Find the equation of the line that contains the point (-1,-7) and is parallel to the line 6x+5y=11. Write the equation in slope-intercept form, if possible.

UCF students pay an average of 1,236 dollars for books. The standard deviation of costs of books is sigma = 101 dollars. Select 36 UCF students at random.

The probability is 0.025.

Explanation:

To find the probability that the mean cost of books for 36 UCF students exceeds 1,236 + 1.96(101/6), follow these steps:

1. Calculate the target mean:

1,236 + 1.96(101/6) = 1,236 + 32.99 ≈ 1,268.99.

2. Determine the standard deviation of the sample mean:

σ_sample = σ/√n = 101/√36 = 101/6 ≈ 16.83.

3. Calculate the z-score

: z = (target mean - population mean) / σ_sample =

(1,268.99 - 1,236) / 16.83 ≈ 1.96.

4. Use a standard normal table or a calculator to find the probability that the z-score is greater than 1.96.

This is 1 - P(Z ≤ 1.96) = 1 - 0.975 = 0.025.

So, the probability that the mean cost of books for 36 UCF students exceeds 1,236 + 1.96(101/6) is 0.025 or 2.5%.

To know more about probability:

https://brainly.com/question/11034287

#SPJ11

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

Answer:

I think the answer is D (The water in the tank is decreasing at a rate of 5 gallons per minute).

Step-by-step explanation:

As we can see here, the water in the tank is decreasing at a rate of 10 gallons per 2 minutes.

That would be 2/10. Reduce 2/10 and you will get 1/5. So the final answer would be that the water in the tank is decreasing at a rate of  5 gallons per minute.

Answer:

Mode of 3 median of 6, mean of 6, range of 8

Step-by-step explanation:

3, 3, 6, 7, 11

Ansswer:

7,000

Step-by-step explanation:

41,000 - 34,000 = 7,000

The sales tax rate in Sacramento, California is 8.5%

sales tax can be found using the formula:

sales tax = Tax / Subtotal x 100%

Solving gives:

sales tax = 0.85 / 10 x 100%

sales tax = 8.5%

In conclusion, the sales tax rate is 8.5%.

To learn more about sales tax with the given link

https://brainly.com/question/331633

#SPJ4

(0.82 , 3.38) is estimate of the population mean weight loss for this diet in standard deviation.

What is standard deviation in math?

mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0

Learn more about standard deviation

brainly.com/question/13905583

#SPJ4

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

To learn more about the hypothesis;

brainly.com/question/29519577

#SPJ1

The complete question is given in the image.

Answer: B (x + 0 = 1)

Step-by-step explanation:

Let's start with what we know:

-9x + y = 10 and

10x - y = -9

Luckily we have everything lined up for us.

-9x + 10x = 1x

y + (-y) = 0

10 + (-9) = 1

So when putting these terms together

1x + 0 = 1 or

x + 0 = 1.

Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

Learn more about arithmetic operations from the given link

https://brainly.com/question/30283549

#SPJ1

The radius of the circle inscribed in a 9-12-15 triangle is 3 units

The radius of a circle inscribed in a 9-12-15 triangle can be found using the formula for the inradius (r) of a triangle:

r = A/s

where A is the area of the triangle, and s is the semi-perimeter of the triangle.

Step 1: Find the semi-perimeter (s)
s = (a + b + c) / 2
s = (9 + 12 + 15) / 2
s = 36 / 2
s = 18

Step 2: Find the area (A) of the triangle using Heron's formula:
A = √(s(s-a)(s-b)(s-c))
A = √(18(18-9)(18-12)(18-15))
A = √(18(9)(6)(3))
A = √(2916)
A = 54

Step 3: Find the inradius (r) using the formula r = A/s:
r = 54 / 18
r = 3

Therefore, the radius of the circle inscribed in a 9-12-15 triangle is 3.

TIP:  A circle inscribed in a triangle is a circle that touches all three sides of the triangle exactly once, and it is positioned entirely within the triangle.

#SPJ11

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

28 pages per day

Step-by-step explanation:

126 divided by 4.5 = 28

I hope this helps :3

Answer:

((−3r^3)(s^5))2−r^6s^10

=9r^6s10+−r^6s^10

Combine Like Terms:

=9r^6s^10+−r^6s^10

=(9r6s10+−r6s10)

=8r6s10

Answer:

=8r^6s1^0

Step-by-step explanation:

Answer:

\(8 {r}^{6} {s}^{10} \)

Step-by-step explanation:

\(( - {3r}^{3} {s}^{5} {)}^{2} - {r}^{6} {s}^{10} \)

\(9 {r}^{6} {s}^{10} - {r}^{6} {s}^{10} \\ 8 {r}^{6} {s}^{10} \: (collect \: the \: like \: terms)\)

Answer:

Option D

Step-by-step explanation:

Area of trapezium = sum of 2 parallel sides × height / 2

Here the two parallel sides are = 8 in. and 12 in.

And height = 7 in.

∴ Area of the trapezium = ( 8 + 12 ) × 7 / 2

= 20 × 7 / 2

=70 in^2

Hope this helps

plz mark as brainliest!!!!!!!!

Answers:

A.

C.

F.

I think that is all of them.

Answer: Its E And A

Step-by-step explanation:

The chemist must use 12 ml of the 11% acid solution and 42 ml of the 20% acid solution to make a solution of quantity 54 ml of 18% concentration acid solution.

It is already given that the chemist wishes to make a solution of 54 milliliters of 18 percent concentration using two different solutions of concentration 11% and 20% each.

Now let us consider that the quantity of acid to be present in the final solution is (18/100)×54 = 9.72 ml

If we consider that x ml of 11% solution and y ml of 20% solution are added, then following relations can be obtained:

Total volume of x and y in the final solution = x + y = 54 ...(1)

Considering the concentration of acid and its volume, the following equation is formed:

0.11x + 0.2y = 9.72 ...(2)

Solving the equations (1) and (2) for the value of x and y, we get:

x = 54 - y

∴ 0.11(54 - y) + 0.2y = 9.72

⇒ 5.94 - 0.11y + 0.2y = 9.72

⇒ 0.09y = 3.78

⇒ y = 42 ml

Putting the value of y in equation (1), we get

x = 54 - y

x = 54 - 42 = 12 ml

Learn more about concentration at:

brainly.com/question/29437746

#SPJ4

Answer:

376.81

Step-by-step explanation: 376.81

Answer:

see explanation

Step-by-step explanation:

the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is

x + x + 2 + x + 4 = 72 , that is

3x + 6 = 72 ( subtract 6 from both sides )

3x = 66 ( divide both sides by 3 )

x = 22

x + 2 = 22 + 2 = 24

x + 4 = 22 + 4 = 26

the 3 consecutive even integers are 22, 24 , 26

Answer:

HI! I think the answer is 4.

Answer:

4/5 = 4 x 1/5

Step-by-step explanation:

Since we can write 4 as 4/1, that means 4 is the answer. This is because you multiply the top numbers and the bottom numbers, 4x1 is 4, and 1x5 is 5, so that means the answer is 4 since that problem got us 4/5.

Answer:

12s - 16t

Step-by-step explanation:

2(3s + t) + 2(3s - 9t)

6s + 2t + 6s - 18t

12s + 2t - 18t

12s - 16t

Answer:Perimeter of the rectangle =(12s -16t)centimeters.

Step-by-step explanation:

The perimeter of a rectangle is given as 2(l+w)

Given that  width of the  rectangle=(3s+t)centimeters. and

Length of the  rectangle=(3s-9t)centimeters.

Solving we have

Perimeter= 2(l+w)

Perimeter=2(3s+t +3s-9t)

Perimeter=2(3s+3s -9t+t)

Perimeter=2(6s-8t)

Perimeter=(12s -16t)centimeters.

See related queston here : https://brainly.com/question/17288503

Answer:

1.)  20 yrs --> $1,045.63

    30 yrs --> $1,204.08

2. See the attachment

3. See the attachment

Step-by-step explanation:

Please find the attachment for detail

Answer:

i think its b, 4cm

Step-by-step explanation:

Answer:

=>1

=> \(\frac{-3}{-3}\)

=> Simplify:minus and minus simplify each other and so do 3 and 3

=> So were are left with 1

Thus,the answer is 1

Step-by-step explanation:

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Answer:

Slope = -3

Y-intercept = 2

Answer is A

Step-by-step explanation:

Y intercept is the point where the line hits the vertical line and for the slope you can use the formula m=rise/run which is m=y2-y1/x2-x1

Answer:

5/4

Step-by-step explanation:

Slope is y1-y2/x1-x2 so if you plug in the coordinates you get 4-(-1)/4-0 which you would get 5/4