Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?

Answer:

14/3 or 4 2/3

Step-by-step explanation:

10 1/2 => 21/2

2 1/4 => 9/4

21/2 divided by 9/4

(Keep, Change, Flip)

21/2 * 9/4

Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.

7/1 *2/3 = 14/3 = 4 2/3

Answer:

(2,1)

Step-by-step explanation:

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

[tex]H_0: \mu_S - \mu_N \geq 0[/tex]

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

[tex]H_1: \mu_S - \mu_N < 0[/tex]

Regarding each sample, the mean and standard deviation are found using a calculator.

[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]

[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]

[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]

The distribution of the difference has mean and standard error given by:

[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]

[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

In which [tex]\mu[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]

[tex]t = -0.47[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

A similar problem is given at https://brainly.com/question/13873630

Answer:

m=50

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula:

Step-by-step explanation:

Step 1: Define

Point (40, 3000)

Point (60, 4000)

Step 2: Find slope m

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

Hey there!

75% of ? = 30

75% of x = 30

75/100 * x = 30

75 ÷ 25 / 100 ÷ 25 * x = 30

3/4 * x = 30

MULTIPLY 4/3 to BOTH SIDES

4/3 * 3/4x = 4/3 * 30

CANCEL out: 4/3 * 3/4 because that gives you 1

KEEP: 4/3 * 30 because it helps solve for your answer

x = 4/3 * 30

SIMPLIFY IT

x = 40

Therefore, 75% of [40] = 30

Answer: 40

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

  x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

  Sin = Opposite/Hypotenuse

  siin(x) = 32/58

The angle measure is found using the inverse function:

  x = arcsin(32/58) ≈ 33.49°

Answer:

i got 32 is it 32 cause i put 33 cause it was closer

Step-by-step explanation:

Answer:

339,006

Step-by-step explanation: i think

Answer:

300,000 + 30,000 + 9,000 + 6

Step-by-step explanation:

hope this helps. . . <3

good luck!       UwU

Answer:

x = 1

Step-by-step explanation:

2(3x - 7) + 18 = 10 ( subtract 18 from both sides )

2(3x - 7) = - 8 ( divide both sides by 2 )

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Answer:

I think it is probably -12

Step-by-step explanation:

Answer:

2.2360679774998

Step-by-step explanation:

Answer:

integers are always rational. They don't include decimals

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

All integers are rational numbers, since they can be expressed as a ratio (fraction) with a denominator of 1.

Answer:

X equals 8.

Step-by-step explanation:

Firstly, you remove the parentheses

Secondly, you move the terms

Then you collect like terms and add the numbers

Lastly, you divide both sides which gives you 6 x = 48,

so your answer is 8.

Hope this helped.

Answer:

x = 8

Step-by-step explanation:

Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13

7(x - 5) = x + 13

7x - 35 = x + 13 ⇒ expand brackets

7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides

7x = x + 48

7x - x = x + 48 - x ⇒ subtract x from both sides

6x = 48

[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6

x = 8

Hope this helps!

Answer:

0.63636363636363636

Step-by-step explanation:

14/22

Answer:

7/11 or 0.6363636363... and so on in that pattern.

Step-by-step explanation:

Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).

I hope this answer helped you if it is wrong please let me know. Thank you!

Answer:

Amount Tom was paid for his sales last month 88,000 x9%= $7920.00

Step-by-step explanation:

9514 1404 393

Answer:

  8,500 units

Step-by-step explanation:

The contribution margin from each unit is ...

  $185 -121 = $64

To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...

  ($416,000 +128,000)/($64/unit) = 8,500 units

Answer:

y= -54-2

y= -56 &

x= -54/ -9

x= 6

Step-by-step explanation:

y= -9x-2

-9x= y+2 divide bothe side by -9

x=y+2/-9

y= -9(y+2/ -9) -2 = (y+2)-2

y= -2(y+2)

y= -2y-4

y+2y= -4

3y= -4 divide bothe side by 3

y= -4/3

x=y+2/ -9

x= -4/3+2/-9

x= -2/3× -9

x=18/3

x=6

Answer:

Total weekly earning = 11x + 9y

Step-by-step explanation:

(a) 11x + 9y = Total weekly earning

The required objective function is 11x + 9y which describes the total weekly earnings.

A linear function is defined as an equation in which the highest exponent of the variable is always one.

We have been given that a tutor makes $11 per hour while a teacher's aide receives $9 per hour.

Let's assume that x represents the number of hours each week spent tutoring and

y represents the number of hours each week spent as a teacher's aide.

According to the given information, we can write the linear function would be as:

⇒ 11x + 9y

Therefore, the required objective function is 11x + 9y which describes the total weekly earnings.

Learn more about the Linear functions here:

https://brainly.com/question/13738061

#SPJ2

Answer:

Step-by-step explanation:

Replace f(x) with y. y = x − 7

Interchange the variables.  x = y − 7

Solve for y.  y = x + 7

Solve for y and replace with f^−1 (x).  f^−1(x) = x + 7

I hope this helps have a great day :)

The business owners that would provide a holiday gift to their employees this year is 21.

Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.

In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.

35% x 60

0.35 x 60 = 21 people

To learn more about percentages, please check: https://brainly.com/question/92258

answer I think it

21/16

hop it helps

Answer:

= − 11

Step-by-step explanation:

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

Answer:

3(x+1)

Step-by-step explanation:

Answer:

Y=2x+8

Step-by-step explanation:

Plot points on graph and connect with line. Find slope and y intercept

Answer:6.3 i believe

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

circumference = 2πr

arc length  = (included angle/360) * circumference

as an equation

s = (θ/360) * 2πr

s = (θ/180)πr

---------------------------

θ = 45

r = 8

s = (45/180) * 3.14 * 8

s = 6.28

rounded

s = 6.3

Answer:

[tex] \frac{5}{4} [/tex]

Hello there! :)

45/36

Let's look for common factors:

45 is divisible by 3, 9 (I list the common factors here)

36 is divisible by 3, 9

Now, the greatest common factor (9) is the one we will use.

Divide 45 by 9:

5

36 by 9:

4

So the answer is 5/4.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Step-by-step explanation:

use SOHCAHTOA as shown above in the picture