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3 years ago

Need Help please stuck on this one.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

3 0

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

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Given the following information about glucose levels (in milligrams of glucose per 100 milliliters of blood.) ( from 9.5)

Svetllana [295]

Answer:

A. 16.385

B. 9.532

C. (16.358)^2 is different from (9.532)^2

a. sigma squared of non pregnant women is GREATER THAN sigma squared of pregnant women

Step-by-step explanation:

<h3>A and B. Standard Deviation 's' of both columns:</h3>

The formula for the standard deviation is:

s = √(∑(x - μ)²/(n))

where,

∑ = is the sum function

x = a number from the set

μ = mean of the set

n = is the amount of the numbers in the set.

the column of non-pregnant women is

[73, 61, 104, 75, 85, 65, 62, 98, 92, 106]

first find the mean of this set:

mean = μ = (sum of all the numbers)/(amount of numbers)

μ = [73 + 61 + 104 +75 + 85 + 65 + 62 + 98 + 92 + 106]/(10)

μ = 821/10

μ = 82.1

similarly, for pregnant women the mean is

μ = 80.125

now, to find the standard deviation 's', first we need to find the variance 's²'. So, what you have to do is subtract each value in the column with the mean 'μ' and square the result.

for non-pregnant you will get:

[ 82.81, 445.21, 479.61, 50.41, 8.41, 292.41, 404.01, 252.81, 98.01, 571.21]

for pregnant you will get:

[ 66.015, 15.015, 97.515, 221.265, 199.51, 102.515, 1.265, 23.76]

finally just sum all the numbers of a column and divide with the amount of numbers in that column (remember that col1 has 10 numbers and col2 has 8 numbers). And you will get your variance for both pregnant and non-pregnant women:

for non-pregnant = 2684.89/10

non-pregnant = 268.4 (this is the variance and it is denoted by s²)

for standard deviation 's', just take the square root of the variance

$\sqrt{268.4}$ = 16.385.

similarly standard deviation of pregnant women can be found to be:

$\sqrt{90.859}$ = 9.532.

A. non-pregnant 'S' = 16.385

B. pregnant 'S' = 9.532

<h3>C. CLAIM:</h3>

you only have to show whether the variance of the above two columns are different or not.

And YES, the variances of the two column are indeed different, hence you make the CLAIM as written in question(C)

<h3>Multiple Choice:</h3>

here you need to show how different are the two values:

recall the variances:

Column1 = 268.4 (non-pregnant)

Column2 = 9.532 (pregnant)

now you know that the variance of non-pregnant is GREATER THAN the variance of pregnant

3 0

3 years ago

A recipe for cookies called for 2/3 of a cup of sugar per batch.Elena used 5 1/3 cups of sugar to make multiple batches of cooki

Nookie1986 [14]

Answer: 8 batches

explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.

5 0

3 years ago

Read 2 more answers

All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

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

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

The H.C.F. of 3150 and a number is 42. Which of the following can be the number?

Eduardwww [97]

$2^{2} *3^{2} *5=4*9*5=4*45=180\\2^{2} *3^{2} *5^{2} =4*9*25=36*25=900\\2^{2} *3*7=4*3*7=4*21=84\\2^{2} *3^{2} *7=4*9*7=36*7=252\\$

$raspunsul, e, B, 900$

5 0

3 years ago

Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom

Marysya12 [62]

The linear relationship is y = 20x, 0 ≤ x ≤ 17.5 and the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

<h3>The equations that represent the relationships</h3>

<u>The linear relationship</u>

When making the trip up, we have:

Rate = 20 feet per seconds

This means that the relationship is:

Distance = Rate * Time

So, we have:

y = 20x

The height of the tower is 350.

So, we have:

20x = 350

Divide by 20

x = 17.5

Hence, the linear relationship is y = 20x, 0 ≤ x ≤ 17.5

<u>The quadratic relationship</u>

The quadratic equation can be represented as:

y = -0.5ax² + vx + h

Where:

a = acceleration due to gravity = 32
v = velocity = 0
h = height = 288

So, we have:

y = -0.5 * 32x² + 0 * x + 288

Evaluate

y = -16x² + 288

When you get to the ground level, we have:

-16x² + 288 = 0

Subtract 288 from both sides

-16x² = -288

Divide by -16

x² = 18

Take the square root of both sides

x = ±3√2

Remove negative domain

x = 3√2

Hence, the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

Read more about linear and quadratic equations at:

brainly.com/question/72196

#SPJ1

5 0

2 years ago