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The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

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

Let A = the students get an A

Let B = the student's studied for the psychology test

We know that probability:

P(B) = 60% = 0.60  and

P(A/B) = 25% = 0.25

We know that:

[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]

Now the probability that someone that gets an A actually studied for the Psychology test:

P(A∩B) = P(B) ×0.25

P(A∩B)  = 0.60×0.25

P(A∩B)  = 0.15

Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

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500 divided by 8 is 6.25 ( 6 months and 25 days) so he answer round to the nearest digit is 6 so the answer is B (6 months)

The volumes of the pyramids are listed below:

Volume is the space occuppied by an object. In this question we must determine the volumes of pyramids of circular base and polygonal base (V). All the formulas needed are described below:

V = (π/3) · B · h     (1)

B = (π/4) · R²     (2)

B = (n · L²)/(4 · tan 0.5α)     (3)

B = (1/2) · b · z     (4)

B = b · z

Where:

Now we proceed to solve each pyramid:

1) Square, n = 4, α = 90°, L = 14 cm, h = 22 cm

B = 196 cm², V = 1437.333 cm³

2) Circle, R = 3 km, h = 8 km

B ≈ 28.274 km², V = 75,398 km³

3) Right triangle, b = 12 ft, z = 3.7 ft, h = 8 ft

B = 22.2 ft², V = 59.2 ft³

4) Rectangle, b = 23 yd, z = 9 yd, h = 5.7 yd

B = 207 yd², V = 393.3 yd³

5) Circle, R = 9.5 m, h = 12 m

B ≈ 283.529 m², V = 1134.116 m³

6) Regular pentagon, B = 110 mm², h = 11 mm

V = 403.333 mm³

7) Square,n = 4, α = 90°, L = 13 in, h = 7.2 in

B = 169 in², V = 405.6 in³

8) Regular triangle, n = 3, α = 120°, L = 16 ft, h = 24 ft

B ≈ 110.851 ft², V = 886.808 ft³

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Answer:

mAngle 1 = 40°

Step-by-step explanation:

You can use Corresponding Angles to directly state Angle1 is 40°. If you have to prove it you can show that the horizontal lines are parallel bc they are both perpendicular to the same line (the vertical line in the middle)

OR...

Use vertical angles and supplementary angles to find all the six pack of angles right in the middle of the diagram. 40°, 50°, 90°, 40°, 50° 90° And the use the idea that a triangle's three angles must add up to 180°.

90+50+Angle1=180

140 + Angle1 = 180

Angle1 = 40°

Answer:

137

Step-by-step explanation:

There were 16 packs of cola with 8 cans each, so that is 8 16 times, or 16 · 8.

16 · 8 = 128 cans

The amount of cans Maria brought is already given. All that's left is to add the amounts.

128 + 9 = 137

They brought 137 cans in all.

hope this helps!

Answer:

Yes GH ≅JK

Step-by-step explanation:

The line GH and JK are congruent because they measures are equal.

JK line is vertical so the x-coordinate is constant and the difference in y is 10-4 = 6 and

GH line is horizontal so the y-coordinate is constant and the difference in x is 8-2 = 6

Answer:

Gimme brainliest

Step-by-step explanation:

ip grabber goated

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hypotenuse:  The longest side in the triangle and it is opposite to 90°

Opposite Side: The side oppoiste to the angle.

Adjacent side: The side next to the angle.

First find 'c' using Pythagorean theorem,

c² = 9² + 12²

    = 81 + 144

    = 225

c =√225

c = 15

[tex]\sf \ Sin \ \theta = \dfrac{opposite \ side \ of \ \theta}{hypotenuse}= \dfrac{12}{15}[/tex]

[tex]\sf \ Cos \ \theta = \dfrac{adjacent \side \ of \ \theta}{hypotenuse}= \dfrac{9}{15}\\\\ Tan \ \theta= \dfrac{opposite \ side \ of \ \theta}{adjacent \ side \ of \ \ theta}= \dfrac{12}{9}[/tex]

[tex]\sf \ Csc \ \theta= \dfrac{hypotenuse}{opposite \ side \ of \ \ theta}= \dfrac{15}{12}\\\\\ Sec \ \theta = \dfrac{hypotenuse}{adjacent \ side \ of \ \theta}= \dfrac{15}{9}\\\\Cot \ \theta= \dfrac{adjacent \ side \ of \ \theta}{opposite \ side \ of \ \theta}= \dfrac{9}{12}[/tex]

[tex]\sf \ Sin \ \alpha = \dfrac{opposite \ side \ of \ \alpha \theta}{hypotenuse}= \dfrac{9}{15}[/tex]

[tex]\sf \ Cos \ \alpha = \dfrac{adjacent \side \ of \ \alpha }{hypotenuse}= \dfrac{12}{15}\\\\ Tan \ \alpha = \dfrac{opposite \ side \ of \ \alpha }{adjacent \ side \ of \ \ theta}= \dfrac{9}{12}[/tex]

[tex]\sf \ Csc \ \alpha = \dfrac{hypotenuse}{opposite \ side \ of \ \alpha }= \dfrac{15}{9}\\\\\ Sec \ \alpha \theta = \dfrac{hypotenuse}{adjacent \ side \ of \ \alpha }= \dfrac{15}{12}\\\\Cot \ \alpha = \dfrac{adjacent \ side \ of \ \alpha }{opposite \ side \ of \ \alpha }= \dfrac{12}{9}[/tex]

Answer: 25($0.05)+4($0.45)

Cost of bead +cost of charm needed for 1bracelet

Step-by-step explanation: If you need to break it down further,

$1.25+$1.8=$3.03.05

Since 120 = 12 • 10 and LCM(x, 12) = 120, these suggest x is some multiple of 10.

HCF(x, 12) = 4 tells us that x is a multiple of 4.

If x is a both a multiple of 4 and 10, then the smallest x that fits both conditions is 4 • 10 = 40. (-40 also satisfies the criteria.)

The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

The Lowest Common Multiple (LCM) of the numbers is the smallest common multiple of the given numbers.

The Highest Common Factor (HCF) of the numbers is the greatest factor of the given numbers.

In the case of two numbers, the product of LCM and HCF is equal to the product of the numbers.

We are given two numbers, x and 12.

Their LCM and HCF are 120 and 4 respectively.

We are asked to find the number x.

For two numbers, we know that the product of two numbers is equal to the product of their HCF and LCM.

∴ x*12 = 120*4

or, 12x = 480

or, x = 480/12

or, x = 40.

∴ The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

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Answer:

10n-13

Step-by-step explanation:

Answer:

30 miles/hr

Step-by-step explanation:

d / r  = time     distance divided by rate = time

70 / r   = time     and    77/(r+3 ) = time       r = her original average speed

 'time' is the same for both so we can equate the equations

70/r = 77/(r+3)     cross multiply

70r + 210 = 77r

7r = 210

r = 30 m/hr

Answer:

c

Step-by-step explanation:

if this is wrong im sorry...

Answer:

3.55,11.25,48.20,49.413,42.184

Step-by-step explanation:

$3,500 + 0.05% = $3.55

$1,250 + 0.010% = $11.25

$25,340 + $22,860 = $ 48.20

$25,340 + $ 24,073 = $ 49.413

$22,860 + $ 19,324 = $42.184

Answer:

See below

Step-by-step explanation:

the x + 4   will shift the graph 4 units LEFT

the - 8 part will shift the graph 8 units DOWN

The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.

Form the task content;

The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.

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The amount you would pay altogether if you borrow $500 for  5 years at

an annual interest rate of 7% is $945.

The amount you would pay altogether is the sum of the amount borrowed and the interest.

Total value of the debt = interest + amount borrowed

Interest = $700 x 7% x 5 = $245

Total value of the debt = $245 + $700 = $945

Answer:

A)  8, -6, 13

Step-by-step explanation:

See attached image.

[tex]area = length \times width[/tex]

____________________________________________

c .

[tex]area = \frac{3}{8} \times \frac{4}{5} \\ [/tex]

[tex]area = \frac{4 \times 3}{4 \times 2 \times 5} \\ [/tex]

[tex]area = \frac{3}{2 \times 5} \\ [/tex]

[tex]area = \frac{3}{10} \: \: {cm}^{2} \\ [/tex]

_____________________________________________

d.

[tex]area = \frac{1}{4} \times \frac{3}{7} \\ [/tex]

[tex]area = \frac{3}{28} \: \: {m}^{2} \\ [/tex]

If g(x) is the inverse of f(x), then by definition of inverse function,

f(g(x)) = g(f(x)) = x

Given that f(x) = 5x - 4, we have

f(g(x)) = 5 g(x) - 4 = x

Solve for g(x) :

5 g(x) - 4 = x

5 g(x) = x + 4

g(x) = (x + 4)/5

Answer:

(a) Not equal to

(b) Are not

Step-by-step explanation:

Answer:

x = 2.85 = 20/7

Step-by-step explanation:

x : 5 = 12 : 21

=》x/5 = 12/21

Cross multiply,
21 *x = 5*12

21x = 60

x = 60/21

x = 2.85 = 20/7

________

Hope it helps ⚜

Answer:

[tex]\huge\boxed{\sf x = 2.86}[/tex]

Step-by-step explanation:

Given proportionality:

x : 5 = 12 : 21

We know that:

Product of means = product of extremes

Means : 5,12

Extremes : x,21

5 × 12 = x × 21

60 = 21 x

Divide both sides by 21

60/21 = x

2.86 = x

x = 2.86

[tex]\rule[225]{225}{2}[/tex]

Answer:

y-intercept = -8

Step-by-step explanation:

Slope-intercept form of a linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

Given:

Substituting the given values into the slope-point form of a linear equation:

[tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=4(x-2)[/tex]

[tex]\implies \sf y=4x-8[/tex]

Comparing the final equation with the Slope-intercept form of a linear equation, we can see that the y-intercept is -8

Answer:

12.8kg

Step-by-step explanation:

1 book =0.8kg

16 books=16*0.8kg

which is equal to 12.8kg

The red arrow represents an outlier in the given dot plot. which the correct answer would be an option (A).

A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like graphic used in statistics for very small data sets with discrete values.

An outlier is a value in a random sampling from a population that is significantly different from the other values. In some ways, this definition leaves it up to the analyst (or a consensus process) to determine what is abnormal. Normal observations must first be characterized before anomalous observations may be identified.

The dot plot is given in the question,

According to the given dot plot,

Most data are clustered around [12, 14], while 24 is distant from this interval.

Thus, the red arrow represents an outlier in the given dot plot.

Hence, the correct answer would be option (A).

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7300

7×10³+3×10²+0×10¹+0×10⁰

please give me brainliest

Answer:

Likekly

Step-by-step explanation:

P(particular event) = [tex]\frac{2}{3}[/tex]

Out of 3, 2 is success. so, it is likely

Answer:

3^14

Step-by-step explanation:

Taking a look at the question, try to break it down into these general steps:

1. Identify the base number. Are they the same? In this case, the base number is 3 so they are the same.

2. Recall the rules when multiplying exponents. In this case, multiplying exponents across will end up being 9+5.

3. Rewrite the equation as 3^(9+5). This should give you 3^14