Statistics 4. Hol (a) The average age of 5 students is 9 years. Out of them, the ages of 4 students are 5, 7, 8, and 15 years. What is the age of the remaining student? ​

The table that matches the graph shown is the second table.

It should be noted that in the graph, there's a quadratic equation. The form is given as ax² + bx + c.

When x = 0, y = 2. When x = 1, y is a number between 3 and 4. In the second table x we have y(1) = 7/2. This is in the range.

The graph is attached.

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A function assigns the values. The correct option is D.

A function assigns the value of each element of one set to the other specific element of another set.

The complete options of the question are mentioned in the below image.

The cost  cost c(x) for a taxi ride is given by c(x) =2x + 3.00, where x is the number of minutes. Therefore, the graph of the equation can be drawn as shown below.

Hence, the correct option is D.

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The roots of the quadratic equations are -4 and -1

-2x^(2)-3x+4=0

Expand the equation first

[tex]-2(x^2 - 3x + 4) = 0[/tex]

Find two factor that are multiples of -8 and sum up to give -3, the facors are -4 and -1

Replace -3x with 4x and -x

[tex]-2(x^2 -4x + x + 4) = 0[/tex]

Factorize the equation

[tex]-2 (x (x + 4) + 1 (x + 4)[/tex]

We have

2(x + 1) = 0 and 2(x+ 4) = 0

2(x + 1) = 0

2x + 2 = 0

x = -1

2(x+ 4) = 0

2x + 8 = 0

x = -8/2

x = -4

Therefore, the roots of the quadratic equations are -4 and -1

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Answer:

Did you mean " f(x)=8+4^{x-8} ? " The function you entered was linear, meaning there would be no asymptote.

D: (-∞, +∞)

R: (8, +∞)

Horizontal asymptote at y=8

No vertical asymptote

The area of the parallelogram in the image given is: 42 m².

Area of a parallelogram = base × height

Given the parameters:

Area of the parallelogram = (6)(7)

Area of the parallelogram = 42 m²

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The number sentence that gives the best representation of the plants on the upright stand is 8 × 1 = 8.

Given that the plant is said to be upright, then the number of row would be seen as 1.

The rows of the plants are made up of 2 and the plants in them are said to be 4. Hence we would have 4 x 2 = 8

From here we would conclude that 8 × 1 = 8 is the plants on the upright stand.

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Answer:

The missing number is 11

Step-by-step explanation:

Step-by-step explanation:

x is the number

8x + 4 = 92 (8 times the number plus 4 is 92).

8x = 88

x = 11

the number is 11.

Answer:

 the 1st answer is x = 5, the 2nd answer is x = 7, the 3rd answer is x = 4, the 4th answer is: x = 4, the 5th answer is the exact form: x = - 1/3 but the decimal form is: x = - 0.3, the 6th answer is x = 3.

Brainliest?

Answer:

Formulae can be searched for confirmation : compounding interest with regular payments

Step-by-step explanation:

Calculations do it by yourself

Answer:

clchjtdjgdtklgdlnajajhbshsjzsnnjdndmqjsnsn him

Answer:

m2

Step-by-step explanation:

the 2nd equation is double the first one and the first one is 1

las ecuaciones con fracciones dan:

Sabemos que 5 vueltas es igual a 150 metros, entonces cada vuelta es equivalente a:

v = 150m/5 = 30m

Es decir, cada vuelta equivale a 30 metros.

Ahora simplemente podemos resolver las ecuaciones con fracciones:

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Step-by-step explanation:

If the cost of 5m cloth is Rs.375

Then cost of 80m cloth is (80m× Rs 375)÷ 5m

then the cost of  is 6000 Rs. you can use the criss cross method

5m = 375 Rs

80m = ?

80 × 375 = (30,000) ÷5

?= 6000

Using proportions, it is found that the consultant's salary in dollars per month is of $9,681.67.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

A business based in South Africa pays a consultant in the U.S. 1,570,000 rand per year. Considering the conversion rate, his salary in dollars per year is given as follows:

S = 1570000 x 0.074 = $116,180.

Since a year has 12 months, his salary in dollars per month is given by:

Sm = $116,180/12 = $9,681.67.

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Answer:

8

Step-by-step explanation:

10 minus 4 goes first because of BODMAS so thats 6

then 3 times 2 because again bodmas to thats 6

so then its 8 + 6 - 6

can be done in any order not affected by bodmas

6-6 cancels out so the answer is 8

comment if you want an in depth explanation on bodmas lol

Answer:

x = 4.08

Step-by-step explanation:

As we now, from Trigonometric Identities

So for our Problem , [tex]\alpha =27[/tex]  , [tex]Opposite=x[/tex]  ,  [tex]Adjacent = 8[/tex]

by substituting , then  [tex]tan(27)=\frac{x}{8}[/tex]

by multiplying both sides by 8 , then [tex]x=8tan(27)=4.0762=4.08[/tex]

Using the given linear function, we have that:

The linear function for the number of acres left to mow after x hours is given as follows:

y  = 1350 - 1.2x.

After 20 hours, the number acres is given as follows:

y  = 1350 - 1.2(20) = 1326.

After 100 hours, the number acres is given as follows:

y  = 1350 - 1.2(100) = 1230.

The time it takes to mow all the lawns is given by:

1350 - 1.2x = 0.

1.2x = 1350

x = 1350/1.2

x = 1125 hours

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Answer:

4.95

Step-by-step explanation:

85% of 33 = 28.5

33 - 28.5 = 4.5

Answer:

y>2/3+3

Step-by-step explanation:

Answer:

y<2/3x+3

Step-by-step explanation:

1. Find the slope, the slope is 2/3

2. Find the y-intercept, the y intercept is 3

3. Make an linear equation out of it, y=2/3x+3

4. Dotted or solid? Its dotted which means the answer has to be greater or less than, not equal or less than or equal or greater than

5. Test you have 2 answer choices y<2/3x+3 or y>2/3x+3, input the origin (0,0)

0<2/3(0)+3, 0<3 which is true

0>2/3(0)+3 0>3 which is false

So y<2/3x+3 is the right answer. :)

The exponential function that represents the value of Andres’s account after t years is:

A) Va=500(1.025)^t-3 and Va=464.30(1.025)^t

For Henry, it is given by:

[tex]Vh = 500(1.025)^t[/tex]

Andres starts 3 years later than Henry, hence the equation is:

[tex]Va = 500(1.025)^{t - 3}[/tex]

Applying an exponential simplification, we have that:

[tex]Va = 500\frac{1.025^t}{1.025^3} = 464.3(1.025)^t[/tex]

Hence option A is correct.

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Answer:

11/12

Step-by-step explanation:

2 3/4 ÷ 3

11/4 ÷ 3

11/4 × 1/3

11/12

Answer:

Hello! The answer is 11/12.

Step-by-step explanation:

Convert improper fractions:

[tex]2\frac{3}{4} \\= \frac{11}{4}[/tex]

Change 3 to its reciprocal:

[tex]\frac{1}{3}[/tex]

Multiply:

[tex]\frac{11}{4} * \frac{1}{3} \\= 11/12[/tex]

[tex]2 \times |12-14|=2 \times |-2| =2\times 2=\boxed{4}[/tex]

Answer:

true

Step-by-step explanation:

6(6(13x-2)

36(13x-2)

468x-72

please mark brainliest :D

Answer:

True

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=3x-7\\g(x)=13x-2\\h(x)=6x\end{cases}[/tex]

[tex]h(h(g(x)))[/tex] is a composite function.  

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function means to substitute the function g(x) in place of the x in function h(x), then substitute this in place of the x in function h(x).

Step 1

Substitute the function g(x) in place of the x in function h(x):

[tex]\begin{aligned}h(x) & = 6x\\\implies h(g(x)) & =6(g(x))\\& = 6(13x-2)\\ & = 78x-12\\\end{aligned}[/tex]

Step 2

Now substitute the above in place of the x in function h(x):

[tex]\begin{aligned}h(x) & = 6x\\\implies h \left(h(g(x))\right) & =6(h(g(x)))\\& = 6(78x-12)\\& = 468x-72\end{aligned}[/tex]

Therefore, the statement is true.

To carry out the composite function in one step:

[tex]\begin{aligned}h(x) &=6x\\\implies h(h(g(x))) & = 6\:(h(g(x)))\\& = 6(6(g(x)))\\& = 6( 6(13x-2))\\& = 6(78x-12)\\& = 468x-72\end{aligned}[/tex]

Answer:

x=13

y=11

Step-by-step explanation:

3y+5+52=90

3y=90-57

3y=33

y=33/3=11

4x=52

x=52/4=13

3y+5 and 52 are complementary

Apply angle sum property

The description of graph of the data about relationship of UFO sightings in late 1930s and early 1940s will be :A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).

Given:

Year of incidence                    percent

1936                                         0.9

1937                                         0.8

1938                                          0.8

1939                                          1.3

1940                                           1.4

1941                                            1.2

1942                                            1.7

1943                                             1.8

1944                                              1.6

1945                                              1.5

1946                                              1.5

We have been given the percentages of different years. The points will be (1936,0.9) , (1937,0.8) , (1938,0.8) , (1939,1.3) , (1940,1.4) , (1941,1.2) , (1942,1.7), (1943,1.8) , (1944,1.6) , (1945,1.5) , (1946,1.5).

We have to just plot the points on the graph to find scatter plot. It is called scatter plot as the points are not in line but they are scattered.

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Answer: 10

Step-by-step explanation:

I just took the test!! :)

Answer:

1/16

Step-by-step explanation:

F(-4) = 2^-4

= 1/(2^4) = 1/16

Answer:

x = 1053.07 ft

Step-by-step explanation:

So if you look at the diagram I drew it might become a bit more apparent what you have to do. For this problem you'll need to use one of the six trigonometric functions. In this case you know the angle and the opposite side of the angle, and you need the adjacent side. The trigonometric function tan is defined as [tex]\frac{oppposite}{adjacent}[/tex]. So let's plug in the known values:

[tex]tan(8) = \frac{148}{x}[/tex]

multiply both sides by x

[tex]tan(8) * x = 148[/tex]

Divide both sides by tan(8)

[tex]x=\frac{148}{tan(8)}[/tex]

Calculating tan of 8 degrees using a calculator

[tex]x=\frac{148}{0.141}[/tex]

Simplify

x = 1053.07 ft

In order to determine the coordinates of the circumcenter of triangle DEF with the given vertices, let its circumcenter be P(x, y). Hence, PD = PE = PF.

By squaring all sides of triangle DEF, we have:

PD² = PE² = PF²

From PD² = PE², we have:

(x - 6)² + (y - 0)² = (x - 0)² + (y - 6)²

x² - 12x + 36 + y² = x² + y² - 12y + 36

-12x + 12y = 0    ..........equation 1.

From PE² = PF², we have:

(x - 0)² + (y - 6)² = (x - (-6))² + (y - 0)²

x² + y² - 12y + 36 = (x + 6)² + y²

x² + y² - 12y + 36 = x² + 12x + 36 + y²

-12x - 12y = 0     ..........equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

x = 0 and y = 0.

Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (0, 0).

From PD² = PE², we have:

(x - 0)² + (y - 0)² = (x - 6)² + (y - 0)²

x² + y² = x² - 12y + 36 + y²

12y = 36    

y = 3.

From PE² = PF², we have:

(x - 6)² + (y - 0)² = (x - 0)² + (y - 4)²

x² - 12x + 36 + y² = x² + y² - 8y + 16

-12x - 8y = -20    

-12x - 8(3) = -20

-12x - 24 = -20

12x = -4

x = -1/3.

Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (-1/3, 3).

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