Ten students take a test. Five students get a 50. Four students get a 70. If the average score is 55, what was the last student’s score?

Answer:

it should be yes. if there are no values for A and C then yes the answer is correct.

Answer:

2a + 2c = b

Step-by-step explanation:

a = 1/2 b -c

Add c to each side

a+c = 1/2 b- c+c

a+c = 1/2 b

Multiply each side by 2

2( a+c) = 2 * 1/2 b

2a + 2c = b

Answer:

4.(3)

Step-by-step explanation:

3x+3 = 12

Subtract 3 to both sides.

3x = 9

Divide the left side by 3, then divide the right side by 3

x = 3

Answer:

Hi! your answer should be D. 3

Step-by-step explanation:

1. 3x+3=12

-3 -3

2. 3x=9

÷3 ÷3

3. x= 3

[So, your answer should be D. x=3]

Hope this helps!

Answer:

X=2,-4

Step-by-step explanation:

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y  with  0  and solve for  x .

Answer:

A 95% confidence interval estimate of the mean age of all race car drivers is [26.65 years, 37.35 years].

Step-by-step explanation:

We are given below the ages (in years) of randomly selected race car drivers;

Ages: 32, 40, 27, 36, 29, 28.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                           P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean age = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{32+40+27+36+29+28}{6}[/tex] = 32 years

           s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex]  = 5.1 years

           n = sample of car drivers = 6

           [tex]\mu[/tex] = population mean age of all race car drivers

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.571 < [tex]t_5[/tex] < 2.571) = 0.95  {As the critical value of t at 5 degrees of

                                                freedom are -2.571 & 2.571 with P = 2.5%}  

P(-2.571 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.571) = 0.95

P( [tex]-2.571 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.571 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.571 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.571 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.571 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.571 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                                  = [ [tex]32-2.571 \times {\frac{5.1}{\sqrt{6} } }[/tex] , [tex]32+2.571 \times {\frac{5.1}{\sqrt{6} } }[/tex] ]

                                                  = [26.65, 37.35]

Therefore, a 95% confidence interval estimate of the mean age of all race car drivers is [26.65 years, 37.35 years].

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

Answer:

10feet

Step-by-step explanation:

We solve this question, using Pythagoras Theorem to solve for the other side.

Pythagoras Theorem states that

c² = a² + b²

c = √(a² + b²)

In the question, a = 6 feet

b = 8 feet

c = length of the rope

c = √6² + 8²

c = √36 + 64

c = √100

c = 10 feet

The length of the rope is 10 feet

Answer:

Right now it would be

[tex]-40[/tex]

Since desend means down add -20 to -40

[tex]-40+(-20)=-60[/tex]

         or

[tex]-40-20=-60[/tex]

Then is goes up 35, which is positive

[tex]-60+35=-25[/tex]

Therefore, the answer is -25

Hope this helps

Answer by

Fishylikeswater

Answer:

A. -25M

Step-by-step explanation:

The submarine starts at -40M underwater which then it descends ( goes down ) another -20M which added means it is now -60M underwater. It then rises 35M so you would then add -60M + 35M = -25M

Hope this helps :)

Answer:

Option (3)

Step-by-step explanation:

Given graph in this question is an exponential graph.

Parent function representing the graph is,

y = eˣ

When the parent function is shifted 4 units downwards, the new function after the translation will be,

y = eˣ - 3

Therefore, equation representing the graph is, y = eˣ - 3.

Option (3) will be the answer.

Answer:

y = e Superscript x Baseline minus 3

or the 3rd option

Step-by-step explanation:

Answer:

Second Graph, Top Right

Step-by-step explanation:

When the points from the top right table are graphed, they form a slight curve. This means that they are not a linear function.

Answer:

second graph top right

Step-by-step explanation:

compared to the others this graph is not linear

Answer:

15 units

Step-by-step explanation:

Distance from the x-axis is measured vertically, so you would look at the second number of the coordinates, the y value. Point Z is 15 units below the x-axis.

Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.

What is the axis?

An axis in mathematics is defined as a line that is used to make or mark measurements.

Here given that,

[tex]Z= (16,-15)[/tex]  which is on the x-axis.

So,

The shortest distance between the coordinate [tex](16,-15)[/tex] and [tex](16,15)[/tex].

Now, applying the distance formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here,

[tex](x_1,y_1)=(16,0)\\(x_2,y_2)=(16,-15)[/tex]

Substituting these values in the formula

[tex]d=\sqrt{(16-16)^2+(-15-0)^2}\\\\d=\sqrt{(0)^2+(-15)^2}\\\\d=\sqrt{0+225}\\\\d=15[/tex]

Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.

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Answer:

13x+10

Step-by-step explanation:

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+5+2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x+10

The perimeter is 7x+10

Answer: 20ways

Step-by-step explanation:

Number of candies = 7

Number of kids = 4

Since each kid must receive at least one candy ;

Therefore number of candies left to ration is

7 - 4 = 3 candies ; among 4 kids.

To share 'n' identical object among 'r' number of individuals can be expressed in the form :

[n+(r-1)Cr-1]

n = 3 ; r = 4

[3+(4-1)C4-1] = 6C3

Recall: nCr = n! / (n-r)!r!

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

= (6 * 5 * 4) / (3 * 2 * 1)

= 120 / 6

= 20ways

Answer:

$40.25 per hour

Step-by-step explanation:

If you multiply 35 by 15% you get 5.25. You can either add this on, or you can multiply by 1.15 instead of .15.

Answer:

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

5

= -0.4

θ =  

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

or

y =  

- 2 x

5

–  2

5

When x=0, y = -0.4

When y=0, x = -1

Answer:

Step-by-step explanation:

Slope (m) =  

ΔY  

ΔX  

=  

-2  

5  

= -0.4  

θ =  

arctan( ΔY ) + 360°  

ΔX  

= 338.19859051365°  

ΔX = 4 – -6 = 10  

ΔY = -2 – 2 = -4  

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269  

Equation of the line:  

y = -0.4x – 0.4  

or  

y =    

- 2 x  

5  

–  2  

5  

When x=0, y = -0.4  

When y=0, x = -1

Answer: The son is 30 and the mother is 60

Step-by-step explanation:

Mother's age = m

Son's age  = s

m = s + 30

m-15 = 3(s - 15)

m - 15 = 3s - 45

m = 3s - 30

(Substitution)

s + 30 = 3s - 30

2s = 60

s = 30

m = 60

Hope it helps <3

Trick question---

Just kidding I think that 15 years ago his mother was 45

he was 15 and now he is 30 and she is 60.

literally sat here thinking that 30 is ruled out, and 60 would be 20 but then she'd be too old, suddenly it clicked, if you said he'd be half her age now, it'd be to easy, because half her age now would be 30 and it'd give the answer straight away.

You or your teacher has a big percentage of the brain used. I respect.

Answer:

xx

Step-by-step explanation:

Answer:

f(x) = |x|

g(x) = |x| - 2

h(x) = |x| + 3

Step-by-step explanation:

All the functions graphed represent the absolute value functions.

Since function g(x) passes through (0, 0) and (1, 1),

Let the equation of a line passing through these points is,

y = mx + b

Slope of the line passing through these points 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}[/tex]

m = 1

y-intercept of the line 'b' = 0

Therefore, equation of the line will be,

y = x

And the function representing the two lines (both are the mirror images) joining at the origin will be,

f(x) = |x|

When the parent function is shifted 3 units up, the new function will be

h(x) = |x| + 3

When the parent function is shifted 2 units down,

g(x) = |x| - 2

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines  we can get the y- intercept

[tex]y = 10x + 30\\\y= mx+c[/tex]

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

The y-intercept in this model for the average gym costs is 30.

In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.

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The table to represent a linear function with a rate of change of +5

So, m = 13 + 5 = 18

a = 18

The slope-intercept pattern of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept.

The graph in the table shows a linear function.

The linear function's general equation is written as y = ax+b, where a is the slope and b is a constant.

Finding the linear function's equation by using the first and third points from the table

at x = 3  ⇒ y = 13   and   at x = 5 ⇒ y = 23

13 = 3a+b → (1)

23 = 5a+b → (2)

solve (1) and (2) to find a and b

So,  a = 5  and b = -2

∴ y = 5x - 2

After that by substitution with x = 4 int the equation of y

∴ y = 5*4-2 = 18

m= 18

Thus, option C is correct.

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Answer:

Using SohCahToa we know it will be opposite over adjacent, opposite being the side across from theta and adjacent being the side next to theta, Using Toa we know it will be opposite over adjacent so the answer will be 6/2sqrt5

If they wants you to simplify more than you cant have a sqrt on the bottom so to fix this you will multiply the top and bottom by sqrt5 leaving you with 6sqrt5/ 2*5 or 6sqrt5/15

hope this helped

Answer:

C. 3^5/5

Step-by-step explanation:

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

[tex]u(n) = a {r}^{n - 1} [/tex]

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

Answer:

y = 2x - 3

Step-by-step explanation:

Slope intercept equation of a line:

y = mx + b

(0, -3) is the y-intercept, so b = -3

We have

y = mx - 3

Now we use the two points to find the slope.

slope = m = (-3 - 5)/(0 - 4) = -8/(-4) = 2

y = 2x - 3

Answer:

4,5x+-3

Step-by-step explanation:

Answer:

Given that “The amount of money in my wallet is more than $10, but less than $20 " can be written in inequality form as

10 < w <  20   where  " w"  is the amount in the wallet .

1 ) Puzzle : -

Ryan  is eating cookies . His mother ask how many cookies did he have .

He said number of cookies he ate is more than 19 and less than 41 .

We can write it in equality form as  19 < x < 41 where  ' x ' is number of cookies Ryan have .  

2) Puzzle :-

Number of steps a child take in an hour is more than 19 and less than 41 .

Write the situation in inequality form .

19 < p < 41 where  " p " is the number of steps a child take in an hour .

3) Puzzle :-

Mother said to his child : " the number of  coins in your piggy bank is more than 19 and less than 41 .

19 < c < 41  where " c " is number of coins in piggy bank .

Step-by-step explanation:

Answer:

25 units.

Step-by-step explanation:

The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.

Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.

Now that we know the triangles are similar, we can construct a proportion...

[tex]\frac{16}{20} =\frac{20}{x}[/tex]

That means that 4/5 = 20/x

1/5 = 5/x

x = 25

Hope this helps!

Answer:

120 km squared.

Step-by-step explanation:

The shape shown has 5 sides: three rectangles and 2 triangles.

If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.

The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.

So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.

And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.

Hope this helps!

Answer: 0.20

Step-by-step explanation:

As per given :

P(student enrolled in a math class ) = 65% = 0.65

P( student enrolled in a science class) = 43%= 0.43

P( student enrolled in both ) = 13% = 0.13

Formula of conditional probability :

[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]

Using the above formula,

The probability that the student is enrolled in a science class given that he is enrolled in maths class :

[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]

Hence, the probability that the student is also enrolled in a science class =  0.20 .

Answer:

participants (random sampling) will determine the population to which we ... In other words, they had obtained a census rather than a sample. ... population characteristics from a relatively small representative sample of 2,000 to 3,000 people.

Answer: I'm Pretty sure its census

Step-by-step explanation: have a great day

Answer:

[tex]\boxed{V = 1436.8 cm^3}[/tex]

Step-by-step explanation:

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 7 cm

Volume of Sphere = [tex]\frac{4}{3} (3.14)(7)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(343)[/tex]

V = 4310/3

V = 1436.8 cm³

Answer:

Solution,

Radius= 7 cm

Volume of sphere:

[tex] \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {7}^{3} \\ = \frac{4}{3} \times 3.14 \times 343 \\ = 1436.8 \: {cm}^{3} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

<3, 7>

AND

[tex]\left[\begin{array}{ccc}3\\7\end{array}\right][/tex]

Step-by-step explanation:

I did the plato

The vectors that represent the reflection of the vector across the x-axis are; <3, 7> and [tex]\left[\begin{array}{ccc}3\\7\end{array}\right][/tex].

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

The vectors that represent the reflection of the vector across the x-axis are;

<3, 7> and [tex]\left[\begin{array}{ccc}3\\7\end{array}\right][/tex].

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