In the graph above what is the average speed for the object?

a. 0.4m/s
b. 2.5m/s
c. 3m/s
d. 0.8m/s

The number is 7. Let's represent the number as "x." According to the given information, "Twice a number added to 13 is equal to 27," which can be expressed as an equation.

2x + 13 = 27

Now, solve the equation for "x":

Subtract 13 from both sides:

2x = 27 - 13

2x = 14

Divide both sides by 2:

x = 14 / 2

x = 7

Therefore, the number is 7.

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Systematic sampling involves selecting every nth item from a list, potentially with bias and non-random results, so choose carefully.

The method used to choose the sample in this study is called "systematic sampling". This involves selecting a starting point (in this case using a random number generator) and then selecting every nth item (in this case, every 3rd person) from a list to form the sample. This type of sampling can introduce biases in the sample if the list has some pattern or structure, so it's important to be aware of these potential issues when using this method.

In systematic sampling, the selection of each member of the sample is based on a fixed and systematic rule. The advantage of this method is that it is easy to implement and cost-effective. The disadvantage is that if the list has any pattern or structure, such as alternation or clustering, the sample may not be representative of the population. It's important to carefully consider the list and choose an appropriate starting point and interval to reduce the potential for bias.

It's also worth noting that systematic sampling may not result in a random sample, as the sample members may not be independent of each other. This can have implications for the validity of inferences made from the sample to the population. Therefore, it's important to carefully consider the properties of the population and the goals of the study when choosing a sampling method.

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Answer:

C. (5,1)

Step-by-step explanation:

10x+5y=55 equation 1

y-2x=-9 equation 2

y=-9+2x isolate y in equation 2

10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1

10x-45+10x=55

20x=100

x=5

solve for y by using x value (5) in either equation

y-2x=-9

y-2(5)=-9

y-10=-9

y=1

Answer:

Parent's share would be : 28%

Step-by-step explanation:

Cost of the computer = $2000

Anya's share = $1200

Brother's share = $240

Parents paid rest. That will be : 2000 - 1200 - 240 = $560

Percentage of parents share :

                                             \(\frac{560}{2000} \times 100 = 28 \%\)

Answer: 1. -140 2. -10 3. 67 4. 230 5. 420

Step-by-step explanation:

Answer:

42 because 3 tens is 30 and 12 ones is 12. so you do 30 + 12 = 42

Answer:

42

Step-by-step explanation:

3 tens=30

12 ones=12

30+12=42

Answer: 2nd one trust me

Step-by-step explanation:

Answer: 1.3

Step-by-step explanation:

If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer

Therefore , the solution of the given problem of ratio comes out to be side lengths for each dimension would be 16 feet broad and 40 feet long.

A collection of integers "a" but instead "b" that seem to be equal can be found using the straightforward algorithm "a / b," at which "b" may be larger than zero. A ratio is created by combining two variable ratios. The ratio would just be 1:1 if there were just one male and three women. There are 1/4 men and 3/4 ladies in the group. Parts might be a separation between objects, a number, or a specific volumetric proportion of a component.

Here,

Call this element "x" for short.

As a result, the new breadth will be 8x and the new length, 20x.

We want a rectangle with the same aspect ratio to be formed by these new measurements.

We can make up the following equation in order to determine the value of "x" that preserves this aspect ratio:

=> (width of new rectangle / length of new rectangle) =

=> (length of original rectangle / width of new rectangle (width of original rectangle)

=> (20x) / (8x) = 20 / 8

When we simplify this solution, we obtain:

=> 2.5 = 2.5

Given that this equation holds for any value of "x," we can select any value of "x" and still retain the same aspect ratio.

So a rectangle with the same ratio of side lengths for each dimension would be 16 feet broad and 40 feet long.

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Answer:  See the Venn diagram below

Explanation:

The numbers 1, 2, and 6 are in both set X and set Y. These numbers go in the overlapped region of the circles.

Since 1,2,6 is already taken care of, the remaining values in set X (3 and 8) will go in circle X, but outside circle Y.

The value 5 goes in circle Y, but it's outside circle X.

So far we talked about the numbers 1,2,3,5,6,8. But we're missing 4 and 7. These numbers go outside both circles. Everything is inside the universal set, i.e. the rectangle.

Answer:

2/3 or 0.66 repeated

Step-by-step explanation:

Since 2022 is only divisible by 1,2,4, and 5, the probability of getting a number that is a divisor of 2020 is 4/6, simplified to 2/3 or %0.66.

Answer:

Step-by-step explanation:

Reasonable. 7.5 = 7.50

7.52 > 7.50

subtract 7.50 from both sides

0.02 > 0

Answer:

4/5

Step-by-step explanation:

Slope

    Slope y-intercept of a line: y = mx + b

Where m is the slope and b is the y-intercept.

 \(\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}\)

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This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.

So that we can conclude that the slope is 4/5.

Answer:

A

Step-by-step explanation:

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Answer:

1.) 0.54 ; 0.46

2.) 0.50 ; 0.40 ; 0.05 ; 0.85 ; 0.15

Step-by-step explanation:

A = feel guilty about wasting food ; P(A) = 0.39

B = feel guilty leaving lights on ; P(B) = 0.27

Probability of feeling guilty for doing both = 0.12

P(AnB) = 0.12

1a.) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

P(AuB) = P(A) + P(B) - P(AnB)

= 0.39 + 0.27 - 0.12

= 0.54

1b.) What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

P(AuB)' = 1 - P(AuB)

P(AuB)' = 1 - 0.54

P(AuB)' = 0.46

2.)

n(ACC) = 10

n(SEC) = 8

n(total) = 20

n(ACC n SEC) = 1

a. What is the probability the ACC will have a team in the championship game (to 2 decimals)?

n(ACC) / n(Total) = 10 /20 = 0.50

b. What is the probability the SEC will have a team in the championship game (to 2 decimals)?

n(SEC) / n(Total) = 8/20 = 0.40

c. What is the probability the ACC and SEC will both have teams in the championship game (to 2 decimals)?

1 /20 = 0.05

d.)

P(AuB) = P(A) + P(B) - P(AnB)

= 0.50 + 0.40 - 0.05

= 0.85

e.)

P(AuB)' = 1 - P(AuB)

P(AuB)' = 1 - 0.85

= 0.15

Answer:

Step-by-step explanation:

Let's start by finding out how much money Tim will save over the three months:

$45.06 x 3 = $135.18

To find out how much Tom needs to earn each month, we can subtract Tim's savings from the total amount they need:

$210.51 - $135.18 = $75.33

So, Tom needs to earn $75.33 each month for three months to reach their goal of buying the game system.

Answer:

$25.11

Step-by-step explanation:

Tim's savings = 3 x 45.06 = 135.18

The total needed is 210.51.

So subtract what Tim is saving ($135.18) to see what the remainder is.

210.51 - 135.18 = 75.33.

Tom needs to save $75.33 over 3 months. So divide 75.33 by 3.

75.33 / 3 = $25.11.

Check: $25.11 x 3 = 75.33 >>> That's Tom's savings

45.06 x 3 = 135.18 >>> That's Tim's savings

Add them up

75.33 + 138.18 = 210.51

Answer: 95.5

Step-by-step explanation:

If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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The number of hours where the fees for both studios would be the same is 5 hours.

From the information illustrated Midwest charges a $10 signup fee and $32 per hour for rental fees. This will be 10 + 32h.

Big & Bad charges only $20 each hour plus a $70 registration fee. This will be 70 + 20h.

Let h = number of hours

The equation will be:

10 + 32h = 70 + 20h

Collect like terms

32h - 20h = 70 - 10

12h = 60

Divide

h = 60/12

h = 5

The number of hours is 5.

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Answer:

8 tablespoons

Step-by-step explanation:

We know that 1 cup = 16 tablespoons.

Divide by 2 on both sides.

1/2 cup = 8 tablespoons.

Considering the expression of a line, the equation of the line that passes through the points (-2,-2) and (8,0) is y= -1/5x + 8/5.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷ (x₂ -x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, the value of the "b" can be obtained.

Being (x₁, y₁)= (-2, 2) and (x₂, y₂)= (8, 0), the slope m can be calculated as:

m= (0 - 2)÷ (8 -(-2))

m= (0 - 2)÷ (8 +2)

m= (-2)÷ (10)

m= -1/5

Considering point 1 and the slope m, you obtain:

2= (-1/5)×(-2) + b

2= 2/5 +b

2 -2/5= b

8/5= b

Finally, the equation of the line is y= -1/5x + 8/5.

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\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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