Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80

Belinda bought a car for 10% off the $21,957.68 sticker price. The sales tax was 6.5% of the sale price. She had to pay a $528.0

babymother [125]

Answer:

$21,574.43

Step-by-step explanation:

To start off, we need to take 10% off of the starting price of $21,957.68. We can do that by multiplying that number by 0.10. The work is shown below...

(21,957.68) x (0.10) = 2,195.77

Now we can take the number 2,195.77 and subtract that from our starting price.

21,957.68 - 2,195.77 = 19,761.91 (this is our price after the 10% sale)

Next, we need to add on the sales tax. We simply multiply 19,761.91 by the decimal version of 6.5% which is 0.065.

(19,761.91) x (0.065) = 1,284.52

Now we add that number to 19,761.91

19,761.91 + 1,284.52 = 21,046.43

Since we have our current cost after sales tax, we now just need to add the $528 license fee...

21,046.43 + 528 = $21,574.43

5 0

3 years ago

Write the slope and y intercept of each equation:

vichka [17]

Answer:

A) slope = 2, y-intercept = -6

B) slope = -4, y-intercept = 6

Step-by-step explanation:

A) y = 2x - 6

The equation for a line is y = mx + b, where m represents the slope, and b represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.

Here, the m is 2, so the slope is 2

The b is -6, so the y-intercept is -6

B) y = -4x + 6

Here, the m is -4, so the slope is -4

The b is 6, so the slope is 6

You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.

7 0

3 years ago

I need some help!! I wil try to give brainliest!!!

Dominik [7]

C Bill drove at a rate that was 10 mph faster than the rate Kevin drove

8 0

3 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is

anastassius [24]

Answer:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

$p_v =2*P(t_{(60)}>1.202)=0.234$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=424$ represent the sample mean

$s=26$ represent the sample standard deviation

$n=61$ sample size

$\mu_o =420$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 420 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 420$

Alternative hypothesis: $\mu \neq 420$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=61-1=60$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(60)}>1.202)=0.234$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

4 0

3 years ago

Please help. Thank you. :)

adelina 88 [10]

Hello!

To find the lateral area you use the equation

$\pi r \sqrt{ h^{2} + r^{2} }$

You put in the values you know and you get 829.4

To find the surface area you use the equation

$\pi r(r+ \sqrt{ h^{2} + r^{2} }$

Put in the values you know and you get 1209.5

The answer is A

Hope this helps!

5 0

3 years ago