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2 years ago

I need to know the answer

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

5 0

Answer:

y=3.65

X=11.85

Step-by-step explanation:

sin(60)=y/12

sin(60)×12=y

y=3.65

sin(30)=X/12

sin(30)×12=X

X=11.85

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Which of the following statements can be determined from the diagram?

torisob [31]

My sister knows that I’ll go get her

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2 years ago

A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how

gayaneshka [121]

Answer: 0.0125

Step-by-step explanation:

Given : A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how they would "rate the job the higher education system is doing in providing value for the money.

5% the U.S. adults and 17% of the college presidents provided a rating of "Excellent."

i.e. $n_1=2142,\ n_2=1055$

$p_1=0.05$ , $p_2=0.17$

The standard error of the difference in sample proportions :-

$\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

$=\sqrt{\dfrac{0.05(1-0.05)}{2142}+\dfrac{0.17(1-0.17)}{1055}}\\\\=0.0124867775151\approx0.0125$

Hence, the standard error of the difference in sample proportion = 0.0125

5 0

2 years ago

Pedro compró un minigimnasio para ejercitarse

Contact [7]

Answer:

Pedro pagó $448

Step-by-step explanation:

Sea P el precio inicial de un objeto.

Si aplicamos un descuento del X%, entonces el nuevo precio del objeto es:

NP = P*(1 - X%/100%)

y lo que estamos ahorrando es:

P - NP

En este caso, primero tenemos un descuento del 30%, entonces:

NP = P*(1 - 30%/100%) = P*(1 - 0.3)

Luego tenemos otro descuento, esta vez del 20%, entonces:

NP' = NP*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 0.2)

Lo que Pedro ahorra es igual a $352

entonces:

P - NP' = $352

P - P*(1 - 0.3)*(1 - 0.2) = $352

P*(1 - (1 - 0.3)*(1 - 0.2)) = $352

P*(1 - 0.56) = $352

P = $352/(1 - 0.56) = $800

Esto significa que el precio original era $800.

Y lo que pedro pago esta dado por la ecuación:

NP' = P*(1 - 0.2)*(1 - 0.3) = $800*(1 - 0.2)*(1 - 0.3) = $448.

8 0

2 years ago

3x-195>=5(x-21)<br><br>Explanation<br><br>Awnser

Anvisha [2.4K]

3x-195>=5x-21
Add 21 to both sides
3x-174>5x
Sub 3x from both sides
-174>2x
Divide both sides by 2
-87>x

6 0

2 years ago

he lifespan of the Ebola virus on flat dry surfaces has a normal distribution with μ = 643.6 minutes and σ = 77.7 minutes. You m

Vedmedyk [2.9K]

Answer:

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem

The mean of the population is 643.6 minutes.

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

5 0

2 years ago