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3 years ago

11

The hospital is 3.1 miles west of the fire station. What is the length of straight line between the school and the hospital? Rou

nd to the nearest tenth. Enter your answer in the box.

1 answer:

kenny6666 [7]3 years ago

5 0

Answer:

2.1 miles

Step-by-step explanation:

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1.75 + .75m = 4.75 what’s the answer in solution for this problem

ELEN [110]

Answer:

m=4

Step-by-step explanation:

We are to find the value of m in the question

1.75+0.75m=4.75

Let's start by substrating 1.75 from both sides

0.75m=3

We will have to make m the subject of formula by dividing both sides by 0.75

m=4

Therefore the final answer for m is 4

5 0

3 years ago

Read 2 more answers

What is the value of the expression 8 1/2-2+43/4<br><br> Please hurry

Phantasy [73]

Answer:

$8\frac{1}{2}-2+\frac{43}{4}=\\ \\=\frac{17}{2}-\frac{8}{4}+\frac{43}{4}\\ \\=\frac{34}{4}-\frac{8}{4}+\frac{43}{4}\\\\=\frac{69}{4}\\ \\\ =17\frac{1}{4}$

3 0

3 years ago

R , S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. mR = 60, mS = 80, mF = 60, mD =

Mumz [18]

Answer:

Yes, the two triangles are congruent, by ASA.

Step-by-step explanation:

In order to find if two triangles are congruent, you need the information of at least three out of the six incongnits of a triangle (the incognits are the three sides and the three angles)

Some of the ways to know if they're congruents are:

-ASA (Angle, side, angle): Two angles and the included side are equal for both triangles.

-AAS(Angle, angle, side): Two angles and a non-incuded side are equal for both triangles

-SAS(Side, angle, side): Two sides and the included angle are equal for both triangles.

In this case, two angles and one side of each triangle are known.

For the triangle RST, you know two angles and the included side.

For the triangle EFD, you know two angles and the non-included side. But is also known that the sum of the angles of a triangle is 180°, therefore you can obtain the third angle of EFD:

180=m∡F+m∡D+m∡E

m∡E= 180 - 60 -40

m∡E= 80°

Therefore:

m∡E=m∡S

m∡F=m∡R

RS=EF

Hence, two angles and the included side for RST and EFD are equal and the triangles are congruent by ASA.

8 0

3 years ago

A procurement specialist has purchased 25 resistors from vendor 1 and 30 resistors from vendor 2. Let

Ulleksa [173]

Answer:

Normal Distribution

Standard error = 0.473

Step-by-step explanation:

We are given the following information:

A procurement specialist has purchased 25 resistors from vendor 1 are assumed to be normally distributed with mean 100 ohms and standard deviation 1.5 ohms.

$x_{1,1}, x_{1,2}, ... , x_{1,25}\\\mu_{1} = 100\\\sigma_1 = 1.5$

A procurement specialist has purchased 30 resistors from vendor 2 are assumed to be normally distributed with mean 105 ohms and standard deviation 2.0 ohms.

$x_{2,1}, x_{2,2}, ... , x_{2,30}\\\mu_{2} = 105\\\sigma_1 = 2.0$

The difference of two independent normally distributed random variables is normal, with its mean being equal to the difference of the two means, and its variance being the sum of the two variances.

Thus, the sampling distribution of $X_1-X_2$ is a normal distribution.

Mean =

$100 - 105 = -5$

Standard error =

$\sqrt{\displaystyle\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}\\\\=\sqrt{\displaystyle\frac{(1.5)^2}{25} + \frac{(2)^2}{30}}\\\\= 0.473$

8 0

3 years ago

- 5 + 3(b + 9b - 5) + 9b ^2

bekas [8.4K]

Answer:

This looks like a quadratic root problem on first glance, lets simplify it.

Distribute the 3.

-5 + 3b + 27b - 15 + 9b^2

Simplify like terms of b.

-5 + 30b - 15 + 9b^2

Simplify constants

30b - 20 + 9b^2

Rearrange it so its easier to tell

9b^2 + 30b - 20

Now solve for the roots,

which gets you x = .5694 & x= -3.902

8 0

3 years ago