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3 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

Grace [21]3 years ago

8 0

Answer:

Step-by-step explanation:

this is an isosceles triangle

that means the 6cm = the other 6cm on the other side

the base angles are therefore equal

so base = z=z

base is 2z

angles in a triangle add up to 180 degrees

so 180=56+2z

180-56

2z=124

divide by 2 to get 62

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Yesterday, Linda had 71 baseball cards. Today, she gave d away. Using d, write an expression for the number of cards Linda has l

dezoksy [38]

Answer:

71-d

Step-by-step explanation:

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3 years ago

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A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S.

pav-90 [236]

Answer:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .

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)

$\sigma=2.25$ represent the population standard deviation

n represent the sample size

Solution to the problem

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =0.35 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

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3 years ago

Simplify - root (9+y)^2 if y <-10

nevsk [136]

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When y < − 10 , − y > 10

Subtract 9 from both sides,

− 9 − y > 1 Hence,

− √ ( 9 + y ) 2 > 1

6 0

3 years ago

A pattern follows the rule "Start at 3 and add 10."

drek231 [11]

Answer:

Step-by-step explanation:

process of eimination.

first, it cant be A because youre not adding 13

so theres your answer. :)

4 0

3 years ago

Which equation is graphed in the figure?

kenny6666 [7]

Answer: Option B.

Step-by-step explanation:

1. The equation of the line has the following form:

$y=mx+b$

Where m is the slope of the line and b is the y-intercept.

2. Therefore, you must solve for y to write the equation in that form:

$3y-4x=\frac{7}{2}x+\frac{3}{2}y+6\\\frac{3}{2}y=\frac{15}{2}x+6\\y=\frac{30}{6}y+4\\y=5x+4$

3. As you can see, the y-intercept is b=4, therefor, the equation of the option B is the equation graphed in the figure.

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3 years ago

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