What is (20-(-16))=20+16=36

The actual volumes of soda in quart-sized bottles can be described by a Normal model with a mean of 32.3 fluid ounces and a stan

VLD [36.1K]

Answer:The percentage of bottles expected to have a volume less than 32 or is 40.13%

Step-by-step explanation: The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz

b=1.2 oz

Let S be the volume of randomly selected soda bottles

Y-score: S-a/b

For S=32 oz

Substitute the values of S,a and b into the equation

Y=32-32.3/1.2

Y=-0.25

Probability of bottles that have a volume less than 32 oz is

P(S<32)=P(Y<-025)= 0.40129

Percentage of bottles that have volume less than 32 oz will be

0.40127×100%=40.13%

5 0

2 years ago

WILL GIVE BRAINLIEST!!!

LUCKY_DIMON [66]

Answer:

A = 119 units²

Step-by-step explanation:

side of square is (12√2)sin45 = 12

The portion of the diagonal that is NOT octagon is

12√2 - 12

There are four corner triangles. The sum of their areas is

(12√2 - 12)²

Area of the octagon is area of the square minus four corner triangle areas.

A = 12² - (12√2 - 12)²

A = 119.2935...

4 0

3 years ago

Determine whether the equation 5(1+2m)=1/2(8+20m) has one solution, no solution, or infinitely many solutions.

hichkok12 [17]

1. Use the distributive property:

$5\cdot (1+2m)=5\cdot 1+5\cdot 2m=5+10m,$

$\dfrac{1}{2}\cdot (8+20m)=\dfrac{1}{2}\cdot 8+\dfrac{1}{2}\cdot 20m=4+10m.$

Then

$5+10m=4+10m.$

2. Separate terms with m in left side and without m in right side:

$10m-10m=4-5,\\ \\0=-1.$

This expression is false for all values of x, then the equation doesn't have solutions.

Answer: no solution

3 0

2 years ago

Read 2 more answers

Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ric

yaroslaw [1]

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

$\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998$

Tammy makes 51% of her putts, and attempts 30 putts.

By the Central Limit Theorem, we have that:

$\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913$

What is the probability that Ricardo makes a higher proportion of putts than Tammy?

This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:

$\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04$

$s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353$

This probability is 1 subtracted by the pvalue of Z when X = 0. So

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

By the Central Limit Theorem

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

$Z = \frac{0 - (-0.04)}{0.1353}$

$Z = 0.3$

$Z = 0.3$ has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

6 0

2 years ago

Read 2 more answers

I don't know how to solve this. Anything will help!

tigry1 [53]

Hello :) to solve this you would have to do invert sin (51/55) on your calculator. When you do that you will get 68.013 so I would round that and say that the angle is 68 degrees

4 0

2 years ago