write the expression for 5 minus q

Answer:

y=-8, x=6

Step-by-step explanation:

Hope this helped!!!

Answer:

Step-by-step explanation:

4. odd number, odd number

5. 2, 3

6. 1, 3

7. 7, 1

Answer:

A person jumping on a trampoline

Answer:

(gof)(x) = x² + 2x + 1

Step-by-step explanation:

You can solve this by plugging  f into g and finding the result:

(gof)(x) = f(x)²

= (x + 1)²

= x² + 2x + 1

Answer:

x<9

Step-by-step explanation:

Answer:

F $1800

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 15000 × 0.04 × 3 = 1800

I = $ 1,800.00

The simple interest accumulated

on a principal of $ 15,000.00

at a rate of 4% per year

for 3 years is $ 1,800.00.

Answer:

F. $1800

Step-by-step explanation:

Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.

The following formula can be used to describe this scenario,

[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]

Substitute,

[tex]=(3)((15000)(4))[/tex]

To convert a percent to decimal form, divide the percent by (100)

[tex]=(3)((15000)(0.04))[/tex]

[tex]=(3)(600)\\\\=1800[/tex]

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

Answer:

[tex]P(n>55)=0.1357[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=100

Sample space n'=36

Generally the equation for the mean number of times odds appears is mathematically given by

[tex]\=x_o=hp[/tex]

[tex]\=x_o=100*0.5[/tex]

[tex]\=x_o=50[/tex]

Generally the equation for standard deviation is mathematically given by

[tex]\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}[/tex]

[tex]\sigma=5[/tex]

Therefore probability to make wrong decision P(n>55)

[tex]P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86[/tex]

[tex]P(n>55)=0.1357[/tex]

An approximation for the probability that you will make the wrong decision is 0.1587.

S=Number of time that the result was odd

n=100

p=0.5

Hence:

E[S]=100×0.5

E[S]=50

Standard deviation=√100×0.5×0.5

Standard deviation√25

Standard deviation=5

Using normal approximation to the binomial

P(S≥55)=P(S-50/5 ≥ 55-50/5)

P(S≥55)=1-P(z ≤ 1)

P(S≥55)=1-0.8413

P(S≥55)= 0.1587

Inconclusion  an approximation for the probability that you will make the wrong decision is 0.1587.

Learn more about probability here:https://brainly.com/question/24756209

Answer:

The total cost as $96

Step-by-step explanation:

To find the total amount find the tax amount and the tip amount

75 * 8% = 6

75 * 20% = 15

add 6 and 15 to 75 to get 96

Answer:

ok

Step-by-step

ok

Answer:

C IS THE ANSWER

1 + 1 = 2

At first, I thought that the 1 and the other 1 meant a ten and a one, so I decided it would be 11. But soon, a classmate of mine told me it was 25. I divided it with 1 and it is divisible! And since division is also changing the numbers, I figured it would be correct that it is 25. But as I worked it out, I realized that the answer was 2. Because if you put 1 stick and add another 1, you will get 2

Hope it helped!

9514 1404 393

Answer:

  B  550 tickets

Step-by-step explanation:

50% of 1100 tickets were sold the first two days.

  0.50 × 1100 = 550

550 tickets were sold the first two days.

Answer:

Step-by-step explanation:

Answer:

5 outfits

Step-by-step explanation:

The number of many different outfits does Sarah have to choose from should be 32.

Since  She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.

So here the number of distinct outfits should be like

[tex]= 2\times 8 \times 2[/tex]

= 32

hence, The number of many different outfits does Sarah have to choose from should be 32.

Learn more about number here: https://brainly.com/question/24604425

Answer:

The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

Hello some data related to your question is missing attached below is the missing data

a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )

b) ( 3.819 , 8.5226 )

Step-by-step explanation:

Applying the Given data:

The test hypothesis :

H0 : μ1 = μ2

Ha : μ1 > 2

A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures

B ) construct and interpret

next calculate the SP value

[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]

where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551   ( input values into equation above )

∴ [tex]S^{2} _{p}[/tex] = 39354491.3716

hence : [tex]S_{p}[/tex] = 6273.32

next calculate the value of test statistic

to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]

where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100  ( input values into equation above )

to = 6705 / 1086.5702 = 6.1708

Df ( degree of freedom ) = n1 + n2 - 2 = 148

critical value at ∝ = 0.01  = ± 2.3518  ( using excel function : T.INV(0.01,148) )

hence the confidence Interval

= ( 6.1708 ± 2.3518 )

= ( 3.819 , 8.5226 )

For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).

Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.

                                   Politicians        EMT's

Mean                            $61,234       $54,529

Standard deviation      $7524          $5551

n                                      50                100

The hypothesis for the test,

[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]

No it is not justifies, as the null hypothesis is rejected.

The pooled estimate of a common population standard deviation can be given as,

[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]

Put the values in the above formula from the table, we get,

[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]

Use the formula of test statistics for equal variance as,

[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]

Put the values from the table as,

[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]

The degree of freedom can be given as,

[tex]DF=100+50-2\\DF=148[/tex]

The critical value for 99 percent interval (0.01) is ±2.3518.

Hence, the confidence interval for this two values is (6.1708, ±2.3518).

Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).

Learn more about the random sample here;

https://brainly.com/question/17831271

I can't read these but is this a school issued textbook of some sort? I might be able to help if so *MIGHT*

Answer:

DID NOT INCLUDE THE ONES I CANT SEE. 3.A   8.A    9.B    10.B   11.D   12.A   13.A .  14.B   16.D   17.C   18.B    19.A     20.A(Not 100% sure on 20)

Step-by-step explanation:

Dont have time to explain

Answer:

8y−56z+8

Step-by-step explanation:

Answer:its A

Step-by-step explanation:

I ask my teacher so its A

Answer:

s ≤ 20

Step-by-step explanation:

The speed limit refers to the maximum velocity a vehicle is allowed to move. Therefore, for a certain street like the one in the scenario abive, with a speed limit of 20 miles per hour, then, the maximum allowable speed on the highway is 20 miles per hour. Meaning vehicles can move at that speed or below. However, moving above that speed is a violation of the speed limit rule. Hence. The speed limit could be represented by the inequality :

Speed limit is less than or equal to 20 miles per hour

S ≤ 20

In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].

Answer:

Step-by-step explanation:

Hope this helps

Answer: 5/2 because 2/5 times 4 is 8/2 plus 1/2 is 9/2

Step-by-step explanation:

Answer:

C) 3.61 units

Step-by-step explanation:

5 - 3 = 2

7 - 4 = 3

distance²  = 2² + 3³ = 4 + 9 = 13

distance = √13 = 3.61