1. 4(-20) 2. (-8)(-5)

3. (-10)(0) 4. (-9)(-21)

5. 11(-1) 6. 18(-4)

Answer:

. ...................

The mean of the sampling distribution of the sample mean for a sample of size 4 is the same as the mean of the population, which is 35.2.

The standard deviation of the sampling distribution of the sample mean is equal to the standard deviation of the population divided by the square root of the sample size. In this case, the standard deviation of the sampling distribution of the sample mean is equal to 9.5/√4, or 9.5/2, which is equal to 4.75.

Standard deviation is a measure of how much variation or dispersion there is from the average (mean) value in a data set. It is calculated as the square root of the variance. Standard deviation is used to measure the spread of a data set, by calculating how much each value in the data set varies from the mean.

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Answer:

a)

week 1) 36 television

week 2) 12 television

week 3) 6 television

b) draw 2 televisions

cause 12+12=24

c) the shop sells 78 television in the 4-week period.

36+12+6+24=78

Hello there! :)

Week 3: 6 televisions because one symbol represents 12 televisions, and there's only half of this symbol. One half of 12 is 6.

So the shop sold \(6\) televisions in Week \(3.\)

What about Week 4?

We are given that 24 televisions were sold. We draw 2 symbols because 1 symbol represents 12 televisions.

To calculate the number of televisions sold in total, we must add Week 1+Week 2+Week 3+Week 4.

36+12+6+24=\(78\)

In total, \(78\) televisions were sold.

Hope it helps! :)

\(*GraceRosalia*\)

Answer:

46-47 days

Step-by-step explanation:

Find how many calories per minute:

28/2=14

Find how many calories per day:

14*25= 350 calories per day

Find the total calories he needs to burn to lose 5 pounds:

3250*5= 16250

Divide how many calories he needs to burn by how many calories he burns a day:

16250/350= 46.4

46-47 days to lose 5 pounds of fat.

But honestly I don't know why he wants to lose 5 pounds he's already supper light XD

Answer:

Step 2

Step-by-step explanation:

from Step 1      4/3 - 1/3 = 3/3  = 1   =  q   =  q + 1/3 - 1/3

Answer:

Ok, let's calculate the number of possible outcomes:

First, let's see the events and the number of outcomes in each event:

Drawing a card --- 4 outcomes

Rolling a number cube ---- 6 outcomes.

The total number of outcomes will be equal to the product between the number of outcomes in each individual event, this is:

C = 4*6 = 24.

Now, suppose that you have a restriction like:

"What is the probability that you have an odd number in the number cube?"

Ok, let's do the same:

Drawing a card ---- 4 outcomes (the restriction does not affect this event)

Rolling a number cube ---- 3 outcomes (because there are only 3 odd numbers)

The number of combinations is:

C' = 4*3 = 12.

Then the probability will be the quotient between the number of outcomes that meet the condition and the total number of outcomes:

P = C'/C = 12/24 = 0.5

Answer:

First one

Step-by-step explanation:

First one ....pick a point ....say C    for 'x'   add 8    for y   subtract 3  and you will be at C'

Answer:

7 months

Step-by-step explanation:

I graphed it

Answer:

Maximum= (-2,15)

Minimum= (2,-15)

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Answer:

Length: 18

Width: 11

Step-by-step explanation:

Step 1: Write out equation

x(x + 7) = 198

Step 2: Distribute

x² + 7x = 198

Step 3: Complete the square

x² + 7x + 49/4 198 + 49/4

(x + 7/2)² = 841/4

Step 3: Solve for x

√(x + 7/2)² = √(841/4)

x + 7/2 = ±29/2

x = -7/2 ± 29/2

x = 11, -18

Since you can't have negative length, your x will be 11. Now simply plug them in as width and length:

Width = x

x = 11 in

Length = 11 + 7

x = 18 in

And we have our final answers!

Answer: 7 h and 20 min

Step-by-step explanation:

The return trip: 50

And hour : 7

So 50/7= the total return trip

50/7 = about 7.1428

Round to nearest 10th

Equals 7.20 so 7 h and 20 min is the total time.

If the original amount is 390 and the new amount is 546, the amount of increase is 156 and the percent increase is 40%. This indicates that the new amount is 156 units higher than the original amount, representing a 40% increase.

To find the amount of increase and the percent increase between the original amount and the new amount, we can follow these steps:

1. Start with the original amount: 390.

2. Determine the increase by subtracting the original amount from the new amount: 546 - 390 = 156.

3. The amount of increase is 156. This means that the new amount is 156 units greater than the original amount.

4. To calculate the percent increase, divide the amount of increase by the original amount and then multiply by 100: (156 / 390) * 100 = 40.

5. The percent increase is 40%. This means that the new amount is 40% greater than the original amount.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

(x + 3)⁵

= x⁵ + 3⁵

= x⁵ + 243

Answer:

Step-by-step explanation:

Answer:

\(\angle 1 \cong \angle 7\)

Step-by-step explanation:

We proceed to present which angles corresponds with \(\angle 7\), accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.

Hence, we conclude that \(\angle 1 \cong \angle 7\).

Answer:

the iqr is 42

Step-by-step explanation:

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

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The properties of isosceles trapezoid are

The lengths of the left and right sides of an isosceles trapezoid are equal or identical hence the base angles are likewise equal.

Because lengths of the left and right sides are equal and base angels are equal, the diagonals are equal

Other types of trapezoid include

generally all trapezoid have two sides that are parallel to each other

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Answer:

your third answer

Step-by-step explanation:

its easy just plug in each domain into your function and the result will be the range

Answer: -4x(x-1)

Step-by-step explanation:

Since both are perfect squares just factor.

Answer:

Step-by-step explanation:

You have to find 1 number that equals the number you are given when you multiply it by itself.

for example a times a = b

Square root of 144?

12x12=144

We can calculate the square root of a number as follows -

A = √x

In mathematics, a square root of a number x is a number y such that

y² = x.

Given is number and it is asked to find its square root.

Assume the number whose square root is to be found be [x]. Then, we can calculate the square root as -

A = √x

For example -

x = 9

A = √9

A = √(3 x 3)

A = √(3)²

A = 3

Therefore, we can calculate the square root of a number as follows -

A = √x

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Answer:

3.534kg

Step-by-step explanation:

0.114 × 31 = 3.534 kg

hope this helps...

To graph this function, we can apply a translation 2 units up.

When doing this, we will obtain that the midline will be located at y=2 and that the minimum and maximum values will be 1 and 3 respectively.

We know this by adding 2 to the original values of sine function.

The midline of a normal sine function is y=0. If we add 2, it is y=2.

The minimum value of the sine function is -1. If we add 2, it is 1.

The maximum value of the sine function is 1. If we add 2, it is 3.

According to the instructions, you have to plot one point on the midline, and one of the minimum and one of the maximum values.

We know that the minimum value of sine is located at 3π/2 and that the maximum is located at π/2, so these points have to have those x coordinates respectively.

Plot the following points:

Those are (1.57, 3), (3.14, 2) and (4.71, 1).

The graph should look like this:

\(x + 8 = - 3 \\ x = -3 - 8 \\ x = - 11\)

OPTION (D) SUITS ..IT IS THE SOLUTION.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

Step-by-step explanation: