Write 2(6² + 4²) as the sum of two perfect square.

Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

Where z is the standard value, x is the original value, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation. So we have that:

standard value of 900: [tex]z = \frac{900 - 750}{75} = 2[/tex]

standard value of 975: [tex]z = \frac{975 - 750}{75} = 3[/tex]

Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

z = 2 -> p_2 = 0.9772

z = 3 -> p_3 = 0.9987

We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

Answer:

2.35 babyyyyyyyyyyy

Step-by-step explanation:

Acellus sux

Answer:

Step-by-step explanation:

( x² + 3 ) ( x³ - x² + 4 )

Multiply the second parentheses by each term from the first parentheses

x² ( x³ - x² + 4 ) + 3 ( x³ - x² + 4 )

Distribute x through the parentheses

x⁵ - x⁴ + 4x² + 3 ( x³ - x² + 4 )

Distribute 3 through the parentheses

x⁵ - x⁴ + 4x² + 3x³ - 3x² + 12

Collect like terms

x⁵ - x⁴ + x² + 3x³ + 12

Use the commutative property to reorder the terms

x⁵ - x⁴ + 3x³ + x² + 12

Hope this helps..

Best regards!!

Answer:

x^5-x^4+3x^3+x^2+12

Step-by-step explanation:

Mulitply each term:

x^5-x^4+4x^2+3x^3-3x^2+12

Now simplify.

x^5-x^4+3x^3+x^2+12

I hope this helps....

Please mark me brainliest!!

Answer:

P(X > 112) = 0.21186.

Step-by-step explanation:

We are given that the random variable X is normally distributed, with mean [tex]\mu[/tex] = 100 and standard deviation [tex]\sigma[/tex] = 15.

Let X = a random variable

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 100

            [tex]\sigma[/tex] = standard deviaton = 15

Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)

      P(X > 112) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{112-100}{15}[/tex] ) = P(Z > 0.80) = 1- P(Z [tex]\leq[/tex] 0.80)

                                                       = 1 - 0.78814 = 0.21186  

The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.

Answer:

20

Step-by-step explanation:

20 + (75% × 20) =

20 + 75% × 20 =

(1 + 75%) × 20 =

(100% + 75%) × 20 =

175% × 20 =

175 ÷ 100 × 20 =

175 × 20 ÷ 100 =

3,500 ÷ 100 =

35;

Answer:

15, 16, 17, 18

Step-by-step explanation:

29-14=15

15, 16, 17, 18 are less than or equal to 18

Answer:

Hi, there!!!!

See explanation in pictures.

I hope it helps you...

Answer:

The top left one.

Step-by-step explanation:

Fix this into y intercept form: y=mx+b

y>-3x-5

Because y is greater than 3x-5, the shaded area should be positive, so the top right and the bottom right will be eliminated. Now, looking at the y intercept which is the 'b' in the equation, it is -5. So the y intercept on the graph should be on negative 5, which means that the top left one is the correct answer!

Hope this helped, BRAINLIEST would really help me:)

Option 1 is the correct choice.

We have a linear inequality -

6x + 2y > -10

We have to determine which of the following graphs depicts the inequality given above.

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

6x + 2y > -10

Add - 6x on both sides of inequality, we get -

- 6x + 6x + 2y > - 10 - 6x

2y > - 6x - 10

Dividing both sides of the inequality by 2, we get -

y > - 3x - 5

Now, in order to plot the graph for this inequality, let -

y = - 3x - 5

Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.

Consider the point (0, 0) -

Solve the inequality for the point (0, 0), we get -

0 > - 3 x 0 - 5

0 > - 5

Which is true.

Hence, shade the complete area on that side of line where the point

(0, 0) lies.

Therefore, Option 1 is the correct choice.

(Refer the image attached, for reference)

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Answer:

e =7.1

Step-by-step explanation:

[tex]Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1[/tex]

Answer:

0.5346

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (89 − 100) / 15

z₁ = -0.73

z₂ = (111 − 100) / 15

z₂ = 0.73

Find the probability.

P(-0.73 < Z < 0.73)

= P(Z < 0.73) − P(Z < -0.73)

= 0.7673 − 0.2327

= 0.5346

Answer:

544 + 545 + 546 + 547

explanation: if the numbers are consecutive whole numbers then it would be near the ¼ of the given number

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (4, 1 ), thus k = 1

Answer:

The answer is 45 inches².

Step-by-step explanation:

First, you have to find the area of each triangle:

[tex]area = \frac{1}{2} \times base \times height[/tex]

[tex]let \: base = 3 \\ let \: height = 6[/tex]

[tex]area = \frac{1}{2} \times 3 \times 6[/tex]

[tex]area = \frac{1}{2} \times 18[/tex]

[tex]area = 9 \: \: {inches}^{2} [/tex]

Assuming that the formula for surface area of pyramid is Surface area = base area(area of square) × 4(area of triangle):

[tex]base \: area = 3 \times 3 = 9[/tex]

[tex]area \: of \: triangle = 9[/tex]

[tex]s.a = 9 + 4(9)[/tex]

[tex]s.a = 9 + 36[/tex]

[tex]s.a = 45 \: \: {inches}^{2} [/tex]

Answer:

-2.2y - 1.8

Step-by-step explanation:

We are to simplify the expression:

1.2y + 4.5 - 3.4y - 6.3

Collect like terms:

1.2y - 3.4y + 4.5 - 6.3

Simplify:

-2.2y - 1.8

That is the answer.

Answer:

(7x^3+2y^3)(2x^3−7y^3)

Answer:

[tex]sec(\theta) \times cosec(\theta) = \dfrac{tan^2 (\theta)+ 1}{tan (\theta)} = tan (\theta)+ \dfrac{1}{tan (\theta)} = p + \dfrac{1}{p}[/tex]

Step-by-step explanation:

The given trigonometric relations are

tan(θ) = p

sec(θ)×cosec(θ) = p + 1/p

We note that, when tan(θ) = p, we have;

p + 1/p = tan(θ) + 1/(tan(θ)) = (tan²(θ) + 1)/tan(θ)

By trigonometric ratios, we have;

tan²(θ) + 1 = sec²(θ) =1/cos²(θ) which gives;

(tan²(θ) + 1)/tan(θ) = 1/cos²(θ) × 1/tan(θ)  = cos(θ)/sin(θ)×1/cos²(θ)  

[tex]\dfrac{1}{cos^2(\theta)} \times \dfrac{cos (\theta)}{sin( \theta)} = \dfrac{1}{cos(\theta)} \times \dfrac{1}{sin( \theta)} = sec(\theta) \times cosec(\theta)[/tex]

Therefore;

[tex]If \ tan (\theta) = p \ then \ sec(\theta) \times cosec(\theta) = p + \dfrac{1}{p}[/tex]

Answer:

duty = 64

Total cost is 224

Step-by-step explanation:

First find the cost of the 5 sets

5 * 32 = 160

Then find the duty

160 * 40%

160 * .4 =    64

Add this to the cost of the sets

160+64 =224

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.

Answer:

do you think you can send me the work for the program

Step-by-step explanation:

i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks

Answer:

4√mn/m^2

Step-by-step explanation:

√16n/m^3

= √16n/√m^3

= √4x4xn/√mxmxm

= 4√n/m√m

Rationalize by multiplying the numerator and the denominator by the denominator, which is a surd:

= (4√n x √m)/(m√m x √m)

= 4√mxn/m√mxm

= 4√mn/mxm

= 4√mn/m^2

Answer:

950.33 ft³

Step-by-step explanation:

The volume of a cylinder is denoted by: V = πr²h, where r is the radius and h is the height.

Here, the radius is r = 5.5 ft and the height is h = 10 ft. Plug these into the formula:

V = πr²h

V = π * 5.5² * 10 ≈ 950.33 ft³

The answer is thus 950.33 ft³.

~ an aesthetics lover

Answer:

As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.

Step-by-step explanation:

We will calculate speed of both the person in miles per hour and then compare the speeds.

Speed = distance/time

_____________________________________

For Heidi

Distance = 1/3 miles

time = 1/4 hour

speed = 1/3  ÷ 1/4 = 4/3 miles per hour = 1.33 miles per hour

_______________________________________

For Louis

Distance = 2/3 miles   (here it was given 23 miles but it appears to be 2/3 of a miles )

time = 1/2 hour

speed = 2/3  ÷ 1/2 = 4/3 miles per hour = 1.33 miles per hour

______________________________________________________

As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.

Answer:

52.7

Step-by-step explanation:

Of means multiply

85% * 62

.85 * 62

52.7

Turn the percentage into a decimal.

85% = 0.85

Multiply.

62 * 0.85 = 52.7

So, 52.7 is 85% of 62.

Best of Luck!

Step-by-step explanation:

The solution is the document i sent please check through.

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

Answer:

544 cups

Step-by-step explanation:

1 gallon consists of about 16.0047 cups, 34x16 is 544

Answer:

573 movies

Step-by-step explanation:

Here, we have 5 out of 6 movies having that cost

Therefore the rate we will be working with is 5/6

Now there are 687 new releases, the value that cost the given price range will be; 5/6 * 687 = 572.5 which is approximately 573

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Option d: 8 cm and 9 cm.

There is a theorem in mathematics stating:

" The sum of length of two sides of any triangle is greater than the rest third side"

According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.

The 4th option has 8 cm and 9 cm for which we have:

8 + 9 > 13

Thus this option follows the theorem.

Hence fourth option is correct.

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Answer: C

Step-by-step explanation:

A monomial is a expression where in it is x to the power of something, and x cannot be a denominator

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

⇒ Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

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Answer:

+3, 0

Step-by-step explanation:

y-intercept for f(x) is when x = 0, so it is +1, 0

y-intercept for g(x) is when x = 0, so it is +3, 0

y-intercept for h(x) is when x = 0, so it is -2, 0

The y-intercept of a function is the point where x = 0.

The ordered pair that represents the greatest y-intercept is (0,3)

The functions are given as:

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Set x = 0, and solve the functions

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

Substitute 0 for x

[tex]\mathbf{f(0) = |0 - 1| + 2}[/tex]

[tex]\mathbf{f(0) = |- 1| + 2}[/tex]

Remove absolute brackets

[tex]\mathbf{f(0) = 1 + 2}[/tex]

[tex]\mathbf{f(0) = 3}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

Substitute 0 for x

[tex]\mathbf{g(0) = (0 + 3)}[/tex]

[tex]\mathbf{g(0) = 3}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Substitute 0 for x

[tex]\mathbf{h(0) = (0 + 1) - 3}[/tex]

[tex]\mathbf{h(0) = 1 - 3}[/tex]

[tex]\mathbf{h(0) = - 2}[/tex]

Hence, the ordered pair that represents the greatest y-intercept is (0,3)

Read more about ordered pairs at:

https://brainly.com/question/3309631

Answer:

-1/24

Step-by-step explanation:

Plug in X and W

5/8 - 4/3 - 2/3.

Combine like terms.

5/8 - 2/3.

Solve.

-1/24

Answer:

- 2 1/10

Step-by-step explanation: