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Westkost [7]
3 years ago
6

The quarterback passed a gain of 27 yards, but the next play,the referee called a penalty of 10 yards. How far did the ball adva

nce after the two players?
Mathematics
2 answers:
Goryan [66]3 years ago
8 0
27 yard gain - 10 yard penalty = 17 yards that the ball advanced after the two plays.
Diano4ka-milaya [45]3 years ago
6 0

your answer will be 17

---------------------------------------------------------------------------------------------------------------------

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Write this equation in standard form<br> y + 4 = 2/3 (x+7)
Karo-lina-s [1.5K]

Answer:

y=\frac{2}{3}x+\frac{2}{3}

Step-by-step explanation:

The standard equation of a straight line is of the form:

y=mx+c

We have to convert the given equation into above form.

Simplifying the given equation:

y=\frac{2}{3}x+\frac{14}{3}-4

         =\frac{2}{3}x+\frac{(14-12)}{3}

        =\frac{2}{3}x+\frac{2}{3}.- This is in standard form

where m=c=\frac{2}{3}

5 0
3 years ago
Read 2 more answers
Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def
boyakko [2]

Answer:

z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17  

The p value for this case would be given by:

p_v =P(z>3.17)=0.00076  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Step-by-step explanation:

Information provided

n=400 represent the random sample taken

X=59 represent number of defectives from the company B

\hat p=\frac{59}{400}=0.1475 estimated proportion of defectives from the company B  

p_o=0.1 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:  

Null hypothesis:p \leq 0.1  

Alternative hypothesis:p > 0.1  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17  

The p value for this case would be given by:

p_v =P(z>3.17)=0.00076  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

8 0
3 years ago
Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the
nignag [31]

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

3 0
3 years ago
The cost in dollars of making x items is given by the function C(x)=10x+900 .
Stella [2.4K]

For the given cost equation we have:

a) Fixed cost is $900.

b) For making 25 items the cost is $1150.

c) D: x ∈ [0, 150]

   R: c ∈ [900, 2400]

<h3>Working with the cost equation.</h3>

Here we know that the cost equation is:

c(x) = 10*x + 900.

First, we want to get the fixed cost, it is given by evaluating the function in x = 0.

c(0) = 10*0 + 900 = 900

The fixed cost is 900.

b) Now we want to get the cost for making 25 items, to get this, we just evaluate in x = 25.

c(25) = 10*25 + 900 = 250 + 900 = 1150

c) Now, if the maximum cost is 2400, then the maximum number of items that we can make is x₀, such that:

c( x₀) = 2400 = 10*x₀ + 900

Solving for x₀ we get:

x₀ = (2400 - 900)/10 = 150

Now we want to get the range and domain.

We know that we can make between 0 and 150 items, so the domain is:

D: x ∈ [0, 150]

For the range, we know that the fixed cost for 0 items is 900, and the maximum cost is 2400, then the range is:

R: c ∈ [900, 2400]

If you want to learn more about domain and range:

brainly.com/question/10197594

#SPJ1

5 0
2 years ago
Whoever is good at math, please help!
otez555 [7]

Answer:

I think it is 37.5°.

Step-by-step explanation:

6 0
3 years ago
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