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2 years ago

The question is in the picture

Mathematics

2 answers:

Goshia [24]2 years ago

5 0

Answer:

angle 3 is 100 and 4 is 80

Step-by-step explanation:

KATRIN_1 [288]2 years ago

4 0

Angle 3 would be equivalent to angle 5 which is 100 since they are alternate interior angles. Angle 4 would be the supplement of angle 5 which is 80 because they are same side interior angles

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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

$-1.475 = \frac{15.5 - \mu}{\sigma}$

$15.5 - \mu = -1.475\sigma$

$\mu = 15.5 + 1.475\sigma$

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

$1.28 = \frac{16.3 - \mu}{\sigma}$

$16.3 - \mu = 1.28\sigma$

$\mu = 16.3 – 1.28\sigma$

From above

$\mu = 15.5 + 1.475\sigma$

$15.5 + 1.475\sigma = 16.3 – 1.28\sigma$

$2.755\sigma = 0.8$

$\sigma = \frac{0.8}{2.755}$

$\sigma = 0.29$

The mean is

$\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93$

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0

2 years ago

Can someone help me understand this?

ASHA 777 [7]

< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.

4 0

3 years ago

Read 2 more answers

Which equation results from isolating a radical term and squaring both sides of the equation for the equation sqrt(x+6)+sqrt(x)=

tiny-mole [99]

(sqrt(x+6))^2 + (sqrt(x))^2 = 8^2
x+6 + x = 64

6 0

2 years ago

Parallel lines cut by transversal?..help?

vagabundo [1.1K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve the system of equations. -4x+7y = 20 & y=3x+15

andreyandreev [35.5K]

Substitute y = 3x + 15 to the equation -4x + 7y = 20:

-4x + 7(3x + 15) = 20 <em>use distributive property</em>

-4x + (7)(3x) + (7)(15) = 20

-4x + 21x + 105 = 20 <em>subtract 105 from both sides</em>

17x = -85 <em>divide both sides by 17</em>

x = -5

Substitute the value of x to the equation y = 3x + 15:

y = 3(-5) + 15

y = -15 + 15

y = 0

<h3>Answer: x = -5 and y = 0</h3>

7 0

3 years ago

The question is in the picture​

The question is in the picture