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zzz [600]
3 years ago
11

You watch a football game. The team you cheer for loses 88 yards on four plays in a row. Which expression shows the total loss i

n yards?
a) -4 x -8
b) 4 x 8
c) -8 x 4
d) 8 + 4
Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

C. -8 * 4

Step-by-step explanation:

We are given the situation that your team loses 8 yards on four plays in a row. And you are being asked which expression shows the total loss in yards, our key word in this question is "loss" . Meaning that the result has to come out negative.

Therefore , A. is incorrect because -4 * -8 is 36 . Which is positive.

B. is incorrect because it is positive outcome

And D. is incorrect because one it is not the correct property to use and also is very inaccurate in the answer. Also, it is a positive outcome.

Leaving you with C.

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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
3 years ago
If you have 10 apples what where is the 9th one?
FromTheMoon [43]
To Your First Nine Friends, You Give Them 1 Apple Each. Your Tenth Friend, You Give Her The Basket With The Tenth Apple. She Has The Apple, And The Basket?
5 0
3 years ago
Em 1 Graph the system of equations. { x−y=6 ,4x+y=4
muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. x-y=6 ,4x+y=4

First we will find value of x and y

Let:

x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)

Add eq(1) and eq(2)

x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2

Putting value of x in eq(1) and finding y

x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

8 0
3 years ago
Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.
FrozenT [24]

Answer:

40% chance

Step-by-step explanation:

Take the number of horses total and divide the number of bay horses.

5 0
3 years ago
Compare 7⁄8 with 14⁄16 using ( &lt;, &gt;, =). A. none of the above B. 7⁄8 &gt; 14⁄16 C. 7⁄8 = 14⁄16 D. 7⁄8 &lt; 14⁄16
Kryger [21]
7/8 = 0.875
14/16 = 0.875

Therefore, 7/8 = 14/16
7 0
3 years ago
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