Prove the following identity : csc4x−cot4x=csc2x+cot2x .

Using the normal distribution, it is found that there is a 0.6406 = 64.06% probability that the company will have to refund money to a customer.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, it is found that the mean and the standard deviation are, respectively, given by [tex]\mu = 13[/tex] and [tex]\sigma = 2.75[/tex].

The probability it lasts less than 14 years is the p-value of Z when X = 14, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14 - 13}{2.75}[/tex]

[tex]Z = 0.36[/tex]

[tex]Z = 0.36[/tex] has a p-value of 0.6406.

0.6406 = 64.06% probability that the company will have to refund money to a customer.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

Two sample test of paired means with unknown variance (standard deviation)

Step-by-step explanation:

Answer:

1 error / about 8 minutes and 30 seconds

Step-by-step explanation:

1/8.5                    Divide the fraction by 7.

By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.

Exact answer: 1/8.571428 repeated

Rounded answer: 1/8.56

Answer:

A

Step-by-step explanation:

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Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are respectively, given by: [tex]\mu = 425, \sigma = 110[/tex]

The proportion of students that would be expected to score between 350 and 550 is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 350, hence:

X = 550:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{550 - 425}{110}[/tex]

[tex]Z = 1.14[/tex]

[tex]Z = 1.14[/tex] has a p-value of 0.8729.

X = 350:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{350 - 425}{110}[/tex]

[tex]Z = -0.68[/tex]

[tex]Z = -0.68[/tex] has a p-value of 0.2483.

0.8729 - 0.2483 = 0.6246

62.46% of students would be expected to score between 350 and 550.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

6/6 x 3/5, 1/4 x 3/5, 1 2/5 x 3/5, 2 x 3/5

Hope this helps

Step-by-step explanation:

Answer: 14 dollar discount

Step-by-step explanation:

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.

— — — — — — — — — —

Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,

Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.

_______________∞_______________

Using the vertex of the quadratic equation, it is found that the company should assign 5 programmers in order to complete the development as quickly as possible.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the time needed for x programmers to finish the project is given by:

T(x) = 100 - 30x + 3x².

Which means that the coefficients are a = 3, b = -30, c = 100. The number of programmers which will minimize the time is given by:

[tex]x_v = -\frac{-30}{6} = 5[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Answer:

1200 km

Step-by-step explanation:

Just multiply by 20

Answer: C. $1071.30

Step-by-step explanation:

I got this answer by subtracting $174 and $54.70 because those are the federal and state biweekly deductions from her income of $1300.

Answer:

C

Step-by-step explanation:

Just took the quiz and got this right.

Answer:

Slope = -1/2.

Step-by-step explanation:

2 points on the line are (10, 0) which is where the line passes through the x-axis and (0, 5 ) where it passes through the y-axis.

The slope = (difference in y coordinates) / ( corresponding difference in  x coordinates)

= (5 - 0) / (0 - 10)

= -5/10

= -1/2.

The car gets 46 miles per gallon in the city.

Divide total miles driven in th city by miles per gallon to find total number of gallons of gas used:

10,000 miles / 46 miles per gallon = 217.3913 gallons of gas used.

Now multiply gallons used by price per gallon:

217.3913 x $1.75 = $380.43 per year

Answer:

[tex]\displaystyle \perp\:y = -\frac{4}{7}x + 6\frac{4}{7} \\ \parallel\:y = 1\frac{3}{4}x - 12[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 1¾ becomes −⁴⁄₇, and we move forward:

[tex]\displaystyle 2 = -\frac{4}{7}[8] + b \hookrightarrow 2 = -4\frac{4}{7} + b; 6\frac{4}{7} = b \\ \\ \boxed{y = -\frac{4}{7}x + 6\frac{4}{7}}[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 1¾ remains as is as we proceed:

[tex]\displaystyle 2 = 1\frac{3}{4}[8] + b \hookrightarrow 2 = 14 + b; -12 = b \\ \\ \boxed{y = 1\frac{3}{4}x - 12}[/tex]

I am joyous to assist you at any time.

Answer: X = 15  

Explanation:

Well, If 12 equals X minus 3 then we first must flip the signs.

which is adding. So we take 12 and add 3 which would get us 15.

Double check  :  15 (X) - 3 = 12

Answer:

$20.93

Step-by-step explanation:

2.99 x 7= 20.93

Answer:

it is 48

Step-by-step explanation:

the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48

and it would be 480.00$

Answer:

45

Step-by-step explanation:

530 use division 12 equals ,44.166 so round up

Answer:

15.4z−12

Step-by-step explanation:

Distribute:

7.4z+(−5)(−1.6z)+(−5)(2.4)

7.4z+8z+−12

Combine Like Terms:

7.4z+8z+−12

(7.4z+8z)+(−12)

15.4z+−12

Answer:

12*(x-1)

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)

STEP

1

:

Simplify 12/5

Equation at the end of step

1

:

4x-(5•((0-(16/10•x))+12/5))

STEP

2

:

Simplify 8/5

Equation at the end of step

2

:

4x - (5 • ((0 - (8/5 • x)) + 12/5))

STEP

3

:

Adding fractions which have a common denominator :

3.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-8x + 12 /5 = 12 - 8x/5

Equation at the end of step

3

:

4x - (5 • (12 - 8x)/5)

STEP

4

:

STEP

5

:

Pulling out like terms :

5.1 Pull out like factors :

12 - 8x = -4 • (2x - 3)

Equation at the end of step

5

:

4x - -4 • (2x - 3)

STEP

6

:

STEP

7

:

Pulling out like terms :

7.1 Pull out like factors :

12x - 12 = 12 • (x - 1)

Final result :

12 • (x - 1)

Answer:

y = 25x +100

He will collect 275 pounds in 7 weeks

It will take him 12 weeks.

Hope this helps!

[tex][Hello,BrainlyUser!\; I'm\;Lenvy][/tex]

[tex]Your\;Answer\;Is\;Below[/tex]

Answer:

42 feet

Step-by-step explanation:

First let know what is

Yards to Feet

Note that;

1 Yard ⇒ 3 Feet

Thus, Formula: Multiply the length value by 3

Given:

Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?

Therefore, 14 * 3 = 42

Hence, Answer is Lena brough 42 feet of ribbon.

~[CloudBreeze]~

Answer:

42 feet

Step-by-step explanation:

Important Info:

Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?

Notice it say how many feet..

Therefore, Let's first know what yards to feet..

1 Yard → 3 feet

Since we know that We can Solve now:

To Find how many feet of ribbon she buy let's multiply;

14 x 3  = 42

or

14 + 14 + 14 = 42

Hence, Knowing that Lena brought 42 ribbon in feet.

[RevyBreeze]

Answer:

100x5

1x9

.1x1

Step-by-step explanation:

Answer:

Your correct answer is 32.

Step-by-step explanation:

175 percent (calculated percentage %) of what number equals 56?

Answer: 32

A number 98 is 175 percent of 56.

We have to given that,

To find a number which is 175% of 56.

Let us assume that,

A number which is 175% of 56 is, x

Hence, We can write as,

x = 175% of 56

x = 175/100 × 56

x = 1.75 × 56

x = 98

Therefore, The solution is, 98

Learn more about the percent visit:

https://brainly.com/question/24877689

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Answer:

The first one is : B. 12

The second one is: B. 4

Step-by-step explanation:

1 Explained:

12 * 3 = 36

36 - 24 = 12

Therefore if he had taken 3 times as many he would have had 36. And 36 is 24 more than 12.

2 Explained:

blue + green + yellow = 240

120 + 40= 160

240 - 160= 80

Yellow= 80

120/20= 6

40/20= 2

80/20= 4

6 blue

2 green

4 yellow

12 in total.

Answer:

65 degrees

Step-by-step explanation:

Since the two straight lines are parallel, this means that Angle 1 and the 65 degrees angle are alternate interior angles; meaning that they're congruent.

So:

Angle 1 = 65 degrees

Hope this helps!

Please let me know if I'm incorrect :)

Answer:

The answer is 65  (degree symbol here)

Step-by-step explanation:

two interior angles on the inside of this shape will always be the same

Answer:

The answer is D

Step-by-step explanation:

Given : Number 35,187.

To find : In which number does the 5 represent a value 10 times the value represented by the 5 in number ?

Solution :

According to place value system,

Ten Thousand     Thousand      Hundred     Tens      Ones

      3                         5                    1                8             7

The 5 value is at thousand.

A value 10 times the value represented by the 5 in 35,187 is given by any number placed in ten thousand place.

Therefore, The answer is D

Answer:

"B"

Step-by-step explanation:

The "5" Starts at the place of the "1" and

moves up by one because the "0" in the 10 to make

"B"'s Answer.

Let me know if you elaboration!

Answer: upper bound = 89.36 and lower bound = 94.64

Step-by-step explanation:

Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where [tex]\overline{x}[/tex] = sample mean , n= sample size , z* = two-tailed critical value, [tex]\sigma[/tex]= population standard deviation

As per given , we have

[tex]\overline{x}[/tex] = 92

n =  55

[tex]\sigma[/tex]= 10

Critical value for 95% confidence interval = 1.96

Required confidence interval :  [tex]92\pm (1.96)\dfrac{10}{\sqrt{55}}[/tex]

[tex]92\pm (1.96)(1.3484)\approx92\pm2.64\\\\= (92-2.64,\ 92+2.64)\\\\=(89.36,\ 94.64)[/tex]

Hence, for 95% confidence interval for the mean IQ of primary school students:

upper bound = 89.36 and lower bound = 94.64

Answer:

Step-by-step explanation:

Answer:

there is no figures could you please um take picture so we can help