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Lorico [155]
2 years ago
7

if your parents shop in maryland the sales tax is 6% if they buy $180 worth of groceries what is there total

Mathematics
1 answer:
marin [14]2 years ago
7 0

You can do this problem in two ways.
Either the long way or the short and easy way.

Here is the easy way:

You do 180x1.06 to get you their total of $190.80


Or you can do the slightly longer way which finds you the tax amount which then you can add onto the total:

You do 180*0.06 which gets you $10.80 of tax. $10.80 is how much tax they have to pay on top of the $180, then we can do 180+10.80 to get us the grand total of $190.80.

Happy to help

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Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt
-Dominant- [34]

Using the t-distribution, it is found that since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is <u>tested if it does not outlast by more than 2 hours</u>, that is, the subtraction is not more than 2:

H_0: \mu_B - mu_A \leq 2

At the alternative hypothesis, it is <u>tested if it outlasts by more than 2 hours</u>, that is:

H_1: \mu_B - \mu_A > 2

  • The sample means are: \mu_A = 8.65, \mu_B = 11.23
  • The standard deviations for the samples are s_A = s_B = 0.67

Hence, the standard errors are:

s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934

The distribution of the difference has <u>mean and standard deviation</u> given by:

\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58

s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735

The test statistic is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 2 is the value tested at the hypothesis.

Hence:

t = \frac{\overline{x} - \mu}{s}

t = \frac{2.58 - 2}{0.2735}

t = 2.12

The critical value for a <u>right-tailed test</u>, as we are testing if the subtraction is greater than a value, with a <u>0.05 significance level</u> and 12 + 12 - 2 = <u>22 df</u> is given by t^{\ast} = 1.71

Since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0
3 years ago
Abigail and her mom are back-to-school shopping at new Navy . Select items are on sale at 43% off their regular price . What is
vaieri [72.5K]

Answer:

$12.54

Step-by-step explanation:

First, you have to apply the sale to the original price. In this case, you would have to multiply 22 and 43% to get $9.46. Now, you have to subtract 9.46 from 22 to get 12.54.

7 0
3 years ago
Is the number 749 rational?​
Stolb23 [73]
Yes. Because rational numbers can be written in a form of fraction and they are integers.
3 0
3 years ago
The direction of mixing an insect spray to use 2 7/8 ounces of chemical in each gallon of water. How many ounces of chemical sho
Gwar [14]
Need approx 3 oz chemical to 1 gal water.
Conversion factor is then approx.      3 oz
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                                                           1 gal

Mult this result by 6 gal.  This gives you 18 oz, approx.


Now let's look for a more exact solution:

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7 0
3 years ago
Qual a raiz da equação X²+5X-14=0 ?
ElenaW [278]

Answer:

e) Hence 2, -7 are roots of the equation X² + 5X - 14 = 0

Step-by-step explanation:

given equation : X² + 5X - 14 = 0

⇒ X² + 7X - 2X - 14 = 0

⇒ X·(X + 7) - 2·(X + 7) = 0

⇒ (X + 7)·(X - 2) = 0

⇒ X = -7, X = 2

<u>Hence 2, -7 are roots of the equation X² + 5X - 14 = 0</u>

8 0
3 years ago
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