1/4 gallon equals how many cups

Solve the following system of equations.

sasho [114]

X is minus 2
y is equal to 1

4 0

3 years ago

What is 2,000,000 x 10,000 x 170 x 10E1146?

Valentin [98]

Answer:

3.4*10^1159

Step-by-step explanation:

2,000,000 x 10,000 x 170 x 10E1146

2,000,000 x 10,000 = 2*10^10

2*10^10*170 =340*10^10

Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent

3.4*10 ^ (10+2)

3.4*10^12

10E 1146 means 10*10^1146

This is really 1 * 10^(1146+1)

3.4*10^12 * 10^1147

We add the exponents

3.4*10^(12+1147)

3.4*10^1159

5 0

3 years ago

Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation o

Vikki [24]

Answer:

(a) The percent of her laps that are completed in less than 130 seconds is 55%.

(b) The fastest 3% of her laps are under 125.42 seconds.

(c) The middle 80% of her laps are from 126.80 seconds to 132.63 seconds.

Step-by-step explanation:

The random variable X is defined as the number of seconds for a randomly selected lap.

The random variable X is normally distributed with mean, μ = 129.71 seconds and standard deviation, σ = 2.28 seconds.

Thus, $X\sim N(129.71,\ 2.28^{2})$ .

(a)

Compute the probability that a lap is completes in less than 130 seconds as follows:

$P(X$

$=P(Z$

The percentage is, 0.55 × 100 = 55%.

Thus, the percent of her laps that are completed in less than 130 seconds is 55%.

(b)

Let x represents the 3rd percentile.

That is, P (X < x) = 0.03.

⇒ P (Z < z) = 0.03

The value of z for the above probability is:

z = -1.88

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\-1.88=\frac{x-129.71}{2.28}\\x=129.71-(1.88\times 2.28)\\x=125.4236\\x\approx 125.42$

Thus, the fastest 3% of her laps are under 125.42 seconds.

(c)

Let x₁ and x₂ be the values between which the middle 80% of the distribution lie.

That is,

$P(x_{1}$

The value of z for the above probability is:

z = 1.28

Compute the values of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-1.28=\frac{x_{1}-129.71}{2.28}\\x_{1}=129.71-(1.28\times 2.28)\\x=126.7916\\x\approx 126.80$ $z=\frac{x_{2}-\mu}{\sigma}\\1.28=\frac{x_{2}-129.71}{2.28}\\x_{2}=129.71+(1.28\times 2.28)\\x=132.6284\\x\approx 132.63$

Thus, the middle 80% of her laps are from 126.80 seconds to 132.63 seconds.

5 0

3 years ago

Work out the area of the parallelogram. Not drawn accurately 13 cm 799 21 cm

Setler [38]

all u do is see what looked right and add

6 0

3 years ago

Read 2 more answers

Number 6. I have no idea how to do this because the question doesn’t give enough information

Savatey [412]

${13}^{2} = {5}^{2} \times {b}^{2} \\ 169 = 25 \times {b}^{2} \\ 165 - 25 = {b}^{2} \\ 144 = {b}^{2} \\ \sqrt{ {b}^{2} } = \sqrt{144} \\ b = 12$

3 0

3 years ago