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Strike441 [17]
3 years ago
8

Virginia drew the figure at the right on the board. The steps below are used to solve for the unknown angle, x, in the figure bu

t are not arranged in the correct order.
1·) x= 15

2.) 75 + 15= 90

3,) 75+x= 90

4,) 75-75 + x = 90-75

Which sequence shows the correct order of the steps Virginia should follow to find the measure of the unknown


A 1234

B 3412

C 4213

D 2314

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

Option B 3412

Step-by-step explanation:

we know that

step 1

75°+x=90° -----> by complementary angles

step 2

Solve for x

Subtract 75 both sides

75°-75°+x=90°-75°

step 3

x=15°

step 4

Verify

Substitute the value of x in the equation of the step 1

75°+15°=90°

90°=90° ----> is correct

therefore

The correct order is

3-4-1-2

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The width of a rectangle is 3 less than twice its length. if the area of the rectangle is 193 cm 2 cm2, what is the length of th
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W=2L-3
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3 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

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We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

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Read 2 more answers
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Anuta_ua [19.1K]

Answer:

v=3i+8j

Step-by-step explanation:

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As a linear combination of the standard unit vectors.

v=3i+8j

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