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3 years ago

Julia ride her horse 12 miles in 45 minutes. What is her average speed in mil/hour?

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer

16miles/h

Step-by-step explanation:

45minutes is 3/4 of an hour (60 minutes) so multiply 12 and 3/4 (75%) to get 4miles. 4 miles is only 1/4 of her hour so just multiply 4 by 4 to get 16miles.

AnnZ [28]3 years ago

4 0

Answer:

16 miles/hour

Step-by-step explanation:

We need to convert minutes to hours. 1 hours = 60 minutes

45 minutes * 1 hour/60 minutes = 45/60 hours = 3/4 hours = .75 hours

12 miles/45 minutes = 12 miles /.75 hours = 16 miles/hour

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Solve each equation.<br> 3) 4= 2x + 3.x

Andrej [43]

Answer:

Step-by-step explanation:

2x+3x=4

5x=4

x=4/5

6 0

2 years ago

Read 2 more answers

I really need help. Find a. Round to the nearest tenth.

valina [46]

Answer:

a ≈ 1.8

Step-by-step explanation:

a / sin (180 - 105 - 15)° = 2 /sin 105°

a = (2 /sin 105°) x sin 60°

a = (2 / 0.97) x 0.87

a = 1.79 (≈ 1.8)

6 0

3 years ago

Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i

lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0

3 years ago

A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch?

Reptile [31]

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula $A= \pi r^{2}$ , where r is equal to the radius of the circle.

In this exercise is given that the diameter of a standard cardboard is 18 inches or a radius of 9 inches and it is asked to find its area. Therefore, to find the area of the circle you should substitute the value of the radius into the previous mention formula.

$A= \pi r^{2}$
$A= \pi (9 in)^{2}$
$A= \pi (81 in^{2})$
$A=254.47 in^{2}$

The area of the standard dartboard is 254.47 square inches or 254 square inches.

8 0

2 years ago