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3 years ago

Hello, i need to solve for x on this one

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

Answer:

x = 12.1532°

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse
Inverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 4

Hypotenuse = 19

Step 2: Solve for x

Substitute in variables [sine]: sinx = 4/19
Inverse trig: x = sin⁻¹(4/19)
Evaluate: x = 12.1532°

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jenyasd209 [6]

Answer:

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

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3 years ago

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Parallelogram WXYZ. WX = 13x + 15 YZ = 19x - 9 Find the values of x and y.

sweet-ann [11.9K]

Answer:

Step-by-step

sum of the adjacent angles of parallelogram is supplementary.

Therefore,

Q + R = 180°

4y+7 + 10y-37 = 180°

14y - 30° = 180°

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Could not found X in the question.

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3 years ago

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A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. State the h

Soloha48 [4]

Answer:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

Step-by-step explanation:

Data given and notation

$\bar X=67$ represent the sample mean

$s=12$ represent the population standard deviation for the sample

$n=16$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 60, the system of hypothesis would be:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

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3 years ago

Mrs. Driggers went to Target to purchase the new movie Frozen for her girls. The original price was $20, but

Daniel [21]

Answer:

$18

Step-by-step explanation:

It is 10% off so you are paying 90% of $20.

20*0.9=18