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[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1200\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=\textit{elapsed time}\dotfill &10\\ \end{cases} \\\\\\ A=1200(1 + 0.02)^{10}\implies A=1200(1.02)^{10}\implies A\approx 1462[/tex]

The game field is 350 40 percent for 250 is 100 and 250 plus 100 is 350

Answer:

10 2/3

Step-by-step explanation:

[tex] \frac{24}{9} = \frac{8}{3} [/tex]

[tex] \frac{8}{3} + 8 = \frac{8 + 24}{3} = \frac{32}{3} = 10 \frac{2}{3} [/tex]

A z-table is also known as the standard normal distribution table. The probability of P(0.75≤ z ≤ 1.25) is 0.121.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

As it is given that the probability and the z-table is given to us, as shown below,

 z          Probability

0.00       0.5000

0.25       0.59871

0.50        0.6915

0.75        0.7734

1.00         0.8413

1.25         0.8944

1.50          0.9332

1.75          0.9599

The following probabilities can be written as:

1.  The probability of P(-1.25)

[tex]P(-z)=1-P(z)\\\\P(-1.25)=1-P(1.25)\\\\P(-1.25)=1-(0.8944)\\\\P(-1.25)=0.1056[/tex]

The probability of P(-1.25) is 0.1056.

2.  The probability of P(-1.25 ≤ z ≤ 0.25)

[tex]P(-1.25\leq z\leq 0.25)=P(0.25)-P(-1.25)\\\\P(-1.25\leq z\leq 0.25)=0.59871-0.1056=0.49311[/tex]

The probability of P(-1.25 ≤ z ≤ 0.25) is 0.49311.

3.  The probability of P(-1.25 ≤ z ≤ 0.75)

[tex]P(-1.25\leq z\leq 0.75)=P(0.75)-P(-1.25)\\\\P(-1.25\leq z\leq 0.75)=0.7734-0.1056=0.6678[/tex]

The probability of P(-1.25 ≤ z ≤ 0.75) is 0.6678.

4.  The probability of P(0.25 ≤ z ≤ 1.25)

[tex]P(0.25 \leq z\leq 1.25)=P(1.25)-P(0.25)\\\\P(0.25\leq z\leq 1.25)=0.8944-0.59871=0.29569[/tex]

The probability of P(0.25 ≤ z ≤ 1.25) is 0.29569.

5.  The probability of P(0.75≤ z ≤ 1.25)

[tex]P(0.75\leq z\leq 1.25)=P(1.25)-P(0.75)\\\\P(0.75\leq z\leq 1.25)=0.8944-0.7734=0.121[/tex]

The probability of P(0.75≤ z ≤ 1.25) is 0.121.

Learn more about Z-table:

https://brainly.com/question/6096474

Answer:

C

Step-by-step explanation:

P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)

Answer:

A long time

Step-by-step explanation:

A long time

Answer:

40 degrees

Step-by-step explanation:

m<3 = m<4

2x=80

x=40 degrees

Answer:

19a - 141
-------------
     18

Step-by-step explanation:

Combine multiplied terms into a single fraction

Combine multiplied terms into a single fraction

Multiply the numbers

Answer:

I think it is 60°

Step-by-step explanation:

b/c angle of triangle is 180° and when we divide 180° by 3 it will be 60°

Answer: 12

Step-by-step explanation:

to find this, divide 4 by 1/3:

4/(1/3) = 4x3 = 12

there are 12 1/3 cup servings in 4 cups

Answer:

Hey there!

Contains 4 cups of trail mix

He wants 1/3 go cup servings

=> 4 ÷ 1/3

=> 4×3/1

=> 12

Therefore, there are 12 of 1/3 in 4 cups

The critical values of Z in this study are given by: Option C: -1.96 and 1.96

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

For this case, we want to know if the two groups of teachers had different levels of job satisfaction.

Suppose that we have:

Then, as the test is for checking if the difference exist, the null hypothesis will deny existence of any difference.

Thus, we get:

The alternate hypothesis creates two regions, on either side as:

[tex]\mu_1 < \mu_2[/tex] and [tex]\mu_1 > \mu_2[/tex]

This is why it is two tailed test.

The level of significance is 5% specified.

Thus, [tex]\alpha = 5\% = 5/100 = 0.05[/tex]

From the critical values table, the critical value(s) of Z for level of significance 0.05 and for two tailed test are: [tex]\pm 1.96[/tex]

Thus, the critical values of Z in this study are given by: Option C: -1.96 and 1.96

Learn more about hypothesis testing here:

https://brainly.com/question/18831983

Answer:

Step-by-step explanation:

its option B

Answer:

Step-by-step explanation:

All we have to do is apply the Pythagorean theorem which states that a²+b²=c²

where c is the hypotenuse of the triangle or the side facing the 90° angle.

Moreover a & b are the other two sides of the triangle.

[tex]11 {}^{2} = {9}^{2} + h {}^{2} [/tex]

where h is the height from the ground

[tex]121 = 81 + {h}^{2} [/tex]

[tex]h {}^{2} = 121 - 81[/tex]

[tex]h {}^{2} = 40[/tex]

[tex]h = \sqrt{40} = 6.324[/tex]

Rounding to the nearest tenth,

[tex]h = 6.3[/tex]

Answer:

1

Step-by-step explanation:

you gotta add

Answer:

D: no real solutions

Step-by-step explanation:

Answer:

(-1, -6)

Step-by-step explanation:

If you do rise over run you get the same slope as 8x+7y=-50

Answer:

15x^3y+6x^2y^2+9xy^3

Step-by-step explanation:

3xy ( 5x^2 +2xy +3y^2)

Distribute the 3xy to all terms in the parentheses

3xy*5x^2+3xy*2xy+3xy*3y^2

15x^3y+6x^2y^2+9xy^3

Answer:

15[tex]x^{3}[/tex]y + 6[tex]x^{2}[/tex][tex]y^{2}[/tex] + 9x[tex]y^{3}[/tex]

Step-by-step explanation:

multiple everything in the brackets by 3xy

3xy x 5[tex]x^{2}[/tex] = 15[tex]x^{3}[/tex]y

3xy x 2xy = 6[tex]x^{2}[/tex][tex]y^{2}[/tex]

3xy x 3[tex]y^{2}[/tex] = 9x[tex]y^{3}[/tex]

15[tex]x^{3}[/tex]y + 6[tex]x^{2}[/tex][tex]y^{2}[/tex] + 9x[tex]y^{3}[/tex]

Answer:

Your answer is: 18p-5/30

To subtract fractions, find the LCD and then combine.

Step-by-step explanation:

Hope this helped : )

Answer:

Answer:

r≈ 5.9 cm

Step-by-step explanation:

Answer:

2, -5

Step-by-step explanation:

Answer:

(-5, -2)

Step-by-step explanation:

Rule for reflection over y = x :

(x, y) -> (y, x)

Answer:

all rational numbers

Step-by-step explanation:

24+3x=3x+2(3*4) shows that there can only be two possible answer, all integers or no solution. As you can see 2*3*4 is 24, making the answer all rational numbers.

Answer:

p = 23

q = 18

Step-by-step explanation:

The four interior angles of a square are all 90° each

 4p - 2 = 90

⇒ 4p = 92

⇒ p = 92 ÷ 4

⇒ p = 23

 5q = 90

⇒ q = 90 ÷ 5

⇒ q = 18

Answer:

p=23; q=18.

Step-by-step explanation:

1) m∠(XWZ)=90, then 4p-2=90 and p=23°;

2) m∠(WZY)=90, then 5q=90 and q=18°.

Answer:

c; 54

Step-by-step explanation:

to find the answer you can first add all the books together

this can be represented by

3 + 2 + 2.5 + 1.5

this answer is 9

then multiply it by 6

9 * 6 = 54

is is c

Answer:

Step-by-step explanation:

The general equation is y = mx + b

You already have m which is the slope. So the general equation becomes y = -5x + b

The point is meant to find b

x = - 4

y = 7

7 = - 5*-4 + b

7 = 20 + b                         Subtract 20 from  both sides.

7 - 20 = 20-20 + b           Combine

- 13 = b

Answer: y = - 5x - 13

The value of x that will make the considered parallelogram ABCD a rhombus is 4 units.

Rhombus is a parallelogram whose all sides are of equal lengths.

For this problem, the missing figure is attached below.

We see that the angle between the diagonals is [tex](3x- 12)^\circ[/tex]

It is given that ABCD is a parallelogram.

For ABCD parallelogram to be a rhombus, its diagonals need to be perpendicular to each other.

Perpendicular lines have 90° angle between them.

Thus, we need:

[tex](3x- 12)^\circ = 90^\circ[/tex]

Evaluating value of x:

[tex](3x- 12)^\circ = 90^\circ\\3x - 12 = 90\\\text{Adding 12 on both the sides}\\3x = 102\\\text{Dividing both the sides by 3}\\\\x = 12/3 = 4[/tex]

Thus, the value of x is 4

Learn more about rhombus here:

https://brainly.com/question/1542707

Answer:

ANSWER:   x=34

Step-by-step explanation:

E2020

[tex]\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}[/tex]

Check the picture below.

Answer:

2/a^7

Step-by-step explanation:

Answer:

it is B. increasing

Answer:

C.it is a constant

Step-by-step explanation:

Hope this helped!

Please mark me as brainliest!

Answer:

525

Step-by-step explanation:

i really dont know what it asking

Answer:

Ok, first of all, that's not an inequlity. An inequality includes < or >, and also ≤ or ≥. 7 is not an inequality, so perhaps you made a mistake typing the question?

Step-by-step explanation:

Answer:

18 hours after 10 AM

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.