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spayn [35]
3 years ago
6

The coordinate grid shows a scale model in feet of Sylvia’s bedroom. Sylvia wants to apply a border around the top of the bedroo

m walls. What is the length of the border that Sylvia needs?
20ft
22ft
32ft

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

22 ft

Step-by-step explanation:

Find the perimeter.

6 + 6 + 5 + 5 = 22 ft

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For f(x) = 4x+1 and g(x)=x²-5, find (f-g)(x).
SSSSS [86.1K]

Answer: -x² + 4x + 6

Given:

f(x) = 4x + 1

g(x) = x² - 5

Solve:

= (f - g)(x)

= f(x) - g(x)

= 4x + 1 - (x² - 5)

= 4x + 1 - x² + 5

= -x² + 4x + 6

4 0
2 years ago
Read 2 more answers
Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna
uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : \hat{p}=\dfrac{150}{400}=0.375

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})

=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]

=P(z>-1.02)=P(z-z)=P(Z

\approx0.8461  [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

4 0
4 years ago
Scores on a recent exam followed a normal distribution and letter grades will be assigned with 15% A, 35% B, 30% C, 15% D, and 5
noname [10]

Using the normal distribution, it is found that Sue will get a letter grade of B.

In a <em>normal distribution </em>with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem, Sue got a grade of 0.85, hence z = 0.85.

  • Looking at the z-table, z = 0.85 has a p-value of 0.8023, hence she is approximately in the top 20%, which is below the top 15% but above the top 50%, hence she got a letter grade of B.

A similar problem is given at brainly.com/question/25745464

5 0
3 years ago
when sunayana purcased a video-game she paid Rs 162.50 as VAT at the rate of 13%. find its cost without levying VAT. Rs 1250 is
horsena [70]

Answer: 1250

Step-by-step explanation:

Let x be the cost before vat

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x = 162.50 x 100/13

x = 162.50 / 2.13

x = 1250

3 0
4 years ago
Suppose we have 14 boxes of pastries (each box of a different flavor), each with a scone and a muffin inside. For example, one b
Alexeev081 [22]

Answer:

5 muffin and 9 scones is 14

6 0
3 years ago
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