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2 years ago

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Mathematics

1 answer:

lianna [129]2 years ago

8 0

Answer:

13 1/3 cups of sugar

Step-by-step explanation:

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What is the formula for the area of a triangle?

Semmy [17]

Answer: c. (1/2) bc sin A

<u>Step-by-step explanation:</u>

You can find the area of a triangle using trigonometry if you know the lengths of two sides and the measure of the included angle using the following formula:

$A=\dfrac{1}{2}ab\sin C$

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Use the square root property of equality to solve (x – 3)2 = –4. The solutions are a. -1 or 7 b. 1 or 5 c. 3+- 2i d. 3+-4i

makkiz [27]

The answer is C. 3+-2i

(x-3) $(x-3)^{2} = -4

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2 years ago

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Mrrafil [7]

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3 years ago

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Temka [501]

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2 years ago

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In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

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3 years ago