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ki77a [65]
3 years ago
5

What is 3 fourths times one half

Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer: 0.375

Step-by-step explanation:

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Factor: 4x2 + 4x<br>Expand: -(x – 3)​
GarryVolchara [31]
<h2>Question: Factor: 4x2 + 4x</h2>

Find the GCF.

gcf = 4x

Factor out the GCF.

4x( \frac{4 {x}^{2} }{4x}  +  \frac{ {4x} }{4x} )

Simplify each term in parentheses.

4x(x + 1)

Hence, the answer is 4x(x + 1).

<h2 /><h2>Question: Expand: -(x - 3) </h2>

Remove parentheses.

- x  + 3

Regroup terms.

3 - x

Therefor, the answer is 3 - x.

6 0
3 years ago
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day
WINSTONCH [101]

Answer:

0.7931 = 79.31% probability that a truck drives between 43 and 141 miles in a day.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 100, \sigma = 38

Find the probability that a truck drives between 43 and 141 miles in a day.

This is the pvalue of Z when X = 141 subtracted by the pvalue of Z when X = 43. So

X = 141

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

Z = \frac{141 - 100}{38}

Z = 1.08

Z = 1.08 has a pvalue of 0.8599

X = 43

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

Z = \frac{43 - 100}{38}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.8599 - 0.0668 = 0.7931

0.7931 = 79.31% probability that a truck drives between 43 and 141 miles in a day.

3 0
4 years ago
There are 85 party favors. Each bag can hold 7 party favors. How many full bags are there? How many party favors are left over?
Mama L [17]

Answer:

12 full bags with one favor left over

Step-by-step explanation:

85/7 = 12.14285714, so 12 bags will be full

7*12=84

85-84=1, so one favor left over

8 0
4 years ago
12. Fill in the blanks with the correct numbers (choose the answer with the correct number set): While Jackie Robinson played fo
Anuta_ua [19.1K]
12. Fill in the blanks with the correct numbers (choose the answer with the correct number set): While Jackie Robinson played for the Brooklyn Dodgers the team reached the World Series ______ times and won the World Series ____ time. *
5 points
1, 6
6, 1
5, 2
8,1
6 0
3 years ago
WILL PAY 40 POINTS AND BRAINLIEST!!!!
Elan Coil [88]

Answer:

Part A)

The slope is 3.

Part B)

\displaystyle y-1=3(x+3)

Part C)

\displaystyle y=3x+10

Step-by-step explanation:

We know that the line goes through the points (-3, 1) and (-2, 4).

Part A)

To find the slope of a line given two points, we can use the slope formula:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:

\displaystyle m=\frac{4-1}{-2-(-3)}

Evaluate:

\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3

Hence, the slope of our line is 3.

Part B)

Point-slope form is given by:

\displaystyle y-y_1=m(x-x_1)

Where m is our slope and (x₁, y₁) is a point.

So, let’s substitute 3 for m.

For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:

\displaystyle y-1=3(x-(-3))

Simplify. Hence, our point-slope form is:

\displaystyle y-1=3(x+3)

Part C)

To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:

\displaystyle y-1=3(x+3)

Distribute on the right:

\displaystyle y-1=3x+9

Add 1 to boths sides. So, our slope-intercept equation is:

\displaystyle y=3x+10

5 0
3 years ago
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