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2 years ago

The perimeter of a rectangle is 202 the length is 26 more than 4 times the width find the dimensions

Mathematics

1 answer:

laila [671]2 years ago

8 0

Answer:

Width = x
Length = 26 + 4x

Perimeter

$202 = x + x + 26 + 4x + 26 + 4x\\202-26-26=10x\\150=10x\\x=15$

Therefore, the dimensions are

Width = x = 15
Length = 26 + 4x = 26 + 4(15) = 86

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I think that A is the correct answer.

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2 years ago

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A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam

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Answer: $(15.263,\ 17.537)$

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

$\overline{x}=16.40$

$s=4.00$

Since population standard deviation is unknown, so we use t-test.

Critical value for 95 percent confidence interval :

$t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010$

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$16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)$

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2 years ago

Mrs. Jones buys two toys for her son. The probability that the first toy is defective is 1/3, and the probability that the secon

sergeinik [125]

Answer:

Probability= $\frac{1}{15}$

Step-by-step explanation:

As it is given that

Probability of toy A is defective is =P(A) = $\frac{1}{3}$

Probability of toy b is defective if A is defective = P (B)= $\frac{1}{5}$

WE have to find the P(A n B)

By the law of Probability

P(A n B) = P (A).P(B)

putting the values given to us

P(AnB)= $\frac{1}{3}$ * $\frac{1}{5}$

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2 years ago

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Jamie just bought two boxes.The first box is square with each side measuring 10 units and is 4 units high.The second box is rect

MakcuM [25]

Step 1
find the volume of the square box
volume=area of the base*height
area of the base=10²-----> 100 units²
height=4 units
volume square box=100*4----> 400 units³

step 2
volume rectangular box=2*volume square box
volume rectangular box=2*400------> 800 units³

volume rectangular box=L*W*H
H=5 units
W=10 units
Volume=800 units³
800=L*10*5------> solve for L
L=800/(10*5)------> L=16 units

the answer is
the length of the rectangular box is 16 units

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3 years ago

If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$