Find the values of x and y.

X=?
Y=?
Witcheria avatar

Answers

Answer 1
Answer:

Answer:

x=85

y=65

Step-by-step explanation:

Right angle equals 90

then 180-90-20=70

Opposite angle =70

so 70+25+x=180

x=180-70-25=85

when u know x ,then 180-85=95

y=360-90-110-95=65


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Step-by-step explanation:

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In Exercise 5.21, we learned that a Rasmussen Reports survey of 1,000 USadults found that 42% believe raising the minimum wage will help the economy. Construct a 99% confidence interval for the true proportion of US adults who believe this.

Answers

Can you show a pic of the question

Final answer:

The 99% confidence interval for the proportion of US adults believing that raising the minimum wage will help the economy, based on a survey, is approximately (0.386, 0.454).

Explanation:

To compute the 99% confidence interval for the parameter of interest - the true proportion of adults believing that raising the minimum wage will help the economy - we use the formula for the confidence interval for a proportion: p ± Z*(sqrt((p(1 - p))/n)). Here p is the sample proportion, n is the sample size and Z* is the Z score corresponding to the desired confidence level, in this case 99%.

The given sample proportion (p) is 0.42 and the sample size (n) is 1000. The Z score for a 99% confidence interval is approximately 2.58.

Substituting these values into the confidence interval formula yields: 0.42 ± 2.58 * sqrt((0.42(1 - 0.42))/1000). After computation, we obtain the 99% confidence interval as (0.386, 0.454).  

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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

Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion​

Answers

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion​.

We have to determine, Based on information from the periodic table what does this image represent?

What is the periodic table?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

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Answer:

D. A positively charged beryllium ion

What is 6 minutes 30 seconds converted to minutes?

Answers

Answer:

6.5 minutes

Step-by-step explanation:

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