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Artyom0805 [142]

2 years ago

10

Dylan lives about 27 miles from the mall. If he can drive at an average rate of 36 miles per hour through town, about how long d

oes it take for Dylan to drive to the mall?

1 answer:

Vlad [161]2 years ago

6 0

Answer:

45 minutes

Step-by-step explanation:

distance / rate = time

27 miles / 36 miles/hr = .75 hr ( 45 minutes )

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The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the p

Semmy [17]

Answer:

The probability is $P(\= X > x ) = 0.78814$

Step-by-step explanation:

From the question we are given that

The population mean is $\mu = 149$

The standard deviation is $\sigma = 14$

The random number $x = 147.81$

The sample size is $n = 88$

The probability that the sample mean would be greater than $P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )$

Generally the z- score of this normal distribution is mathematically represented as

$Z = \frac{ \= x - \mu }{\sigma_{\= x} }$

Now

$\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{14 }{\sqrt{88} }$

$\sigma_{\= x } = 1.492$

Which implies that

$P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )$

$P(\= X > x ) = P( Z > -0.80 )$

Now from the z-table the probability is found to be

$P(\= X > x ) = 0.78814$

5 0

3 years ago

Slice each system of linear equations by multiplying <br> 3x+3y=12 <br> 6x+11y=14

GalinKa [24]

Answer:

(x, y) = (6, -2)

Step-by-step explanation:

Sometimes this solution method is called "addition" or "elimination." You want to multiply one or both equations by a value or values that make the coefficients of one of the variables be opposites. Then when you add the equations, the result is an equation without that variable. (One variable has been eliminated.)

Multiply the first equation by -2 to make its x-coefficient the opposite of that in the second equation. Then add the two equations:

-2(3x +3y) = -2(12)

-6x -6y = -24

Add the second equation ...

(-6x -6y) +(6x +11y) = (-24) +(14)

5y = -10 . . . . . simplify

y = -2 . . . . . . . divide by 5

__

3x +3(-2) = 12 . . . . . substitute into the first equation

3x = 18 . . . . . . . . . . add 6

x = 6 . . . . . . . . . . . . divide by 3

The solution is (x, y) = (6, -2).

6 0

3 years ago

Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you

lyudmila [28]

Answer: 1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= $10_P_4$

= $\frac{10!}{(10-4)!}$

= $\frac{10!}{6!}$

= $\frac{10\times 9\times 8\times 7\times 6!}{6!}$

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

The different combinations of machines can Geoff choose from to use

= $11_C_3$

= $\frac{11!}{(11-3)!3!}$

= $\frac{11!}{8!3!}$

= $\frac{11\times 10\times 9\times 8!}{8!\times 6}$

= 11 × 5 × 3

= 165

5 0

3 years ago

The sundae bar at Sarah's favorite restaurant has 5 toppings. In how many ways can Sarah top her sundae if she is restricted to

satela [25.4K]

Answer:

15 ways.

Step-by-step explanation:

There are 5 ways to have 1 topping.

There are 5C2 = 5*4 / 2*1 = 10 ways of having 2 toppings.

5 0

4 years ago

A cone has a radius of 6 inches and a height of 10 inches.

MissTica

The exact value of the cone is the answer corresponding with B

6 0

3 years ago