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Nadusha1986 [10]
3 years ago
15

What is the value of x? A. 4 B. 4 square root of 3 C. 8 D. 8 square root of 3

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0
X=Since you have an angle, a hypotenuse, and the opposite side, we can use:

sin(x)=opposite/hypotenuse
sin(60)=x/8 (cross multiply)
sin(60)*8=x
√3/2*8=x
x=8√3/2
x=4√3 so the answer is B

Hope this helps
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Mrs. Cervantes wants to paint her windmill. It has six sides, each of which is 3.5 feet wide by 11 feet tall. How many square fe
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7 0
2 years ago
A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.
nika2105 [10]

Answer:

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

\bar X=2.55 represent the sample mean for the late time for a flight

\mu population mean

\sigma=12 represent the population deviation

n=76 represent the sample size  

Confidence interval

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

The confidence interval for the true mean is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The Confidence level given is 0.95 or 95%, th significance would be \alpha=0.05 and \alpha/2 =0.025. If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got z_{\alpha/2}=1.96

Replacing we got:

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0
2 years ago
1/2(2g-3)=-4(g+1) show work
brilliants [131]
1g-1.5=-4g-4 (distribute 1/2 and -4 inside their respective parenthesis)
1g=-4g-2.5 (add 1.5 to -4)
5g=-2.5 (add 4g to 1g)
g=-0.5 (divide both sides by 5)
7 0
3 years ago
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