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2 years ago

Use the equation below to find a, if b = 10 and c= 8. a=32-b-c

Mathematics

1 answer:

Mars2501 [29]2 years ago

5 0

Answer:

a=14

Step-by-step explanation:

a= 32- (10) - (8)

a= 32-10-8

a=14

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Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are

Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

$h=\sqrt{x^2+y^2}$

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

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3 years ago

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Answer: T (The first option).

Step-by-step explanation:

1. By definition, coplanar points are three or more points that are in the same plane.

2. Based on this information, as you can see in the figure attached, the points A, C, D, E, S and U are coplanars because they are in the same plane, which is: ACDE.

3. Therefore, you can conclude that the point T is not coplanar with points A, C and D because this is not in the plane ACDE.

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2 years ago

The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

Alona [7]

Answer:

95% Confidence interval for the variance:

$3.6511\leq \sigma^2\leq 34.5972$

95% Confidence interval for the standard deviation:

$1.9108\leq \sigma \leq 5.8819$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

$s^2=2.89^2=8.3521$

The confidence interval for the variance is:

$\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}$

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

$\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128$

Then, the confidence interval can be calculated as:

$\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972$

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

$\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819$

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3 years ago

What is y=-3/4+2 in standard form

Elenna [48]

Right answer is
Y=5/4

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2 years ago

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tino4ka555 [31]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Use the equation below to find a, if b = 10 and c= 8. a=32-b-c​

Use the equation below to find a, if b = 10 and c= 8. a=32-b-c