Find the value of x.

Answer:

the mean mark for girls is 86

Step-by-step explanation:

62x20+10xX=70*(10+20)

The way that bivariate data would be displayed is through analysis  of them visually by the use of scatterplots.

A scatter plot is one that is typically used to show the bivariate data. Here, the y-axis is said to be plotted against the x-axis and this is one that is often done a grid of paper to show or depict the relationship between the provided data sets.

The act of Comparing the two sets of data or knowing a correlation between the two variables is the main goal of bivariate data.

Therefore, the use of scatterplot is the best way to graphically show bivariate data.

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[/tex]P(E)+P(E')=1 \\

P(E')=1-P(E)\\

where E and E' are opposite events

[tex]

P(E')=1-P(E) \\ P(E')=1- \frac{20}{31} \\ P(E')= \frac{31 - 20}{31} \\ P(E')= \frac{11}{31} \approx0.3548[/tex]

By using basic arithematic operations we concluded that the temperature at 6 pm was - 9.8°F.

Arithmetic operation is the study of numbers and the operations on numbers that are used in all other branches of mathematics. It primarily consists of basic operations like addition, subtraction, multiplication, and division.

The temperature at 09:00 am = -6.9°F.

The tempertaure increased by 5.4°F till noon

So, the final tempertaure at noon = - 6.9°F + 5.4°F

                                                        = - 1.5°F

Then, again the temperature increased by 7.2°F from noon till 3 pm.

So, the final tempertaure at 3 pm = - 1.5°F + 7.2°F

                                                        =  5.7°F

Then, again the temperature by dropped 15.5°F from 3 pm to 6 pm.

So, the final tempertaure at 6 pm = 5.7°F - 15.5°F

                                                        = - 9.8°F

Therefore the temperature at 6 pm was - 9.8°F.

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Answer:

41 adults and 82 kids

Step-by-step explanation:

divide 123 by 3 two parts are kids one part is adults.

The Grassgreen required by the company to mix with 15 kg of Britegreen is 22.5 kg.

The price of Britegreen grass seed =  £18 per kilogram.

The price of Grassgreen grass seed = £21 per kilogram.

Let the weight of Grassgreen mixed be 'x'.

The weight of Britegreen mixed be 'y' = 15 Kg.

The ratio of of the weight s given as Britegreen: Grassgreen = 2:3.

Thus,

y/x = 2/3

Cross multiplying;

3y = 2x

Or,

x = 3y/2

Put y = 15

x = (3×15)/2

x = 22.5

The the weight of the Grassgreen be mixed with the 15 kg of Britegreen is 22.5 kg.

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Answer:

3/14,41,200√ least to greatest

Answer:

42/5% as a decimal is 8.4

The cost of staying at Hillsborough State Park in Thonotosassa, Florida, for 5 nights is 104 dollars.

A function can be thought of as an output for the given set of inputs.

According to the given question  PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee  of $20 per night.

This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the number of nights spent camping.

∴ The cost of staying for 5 nights we can determine by putting x = 5 in f(x).

So, f(5) = 20(5) + 4.

f(5) = 100 + 4.

f(5) = 104 dollars.

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Answer:

88

Step-by-step explanation: The measure of the exterior angle is equal to the sum (adding together) of the interior angles. 42+46=88.

The cost for each pound of walnuts is $ 2.25 and each pound of chocolate chips is $ 1.5.

We are given that:

Cost of 4 pounds of walnuts and 8 pounds of chocolate chips = $ 21.

Cost of 2 pounds of walnuts and 3 pounds of chocolate chips = $ 9.

Let the cost of pounds of walnuts be x and the cost of pounds of chocolate chips be y.

So, we get the following equations:

4 x + 8 y = 21    …(1)

2 x + 3 y = 9

2 x = 9 - 3 y

x = 1 / 2 (9 - 3y)   …(2)

Put the value of x in (1)

4 ( 1 / 2 (9 - 3y) ) + 8 y = 21

2(9 - 3y) + 8 y = 21

18 - 6 y + 8 y = 21

2 y + 18 = 21

2 y = 21 - 18

2 y = 3

y = 3 / 2

y = 1.5

x = 1 / 2 (9 - 3y)

x = 1 / 2 ( 9 - 4.5)

x = 1 / 2 ( 4.5)

x = 2.25

Therefore, we get that, the cost for each pound of walnuts is $ 2.25 and each pound of chocolate chips is $ 1.5.

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Answer: The answer is in the picture!

Step-by-step explanation:

Based on the graph of the function shown, we can logically deduce the following:

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph of the discrete function shown, we can infer and logically deduce the following:

In conclusion, the function which this graph represents is a discrete function because both the domain and range have discrete set of values, rather than intervals.

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Answer:

the shoes

Step-by-step explanation:

the shoes never changed, and the amount money sarah has remaining will depend on the shoes.

In San Francisco, the tax on a property with a $860,000 assessed value is $12900.

In Tacoma, the tax on a property assessed at $330,000 is $4,950.

The tax rates are proportional to this city.

Now, to find the tax on a property assessed at $860,000.

So, we need to determine the tax rate of Tacoma first.

Tax Rate = Tax / Property assessed × 100.

[tex]Tax {~}rate = \frac{4950}{330000} \times 100[/tex]

Tax rate = 0.015 × 100

Tax rate = 1.5%

From the question, the tax rates are proportional.

Now, we apply the same tax rate as Tacoma in this city:

Tax = tax rate of property assessed.

Tax = 1.5% of $860,000

[tex]Tax=\frac{1.5}{100} \times 860000[/tex]

Tax = 1.5 × 8600

Tax = $12900

Therefore, the tax on property in San Francisco assessed at $860,000 is $12900.

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Answer:

5 (1 + 5)

Step-by-step explanation:

It would be this because the 5 would distribute itself multiplying into the 1 and other 5 equaling 5 + 25 and it is in the distributive property.

Answer:

Step-by-step explanation:

3,000 divided by the 500 is 6. It would take 6 days.

When you come across problems like this usually the best way to answer them is d (distance) divided by s (speed, miles per day, miles per hour, miles per second, etc.).

The rate of acceleration of the skateboarder is 2m/s²

Acceleration can be described as the speed of an object during a period of time

The formula is

v= u + at

v= 40m/s

u= 10m/s

time= 15 seconds

40 = 10 + 15a

40-10= 15a

30= 15a

a= 30/15

a= 2

Hence the rate of acceleration of the skateboarder is 2m/s²

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Answer: 5.8%

Step-by-step explanation: .

The no. of sales made by the agent if he calls 20 clients is 43.

The basic equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line and can be represented graphically. A linear equation is a straightforward way of representing a mathematical statement. Unknown quantities can be represented by any variable or symbol, but in most cases, in a linear equation with one variable, a variable 'x' is used to represent the unknown quantity.

No. of sales =18.9476+1.1842x

Here x = no. of phone calls

The agent calls 20 client.

So, x = 20

Put x = 20 in the given no. of sales. equation

No. of sales = 18.9476 + (1.1842)(20)

No. of sales = 18.9476+23.684

No. of sales = 42.6316

Since the number of sales can't be in decimal numbers, so we will round off the given no. of sales.

Therefore, the no. of sales = 43

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Answer:

25 q + 10 d + 5 n + 60 = 187

Step-by-step explanation:

$1.87 = 1.87 x 100 = 187 cents or 187 pennies

Each quarter is worth 25 pennies so q quarters = 25q pennies

Each dime is worth 10  pennies so d dimes = 10d pennies

Each nickel is worth 5 pennies so n nickels = 5n pennies

so 25q + 10d + 5n + 60 = 187

Answer: h=9 inches

Step-by-step explanation:

[tex]7.\\a.\\\displaystyle\\A=\frac{1}{2}bh \\[/tex]

Multiply both parts of the equation by 2:

[tex]2A=bh[/tex]

Divide both parts of the equation by b (b≠0):

[tex]\displaystyle\\\frac{2A}{b} =h\\\\Thus,\\\\ h=\frac{2A}{b}[/tex]

[tex]\displaystyle\\b.\\\\A=54\ in.^2\ \ \ \ b=12\ in.\\\\h=\frac{2*54}{12} \\\\h=\frac{2*54}{2*6} \\\\h=\frac{54}{6} \\\\h=9 \ in.[/tex]

Answer:

30/5

15/5

-15/5

-10/5

Step-by-step explanation:

Answer: i got u

Step-by-step explanation:

2*8x+2=3*2x-7
16x+2=6x-7
-6x      -6x
10x+2=-7
     -2   -2
10x=-9
x=-9/10

The mean absolute deviation (MAD) of this data set is 3

The statement is given as

"all of the values are either 3 beats per minute above the mean or 3 beats per minute below the mean"

As a general rule, the mean absolute deviation of a dataset measures the average difference between each data element and the mean value of the dataset

From the statement, we have

Above/Below = 3 beats per minute

This means that

Mean absolute deviation = 3

Hence. the mean absolute deviation (MAD) of this data set is 3

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A. The consumers interviewed in this manner can be considered a random sample of the population as a whole.

B. The sample is a random sample of people who go to malls.

C. It should be noted that the sample applies for just for people who go to that mall.

It should be noted that in a random sample, everyone has an equal chance of being selected.

In this case, the consumers interviewed in this manner can be considered a random sample of the population as a whole. Here, everyone had an equal chance of being picked.

In this case, the sample is a random sample of people who go to malls.

It should be noted that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. This will give the random sample of the people.

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Answer: Option 1

Step-by-step explanation:

We need to multiply each coordinate by 3/2.

Answer:

The maximum number of people that can be invited is 65.

Step-by-step explanation:

Based on the information given in the question, the equation to solve the question will be:

80 + 37x = 2500

80+37x=2500

Step 1: Simplify both sides of the equation.

37x+80=2500

Step 2: Subtract 80 from both sides.

37x+80−80=2500−80

37x=2420

Step 3: Divide both sides by 37.

37x/37 = 2420/37

x= 2420/37

x = 65.4

x ≈ 65