Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?

Answer:

green triangle

Step-by-step explanation:

The green triangle has an area of

A = 1/2 bh

A = 1/2 (15) * 19

A =142.5 ft^2

The blue triangle has an area of

A = 1/2 bh

A = 1/2(16.1) (16.4)

A =132.02 ft^2

The green triangle has a greater area

Answer:

10x^2 -4x +6

Step-by-step explanation:

The area of the blue square is

2* 5x^2 = 10x^2

The area of the pink square is

2 * -2x = -4x

The area of the green square is

2 *3 = 6

Add it all together

10x^2 -4x +6

Answer:

7.5h + 10b > $150

Step-by-step explanation:

h represents the amount of hours Lynn works as a hostess for a restaurant, and she gets $7.50 per hour. $7.50h is how much money she gets per hour. b represents the amount of hours Lynn spends working as a babysitter, and she gets $10 per hour. $10b is how much money she gets from babysitting per hour. The total amount of money she gets this week must be more than $150. So the answer is 7.5h + 10b > $150. Hope this helped!

Answer:

5/8 * 2 * pi *r

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi *r

Then multiply it by the fraction  of the circle  ( arc length) you wish to find

5/8 * 2 * pi *r

Answer:

SOS

Step-by-step explanation:

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Answer:

Step-by-step explanation:

[tex]A = lw \nl\frac{\dA}{\dt}[/tex] =[tex]\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt}[/tex] =[tex]w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt}[/tex] [tex]\nll = 20 \text{ cm}[/tex] \;\; [tex]\frac{\text{d}l}{\dt} = 8 \text{ cm/s}[/tex] \;\;w = 10 \text{ cm}, \;\;  [tex]]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}[/tex] [tex]\nl\frac{\dA}{\dt} =(  10 \text{ cm} )( 8 \text{ cm/s} ) + (  20 \text{ cm} )( 3 \text{ cm/s} )  =140 \text{ cm}^2\!\text{/s} [/tex]

Given :

To find :-

Solution :-

As we know that :-

To find the rate :-

Differenciate :-

Substitute :-

2(cos2x - sin2x)

Step-by-step explanation:

Y = sin2x + cos2x

Differentiate wrt x

dy/dx = cos2x . 2 - sin2x . 2

= 2(cos2x - sin2x)

THE WIDTH=67.5 feet & LENGTH=67.5+15=82.5 feet

Perimeter of a rectangle (A) is the 2× sum of of its length (l) and width (w).

A=2(l+ w)

Here, given that,

Perimeter=150 feet

Let, width be x

then, length be x +15

ATQ

x+x+15=150

2x+15=150

2x=150-15

2x=135

x=135/2

x=67.5 feet

Then:

WIDTH=67.5 feet

LENGTH=67.5+15

             =82.5 feet

To learn more on Perimeter of rectangle click:

brainly.com/question/20693059

#SPJ2

Answer:

Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.

[tex]log_{10} (10)=1[/tex]

Notice that the result is one beacuse [tex]10^{1}=10[/tex]

[tex]log_{10}(10000)=4[/tex]

Because [tex]10^{4}=10000[/tex]

[tex]log_{10}(?) =7 \implies 10^{7} =10000000[/tex]

So, [tex]log_{10}(10000000)=7[/tex]

I would say to thim that [tex]x[/tex] and [tex]y[/tex] are variables of the logarithm, which be solved by imagine the logarithm as an exponential like

[tex]log_{10} (x)=y \implies 10^{y}=x[/tex]

In other words, the [tex]y[/tex] is the exponent and the [tex]x[/tex] is the result of the exponential.

Answer:

It would be (1) 5/4 and -5

4x^2+15x-25+0

Answer: (1) 5/4 and -5

I had this in school and i got this right

Hope i helped

have a nice day

Answer:

(1) The correct option is (B).

(2) The mean of the distribution of sample means is 19 fl. oz.

(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.

(4) The correct option is (C).

Step-by-step explanation:

According to the Central Limit Theorem if we have a normal population with mean μ and standard deviation σ and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The mean of the sampling distribution of sample mean will be:

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sampling distribution of sample mean will be:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

μ = 129

σ = 0.80

n = 8

(1)

The shape of the sampling distribution of sample mean will be Normal.

This is because the population from which the sample is selected is normal.

The correct option is (B).

(2)

Compute the mean of the distribution of sample means as follows:

[tex]\mu_{\bar x}=\mu[/tex]

    [tex]=129[/tex]

Thus, the mean of the distribution of sample means is 19 fl. oz.

(3)

Compute the standard deviation of the distribution of sample means as follows:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

    [tex]=\frac{0.80}{\sqrt{8}}\\\\=0.282843\\\\\approx 0.283[/tex]

Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.

(4)

Any change in the sample size will have no effect on the mean of the distribution of sample means.

But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.

This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.

So, for n = 100 the standard deviation is:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

    [tex]=\frac{0.80}{\sqrt{10}}\\\\=0.282843\\\\\approx 0.08[/tex]

Thus, the standard deviation was decreased.

The correct option is (C).

Using the Central Limit Theorem, it is found that:

1. B. Normal.

2. The mean is of 129 fl. oz.

3. The standard deviation is of 0.283.

4. C. The standard deviation would decrease.

Item a:

Item b:

Item c:

Then:

[tex]s = \frac{0.8}{\sqrt{8}} = 0.283[/tex]

Item d:

The standard deviation is inversely proportional to the square root of the sample size, hence it would decrease, and option C is correct.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

(sin(x) - 1) (2 sin(x) + 3) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Answer:

Converse: If I passed, then I studied.

Inverse: If I don't study, then I will not pass

Contrapositive: If I didn't pass, then I didn't study.

Step-by-step explanation:

Answer:

The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:

(Note: we do not need all of 4 points, 2 points are enough)

-33 = a x (-8) + b

  -1 = a x 0 + b

From 2nd equation, we have:

b = -1

From 1st equation, we have:

b - 8 x a = -33

=> -1 - 8 x a = -33

=> 8 x a = 32

=> a = 4

=>  The equation of line: y = 4a - 1

Hope this helps!

:)

Answer:

(60 - 4x)(50 + 2x) = 2,800

Step-by-step explanation:

Answer:

x = 60 deg (alternate interior angle)

Hope this helps!

:)

Answer:

60

Step-by-step explanation:

Same slopes, different constant, so parallel lines.

Answer: ... parallel because their slopes are equal.  Last choice.

Answer:

D

Step-by-step explanation:

Yes, lines l and k are parallel since they are having equal slopes

Answer:

3 possible outcomes

Step-by-step explanation

1) R R

2) R G

3) G G

Answer:

I think of a number  "4"

4+1 = 5

then 5+5 or (5X2) = 10

Step-by-step explanation:

Hope this helped :)

Answer:

Step-by-step explanation:

Given the following data :

(Weight, miles per gallon) (x, y) = 3648, 19), (1638, 47), (1727, 09), (2535, 50), (1832, 86), (2029, 22), (2336, 54), (1725, 33), (2534, 27), (1838, 09), (1733, 72)

Using the least square regression calculator  :

y = -0.00941x + 59.07

B) slope = -0.00941

The slope 'm' of the graphical relationship is -0.009406

Intercept = 59.07 ( where the regression line crosses the x-axis)

C.) Using the regression equation:

y = -0.00941(3600) + 59.07

y = 25.194 gallons (above)

D.) No, because other factors also contribute to gas mileage such as cylinders, Displacement, mdoel e. T. C

Answer:

He spends $540

Step-by-step explanation:

literally just 45 multiplied by 12

Answer:

The converse of the Pythagorean Theorem states that: If the square of the longest side of the triangle is equal to the sum of the squares of the other two sides of the triangle, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

M

hope this helps

Answer:3rd row (abcg) skip a line h

Step-by-step explanation:

Answer:

The net folds into a cube  

Step-by-step explanation:

* The net folds into a cube *

How can we guess? Well here all the surfaces of this 3-dimensional figure are squares, provided the dimensions of each surface are congruent, all being 2 inches. In addition, if we were to fold each of these squares on the net on the appropriate lines, we could imagine it to be a cube, perfectly fit to be as well!

Answer:

2 the probability would be2/5 because of the two dice

Answer:

6

Step-by-step explanation:

6/12 simpify 1/2

Discount = [tex]\frac{15}{100}[/tex] x 75

               = [tex]\frac{1125}{100}[/tex]

               = $11.25

Answer:

-19/4

Step-by-step explanation:

-1/2 + x =-21/4

x=-21/4+1/2

x=-21/4+2/4

x=-19/4