm = 36 cm³

Prism C :

Length = 4cm ; Height = 3cm ; Width = 2cm

Volume = 4cm × 3cm × 2cm = 24 cm³

Prism D :

Length = 2cm ; Height = 6cm ; Width = 3cm

Volume = 2cm × 6cm × 3cm = 36 cm³

Prism E :

Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 4cm × 2cm × 2cm = 16 cm³

Hence, the two rectangularprismswith a volumeof 36cm³are Band D.

Learn more : brainly.com/question/25608731

How many numbers are between 0 and 4

Answers

Answer:

infinite rational numbers

Step-by-step explanation:

There are infinite rational numbers between 0 and 4. Now,single decimal value change like 2.34 and 2.35 can change the total value of a rational number. And there are infinite combinations of this decimal value between just two numbers.

Answer:

3 numbers

Step-by-step explanation:

Which pair of variables would most likely have a negative correlation?A. the time spent driving in a car and the number of miles driven

B. the height of a dog in inches and the number of ounces of food the dog eats per day

C. the number of sit-ups completed and the number of calories burned during a workout

D. the time spent reading a book and the number of pages remaining to be read in the book

Answers

The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.

Negative Correlation

This means that the variables involved move in the opposite direction from each other.
Means that as one variable increases, the other decreases and vice versa.

If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.

In conclusion, option D is correct.

Find out more on negative correlation at brainly.com/question/2476038.

Answer: D

Step-by-step explanation:

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 feet deeper, she would stop and check her instruments to make sure they were working properly. After Laurie had checked her instruments 3 times, she was at her maximum depth. Which expression best represents Laurie’s maximum depth? A: (4)(-5)(3)
B: (-4)(-5)(-3)
C: (-5)(20)(3)
D: (-5)(-20)(-3)

Answers

You could compute it based on the given information as (-20)(3). The next best choice is ...
A: (4)(-5)(3)

_____
There is nothing in the problem statement that specfically says after 4 stops she checks her instruments. You have to figure that from -20/-5. That is why I would skip that step and go directly to (-20)(3).

C because shes going deeper which is down so negattive

the equation of line AB is y = -1/4 x - 2. write an equation of a line parallel to line AB in slope intercept form that contains point (-3,2)

Answers

The general equation of a straight line is in the form of;
Y=MX + c,
Where m is the gradient and
C the y-intersept.
Parallel line have the same gradient.
From the equation,
Y=-1/4X - 2,
Gradient = - 1/4.

Now assuming that the second line passes through (x,y) and (-3,2).
(Y-2)/(X--3) =-1/4
4(Y-2)=-1(X+3)
4Y-8 = -X-3
4Y = -X -3+8
4Y = -X +5
Y = -1/4X +5/4

Answer: y = -(1/4)x + 5/4

Explanation:

1) Parallel lines have equal slopes.

2) The slope-intercept form of the equation of the line is y = mx + b, where m is the slope and b is the y-intercept.

3) Hence, the slope of the given equation, i.e. y = (-1/4)x - 2 is m = -1/4

4) Therefore, that is the same slope of any line parallel to it, m = -1/4

5) The slope-point equation of the line is:

y - y₁ = m (x - x₁)

6) Now you replace -1/4 for m, and the point (-3,2)

⇒ y - 2 = [ -1/4) (x - (-3) ]

7) Expand the product and simplify:

y - 2 = -x/4 - 3/4
y = -x/4 -3/4 + 2
y = -x/4 + 5/4

And that is the equation requested

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