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Assoli18 [71]
3 years ago
15

Suppose a pack of candy bars has 4 bars. Each bar weighs 5.88 ounces. How much does the pack weigh?

Mathematics
2 answers:
frutty [35]3 years ago
7 0
The answer is 23.52 the keyword is each so you multiply.
Fudgin [204]3 years ago
4 0
The answer is 23.52 ounces or 1.47 pounds
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Graph the line containing the point P and having slope m.<br><br> P=(1,8); m=0
Alekssandra [29.7K]
The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.

8 0
3 years ago
4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
3 years ago
Please help! I dont understand math at all! :o(
Brut [27]

Answer:

$393.75

$2,446.88

Step-by-step explanation:

Let's take this problem one step at a time. First let's compute for the total price after the sales tax has been added.

Sales tax = 8.75% or 0.0875

Original Price = $4,500

The sales tax is computed by multiplying the total to the sales tax rate.

4,500 x 0.0875 = $393.75

$393.75 is the total sales tax that Brenton will pay.

Now to find the total price with the sales tax included, we simply add the original price and the sales tax value together.

4,500 + 393.75 = $4,893.75

Now that we have the total overall price, we can then compute for how much the 50% down payment Brenton has made.

Down Payment = 50% or 0.5

Overall Price = $4,893.75

We simply multiply both the down payment and the overall price to find how much Brenton has paid.

4,893.75 x 0.5 = $2,446.88

Now that we know how much Brenton paid, we also now know how much Brenton financed by subtracting the overall price to his down payment.

4,893.75 - 2,446.88 = $2,446.88

Brenton finance a total amount of $2,446.88.

5 0
3 years ago
At 5:30 p.m., the temperature was recorded as 4 °F. At 10:00 p.m., the temperature had dropped 2 °. Which number line below best
prohojiy [21]

Answer:

the answer is A

Step-by-step explanation:

8 0
2 years ago
76°<br> x<br> 135°<br> 810<br> X =<br> X=<br> y=
enot [183]

Answer:

x = 68º

Step-by-step explanation:

This trapezoid is a quadrilateral.  All degrees in a quadrilateral have to add up to 360º.  

76º + 135º + 81º + xº = 360º

292º + xº = 360º

xº = 360º - 292º

xº = 68º

5 0
2 years ago
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