Problem Solving
Find the exact solution of each equation for 0 and greater than or equal to q and less than 2pi.
4 cos^2q=3

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

Answer:

Null Hypothesis: H0: Defective defense missiles not more than 6%

Alternate hypothesis: Ha: Defective defense missiles are greater than 6%

Step-by-step explanation:

The null hypothesis is the problem statement and the alternate hypothesis is a contradiction of null hypothesis

Hence,

Null Hypothesis: H0: Defective defense missiles not more than 6%

Alternate hypothesis: Ha: Defective defense missiles are greater than 6%

Answer:

REVENGE

Step-by-step explanation:

Answer:

a. T² - T¹ = d ( A. P) -5

b. T²/T¹ = r (G. P) 3/4

Step-by-step explanation:

a. 15 - 20 = -5

b. 15/20 = 3/4

Answer:

This is an arithmetic sequence and the common difference is equal to -5.

Answer:

It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.

Step-by-step explanation:

This question is solved by rates, using a rule of three.

52 miles in one hour. How many hours for 247 miles?

1 hour - 52 miles

x hours - 247 miles

Applying cross multiplication:

[tex]52x = 247[/tex]

[tex]x = \frac{247}{52}[/tex]

[tex]x = 4.75[/tex]

It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.

Answer:

0.3128

Step-by-step explanation:

H0 : p ≤ 0.28

H0 : μ > 0.28

The test statistic :

(phat - p) ÷ √(pq / n)

q = 1 -p = 1 - 0.28 = 0.72

phat = 0.30

(0.30 -0.28) ÷ √((0.28*0.72) / 120)

0.02 ÷ 0.0409878

Test statistic = 0.48795

Using the Pvalue from test statistic calculator :

Pvalue(0.05, right tailed) = 0.3128

Answer:

28408

Step-by-step explanation:

212x134=28408

Answer:

20

Step-by-step explanation:

5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.

(3/4) x (5/5)

(2/5) x (4/4)

Giving you 15/20 and 8/20

Answer:

http://maggieevans.weebly.com/uploads/8/3/6/6/8366984/unit_2_test_review_answers.pdf

Step-by-step explanation:

The link is there it might have some other answers scroll down on the page link. No this is not a scam i promise <3

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4[/tex]

12b + 4 is in the form nb + m, where,

So,

[tex] = n + m \\ = 12 + 4 \\ = 16[/tex]

✐ 16 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

[tex]p\ =\ 92[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

[tex]p =23; q=4[/tex]

Required

Find p, when [tex]q = 2[/tex]

We have:

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

Express as equation

[tex]p\ =\ \frac{k}{q^2}[/tex]

Make k the subject

[tex]k =pq^2[/tex]

When: [tex]p =23; q=4[/tex]

[tex]k =23 * 4^2[/tex]

[tex]k =368[/tex]

When [tex]q = 2[/tex], we have:

[tex]p\ =\ \frac{k}{q^2}[/tex]

[tex]p\ =\ \frac{368}{2^2}[/tex]

[tex]p\ =\ \frac{368}{4}[/tex]

[tex]p\ =\ 92[/tex]

Answer:

The GMAT score corresponding to the 16th percentile is 473.

Step-by-step explanation:

Empirical Rule.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

68% of the measures within 1 standard deviation of the mean.

This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).

In this question:

Mean of 549, standard deviation of 76.

16th percentile:

One standard deviation below the mean, so 549 - 76 = 473.

The GMAT score corresponding to the 16th percentile is 473.

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ2

Answer:

Vertex of a quadratic function (formula)

Step-by-step explanation:

Answer:  B:  3x + 4 = 3(x - 5)   (has no solution)

Step-by-step explanation:  (these have solutions)

C:        X+ 6 = 6x = 6/5

A:      x + 3 = 5(x+3) = −3

D:        5x + 2 = 4x - 3  =   −5

9514 1404 393

Answer:

  A(m) = 10000×1.10^m; 10% monthly interest

Step-by-step explanation:

If t is the time in years and m is the corresponding time in months, then we have ...

  m = 12t

  t = m/12

So, the balance is ...

  A(t) = 10000×3.138^t

  A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m

  A(m) = 10000×1.10^m

The monthly interest rate is 10%.

_____

The monthly growth factor 1.10 is 1 more than the monthly growth rate.

  growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.

Answer:

D. 44.55

Step-by-step explanation:

if you multiply 4.95x9 you get D

Answer:

the answer is D

Step-by-step explanation:

Since each is 4.95 multiply 4.95 x 9 = 44.55

hope this helps

enjoy

Answer:

3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Secant-Secant Formula:(whole secant) x (external part) =

       (whole secant) x (external part)

4 *(9) = x *(12)

36  =12x

Divide each side by 12

36/12 = 12x/12

3 =x

Answer:

y = 1/3x + 4 1/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]6y = - 2x + 12 \\ 3y = - x + 6 \\ y = - \frac{1}{3} x + 2[/tex]

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]

0.0713 = 7.13% probability that the result is positive.

Answer:

Problematic is that - only one factor should be analysed at a time. However she has considered both.

Step-by-step explanation:

Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.

In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.

She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.

If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.

This is Right answer....

Answer:

C) 2/3

Step-by-step explanation:

The 2 represents the two Jerry picked out and the 3 represents the total amount of marbles.

Hope this helped :)

Answer:

A.   1/3

Step-by-step explanation:

Chance of red on one marble

2/3

Chance of red on second marble

1/2

Chance both red

2/3 * 1/2 = 1/3

Answer:

B. 14/18 = 21/27 = 7/9

Step-by-step explanation:

I calculated it logically

Answer:

An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:

A = (1/2)*(Perimeter)*(Apothem)

The perimeter of the regular polygon  is just the length of one side multiplied with the number of sides. Since a polygon with   9 sides,

P = 9(15) = 135in

A = 1/2 ×135 × 12

A = 810 square inches ans

If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another