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3 years ago

What are the values of x, y, and z?

Mathematics

1 answer:

hoa [83]3 years ago

6 0

<h3>To find value of x</h3>

Formula applied:

Exterior angle=Sum of interior angles

Answer:

x=66⁰+45⁰

x=111⁰✔

<h3 />

<h3>To find value of z:</h3>

Formula applied:

Exterior angle=Sum of interior angles

Answer:

119⁰=43⁰+z⁰

119⁰-43⁰=z⁰

z⁰=76⁰✔

<h3>To find value of y:</h3>

∠1+66⁰=180⁰(L.P)

∠1=180⁰-66⁰

∠1=114⁰

Formula used:

Sum of angles of a triangle =180⁰

Answer:

∠ 1+30⁰+y⁰=180⁰

114⁰+30⁰+y⁰=180⁰

y⁰=180⁰-144⁰

y⁰=36⁰✔

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Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So

The approximate percentage of SAT scores that are less than 865 is 16%.

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2 years ago

A researcher at a school of nursing decides to investigate the correlation between a pre- admission HESI examination, high schoo

Nataly_w [17]

Answer: D. Predictive validity

Step-by-step explanation: Predictive validity can be explained as a method of determining the degree or level of correctness of a prediction using pre-existing information or data and values obtained from the actual measurement.

In the scenario above, the researchers investigates the correlation or relationship between the predicted value obtained using a pre- admission HESI examination, high school GPA, and SAT scores and the actual grade received upon completion of the first year. This process is to analyze or determine the validity of our prediction.

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3 years ago

In the equation y = kx, the slope of the line is represented by the constant

vovangra [49]

K is the constant of proportionality also the same as slope.
You can see the commonality in the equations
y = kx
y = mx + b
The difference is that is a direct proportion the line will always go through the origin so the b will be zero.
The answer is B.

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3 years ago

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svet-max [94.6K]

The answer to this question is b

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3 years ago

I will be marking brainliest please help me with these questions.

krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

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3 years ago

What are the values of​ x, y, and​ z?

What are the values of x, y, and z?