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Elenna [48]
3 years ago
13

Pleaseee help help

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

The angle the golfer went off line from the tee when they  drove the ball

is \phi=28.2 \textdegree because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee d_h=340yards

Distance to the right d_r=230yards

Ball distance from hole d_b=175 yard

Given that the three points form a triangle x,y,z respectively

Where

d_h=xz

d_r=xy

d_b=yz

Using Cosine Rule

yz^2=xy^2+xz^2-2(xy)(xz)cos\phi

Therefore

cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}

cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}

cos\phi=0.88

\phi=28.2 \textdegree

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

\phi=28.2 \textdegree

For more information on this visit

brainly.com/question/21856223

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Alona [7]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
Arturiano [62]

Answer:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

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

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791

So the answer for this case would be n=791 rounded up to the nearest integer

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3 years ago
How do you verify factoring is correct?
Ivahew [28]
Multiply the factors together. You should get the original expression.

For example, if we are to factor
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we would factor as
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Check this by multiplying back in
2x*x + 2x*2 = 2x^2 + 4x
which is what we started with, so we know we are correct.
5 0
3 years ago
rashaads car used 2/3 of a gallon to travel 14 1/2 miles .How many miles can the car go on one gallon of gas
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Answer:

21.75 or 21 \frac{3}{4}

Step-by-step explanation:

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