I’m so lost how to answer what x and y equals to??

Mathematics

1 answer:

-Dominant- [34]2 years ago

4 0

Short answer: X=46°
Y=134°

So the line represents 180° since it is exactly half of 360°, the line is separated by two angles, an obtuse angle and an acute angle, we already know the value of the obtuse angle which is 134°, to find the degree of the acute angle we do:
180-134
180-134=46
The acute angle on the opposite side is 46°. Now the line intersecting the angles acts as a guide and if you look closely you can see that the angle on the second line is an inverted version of the first line. Seeing that you can now infer that Y=134° and X on the bottom line equals 46°. I hope this wasn’t too confusing since I tend to over explain myself.

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Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor

Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

$\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48$

Now compute the value of margin of error as follows:

$MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03$

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the value of sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066$

Thus, the sample size used to compute the 95% confidence interval is 1066.

4 0

2 years ago

Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza.He pays a total of $42.Which equation can be used t

ad-work [718]

Answer:

$3(x+2)=42$

Step-by-step explanation:

So lets go over what we know:

There are 3 large pizzas

Each pizza has a addition cost of 2 dollars

The total cost is 42 dollars

We need to find the cost per pizza.

Now lets piece together our equation.

We know that the pizzas equal 42 dollars so we can immediately put 42 on the opposite side of the equal side:

$=42$

We also know that each of the 3 pizzas cost 2 dollars. This would go on the left side of the equation:

$6=42$
Now, we know x is the amount of pizzas. There are 3 pizzas, or in other words, 3x. We can add this to the left side of the equation, because the 3 pizzas plus the 6 dollars equals the total of 42 dollars: