Help pls thank you very much I picked one but I have no idea which one

What is the measure of the missing angle? 115° 35° 75° 40°

lions [1.4K]

Answer:
115

Explanation:
Angles in a triangle sum to 180
Add the two angles given and subtract it from the total sum of angles to find the missing interior angle -
75 + 40 = 115
180 - 115 = 65
Now that we have the interior angle, we can work out the exterior angle by subtracting it from 180
180 - 65 = 115

8 0

2 years ago

Read 2 more answers

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Consider the

Dafna1 [17]

Answer:

a) $\bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2$

$s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311$

b) The 90% confidence interval would be given by (63.330;81.070)

$63.330 < \mu_{left}- \mu_{right}$

Step-by-step explanation:

1) Previous concepts and notation

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let put some notation

x=left arm , y = right arm

x: 175 169 182 146 144

y: 102 101 94 79 79

The first step is define the difference $d_i=x_i-y_i$ , that is given so we have:

d: 73, 68, 88, 67, 65

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311$

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar d \pm t_{\alpha/2}\frac{s_d}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that $t_{\alpha/2}=2.13$

Now we have everything in order to replace into formula (1):

$72.2-2.13\frac{9.311}{\sqrt{5}}=63.330$

$72.2+2.13\frac{9.311}{\sqrt{5}}=81.070$

So on this case the 90% confidence interval would be given by (63.330;81.070)

$63.330 < \mu_{left}- \mu_{right}$

3 0

2 years ago

Find x. Question 1 options: 6 3 9 12

Eduardwww [97]

Answer:18

Step-by-step explanation:

3 0

2 years ago

Can someone help me with these questions For the first 4 I need to write the word sentence as an equation

tangare [24]

1. 3y=27
2. x-4=3
3. p+8=17
4. 1/2q=14

3 0

2 years ago

Please Help me ASAP read the problem below

SashulF [63]

PART 1: Find the surface area of each section.

The formula for finding the area of a triangle is A = 1/2(b)(h); where b = base length and h = height. And the formula for finding the area of a rectangle is A = (l)(w); where l = length and w = width.

I'll start with the gold triangles, which are both the same size so I only need to calculate once.

A = 1/2(b)(h)

A = 1/2(7)(8.6)

A = 1/2(60.2)

A = 30.1 cm²

Now, I'll find the area of the blue triangles.

A = 1/2(b)(h)

A = 1/2(12)(7)

A = 1/2(84)

A = 42 cm²

Now, I'll find the area of the rectangular base.

A = (l)(w)

A = (12)(7)

A = 84 cm²

PART 2: Find the amount of foil in each color needed to cover 1 ornament.

There are two gold triangles, so all we have to do is multiply the area of the gold triangle by 2.

(30.1)(2) = 60.2 cm²

There are two blue triangles, so all we have to do it multiply the area of the blue triangle by 2.

(42)(2) = 84 cm²

And Olga will need 84 cm² of black foil to cover the rectangular base.

PART 3: Find the total amount of foil needed to cover 1 ornament and then 100 ornaments.

To find the total amount of foil needed, just add the amounts found in the previous step.

60.2 + 84 + 84 = 228.2 cm²

Olga will need 228.2 cm² of foil to cover 1 ornament.

(228.2)(100) = 22820 cm²

Olga will need 22, 820 cm² of foil to cover 100 ornaments.

PART 4: Fill in the blanks to give your answer.

Surface area of black face(s) = 84 cm²

Surface area of blue face(s) = 84 cm²

Surface area of gold face(s) = 60.2 cm²

Total surface area of 1 ornament = 228.2 cm²

Total surface area of 100 ornaments = 22, 820 cm²

Hope this helps!

3 0

3 years ago