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Solve for x. Round to the nearest tenth, if necessary.

Answer:

48; 14.90 or 14.9

Step-by-step explanation:

First you have to take the mean of the data set.

In order to do this, we take the sum of all of the data points and then divide them by the number of values like so...

[tex]\frac{34+37+48+32+25+34+35+23+33+30}{10}[/tex]

The answer to this is 33.1.

Now we have to find the value furthest from this value. In order to do this, we are going to take the highest (48) and the lowest value(23). Then we compare their distance from 33.1. After this, we can tell that 48 is further from 33.1 than 23 is.

Then for the second part, 48-33.1 = 14.90 and that is how far the value is from the mean.

Solution in the picture

Answer:

[tex] \times = 1.8[/tex]

The probability of randomly picking a tomato or squash plant from the garden is 5/12.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

Probability = (total number of tomato / total number of fruits) + (total number of squash / total number of fruits)

total number of fruits = 12 + 6 + 4 + 2 = 24

(6/24) + (4/24) = 10/24 = 5/12

To learn more about probability, please check: https://brainly.com/question/26321175

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

[tex](5*21)=105\\105-15=90[/tex]

Step-by-step explanation:

A+B=180

(9×+15)×(3×-15)=180

12×=180

×=180\12

×=15 ans,,

Answer:

y = [tex]\frac{x}{4}[/tex] - 2

Step-by-step explanation:

y - 1 = 1/4 (x - 12)

y - 1 = 1/4 (x) -3

y = 1/4 (x) -3 +1

y = [tex]\frac{x}{4}[/tex] - 2

Answer:

6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

Answer:

It is 9202.77
(rounded off)

Step-by-step explanation:

Volume=4/3*π*radius^3
The beach ball described is 4/3*π*13^3

Answer:

4/3 πr^13

4/3 π 13^3

4/3 π 2197 = 9202.77

Answer:

hi, I believe it would be C. P=368(0.07)^x

Step-by-step explanation:

hope it helps!

Answer:

The ratio of the circumference of a circle to its diameter and is called π (Pi).

Step-by-step explanation:

See off side word is used it will be deducted half each time n is used

So we get a geometric sequence.

So correct formula is

[tex]\\ \rm\longmapsto f(n)=128(1/2)^n,n>1[/tex]

Option A is correct

Answer:

Area = 162 ft.^(2)

Step-by-step explanation:

50% of 18 ft. = 9 ft.

9 x 18 = 162 ft.^(2)

Answer:

The number= 15 or 5/2

Step-by-step explanation:

(8x-20)(2x-30)=0

16x^2-240x-40x+600=0

16x^2-280x +600 =0

divide by 8

2x^2-35x+75=0

2x^2-30x-5x+75=0

2x(x-15)-5(x-15)=0

(x-15)(2x-5)=0

x=15 OR 5/2

Answer:

yeah so it is 74882828 it is pretty easy

Answer: 1/24 L

Step-by-step explanation:

[tex]$\frac{1}{8} L \div 3= \frac{1}{8} \div \frac{3}{1}= \frac{1}{8} \times \frac{1}{3}=\frac{1}{24} \quad$ \\\\\begin{aligned}\therefore \text { Each student will get } &\frac{1}{24} L \text { of juice. }\end{aligned}[/tex]

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

  [tex]\frac{1}{8}\div \:3[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]

[tex]=\frac{1}{8}\div \frac{3}{1}[/tex]

[tex]=\frac{1}{8}\times \frac{1}{3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{1\times \:1}{8\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1[/tex]

[tex]=\frac{1}{8\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\times \:3=24[/tex]

[tex]=\frac{1}{24}[/tex]

Thus, 1/24 on fraction of juice each student get.

[RevyBreeze]

Answer:

$375

Step-by-step explanation:

Given:

To Find:

What is the cost of the dryer?

Solve:

Let's  the price of the washer is w and the price of the dryer is d.

Thus,

w + d = 669

d - 81 = w

To find the cost of the dryer, we just need to substitute it for w in the first equation:

(d - 81) + d = 669

2d - 81 = 669

2d = 750

d = 375

Hence the cost of the dryer is $375.

~Learn with Lenvy~

[tex](7 + 3) + 42 \times (7 - 3) [/tex]

[tex]10 + 42 \times 4[/tex]

[tex]10 + 168[/tex]

[tex] 178[/tex]

Answer:

178

Step-by-step explanation:

Make sure to follow the order of operations:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

Answer:

1. A

2. I

3. R

Step-by-step explanation:

The opposite of a number is just adding or removing a minus sign.

For -6, we just remove the - and get 6.

For 0, this is a special case. It always stays as 0, because -0 does not exist.

For 18, we just put a minus sign and get -18.

Answer:

There are infinity answers to this

Step-by-step explanation:

The answer would be the surface

Answer:

  A = $6,700(1 +0.0865^t)

  APY = 8.65%

Step-by-step explanation:

Daily compounding of interest results in an annual growth factor of ...

  gf = (1 +r/365)^365 . . . . for APR = r

Your growth factor is ...

  gf = (1 +0.083/365)^365 ≈ 1.086532

Then the growth rate (APY) is ...

  APY = gf -1 ≈ 8.65%

The account value is multiplied by the growth factor each year, so after t years will be ...

  A = P(1 +APY)^t

  A = $6,700(1 +0.0865)^t . . . . . . . 0.0865 is the annual growth rate

The equation that represents the volume of the cylinder is 36πhhh m³.

Explanation:

Formula: volume of a cylinder = πr²h

pi =  π = 22/7

r = radius

6² πhhh

36πhhh m³

Answer:

Step-by-step explanation:

As per Provided Information

AB & AC are tangent to the circle O.

we have been asked to determine the length of AC ( tangent) .

This question is quite easy if you know the following Theorem which states that

Tangent drawn from an external point to the circle are equal in length

Therefore

Therefore,

Option (D) 23 cm

Answer:

D) 23 cm

Step-by-step explanation:

it passes the quiz

Answer:

[tex]3 {x}^{4} [/tex]

Step-by-step explanation:

[tex]\huge \sqrt[3]{9 {x}^{4} } . \sqrt[3]{3 {x}^{8} } \\ \\ \huge = \sqrt[3]{9 {x}^{4} \times 3 {x}^{8} } \\ \\\huge = \sqrt[3]{27 {x}^{12} } \\ \\ \huge\orange{= 3 {x}^{4} }[/tex]

Answer:

C

Step-by-step explanation:

Answer:

yes because 100 - 50 is 50

Answer:

you should clearly state your final answer

Step-by-step explanation:

Answer:

You should find a common denominator for your fractions.

Step-by-step explanation:

easy hope this helps

Answer:

See below.

Step-by-step explanation:

(-1,2),(3,-1)

-1-2/3-(-1)

-1-2/3+1

-3/4

The slope is -3/4.

-hope it helps

Answer:

  15. 80 benches

  16. 45 cost units

Step-by-step explanation:

The two problems together are asking you to find the coordinates of the vertex of the cost function. To do this you can use the procedure for writing a quadratic in vertex form.

  C(x) = 0.1x^2 -16x +685

  = 0.1(x^2 -160x) +685 . . . . . . factor out the leading coefficient

  = 0.1(x^2 -160x +6400) +685 -(0.1)(6400) . . . add and subtract 0.1(6400)

  C(x) = 0.1(x -80)² +45 . . . cost function in vertex form

__

The number of benches that minimizes the cost function is the x-coordinate of the vertex. That is the value that makes the square equal to zero.

  x = 80 . . . benches

__

The minimum value of the cost function is the value obtained when the squared term is zero:

  C(80) = 0.1(80 -80)² +45

  C(80) = 45

The minimum cost per bench is 45. (The problem statement gives no units for cost. It could be pesos, or millions of rubles. We can't tell.)

_____

Additional comment

The square of a binomial is ...

  (x +a)² = x² +2ax +a²

You will notice that the constant (a²) is the square of half the x-coefficient. To "complete the square", we put the equation in a form where we have (x² +2ax) in parentheses. Then we divide the x-coefficient by 2, and add its square inside parentheses: (x² +2ax +a²) and rewrite to the form of a square: (x +a)².

In order to keep the expression the same, we must subtract the same quantity elsewhere in the equation. Outside parentheses, it must be multiplied by the coefficient in front of the parentheses. In the above, we added (0.1)(6400) and subtracted (0.1)(6400) so that we could rearrange the cost function to vertex form: a(x -h)² +k has vertex (h, k).

__

We find a graphing calculator to be an extremely handy tool for dealing with polynomial functions. The attached shows the graph of the cost function. The calculator marks the vertex for us. Since it is a plot of cost versus number of benches, the units of the vertex are (benches, cost units).

Answer:

1:1

Step-by-step explanation:

First choice