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2 years ago

What is the value of x? 70° 35° 30

Mathematics

2 answers:

alex41 [277]2 years ago

8 0

Answer:

75 degrees

Step-by-step explanation:

all added up is 180 on every triangle. 70+35=105. 180-105=75

Lapatulllka [165]2 years ago

3 0

B. 75°

Because All triangles add up to 180°. Therefore, 70°+35°=105°. From there, 180°-105°=75°.

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a fruit salad contains 20 different pieces of fruit. there are 3 pieces of apple, 8 pieces of watermelon, 7 pieces of banana, an

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2 years ago

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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 =

$=n-1 = 16-1=15$

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.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago