A menu has three meat choices, three vegetable choices and two
desserts. How many ways can you choose your dinner?

Answer:

41.5 units

Step-by-step explanation:

Given the data :

Month : J F M A M J J A S O N D

Inflow : 3 4 5 3 4 10 28 17 7 6 3 2

Outflow : 7 8 7 11 6 8 21 12 5 4 5 9

The unit of water in reservoir at the middle of August :

Initial unit = Unit of water at the start of the year = 50

Middle of August :

Inflow = 17 /2 = 8.5

Outflow = 12 /2 = 6

Unit of water at the middle of August :

Initial unit + Inflow - Outflow

Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5

Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74

50 + 65.5 - 74 = 41.5

Answer:

c and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q1

Q2

TS = 3x + 1 = 3(7) + 1 = 22

Answer:

105

Step-by-step explanation:

your answer is 105.

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Answer:

thank you very much

Step-by-step explanation:

thank you

Answer:

20

Step-by-step explanation:

your welcome!!

Answer:

Approximately normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

The shape of the sampling distribution of the sample mean distance is approximately normal

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5

meters.

Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample

When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.

Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.

Hence, the shape of the sampling distribution of the sample mean distance is approximately normal

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Answer:

64.8°

Step-by-step explanation:

in the given ratio 9:13:3 the required middle angle is presented as 9;

1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as

9x+13x+3x=180, ⇒ x=36/5;

2) if x=36/5, then the required measure of the middle angle can be calculated:

m(∠MIDDLE)=9*36/5=64.8°.

Answer:

43.50 or 43.5

Step-by-step explanation:

Answer:

d = 10

Step-by-step explanation:

A = πr²

81 /π = r²

r² ≈ 25

r = 5

d = 5(2) or 10

Answer:

6 cards

Step-by-step explanation:

8 × 6 = 48

You can't have 1/4 of a baseball card. So the answer is 6 cards.

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

Step-by-step explanation:

If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. hope this helped\

Answer:

32

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Answer:

3+2x

Step-by-step explanation:

Since you've started with 3 you add the 2 each time up the output.

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex]    [tex]\frac{y_1+y_2}{2} =Ymp[/tex]

[tex]\frac{6+x_2}{2} = 1[/tex]          [tex]\frac{-2+y_2}{2} =2[/tex]    

multiply each by 2  to simplify

[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex]    [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify

6+[tex]x_{2}[/tex] = 2                          -2+[tex]y_{2}[/tex] = 4  =  

-6       -6                          +2       +2

   [tex]x_{2}[/tex] = -4                               [tex]y_{2}[/tex] =  6

To check use the Midpoint formula

[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]

Answer:  x=3.40

Step-by-step explanation:  apply exponent rule    xln(3)= ln(42)

                                             solve xln(3)=ln(42): x=ln(42)/ln(3)   (fraction form)

                                              (decimal) 3.40217...   round it to the nearest hundreth= 3.40

I do not know if this is correct.

Step-by-step explanation:

step 1. 6x - 30 = 2(x + 33)

step 2. 6x - 30 = 2x + 66

step 3. 4x = 96

step 4. x = 24.

step 5. mNMO = x + 33 = 24 + 33 = 57°.

Answer:

The value of g(a) is:

[tex]g(a) = 3 - 2a[/tex]

Step-by-step explanation:

Given

As the function is given by

[tex]g(x)=3-2x[/tex]

To determine

g(a) = ?

Given the function

[tex]g(x)=3-2x[/tex]

substitute x = a in the function

[tex]g(a) = 3 - 2(a)[/tex]

[tex]g(a) = 3 - 2a[/tex]

Therefore, the value of g(a) is:

[tex]g(a) = 3 - 2a[/tex]

Answer:

Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)

Answer:

Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.

Step-by-step explanation:

This is a sample response, be sure to change the wording up a bit.

The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The length of the longer leg of a 30-60-90 triangle is 18.

Then the length of the short leg will be

tan 30° = x / 18

          x = 10.4

Then the length of the hypotenuse will be

sin 30° = 10.4 / h

        h = 20.8

More about the right-angle triangle link is given below.

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Answer:

[tex]\bar x = 34.7[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}[/tex]

Required

Calculate the mean

The given data is a grouped data. So, we need to calculate the class mid -point first.

This is done by calculating the average of the class intervals.

So, we have:

[tex]\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}[/tex]

For 11 - 20, the midpoint is: [tex]x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5[/tex]

For 21 - 30, the midpoint is: [tex]x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5[/tex]

.....

For 61 - 70, the midpoint is: [tex]x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}[/tex]

[tex]\bar x = \frac{138016}{3972}[/tex]

[tex]\bar x = 34.7472306143[/tex]

[tex]\bar x = 34.7[/tex] --- approximated

The mean is approximately 34.7

Answer:

If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.

Step-by-step explanation:

Answer:

false they are measuring the amount the sold

Answer:

2= 28+42=70

Step-by-step explanation:

Answer:

(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)  

(g x h)(n) = -3n^3-4n^2 -8n + 8

(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7

Step-by-step explanation:

Answer:

1.  n = 0

   n = f -4

2.   n = - 2/g+2

3. fn+gn

Step-by-step explanation: