Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closest to the mean of this distribution?

A.6
B.7
C.3
D.4
E.5

Answer:

x = 6.375

Step-by-step explanation:

Step 1:

4.2+0.8 = 5

(1.6x+1.8)÷2.4 = 5

Step 2:

5 · 2.4 = 12

1.6x + 1.8 = 12

Step 3:

12 - 1.8 = 10.2

1.6x = 10.2

Step 4:

10.2 ÷ 1.6 = 6.375

x = 6.375

Answer:

0

Step-by-step explanation:

6(-0.5) + 3 = -3 + 3 = 0

Answer:

0

Step-by-step explanation:

x= - 1/2 [given]

Now,

> 6x + 3

>6 × - 1/2 + 3

> -6/2 +3

> -3/1 + 3

> -3 + 3

> 0

━━━━━━━☆☆━━━━━━━

▹ Answer

111

▹ Step-by-Step Explanation

[tex]3(8 - 4)^{2} + 7 * 9\\\\3 * 4^{2} + 7 * 9\\\\3 * 16 + 63\\\\48 + 63\\\\= 111[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

706.86 cm

Step-by-step explanation:

=4pi(r^2)

=12.56(r^2)

=12.56(7.5^2)

=12.56(56.25)

=706.86

Answer:

14.42 units

Step-by-step explanation:

Assuming that this is a right triangle (i.e ∠ACB = 90°), we can use the Pythagorean formula to solve this:

AB² = AC² + BC²

AB² = 12² + 8²

AB = √(12² + 8²)

AB = 14.42 units

Answer:

1131 cubic inches.

Step-by-step explanation:

The front side of the figure contains a rectangle and a semicircle.

Area of rectangle is

[tex]A_1=length\times breadth[/tex]

[tex]A_1=11\times 12[/tex]

[tex]A_1=132\text{ in}^2[/tex]

Radius of semicircle is

[tex]r=17-11=6\text{ in}[/tex]

Area of semicircle is

[tex]A_2=\dfrac{1}{2}\pi r^2[/tex]

[tex]A_2=\dfrac{1}{2}\pi (6)^2[/tex]

[tex]A_2\approx 56.55[/tex]

Area of front side is

[tex]A=A_1+A_2=132+56.55=188.55\text{ in}^2[/tex]

Let front side is the base of prism and height is 6 in. So, volume of given figure is

[tex]V=\text{Base area}\times height[/tex]

[tex]V=188.55\times 6[/tex]

[tex]V=1131.3[/tex]

[tex]V\approx 1131\text{ in}^3[/tex]

Therefore, the required volume is 1131 cubic inches.

Answer:

The answer is 6 factorial or 6!

6! = 6 * 5 * 4 * 3 * 2 * 1

which equals 720

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Answer:

Step-by-step explanation:

REcall that f(x) is a polynomial whose one of its roots is -3+i. The fundamental algebra theorem states that any polynomial of degree n has n complex roots. In the real case, it can be also interpreted as any polynomial can be factored in factors of degree at most 2.

Consider that given a polynomial of degree 2 of the form [tex]ax^2+bx+c[/tex] the solutions are given by

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

In this case, the fact that x is real or complex depends on the number [tex]b^2-4ac[/tex] which is called the discriminant. When this number is negative, we have that x is a complex root. Let say that [tex]b^4-4ac<0[/tex] and that [tex]\sqrt[]{b^4-4ac}=di[/tex], so the roots are given by

[tex] x_1 = \frac{-b + di}{2a}, x_2 = x_1 = \frac{-b - di}{2a}[/tex]

this means that, whenever we have a complex root, the other root is the complex conjugate. Recall that the complex conjugate of a complex number of the form a+bi is obtained by changing the sign of the imaginary part, that is a-bi.

So, in our case since -3+i is a root, then -3-i necessarily is another root.

If -3 + i is a root then -3 - i is too.

Therefore, the answer is -3 - i

Answer:

7.

Step-by-step explanation:

15 - [7 + (-6)+ 1]^3

Using PEMDAS:

= 15 - [ 7-6+1]^3

Next work out what is in the parentheses:

= 15  - 2*3

Now the exponential:

= 15 - 8

= 7.

Step-by-step explanation:

Hi,

I hope you are searching this, right.

=15[7+(-6)+1]^3

=15[7-6+1]^3

=15[2]^3

=15-8

=7...is answer.

Hope it helps..

Answer:

to be honest I'm not sure how to do this question plz

Confidence interval for mean, when population standard deviation is unknown:

[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = sample mean

n= sample size

s= sample standard deviation

[tex]t_{\alpha/2}[/tex] = Critical t-value for n-1 degrees of freedom

We assume the population has a normal distribution.

Given, n= 19 , s= 3.8 , [tex]\overline{x}=22.4[/tex]

[tex]\alpha=1-0.99=0.01[/tex]

A) Critical t value for [tex]\alpha/2=0.005[/tex] and degree of 18 freedom

[tex]t_{\alpha/2}[/tex] = 2.8784

B) Required confidence interval:

[tex]22.4\pm ( 2.8744)\dfrac{3.8}{\sqrt{19}}\\\\=22.4\pm2.5058\\\\=(22.4-2.5058,\ 22.4+2.5058)=(19.8942,\ 24.9058)\approx(19.9,\ 24.9)[/tex]

Lower bound = 19.9 years

Uppen bound = 24.9 years

C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .

Answer:

[tex]\sqrt[12]{55296}[/tex]/2

Step-by-step explanation:

[tex]\sqrt[4]{6}[/tex]/[tex]\sqrt[3]{2}[/tex]=1.2422

[tex]\sqrt[12]{27}[/tex]/2=0.66 <-- not matching with the top expression.

[tex]\sqrt[4]{24}[/tex]/2=1.11<--not matching with the top expression.

[tex]\sqrt[12]{55296}[/tex]/2=1.2422<-- matches!!

[tex]\sqrt[12]{177147}[/tex]/3=0.91<-- not matching with the top expression.

Answer:

It is C) ^12 square root 55296/2

Step-by-step explanation: I checked with my calculator.

Answer:

Average speed

= 5 5/6 mph , or

= 5.83 mph (to 2 decimals)

Step-by-step explanation:

Average speed is total distance divided by the total time it takes to cover the given distance.

Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.

Let

x = distance uphill, and also distance downhill.

Total distance = 2x miles

Total time = x/5 + x/7 hours  = 12x/35 hours

Average speed

= total distance/total time

= 2x / (12x/35) mph

= 70x / 12x

= 5 5/6 mph

= 5.83 mph (to 2 decimals)

Answer:

Step-by-step explanation:

a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.

__

b) The given expanded form adds up to give ...

  963,104

Based on the above discussion, the name of this number is ...

  "nine hundred sixty-three thousand one hundred four"

Using digits to help write this, it would be 963 thousand 104.

Answer: C. graph that contains the points (-3,0) and (-5,4).

Step-by-step explanation:

Given equation of line: [tex]y=-2x-6[/tex]

Now, Let's check each option

A. Put (x,y)=(0,-3), i.e. x=0 and y=-3 in given equation

[tex]-3=-2(0)-6\\\\\Rightarrow\ -3=-6[/tex]

which is not true.

So, option A. is not correct.

B. Put (x,y) = (3,0), i.e. x=3 and y=0

[tex]0=-2(3)-6\\\\\Rightarrow\ 0=-6-6\\\\\Rightarrow\ 0=-12[/tex]

which is not true.

So option B. is not correct.

C. Put (x,y) = (-3,0), i.e. x=-3 and y=0

[tex]0=-2(-3)-6\\\\\Rightarrow\ 0=0[/tex] , which is true.

Put (x,y) = (-5,4) ,

[tex]4=-2(-5)-6\\\\\Rightarrow\ 4=10-6\\\\\Rightarrow\ 4=4[/tex], which is true.

So both points in option C satisfy the given equation.

That means, option C is correct.

D. Put (x,y) = (-6,0)

[tex]0=-2(-6)-6\Rightarrow\ 0=6[/tex] , which is not true.

So option D. is not correct.

Answer:

1133.54 in.^2

Step-by-step explanation:

The answer is the area of the circle which is in white inside the square. We are not looking for the shaded area.

A = (pi)r^2

r = d/2 = 38 in./2 = 19 in.

A = (3.14)(19 in.)^2

A = (3.14)(19 in.)(19 in.)

A = 1133.54 in.^2

Answer:

Step-by-step explanation:

Given,

Diameter ( d ) = 38

Radius ( r ) = 38/2 = 19

π = 3.14

Now, let's find the area :

[tex]\pi \: {r}^{2} [/tex]

Plug the values

[tex]3.14 \times {(19)}^{2} [/tex]

Evaluate the power

[tex]3.14 \times 361[/tex]

Calculate the product

[tex]1133.54 \: {in}^{2} [/tex]

Hope this helps..

Best regards!!

Answer:

15

Step-by-step explanation:

Use the Pythagorean Thereom:

[tex]r^{2}[/tex] = [tex]9^{2}[/tex]+[tex]12^{2}[/tex]

[tex]r^{2}[/tex] = 81+144

[tex]r^{2}[/tex] = 225

[tex]r[/tex]= 15

Please mark me as Brainliest!

B

C

=

16.17

(

2

d

p

)

c

m

Explanation:

In triangle ABC, side

A

C

=

15

, Angles are

∠

B

=

68

0

;

∠

C

=

24

0

and

∠

A

=

180

−

(

68

+

24

)

=

88

0

We know by sine law

A

C

sin

B

=

B

C

sin

A

or

15

sin

68

=

B

C

sin

88

or

B

C

=

15

⋅

sin

88

sin

68

=

16.17

(

2

d

p

)

c

m

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠B = 68°,      m∠C = 24°,       AC = 15 cm

m∠A = 180° - 68° - 24 = 88°

by sine law:

                  [tex]\dfrac{BC}{\sin(A)}=\dfrac{AC}{\sin(B)}\\\\\\BC=\dfrac{15}{\sin\left(6\big8^o\right)}\cdot \sin\left(8\big8^o\right)\\\\\\BC\approx\dfrac{15}{0.9272}\cdot 0.9994=16.168032....\\\\\\BC\approx16.17[/tex]

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

[tex]\frac{180}{30}[/tex] = 6

[tex]\frac{180}{36}[/tex] = 5

[tex]\frac{180}{45}[/tex] = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

Answer:

she works 50 hours for that week

Step-by-step explanation:

She is paid $18 per hour and received a bonus of $125 per bonus for the first week . she claims her compensation for the first week should be $1025 . The number of hour she worked base on her claim can be calculated below.

Let

the number of hours she worked = a. Therefore,

18a + 125 = 1025

18a = 1025 - 125

18a = 900

divide both sides by 18

a = 900/18

a = 50

she works 50 hours for that week

Answer: A

Step-by-step explanation:

The answer is A.  It accurately describes the equation shown.  Negative values are represented by negative tiles and positive values are represented by positive tiles.

Hope it helps <3

Answer:

A Yes, because every x value corresponds to exactly one y value

Step-by-step explanation:

A function has a one to one correspondence, or every x goes to only one y value

Since each x goes to only 1 y value this is a function

Answer: It is a function

Step-by-step explanation:

One way to tell if it is a function or not, is to look at the X and Y. While 2 different X values can get the same Y value, one X value should not have 2 different Y values. In the table you can see, there are no repeating X values that have different Y values.

EXAMPLES:

(14, 15)

(13,15)

If these two showed up in a table, it could still be a function

(14, 15)

(14, 16)

If these pairs showed up in a table, than it would not be considered a function

Answer:

the height that represents the 99th percentile is 69.324  inches

Step-by-step explanation:

Given that :

the mean height =  62.8 inches

standard deviation = 2.8  inches

For 99th percentile;

Let X be the random variable;

SO, P(Z≤ z)  = 0.99

From the standard normal z tables

P(Z )= 2.33

The standard z score formula is :

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

[tex]2.33 = \dfrac{X- 62.8}{2.8}[/tex]

2.33 × 2.8 = X - 62.8

6.524 = X - 62.8

6.524 +62.8 =  X

69.324  = X

X = 69.324

Therefore; the height that represents the 99th percentile is 69.324  inches

Answer:

Using point-slope form we get:

y - 6 = 1/3(x + 6)

y - 6 = 1/3x + 2

y = 1/3x + 8

Answer:

  14

Step-by-step explanation:

The rectangle has side lengths of 3 and 4. There are two of each length, so the total length of all the sides is ...

  P = 2(l +w) = 2(4 +3) = 2(7)

  P = 14 . . . . units

Hi king,

Write [tex]4x^{2} + 16x - 9[/tex] in vertex form:

f(x)=[tex]4x^{2} + 16x - 9[/tex]

f(x)=[tex]4(x+2)^{2} -25[/tex]

Write [tex]5x^{2} - 10x + 4[/tex] in vertex form:

g(x)=[tex]5x^{2} - 10x + 4[/tex]

g(x)=[tex]5(x-1)^{2} -1[/tex]

Have a great day.

Answer:

17

Step-by-step explanation:

f(5) = (5*3)+2

f(5) = 17

Answer:

Poster’s perimeter = 150 in

Step-by-step explanation:

Given:

Width of poster = 2.5 ft = 2.5 × 12 = 30 in

Find:

Poster’s perimeter.

Computation:

Height of poster = [30×6]/4

Height of poster = 45 in

Poster’s perimeter = 2 [Width of poster + Height of poster]

Poster’s perimeter = 2 [30+45]

Poster’s perimeter = 2 [75]

Poster’s perimeter = 150 in

The correct is:

[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]

The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].

In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.

In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]

In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]

Answer:

Paul=Steve

Step-by-step explanation:

Answer:

The expression that represents Paul’s height in inches is 3/4t - 16. The expression that represents Steve’s height in inches is 4/3t - 6. Paul and Steve are the same height, so the equation that represents this relationship is

3/2t - 16 = 4/3t - 6

( PLATO/EDMENTUM ANSWER)