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2 years ago

PLEASE HELP I DONT UNDERSTAND!!

Mathematics

2 answers:

slega [8]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

3x and 144 are adjacent angles on a straight line and sum to 180°

3x + 144 = 180 ( subtract 144 from both sides )

3x = 36 ← value of 3x

divide both sides by 3

x = 12

and

2y - 5 and 95 are vertically opposite angles and are congruent, so

2y - 5 = 95 ← value of 2y - 5

add 5 to both sides

2y = 100 ( divide both sides by 2 )

y = 50

Then

x + y = 12 + 50 = 62

choli [55]2 years ago

4 0

Answer:

3x = 36; 2y - 5 = 95; x + y = 62

Step-by-step explanation:

Supplementary angles add up to 180

180 = 3x + 144

36 = 3x

x = 12

Vertically opposite angles are equal

95 = 2y - 5

100 = 2y

y = 50

x + y = 12 + 50 = 62

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You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You

Ber [7]

Answer:

Test statistic Z = -1.0

|Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

Step(i):-

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

$p = \frac{x}{n} = \frac{47}{382} = 0.1230$

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }$

Z = - 1.0

|Z| = |-1.0| < 1.96 at 0.05 level of significance.

Final answer:-

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

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3 years ago

Find the value of x in the triangle shown below. х 53° 2 97°

tino4ka555 [31]

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.

Using the angle sum property of triangle, we get

$x^\circ+53^\circ+97^\circ=180^\circ$

$x^\circ+150^\circ=180^\circ$

$x^\circ=180^\circ-150^\circ$

$x^\circ=30^\circ$

Therefore, the value of x is 30 degrees.

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3 years ago

On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco,

ad-work [718]

Answer:

2t+b=8

e+t+b=8.5

2e+2t=10

8 0

3 years ago

Can someone help me with this?

hodyreva [135]

Use inverse to solve this problem. Tan-1(5/27). =10.491 which rounded to the nearest degree equals 11.

8 0

3 years ago

Read 2 more answers

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.

BaLLatris [955]

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = $\frac{y_2-y_1}{x_2-x_1}$

A(3,-5) and B(6,k) are (x1,y1) and (x2,y2)

slope = $\frac{y_2-y_1}{x_2-x_1}$

slope = $\frac{k-(-5)}{6-3}=\frac{k+5)}{3}$

We know slope =4

$\frac{k+5)}{3}=4$

Cross multiply and solve for k

k + 5 = 12

k = 7

The value of k = 7

7 0

3 years ago