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LiRa [457]
3 years ago
5

What is the combined perimeter of these two rectangles?

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Perimeter is sum of all sides:

Purple rectangle:

Perimeter = 2[2x+7 + 4x+5]

= 2[6x + 12]

= 12x + 24

White rectangle:

Perimeter = 2[3x + 3x+14]

= 2[6x + 14]

= 12x + 28

Total Perimeter:

12x + 24 + 12x + 28

= 24x + 52

o-na [289]3 years ago
3 0

Answer:

D) 24x + 52

Step-by-step explanation:

The perimeter of the shaded rectangle

P = 2(l+w)

   = 2(4x+5  + 2x+7)

Combine like terms

   =2( 6x+12)

Distribute

   = 12x+24

The perimeter of the unshaded rectangle

P =2(l+w)

   = 2(3x+14  +3x)

 Combine like terms

    =2(6x+14)

Distribute

   =12x+28

Add  the perimeters together

12x+24+ 12x+28

Combine like terms

24x+52

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Express 6/25 as a decimal fracture​
Keith_Richards [23]

Answer:

0.24

Step-by-step explanation:

4 0
3 years ago
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The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i
fenix001 [56]

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

n=16 sample size        

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.      

t would represent the statistic (variable of interest)        

p_v represent the p value for the test (variable of interest)    

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:        

t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)        

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

3) Calculate the statistic        

We can replace in formula (1) the info given like this:        

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

8 0
2 years ago
How many different ways can the line be named? What are those names?
boyakko [2]

Answer: A. 3 ways: k, DE, ED (both DE and ED have line markers over top)

To name a line, we just need two points on the line. We list them in any order because the line extends forever in both directions. Contrast this with a ray where order does matter. The little k is another way to name a line, potentially simplifying things.

Choice B is close, but it mentions ray DE instead of line DE. Choice C is missing line ED. Choice D is a similar story as choice B. These facts allow us to rule out B through D.

5 0
3 years ago
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Need help with the introduction to probability lesson, photo is attached below.
erastovalidia [21]

Answer:

For A.) there are only 2 so 2/8 would become0.25

B.) 4 even number 4/8= 1/2 = 0.50

C.) 1 Red  1/8= 0.125

D.) 5 Not blue 5/8 = 0.625

E.)3 Blues 3/8= 0.375

F.) 0 because there are no 9 so it's not possible

Step-by-step explanation:

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1 year ago
Which number line shows the solutions to n &gt; 3?ヽ(°◇° )ノ
balu736 [363]
It is the first number line :)
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