All categories

2 years ago

Show work what is the measures

Mathematics

1 answer:

noname [10]2 years ago

4 0

Set it up 180=(7x+10)+ z because angle b is on the flat line and then solve for x (180-10, then 170/7) and you’ll get the value of x and from there you can put it in all

You might be interested in

Calculate the circumference and area of this circle. 4cm radius

Alja [10]

Answer:

the circumference is 25.133 and the area is 50.265

5 0

2 years ago

Read 2 more answers

The article "Students Increasingly Turn to Credit Cards" (San Luis Obispo Tribune, July 21, 2006) reported that 37% of college f

Sloan [31]

Answer:

Step-by-step explanation:

Hello!

There are two variables of interest:

X₁: number of college freshmen that carry a credit card balance.

n₁= 1000

p'₁= 0.37

X₂: number of college seniors that carry a credit card balance.

n₂= 1000

p'₂= 0.48

a. You need to construct a 90% CI for the proportion of freshmen who carry a credit card balance.

The formula for the interval is:

p'₁± $Z_{1-\alpha /2}*\sqrt{\frac{p'_1(1-p'_1)}{n_1} }$

$Z_{1-\alpha /2}= Z_{0.95}= 1.648$

0.37±1.648* $\sqrt{\frac{0.37*0.63}{1000} }$

0.37±1.648*0.015

[0.35;0.39]

With a confidence level of 90%, you'd expect that the interval [0.35;0.39] contains the proportion of college freshmen students that carry a credit card balance.

b. In this item, you have to estimate the proportion of senior students that carry a credit card balance. Since we work with the standard normal approximation and the same confidence level, the Z value is the same: 1.648

The formula for this interval is

p'₂± $Z_{1-\alpha /2}*\sqrt{\frac{p'_2(1-p'_2)}{n_2} }$

0.48±1.648* $\sqrt{\frac{0.48*0.52}{1000} }$

0.48±1.648*0.016

[0.45;0.51]

With a confidence level of 90%, you'd expect that the interval [0.45;0.51] contains the proportion of college seniors that carry a credit card balance.

c. The difference between the width two 90% confidence intervals is given by the standard deviation of each sample.

Freshmen: $\sqrt{\frac{p'_1(1-p'_1)}{n_1} } = \sqrt{\frac{0.37*0.63}{1000} } = 0.01527 = 0.015$

Seniors: $\sqrt{\frac{p'_2(1-p'_2)}{n_2} } = \sqrt{\frac{0.48*0.52}{1000} }= 0.01579 = 0.016$

The interval corresponding to the senior students has a greater standard deviation than the interval corresponding to the freshmen students, that is why the amplitude of its interval is greater.

8 0

3 years ago

During a long drive, Tony counted the number of pickups and sedans he saw driving in the opposite direction. After a while, he n

snow_lady [41]

At this ratio, he would have counted 45 sedans if he had passed 18 pickups. The ratio between the pickups and the sedan is two by five, therefore he already has faced 9 times of this situation if he had already seen 18 pickups passed over. The number of sedans counted by him can be obtained by multiplying the sedans number of the ratio which is 5 with the number of the situation that had passed which is 9.

4 0

3 years ago

A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way

BaLLatris [955]

Because this is a two-way table, the answer would be that 166 people were polled in total. Why? Well, there are lots of corresponding patterns leading up to this answer. We can easily find the answer by looking at the problem two different ways:

1st way: Identifying the missing solution by rows.

27 + 21 = 48 and 42 + 76 = 118, so we can find the missing value by adding 69 and 97 to get 166.

2nd way: Identifying the missing solution by columns.

27 + 42 = 69 and 21 + 76 = 97, so we can find the missing value by adding 48 and 118 to get 166, our missing solution.

Your final answer: 166 people were polled. Your answer would be D. If you need to better understand this, let me know and I will gladly assist you.

4 0

1 year ago

Read 2 more answers

Help what polynomials are there??

N76 [4]

Answer:

All of them are polynomials except c.

Step-by-step explanation:

Polynomials are in the form:

$a_0+a_1x+a_2x^2+a_3x^3+a_4x^4+a_5x^5+a_6x^6+\cdots +a_nx^n$

You can see here there are no extra symbols like square root, cube root, absolute value, and so on on the variable x...

We also don't have division by a variable. All the exponents are whole numbers.

a) While it has a square root, it is not on a variable so a is a polynomial. The exponents on the variables are whole numbers.

b) b is a polynomial also because all the exponents are whole numbers.

c) This is not a polynomial because there is a square root on a variable.

d) This is a polynomial. All the exponents are whole numbers.

8 0

3 years ago