amusement on a particularly boring transatlanfic fight one of the authors am used himseft by counting the heads of the people in the seats in front of him. He noticed that all 37 of them either had black hair or had a whole row to themselves or both. Of this total 33 had black hair and 6 were fortunate enough to have a whole row of seats to themselves. How many black haired people had whole rows to themselves?

The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7

The given ratios are:

Dawn : Mandy = 6 : 7

Mandy : Belle = 2 : 3

Multiply the second ratio by 3.5.

So, we have:

Mandy : Belle = 2 * 3.5 : 3 * 3.5

Evaluate

Mandy : Belle = 7 : 10.5

So, we have:

Dawn : Mandy = 6 : 7

Mandy : Belle = 7 : 10.5

Mandy's ratios in both equation are the same.

So, we have:

Dawn : Mandy : Belle = 6 : 7 : 10.5

Remove Mandy's ratio

Dawn : Belle = 6 : 10.5

Simplify

Dawn : Belle = 4 : 7

Hence, the ratio of Dawn to Belle's savings is 4 : 7

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Answer:

Slope is 1/5
y intercept is (0,0)

Answer:

80 feet

Step-by-step explanation:

Area = length x width

We need to find length

[tex]2280 = 28.5l[/tex]

divide both sides by 28.5

[tex]l = 80[/tex]

Answer: 21 is b. 22 is c

Step-by-step explanation: do u need explanation.. because the questions are multiple choice???

[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]

[tex]\large \boxed{\sf Quadratic \ Function}[/tex]

A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.

There is a better way to understand what type of equation it is after plotting the coordinates on the graph.

After looking so, we can determine this as quadratic function.

** Not a exponential, inverse, linear function **

Quadratic function: y = a(x - h)² + k

Locate (h, k) = (2, -4)

Take any other suitable point for example = (0, 0)

Insert values to find (a),

a(0 - 2)² - 4 = 0

4a = 4

a = 1

Now Join together: y = 1(x - 2)² - 4   --- Quadratic Equation

Exponential

It should be a parabola

The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex

So on both sides of vertex i e same distance on x from vertex the two x values have same y value .

Observe the table and find similar y values

FIND midpoint of x which is axis of symmetry

We have been sured axis of symmetry is at x=2

Form equation

Put (5,5)

Final equation

Answer:131

Step-by-step explanation:

hope this helps <3

The probability of P (pass | afternoon) is 0.37 and the probability of P(pass | afternoon) is 0.71 and the probability of P (pass | afternoon) has greater chance of passing it than the probability of P (pass | afternoon)

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

From the data given:

P(pass | Morning) = 28/75 = 0.37

P(pass | afternoon) = 53/75 = 0.706 ≈ 0.71

Thus, the probability of P(pass | afternoon) has greater chance of passing it than the probability of P(pass | afternoon).

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Answer:

The biggest - the smallest

612-120=492

Answer:

612 - 120=492

Step-by-step explanation:

to find the range the formula is to list the data set from smallest to largest, then subtract the smallest from the largest. 120, 145, 212, 349, 515, 590, 612= 612 - 120= 492

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

Answer:

rounded = 170 in^3 and 2nd question =2.772 in^3

Step-by-step explanation:

h: 12 1/8 = 12.125

w: 1 3/4 = 1.75

l: 8

----------------------------------

h*w*l = 169.75 in^3

rounded = 170 in^3

oh there's another.. wait

same with this question

.----------------------------------

h*w*l

10.5 * 12 * 22 = 2.772 in^3

Answer:

84

Step-by-step explanation:

There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.

Hope this helps!

Answer:

84

Step-by-step explanation:

Based on the treasure map, a person standing at the cup cakes table must walk in the North direction to find the swings​.

A compass simply refers to a scientific instrument that is made up of a magnetized pointer (needle), which is typically used to show and find the following four (4) main cardinal directions on a map:

Based on the treasure map in the image attached below, a person standing at the cup cakes table must walk in the North direction to find the swings​.

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Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

At the null hypotheses, it is tested if the mean is of 150, that is:

[tex]H_0: \mu = 150[/tex]

At the alternative hypotheses, it is tested if the mean is different of 150, hence:

[tex]H_0: \mu \neq 150[/tex].

The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

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Answer:

[tex]5y=-4[/tex]

Sure hope this helps you  :D

Answer:

red colour is 7...blue is 3 ...green 9...yellow 13...purple 8

[tex](0.0)(1.2)[/tex]

Answer:

7/20

Step-by-step explanation:

add the probabilities together and minus it by the LCM which is 20

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Answer: constant of proportionality = 2.5

Answer:

equate the two euations

y = 2x - 1 multiply by 4

4y = 8x - 4 equate with the second equation

5x - 4y = 1

5x = 8x - 4 + 1

8x - 5x = 3

3x = 3

x = 1

substitute for x in any of the two equations

y = 2x - 1

y = 2(1) - 1

y = 2 - 1

y = 1

Therefore, according the solution we have got.

Yes, (1,1) is a solution to the system.

Answer:

[tex]17\sqrt{7z}[/tex]

Step-by-step explanation:

[tex]7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}[/tex]

Step-by-step explanation:

the only thing that I can tell you about it

Answer:

The other rectangle is 4 squares unit.

Step-by-step explanation:

Area Rectangle Formula: Area = Length * Width

Area R1 = 3 * 3 = 9

Area R2 = (7 - 3) * (3 - 2) = 4 * 1 = 4

Answer: Area of a rectangle that is 4 square units.

Step-by-step explanation:

     See attached for my work.

    The area of a rectangle can be found with A = L * W.

Step-by-step explanation:

1.

when 3 coins are flipped the following outcomes are possible

h = heads, t = tails

h h h

h h t

h t h

h t t

t h h

t h t

t t h

t t t

yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means

2×2×2 = 2³ = 8 possibilities.

2.

at least 2 tails means 2 or 3 t in the list item :

h t t

t h t

t t h

t t t

3.

so, 4 out of the 8 possible outcomes. the probability is then therefore

4/8 = 1/2 = 0.5

Answer: h₁ = ~2790.9943 meters tall

Step-by-step explanation:

[tex]h_1 = h_2 + h_3[/tex]

h₂

h₃

h₁