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4 years ago

Peyton is a sprinter who can run the 40 yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below:

Mathematics

1 answer:

blsea [12.9K]4 years ago

3 0

It’s 40yd because if you multiply 10 times 4 equals 40 and it’s 4.5 half

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A wooden fence 6 ft. high and 300 ft. long is to be painted on one side. How many gallons of paint are needed if one gallon cove

Anna35 [415]

First, you should calculate the square footage of the fence.6ft∗300ft=1800ft2 Then to find the number of gallons of paint needed, divide the area of the fence by the area covered with each gallon of paint: 1800ft2÷400ft2=4.5 So, 4.5 gallons of paint, or rounding up, 5.

6 0

4 years ago

Read 2 more answers

Describe in words how you would solve the linear system y = 3x + 1 and y = - 2x + 3.

Sergio [31]

We are using substitution to solve this problem.

y=3x+1
y=-2x+3
Make these equal each other: 3x+1=-2x+3
Add 2x to both sides: 3x+2x+1=-2x+2x+3
= 5x+1=3
Subtract 1 from both sides; 5x+1-1=3-1
= 5x=2
Divide 5 from both sides: 5x/5=2/5
X= 2/5
Plug X into one of the equations: y=3(2/5) +1
y=11/5(2.2)

(2/5,11/5)

5 0

3 years ago

What is the circumference of the given circle? Calculate your answer to 2 decimal place value.

Sholpan [36]

Answer:

56.54 will be the circumference if 9 is the radius......

Hope it helps!!!

6 0

3 years ago

During the holiday sale at blooming department store all sweaters are discounted 30% on blockbuster Saturday the store discounts

RSB [31]

Answer: He would pay $62.37 for it on blockbuster Saturday.

Step-by-step explanation:

Since we have given that

Original price of sweater = $99

Discount on blockbuster Saturday = 30%

Additional discount on sweater = 10%

So, According to question,

$Net\ Price=Price\times \frac{100-Discount}{100}\\\\\text{As there are 2 successive discounts }\\\\So,\\\\Net\ Price=Price\times \frac{100-D_1}{100}\times\frac{100-D_2}{100}$

$99\times \frac{100-30}{100}\times \frac{100-10}{100}\\\\=99\times \frac{70}{100}\times \frac{90}{100}\\\\=\$62.37$

Hence, he would pay $62.37 for it on blockbuster Saturday.

3 0

3 years ago

64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number

9966 [12]

Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642

P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649

P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115

Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

C) P(x < 4) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(x < 4) = 0.0305

5 0

3 years ago