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2 years ago

Type the correct answer in the box. Use numerals instead of words.

Mathematics

1 answer:

Mashutka [201]2 years ago

4 0

About 115°

Step-by-step explanation:

By 2 pi r, total circumference is about 942
Length of an arc = 2 pi r (theta/360)
We needed to find theta(angle) here
Easily putting all the values gives us 115°

$\huge\bold{\purple{\bold{⚡Easy,right? ⚡}}}$

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In one baseball season, Nolan hit twice the difference of the number of home runs Mrs. Davis hit and 6. Altogether, they hit 18

Alborosie

Answer:

Nolan hitted 8 home runs

Step-by-step explanation:

Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.

So, we can write the following equations:

N = 2 * (D - 6)

N + D = 18

Now we can solve the system of equations, using the value of N from the first equation in the second one:

2 * (D - 6) + D = 18

2*D - 12 + D = 18

3*D = 30

D = 10

Now we find N:

N + D = 18

N + 10 = 18

N = 8

So we have that Nolan hitted 8 home runs.

4 0

3 years ago

What is the length of side AC of the triangle?

ryzh [129]

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

3 0

2 years ago

Need help with number 1.

seropon [69]

Answer:

Your answer is E.

Step-by-step explanation:

8 0

3 years ago

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64

andreev551 [17]

Answer:

104 miles hope i helped

6 0

2 years ago

Read 2 more answers

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

2 years ago