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monitta
3 years ago
10

The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture fra

me. Use x as your variable.​
Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

  • P = 2.5x

Step-by-step explanation:

Let the length is x, then the width is 1/4x.

<u>Find the perimeter of rectangle:</u>

  • P = 2(l + w)
  • P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5x
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What percentage of 64 is 48
Schach [20]

Answer:

75%

48/ 64  x 100% = 75%

Hope this helps!

5 0
4 years ago
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insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of
ss7ja [257]

Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

=16.28\%

Significance level : \alpha= 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

7 0
4 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Margaret [11]
In getting the area of and equilateral triangle, you must first consider that all of its sides are congruent and that is 3 inches, so the formula in getting the area is height form its base so in getting its height you must use the pythagorean theorem by dividing the triangle so the hypotenuse of it is 3 and the base of 1.5inches, so the height is 4.77 inches then the area is 7.15 sqr.inch
4 0
3 years ago
Aiden brought chocolate and vanilla cupcakes to school for his birthday. 12 students picked a vanilla cupcake and 88 students pi
White raven [17]

Answer:

the percentage is 12%

Step-by-step explanation:

Given that

The 12 students picked up the vanilla cupcake

And, 88 students picked up the chocolate cupcake

We need to find out the percentage of the students picked up a vanilla cupcake

So, the percenatge is

= (12) ÷ (12 + 88) × 100

= 12 ÷ 100 × 100

= 12%

Hence, the percentage is 12%

8 0
3 years ago
Which graph shows a quadratic function with a discriminant value of 0?
Tomtit [17]

Answer:

  see below

Step-by-step explanation:

A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.

_____

<em>Comment on discriminant</em>

discriminant > 0, two (2) x-intercepts (first 2 graphs)

discriminant < 0, no (0) x-intercepts (third graph)

8 0
3 years ago
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