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3 years ago

Plz help for exam!!! Solve for x and y.

Mathematics

1 answer:

ad-work [718]3 years ago

6 0

Answer:

A x-198,y-99 $\sqrt{3}$

Step-by-step explanation:

since sin p/h you can say

perpendicular is 99

and hypotenuse is x

sin 30=99/x

x=198

and cos is b/h

base is y

and hypotenuse is x

cos 30=y/198

y-99 $\sqrt{3}$

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The table shows how an elevator 500 feet above the ground is descending at a steady rate. Which equation represents the height,

Gennadij [26K]

This is the concept of algebra, given that the elevator is 500ft above the ground and it is descending at a steady rate of 5ft/sec. Then height h, at time t of the elevator movement can be modeled by the equation:
h(t)=-5t+500.
The correct answer is h(t)=-5t+500

5 0

3 years ago

Given the following information about a hypothesis test of the difference between two means based on independent random samples,

HACTEHA [7]

Answer:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

Step-by-step explanation:

Data given:

$n_1 =13$ represent the sample size for group 1

$n_2 =10$ represent the sample size for group 2

$\bar X_1 =12$ represent the sample mean for the group 1

$\bar X_2 =9$ represent the sample mean for the group 2

$s_1=5$ represent the sample standard deviation for group 1

$s_2=3$ represent the sample standard deviation for group 2

We are assuming two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

And the statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

The pooled variance is given by:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

4 0

3 years ago

susan is driving to her cousin’s house. Susan drives 3 miles every minute. if her cousins house is 40 minutes away, how many mil

lisabon 2012 [21]

Answer:

it would be 125 miles.

Step-by-step explanation:

3 miles a minute for 40 minutes would be 40 x 3 which equals 120.

add the 5 miles going to the store would be 125.

I THINK I DID IT IM SO PROUD RN.

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3 years ago

Charnise uses 3 gal. red paint to 5 gal. white paint to make pink paint. She

professor190 [17]

The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:

1, 2, 4, 8, and 16

We notice that 8 can be factored out of 16 and becomes:

16 / 8 = 2

If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:

3 x 3 = 9

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So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.

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3 years ago

Find the value of x

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Here we have the length of the hypotenuse (16) and that of the vertical leg (11). The cosine function inputs this data:

adjacent side 11

sin x = ----------------------- = ---------------- = 0.6875

hypotenuse 16

We find x using the arccos function: arccos 0.6875 = 0.81 radians or

46.57 degrees

3 0

4 years ago