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stiks02 [169]
4 years ago
6

Which is steeper: a road with a 12% grade or a road with a pitch of 1 in 8?

Mathematics
1 answer:
11Alexandr11 [23.1K]4 years ago
7 0

Answer:

A road with a pitch of 1 in 8 is steeper.

Step-by-step explanation:

Let us convert these to the same units so that we can better compare them.

\frac{1}{8} = 0.125

0.125=12.5 %

As 12.5% is greater than 12%, the road with a pitch of 1 in 8 will be steeper.

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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers li
____ [38]

Answer:

The correct answer: 0.05404

Step-by-step explanation:

Given:

Binomial distribution = x

n = 10

and p = 0.09

solution:

P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10

So the probability is calculated by the Formula:

P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)

putting the given values in the formula

= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))

= 0.0540400

Thus, the correct answer: 0.05404

5 0
3 years ago
If random samples of size 11 are drawn from a population with mean 7 and standard deviation 3 , find the standard error of the d
allsm [11]

Here,

n = 11

mean = 7

Standard Deviation (σ) = 3

S.E. = ?

We know that,

S.E. = σ/\sqrt{n}

S.E. = 3/\sqrt{11}

∴ S.E. = 0.905 Ans.

5 0
3 years ago
Determine whether the relationship is a function. Explain your reasoning.
OlgaM077 [116]

Answer:

Not a function, because there are more than one of the same x-intercept which makes a vertical line.

Step-by-step explanation:

7 0
3 years ago
Ella has two 8-ft. long boards. She
faust18 [17]
17.06. 17.07 if you round up
6 0
3 years ago
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