Can some one help me with this I need help with it it's due tomorrow so plz help me

Trigonometry question! find y. round to the nearest tenth!

tresset_1 [31]

Answer:

Step-by-step explanation:

Look at the picture.

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have a measure of the angle and length of the hypotenuse:

$\alpha=29^o,\ hypotenuse=500\ ft$

$\sin29^o\approx0.48481$

Substitute:

$\dfrac{y}{500}=0.48481$ <em>multiply both sides by 500</em>

$y=242.405\to y\approx242.4$

7 0

3 years ago

Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

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

b) Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

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, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0

4 years ago

If 3/2 divided by 1/4 =n, then n is between

Mamont248 [21]

3/2 / 1/4 = 3/2 * 4/1
3*4= 12
2*1= 1
n= 12/1 or 12

Hope this helps!

6 0

3 years ago

Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 o

Misha Larkins [42]

Since Lori passes 80% of her tests you need to make sure that the randomizing device has 80% of the outcomes<span> assigned to passing and 20% of the </span>outcomes<span> assigned to failing. The correct answer is </span><span>Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.</span>

4 0

3 years ago

Read 2 more answers

Identify the coordinates of triangle ABC when it is dilated by a scale factor of 2 from the origin (0,0).

S_A_V [24]

Answer:

$A' = (-4,4)$