Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

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Answer:

x = 28.744

Step-by-step explanation:

Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.

Tan(32)=x/46

Tan(32)46=x

28.744=x

Answer:

x = t+ka/k

Step-by-step explanation:

First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division

Then you open the brackets which makes x-a = t/k

Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k

Answer:

x = [tex]\frac{t+ka}{k}[/tex]

Step-by-step explanation:

k(x - a) = t ← distribute parenthesis on the left side by k )

kx - ka = t ( add ka to both sides )

kx = t + ka ( divide both sides by k )

x = [tex]\frac{t+ka}{k}[/tex]

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

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Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

Answer:

ITs a plus b then c ding

Step-by-step explanation:

Given the height and the side length of the square pyramid, the length of s is 12.81 cm.

A square pyramid is a three-dimensional object that is made up of a square base and four triangular bases that are joined together at a vertex.

S in the diagram represents the slant height of the square pyramid.

The formula that can be used to determine the slant height is:

s² = r² + h².

Where:

r = side length / 2 = 16/2

s = √8² + 10²

s = 12.81 cm

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Answer:

so i just went on spreadsheets and created this and screenshotted it i hope this helps

Step-by-step explanation:

Answer:

£336 more

Step-by-step explanation:

2100/5 = 420 One fifth of the total lottery.

Colin has four shares so 4X420 = 1680

He then splits it into 10 (2+3+5) parts. 1680/10=168

Wife: 168X5=840

Son: 168X3=504

Wife-Son 840-504=336

Answer:

336£

Step-by-step explanation:

To get the amount of money colin gets

(2100*4)/5=1680

Lets do a table:

2. 5. 3. Sum:10

(2*1680)/10. (5*1680)/10. (3*1680)/10

=336. =840. =504

Answer:

D) 28x + 14y

Step-by-step explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer:

[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

50%

Step-by-step explanation:

the first number represent 0% then 25% then 50% then 75% then 100%

6 was in the half so 50%

Answer: x = 4ooo sin 340 x = 223627 ft.

Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

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Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

                                   = 5 + 3 + 4

                                   = 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

                          [tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Answer:

Hope the picture will help you......

Answer:

[tex]y = \frac{1}{3} x^2[/tex]

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by [tex]\frac{1}{3}[/tex]

FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]

Hope this helps!

Answer:

92.9

Step-by-step explanation:

8.90 times 6 equals 53.40

7.90 times 5 equals 39.50

39.50 plus 53.40 equals 92.9

Answer: B

Step-by-step explanation:

Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 550(1 + 0.06)^t[/tex]

[tex]A(t) = 550(1.06)^t[/tex]

2016 is 26 years after 1990, hence:

[tex]A(26) = 550(1.06)^{26} \approx 2502[/tex]

The approximate number of crimes in the year of 2016 was of 2502.

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Answer:

y=3x

Step-by-step explanation:

hello :

an equation is : y=ax  (  the line that passes through (0, 0) )

and (2, 6): x= 2   y=6     qo : 6 = a ×2        a =3

an equation of the line that passes through (0, 0) and (2, 6) is : y=3x

The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,

y = mx + b, where m is the slope and b the y-intercept.

The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.

The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).

We have been given two points on the required line, (0, 0) and (2, 6)

We take the points as (x₁, y₁), and (x₂, y₂) respectively.

∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.

Since it's an equation of a line, we use the two-point method to determine the equation.

The two-point formula is:

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

Substituting the values we have, we get:

y - 0 = ((6-0)/(2-0))*(x-0)

or, y = 3x.

∴ The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

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Answer: 1 tire would cost 68$

Step-by-step explanation:

can I have brainliest pls <3

Answer:

here we've been given the cost of 4 tires. and we've to find the cost of one tire.

in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )

so , here we go -

_____________________________

[tex]\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars[/tex]

_____________________________

hope helpful :D

Divide total made by total hours:

20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

ATQ

[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]

[tex]\\ \rm\rightarrowtail 8x=720[/tex]

[tex]\\ \rm\rightarrowtail x=90[/tex]

Second part:-

5x=5(90)=450

Answer:

try the option provided in the attachment.

Table B and C are represent the function.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find which relations below represent functions.

Now,

We know that;

A relation between a set of inputs having one output each is called a function.

Hence, By table 1;

Each output has same input.

Thus, Its not represent function.

By table 2;

A set of inputs having one output each.

Hence, Its represent function.

By table 3;

A set of inputs having one output each.

Hence, Its represent function.

Thus, Table B and C are represent the function.

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Answer:

$11.75

Step-by-step explanation:

We need to first subtract to find our answer :)

43.87 - (8 + 9.49 + 2.88)

43.87 - 20.37

23.50

Now we divide :)

23.50/2 = 11.75

Have an amazing day!!

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Answer:

1052.39 cm2

Step-by-step explanation:

too lazy to type all that

1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)

2) find the area of the cirlcle then divide by 2 youll get the area of the half circle

3) find the area of the other thing (i forgot its name) using

1/2×24×(16+34) = 600

then add them up

Answer:

( 6(x)² + 12(x) - 90 ) ft³

Explanation:

addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100

total volume of water:

Answer:

a)  [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]

b)  [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]

Step-by-step explanation:

Given:

a)  Total volume of water = deep end volume + shallow end volume

[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]

b) Simplify:

[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]

Collect like terms:

[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]

Combine like terms:

[tex]\sf \implies 6x^2+12x-90[/tex]