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3 years ago

A fancy dinner for two cost $69.06 before a 7% tax

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

5 0

Answer:

73.89

Step-by-step explanation:

The information needed to solve this problem is the price, 69.06 and the tax, .07. Multiply 0.07, or 7% by 69.06 to get 4.8342. Add that to 69.06 to get 73.8942.

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The perimeter Of a rectangle is 30 inches if it’s Lance is three times it’s width find the dimensions.

Marat540 [252]

Answer:

Width: 3.75

Length: 11.25

7 0

2 years ago

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14. Write the equation in slope-intercept form that passes through the two points.

nordsb [41]

Answer: y=5x+7

Step-by-step explanation:

If you draw a graph or use a graphing calculator the points and then connect them you will see that the y-intercept is 7 and the slope is 5/1. Slope intercpt form is y=mx+b. So the equation is y=5x+7.

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3 years ago

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Consider the following system of equations:

Delicious77 [7]

Answer:

The system has infinitely solutions

Step-by-step explanation:

we have

$-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}$

$\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}$

Multiply by 3 both sides

$x^{2}+y^{2}=\frac{5}{2}$ ----> equation A

The equation A is a circle centered at origin with radius $r=\sqrt{5/2}\ units$

and

$5y^{2} =\frac{25}{2}-5x^{2}$

$5x^{2}+5y^{2} =\frac{25}{2}$

Divide by 5 both sides

$x^{2}+y^{2} =\frac{5}{2}$ ----> equation B

The equation B is a circle centered at origin with radius $r=\sqrt{5/2}\ units$

Equation A and Equation B are the same

Therefore

The system has infinitely solutions

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3 years ago

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which graph represents the solution set of the system of inequalities? (is my selected answer correct, if not please help!!)

algol [13]

Answer:

the graph on the right-top

Step-by-step explanation:

Transferring an "x" to the right side in $x+y\ge-3$ , we get $y\ge -x-3$

The system of inequalities is

$\left \{ {{y$

We have y=2x+2 - ascending function with a=2, b=2

b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.

y=-x-3 - descending function with a=-1, b=-3

y<2x+2 is an area below the ascending function and we see that on the left-

$y\ge-x-3$ is an area above the descending function

On the left-down we have an area above both functions, so we refuse this picture

Right-top is correct

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3 years ago

"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$