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Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

Answer:

17 degrees

Step-by-step explanation:

-23 + 6 = 17

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

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.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Answer:

Up to 6 decimal places are supported for decimal-to-fraction conversion.

Step-by-step explanation:

Step-by-step explanation:

subtract the whole equation by 85 on both sides to get v by itself on the left side

85-85-v=213-85

-v=128

Now we divide the whole equation by negative 1

-1v/-1=128/-1

v=-128

Hope that helps :)

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Answer:

horizontal asymptote at y = 0

Step-by-step explanation:

According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.

However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.

It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:

f(x) = (xe)^((-x)^2)

The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.

hope that helps, I really don't know thought. Quite tricky

Answer:

One angle measures 178º, and the other measures 2º.

Step-by-step explanation:

Given that an angle measures 176 degrees more than the measure of its supplementary angle, to determine what is the measure of each angle, the following calculation must be performed, knowing that the sum between two complementary angles gives 180º:

(180 - 176) / 2 = X

4/2 = X

2 = X

180 - 2 = 178

Thus, one angle measures 178º, and the other measures 2º.

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)

Answer:

use mathwy

Step-by-step explanation:

its better for a. expansion

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

Answer:

I think its the first and the third one

Step-by-step explanation:

lemme know if this helps :)

Answer:

Step-by-step explanation:

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

Answer:

The area of the bookmark is  68.56  cm².

Step-by-step explanation:

Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).

Find the area of the simpler figures.

Rectangle

A = LW

A = 14 · 4

A = 56

The area of the rectangle is 56 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 56 + 12.56

A = 68.56

The area of the bookmark is 68.56 cm².

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Y = MX-B,

therefore Y = (6*4) - 15,

so Y = 24 - 15

Y = 9

Answer:

x = 4

Step-by-step explanation:

x + x + 6 + 6 = x + 8 + 8

2x + 12 = x + 16

2x + 12 - 12 = x + 16 - 12

2x + 0 = x + 4

2x = x + 4

2x - x = x + 4 - x

2x - x = x - x + 4

x = 0x + 4

x = 0 + 4

x = 4

Chequando Respuesta :

x = 4

x + x + 6 + 6 = x + 8 + 8

(4) + (4) + 6 + 6 = (4) + 8 + 8

4 + 4 + 6 + 6 = 4 + 8 + 8

8 + 6 + 6 = 12 + 8

14 + 6 = 20

20 = 20

Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.

Answer:

$6.20

Step-by-step explanation:

5.75 * 2.40= 13.80

20-13.80= 6.20

$6.20

9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)

Answer:

Step-by-step explanation:

7/10 are black therefore 14/20 are black

Answer:

6x^2+7x−3

Step-by-step explanation:

(2x+3)(3x−1)

Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.

6x^2−2x+9x−3

Combine −2x and 9x to get 7x.

6x^2+7x−3

Graph if needed:

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

The slope of the line is 6.