In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

It is modeled by:

[tex]y = ab^x + c[/tex].

In which:

In this problem, the equation is:

[tex]y = 4^x + 3[/tex].

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]

Which means that the first option is correct.

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Answer:

B. (0, 4) ; y = 3

Step-by-step explanation:

I took the exam for algebra 2

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf\green{y = 6}[/tex]

[tex] \mathsf \purple{{y}^{2} - 9y + 2}[/tex]

[tex] \mathsf \pink{ {6}^{2} - 9(6) + 2}[/tex]

[tex] \mathsf \purple{36 - 54 + 2}[/tex]

[tex] \mathsf \pink{ - 16}[/tex]

[tex] \mathbb\green{Hope\:It\:Helps} [/tex]

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

Answer:

x= -1 and x= -5

Explanation

y=(x+1)(x+5)

set both equations equal to 0

x+1=0 and x+5=0

subtract each constant from the appropriate  side

x= -1             x=-5

Answer:

51 seats

Step-by-step explanation:

96 = 2 buses minus six seats

96 = 2x -6

102 = 2x

102/2 = x

51 seats

Answer:

3

Step-by-step explanation:

from the center to the edge of circle, just counts 3

The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The total number of books will be

Total books = 5 + 7 + 8

Total books = 20

The total number of the event will be

[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]

The favorable event will be

[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]

The probability of choosing three mysteries books will be

[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]

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Answer:

D

Step-by-step explanation:

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?

not choosing a mystery

choosing at least one mystery

choosing three mysteries

not choosing all mysteries

D is the right answer

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Solving :

Answer:

x-2,y= 3, it can also be written as (2 ,3)

Step-by-step explanation:

2x-7y=5x-7-2x-7=5x-75x+2x=

7+77x=14x=2y=5x-7=5*2-7=10-..

Answer:

A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)

Step-by-step explanation:

Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

Answer:

See below.

Step-by-step explanation:

4x^2-24x

Find the GCF.

4 - 1, 2, 4

24 - 1, 2, 3, 4, 6, 8, 12, 24

The GCF of x^2 and x is x.

The complete GCF is 4x.

4x(x-6)

-hope it helps

Answer: 41

Step-by-step explanation:

Answer:

17/15

Step-by-step explanation:

2 5/6 x 2/5

convert 2 5/6 into improper fraction

17/6 x 2/5

cancel out the greatest common factor which would be the 6 and the 2

17/3 x 1/5

multiply straight across

17/15

could also be written as 1 2/15 or 1.13

Answer:

C because the answer is right

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

Answer:

10

Step-by-step explanation:

If you cut each sandwich in half and count how many halves there are, you are essentially multiplying it by 2. 5 times 2 is 10. Therefore, your answer is 10. Hope this helps:)

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

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[tex]==================================[/tex]

the rule for the first sequence is "add 1"

so we add 1 in order to get to the next term.

the rule for the next sequence is "add 5"

here, we add 5 in order to get to the next term.

the rule for the next sequence is "subtract 2"

in this sequence, we subtract 2 every time.

the rule for the next sequence is "add 7"

so we add 7 (13+7 does equal 20):)

the rule for the fifth sequence is "multiply by 2"

so this is a geometric sequence, because we use multiplication in order to get to the next term.

the rule for the sixth sequence is "subtract 6"

- we subtract 6 each time :)

the rule for the 7th sequence is "add 2"

the rule for the 8th sequence is "subtract 3"

the rule for the 9th sequence is "multiply by 7"

[tex]\rule{200}{2}~\rule{100}{2}[/tex]

Let's write down the next 2 terms for each sequence.

(the terms are highlighted in bold)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

4, 9, 14, 19, 24, 29, 34, 39

32, 30, 28, 26, 24, 22, 20, 18

6, 13, 20, 27, 34, 41, 48, 55

3, 6, 12, 24, 48, 96, 192, 384

36, 30, 24, 18, 12, 6, 0, -6

-13, -11, -9, -7, -5, -3, -1

48, 45, 42, 39, 36, 33, 30

1, 7, 49, 343, 2401, 16807, 117649

[tex]\rule{200}{2}[/tex]

The division is one of the four fundamental arithmetic operations. The amount that is needed to be paid by each friend is $74.75.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

As it is given that the total cost of the computer is $299, it is needed to be split between four friends. Therefore, the price will be paid by the four friends equally which can be written as,

[tex]\text{Amount paid by each friend}=\dfrac{\text{Total cost of computer}}{\text{Number of friends}}\\\\\\\text{Amount paid by each friend}=\dfrac{\$299}{4} = \$74.75[/tex]

Thus, the amount that is needed to be paid by each friend is $74.75.

Learn more about Division:

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Answer:

10 trips

Step-by-step explanation:

50kg in a bag, 4535.92 kg in 5 tons

4535.92kg/50kg = 90.7184

90/10 = 9 trips

but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.

Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

Answer:

No

Step-by-step explanation:

numbers with decimals that terminate or repeat are not irrational. they are rational.

The percentage of the runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The times of all 15 years old who run a certain race are approximately normally distributed with a given mean μ = 18 sec and standard deviation σ = 1.2 sec.

The percentage of the runners has times less than 14.4 sec.

Then the z-score will be given as

[tex]\rm z = \dfrac{X - \mu}{\sigma }\\\\\\z = \dfrac{14.4 - 18}{1.2}\\\\\\z = -3[/tex]

Then the percentage will be

[tex]\rm P(z < -3)=0.00135 = 0.135 \% \approx 0.15 \%[/tex]

More about the normal distribution link is given below.

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Answer:

A.  0.15%

Step-by-step explanation:

edge 2022

A

y=4x

8/2=4. .and the rest too have the same value