The scatter plot shows the number of hours worked and money spent on entertainment by each of 24 students. Also shown is the line of best fit for the data. Fill in the blanks below.​

Answer:

1/3

Step-by-step explanation:

7/21 = 1/3

This is because 21 & 7 are both multiples of 7. 7 / 7 = 1. 21 / 7 = 3.

That makes it 1/3.

Hope that helps! :)

Answer:1/3

Step-by-step explanation:to simplify, divide both numerator and denominator by 7

7/7=1 and 21/7=3

Answer:

625/100,000,000 or 6.25 out of one million

Step-by-step explanation:

(0.005)^4 = .000000000625  =  625/100,000,000

The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].

It is a branch of mathematics that deals with the occurrence of a random event.

The probability that a computer fails on any single day is 0.005.

Let X denotes no. of computers fail on day

So, n = 4 , p = 0.05, q= 1-0.05=0.995

P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]

P (X = 4)

= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]

=1* 0.00000000063*1

=0.00000000063

=6.3*[tex]10^{-10}[/tex]

Hence, the probability that all four computers fail on one day is

=6.3*[tex]10^{-10}[/tex].

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Answer:

line and point

hope it's correct..

Answer:

Im pretty sure its 130%

Step-by-step explanation:

Answer: x= 108°, y=36°, and z= 30°

Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.

(3z+18) and x are corresponding angles so they're equal to each other.

Answer:

you eat 1 chip

Step-by-step explanation:

eat 1 chip and you get 31 oz

Answer:

5

4.5

Step-by-step explanation:

edge

Answer: Betsy is incorrect.

Step-by-step explanation:

The area of a trapezoid is a+b/2 multiplied by h.

First, we should do 5+8/2= 6.5

Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.

6.5 times 4= 26

Betsy thought the answer was 52, but it is 26 so she is incorrect.\

I hope this helps, may god bless you! :)

Answer:

i cant rlly see the question bc its cut out but i yhink its 8

Step-by-step explanation:

total Amount of Marbles in the bag is:

5 + 3 = 8

So, since there are 5 Red marbles, the probability of drawing one is 5 / 8.

Now that you pulled that marble out, you have 7 marbles total left in the bag, 4 of those are read (5 originally, minus the one you took out.

So, the probability of the second round is 4/7.

To find the overall probability, you multiply those probabilities together:

4/7*5/8 = 20/56

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

Answer:

2,3,5,6,9,10

Step-by-step explanation:

Answer:

We know that

6 × 3 = 2 × x

18 = 2x

x = 9

Answer:

Answer is in the step by step explanation

Step-by-step explanation:

Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles

Then AC is congruent to AC, that's reflexive prop

Now we have SAS, so Tri. ABC cong to tri. CDA,

Then you're done

Answer:

Step-by-step explanation:

BC = AD                           Given

<BCA = <CAD                  Alternate interior angles of parallel lines cut by a transversal.

AC = AC                           That's the reflexive property. A line is equal to itself

Triangle BCA = Triangle CAD    SAS

Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.

The constant of proportionality of the proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y, is given as follows:

4.

The standard definition of a proportional relationship is given as follows:

y = kx.

Hence the solution for the constant is given as follows:

k = y/x.

As the table represents a proportional relationship, the constant can be calculated from any pair, hence:

k = 20/5 = 4.

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Answer:

B. 6/13

Step-by-step explanation:

No of sample space, n(s) = 13

Prime numbers

= ( 2 , 3 , 5 , 7 , 11, 13 )

No of favourable cases, n (e) = 6

Now

Probability that the number on it is a prime number is

P(E) = n(e) / n(s)

= 6/13

Hope it will help :)❤

Answer:

16 feet

Step-by-step explanation:

6 yards of ribbon = 6 x 3 =18 feet

ribbon used = 18 -2 = 16 feet

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

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Answer:

I'd do (-4-7i)-(4-5i)=-8-2i

Answer:

V = 23 cm 3

Step-by-step explanation:

Answer:

The answer is 10

Answer:

solution given:

height [h]=7ft

side 1=7ft

side2=8ft

it is trapezium

so

area of trapezium=[tex] \frac{1}{2} 7(7 + 8)[/tex]

=52.5ft²

Answer:

3. 5cm

[tex]4. \: {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Answer: The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction

Step-by-step explanation:

Step-by-step explanation:

[tex]S _{n} = \frac{n}{2} (2a + (n - 1)d) \\ S _{14} = \frac{14}{2} ((2 \times 101) + (14 - 1) \times -3) \\ =1,141[/tex]

Answer:

the answer is 40 because you count all the squares that are in the shape

Step-by-step explanation:

Answer:

No triangle possible

Step-by-step explanation:

Find the surface area of the sphere in terms of π 7 yd.

We know,

[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².

Radius (r) = 7 yd (Given)

Now,

Surface area of the sphere = 4 × π × (7)²

Surface area of the sphere = 4 × π × 7 × 7

Surface area of the sphere = 196π sq. yd.

Answer:

42

Step-by-step explanation:

To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.

Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!

Answer:

a) The basic rate of pay is 6 sterling pounds per hour.

b) The higher rate of pay is 10 sterling pounds per hour.

Step-by-step explanation:

Both segments of the curve are first order polynomials, which means that each have constant slopes.

a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)

Where:

[tex]\Delta x[/tex] - Change in hours worked, in hours.

[tex]\Delta y[/tex] - Change in pay, in sterling pounds.

If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,120}{20\,h}[/tex]

[tex]r = 6\,\frac{\pounds}{h}[/tex]

The basic rate of pay is 6 sterling pounds per hour.

b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,100}{10\,h}[/tex]

[tex]r = 10\,\frac{\pounds}{h}[/tex]

The higher rate of pay is 10 sterling pounds per hour.