The number of miles that regular tires last has a Normal
distribution with a mean of 50,000 miles and a standard
deviation of 8,200 miles.
If a random sample of 4 tires are selected, the probability
that the mean number of miles they last is more than
60,000 miles is 0.0075.
Is there convincing evidence that the mean number of
miles for all regular tires is greater than 60,000 miles?
___,it is,____ to randomly select 4 tires and
obtain a sample mean of greater than 60,000 miles if
the true mean of the population is 50,000 miles.

Answer:

x = -3

Step-by-step explanation:

To answer this question, you should first remember that the inside angles of a triangle will always add up to 180 degrees. Therefore, we can make an equation and solve it form there:

55 + 54 + (x + 74) = 180

We add like terms:

109 + (x + 74) = 180

Continue adding like terms:

183 + x = 180

Next, we dubtract to siolate the "x" variable:

x = -3

Hope this helps :)

x=-3

Step-by-step explanation:

To start off, you're going to want to know and understand that all the angles of triangle equal 180 degrees.

Now that we know a triangle equals 180 degrees, lets make an equation. This is equation can be 55+54+74+x=180.

Now, lets combine the like terms in the equation. The equation now becomes 183+x=180.

From here, we subtract 180 from both sides, which would get us x=-3.

To double check that this is correct and that it works, you can plug in the -3 where the x would be.

I hope this helped!! Let me know if you have any further questions.

Answer:

3 2/3 is greater

Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

Answer:

Men: 5 : 3 = 20 : 12

Women: 7 : 4 = 21 : 12

So for every 12 children there are 20 men to 21 women.

Neither men nor women compose more than half of the concert population

There are 200 men staying at the resort. Then the number of children in the resort will be 292.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

In a holiday resort, the ratio of men to women is 5:6 and the ratio of women to children is 4:7.

There are 200 men staying at the resort.

Then the number of women in the resort will be

Women / 200 = 5 / 6

Women = 500 / 3

Then the number of children in the resort will be

(500/3)  / children = 4/7

                children = 291.67

                children ≈ 292

More about the ratio and the proportion link is given below.

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Answer:

500

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

x+y=5

3x-y=-5

Add the equations together will get you:

4x=0

Divide the 0 by 4 to get the x alone will get you

x=0

Answer:

There's one solution

(0,5)

Step-by-step explanation:

There's one solution

We can tell this is true because of the 3x in the second on and just hte x in the first. If you look closely you'll see the coefficents for the x values is the only difference between the two.

Let's now solve

We need to get a positive variable by itself

let's take x+y=5 and solve for y

x-5= -y

y= -x+5

We can then plug this y value into the other equation

3x-(-x+5)= -5

3x+x-5= -5

4x= 0

x=0

Let's then plug this value in for x into any of the beginning equations

0+y=5

y=5

Answer:

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

Given:

The given statement are:

a. Eight less than the product of seven and x.

b. The sum of six and the product of three and d.

To find:

The expression for the given statements.

Solution:

a.

Product of 7 and x is 7×x = 7x.

Eight less than the product of seven and x is 7x - 8.

Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.

b.

Product of 3 and d is 3×d = 3d.

The sum of six and the product of three and d is 6+3d.

Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.

Answer:

A

Step-by-step explanation:

I literally just did the test a week ago and gt the answer correct

Answer:

Slope = 4

Step-by-step explanation:

The slop of the line is going to be rise over run.

So take where it the y value is 20 as [tex]y_1[/tex], and where it hits about 32 as value [tex]y_2[/tex].

You have you x value when y1 as 5 and x value at yw as 8.

So what you will do here is

[tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

[tex]\frac{32-20}{8-5}[/tex]

[tex]\frac{12}{3} = 4[/tex]

So your slope is 4.

Answer:

4x + 5

Step-by-step explanation:

After solving the given equation, the value obtained for x will be equal to -5/4.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given expression in the question,

(15x + 7) + (-11x - 2)

15x + 7 -11x - 2

4x + 5

Now, solve it for x,

4x = -5

x = -5/4

To know more about equation:

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Answer:

4

Explanation:

sum of interior angle= 180°

10x= 180- (80+60)

10x= 180- 140

10x= 40

x=40/10

x= 4

PLEASE MARK ME AS BRAINLIEST!!!!

[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

✯ The sum of all the interior angles of triangle sum upto 180°.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Using the above knowledge we say that the angles of the given traingle should sum upto 180°.

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 80^{\circ} + 60^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 140^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 180^{\circ} - 140^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 40^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{40^{\circ}}{10^{\circ}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \cancel{\dfrac{40^{\circ}}{10^{\circ}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ [tex]\large{\bold\red{x = 4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the value of x is 4.

Answer:

5 in by 8 in

Step-by-step explanation:

Given that :

Area, A of rectangle = 40 in²

Let

height = x

Base = 2x - 2

Area of rectangle = L * B

40 = x * (2x - 2)

40 = 2x² - 2x

2x² - 2x - 40 = 0

x² - x - 20 = 0

x² - 5x + 4x - 20 =0

x(x - 5) +4(x - 5) = 0

x - 5 = 0 or

x + 4 = 0

x = 5 or x = - 4

X cannot be negative

X = 5

Height = 5

Base = 2*5 - 2 = 8

Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE  x4n−3

 DIFFERENTIATE W.R.T. X  (4n−3)x4(n−1)

Answer: 22+62÷22

22+2.8181

24.8181

So 22+62÷22 is about 24.8181

hope this helps have a nice day❤️❤️❤️

Step-by-step explanation:

Answer:

22.73

Step-by-step explanation:

22+62=84

84/22=22.7380952381

Answer:

25 volume is answer of your question

Answer:

V=7065in³

Step-by-step explanation:

Radius is marked as 15, sub in 15 for r.

We are told to use 3.14 for π.

V=((4/3)πr³)/2

V=((4/3)(3.14)(15³))/2

V=((4/3)*3.14*3375)/2

V=14130/2

V=7065in³

Answer:

$6

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1%/100 = 0.01 per year,

then, solving our equation

I = 300 × 0.01 × 2 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 300.00

at a rate of 1% per year

for 2 years is $ 6.00.

Answer:

$27.5

Step-by-step explanation:

P =$500, R = 11 pcpa, T = 6 months = 1/2 years

[tex]I = \frac{PRT}{100} = \frac{500 \times 11 \times \frac{1}{2} }{100} \\ \\ = 5 \times 11 \times \frac{1}{2} \\ \\ = 55 \times \frac{1}{2} \\ \\ I= \$ 27.5[/tex]

Answer:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Step-by-step explanation:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Answer:

oh dang i hated doing these when i was in sixth grade lol umm  55?????

Step-by-step explanation:

Answer:

For City Bus you will need to ride 10 times for 2 months, and for Campus Transport you need to ride 16 times.

Step-by-step explanation:

$2.50 x 2 = $5.00 so you know that the number of rides needs to even in order to have a whole number. This is because there is no way the City Bus cost will ever have cents.

$2.50 x 16 = $40.00

$15 x 2 = $30

$1 x 10 = $10

$30 + $10 = $40

So (15 x 2) + (10 x 1) = 16 x 2.50

Answer:

same I need the answer someone help

Answer:

-2

Step-by-step explanation:

Just use 6-8 and you will get - 2

Check again with - 2+8 you will get positive 6

Answer:

error made in step 2, should be 3x² + 15x - 18 = 0

3(x+6)(x-1) = 0

x = -6 and x = 1

Step-by-step explanation:

Answer:

I dont know but maybe later

Answer:

154

Step-by-step explanation:

Since its a circle, it will be 360 degrees, so then do 190+26=206, then do 360-206=154

Answer:

3.2906, The 9

hope this helps :)