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3 years ago

What is the correct answer for both?

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

19) D (-8, -2)

20) B (0, 8)

Step-by-step explanation:

-x - y = 10

-6x + 11y = 26

-x - y = 10

-x = 10 + y

x = -10 - y

-6x + 11y = 26

-6(-10 - y) + 11y = 26

60 + 6y + 11y = 26

60 + 17y = 26

17y = -34

y = -2

-x - y = 10

-x - (-2) = 10

-x + 2 = 10

-x = 8

x = -8

_______________

-x + y = 8

3x + 2y = 16

-x + y = 8

y = 8 + x

3x + 2y = 16

3x + 2(8 + x) = 16

3x + 16 + 2x = 16

5x + 16 = 16

5x = 0

x = 0

-x + y = 8

-0 + y = 8

y = 8

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4 years ago

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Answer:

D. x²/1953² + y²/ 1466² = 1

Step-by-step explanation:

==>Given:

Radius of spherical moon = 1000km

Distance of satellite from moon surface = 953km to 466km

==>Required:

Derived equation of ellipse

==>Solution:

The formula for driving an equation of ellipse is given as:

x²/a² + y²/b² = 1

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a = length of the semi-major axis, while,

b = length of the semi-major axis

Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:

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3 years ago

What is the height of the building? (show your work) GIVING BRAINLIEST!

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Answer:

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3 years ago

In a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per

alexdok [17]

Answer:

The test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard is 3.234.

Step-by-step explanation:

We are given that in a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed.

In an independent random sample of 90 cars driven at high altitudes, 24 of them exceeded the standard.

Let $p_1$ = population proportion of cars driven at high altitudes who exceeded a standard of 10 grams.

$p_2$ = population proportion of cars driven at low altitudes who exceeded a standard of 10 grams.

So, Null Hypothesis, $H_0$ : $p_1\leq p_2$ {means that the proportion of high-altitude vehicles exceeding the standard is smaller than or equal to the proportion of low-altitude vehicles exceeding the standard}

Alternate Hypothesis, $H_A$ : $p_1>p_2$ {means that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard}

The test statistics that will be used here is Two-sample z-test statistics for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of cars driven at high altitudes who exceeded a standard of 10 grams = $\frac{24}{90}$ = 0.27

$\hat p_2$ = sample proportion of cars driven at low altitudes who exceeded a standard of 10 grams = $\frac{42}{380}$ = 0.11

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$n_2$ = sample of cars driven at low altitudes = 380

So, the test statistics = $\frac{(0.27-0.11)-(0)}{\sqrt{\frac{0.27(1-0.27)}{90}+\frac{0.11(1-0.11)}{380} } }$

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The value of z-test statistics is 3.234.

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3 years ago

What is the correct answer for both? ​

What is the correct answer for both?