Please help me!! can't figure it out for some reason
A census was conducted at a school. All of the students were asked how many cars their family owns. The results are below.

3. What is the probability that a randomly chosen student has at least 3 cars? Answer


4. What is the expected number of cars? Answer


5. What is the standard deviation? Answer

The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9

The equation of the function is given as

f(x) = 3x²

Also, we have

Vertex = (5, 9)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (5, 9)

Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 5)² + 9

This also means that

f(x) = -3(x - 5)² + 9

The -3 is gotten from f(x) = -3x²

Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9

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The expression to a + bi form is [tex]=10-\sqrt{2i}[/tex]

Simply put, what is linear algebra?

The subject of linear algebra is linear combinations. To build new columns and arrays of numbers, arithmetic is used to arrays of numbers called matrices and columns of numbers called vectors. The study of the planes and lines, vector spaces, and mappings needed for linear changes is referred to as algebra.

What is nonlinear equations?
A nonlinear equation is one whose graph is not a straight line and whose greatest power of the variables is not 1.

Step-by-step explanation:

Given:

[tex]-\sqrt{4} + \sqrt{-72}+\sqrt{64}+\sqrt{-98}=2+8-7\sqrt{2i}+6\sqrt{2i}[/tex]
[tex]=10-\sqrt{2i}[/tex]

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Answer:

y= -4/69

unless you want it in decimal form let me know

The area under the standard normal curve that lies to:

(a) to the left of z= -2.07

= 0.019226

(b) between z= -0.56 and z =1.2

= 0.17267

(c) between z = 0.08 and z =2.84

= 0.46586

(d) to the right of z =0.96

= 0.83147

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean is 0 and standard deviation is equal to 1.

Any normal distribution's values can be transformed into z scores to standardize it.

Z scores indicate the number of standard deviations each result is from the mean.

The area under the standard normal curve is gotten using the z table for the scores and the values are as follows

(a) to the left of z= -2.07

= 0.019226

(b) between z = -0.56 and z = 1.2

= z = -0.56 - z = 1.2

= 0.28774 - 0.11507

= 0.17267

(c) between z= 0.08 and z=2.84

= z = 0.08 - z = 2.84

= 0.46812 - 0.00226

= 0.46586

(d) to the right of z = 0.96

= 1 - z = 0.96

= 1 -  0.16853

= 0.83147

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As per the concept of simple interest,

OA. The 30-year 8.5% loan is more economical. The buyer will save approximately $182,436.76 in interest.

OB. The 15-year 8% loan is more economical. The buyer will save approximately $74,311.19 in interest.

Simple interest:

Basically, rate of interest calculated only on the principal amount, or on that portion of the principal amount that remains as known as simple interest.

Given,

In terms of paying less in interest, which is more economical for a $90,000 mortgage: a 30-year fixed-rate at 8.5% or a 15-year fixed-rate at 8%?

Here we need o find how much is saved in interest in these two years.

Here we have the formula,

[tex]PMT=\frac{P\frac{r}{n}}{1-[1 + \frac{r}{n}]^{-nt}}[/tex]

As per the given question we have identified that the value of

P = 90,000

R = 8.5%

n = 15

So, in decimal form, it can be written as,

r = 0.085

t = 30 years.

Now, we have to take the value of t as 30, then we get the value of PMT as,

[tex]PMT=\frac{90000\frac{0.085}{15}}{1-[1 + \frac{0.085}{15}]^{-15\times30}}[/tex]

When we simplify this one then we get,

The interest on a 30 year loan at 8.5% per year would be,

=> $182,436.76

And when we equate this one for 15 years, then we get the interest on a 15 year loan at 8.0% per year would be

=> $74,311.19

Therefore, the total interest you pay for the 30 year mortgage is substantially more than the total interest you pay for the 15 year mortgage.

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From the calculation below, we have:

A) Current ratio = 1.31

(B) Acid test (quick) = 1.09

(C) Average day's collection = 37.39 days

(D) Asset turnover = 1.28 times

(E) Profit margin on sales = 14.63%

The requirements can be solved as follows:

A) Current ratio = Current Assets / Current Liabilities = $21,000 / $16,000 = 1.31

(B) Acid test (quick) = (Current Assets - Inventory) / Current Liabilities = ($21,000 - $3,500) / $16,000 = 1.09

(C) Average day's collection = (Accounts Receivable / Net Sales) * 365 = ($4,200 / $41,000) * 365 = 37.39 days

(D) Asset turnover = Net Sales / Total Assets = $41,000 / $32,000 = 1.28 times

(E) Profit margin on sales = Net Income / Net Sales = ($6,000 / $41,000) * 100 = 14.63%

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The solution to the questions are:

From the question, we have the following parameters that can be used in our computation:

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

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Answer:

90. 718 kg

Step-by-step explanation:

0.454x 200= 90.718

if u round it it's 90.8kg

Answer: 90.8

Step-by-step explanation:

200x0.454=90.8

Since 1 pound is 0.454 kg, you multiply the 200 with the 0.454 because there are 200 pounds!

When P(a) = 1/5, p(b) = 1/8 l, the value of p(a and b) is 1/40. This is the probability.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

Since P(a) = 1/5, p(b) = 1/8, the probability of P(a and b) will be

= P(a) × P(b)

= 1/5 × 1/8

= 1/40

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================================================

Work Shown:

[tex]a_n = a_{n-1} - 12\\\\a_1 = a_{1-1} - 12\\\\a_1 = a_{0} - 12\\\\a_1 = 84 - 12\\\\a_1 = 72\\\\[/tex]

After 1 minute, there are 72 gallons of water left.

[tex]a_n = a_{n-1} - 12\\\\a_2 = a_{2-1} - 12\\\\a_2 = a_{1} - 12\\\\a_2 = 72 - 12\\\\a_2 = 60\\\\[/tex]

After 2 minutes, there are 60 gallons left.

[tex]a_n = a_{n-1} - 12\\\\a_3 = a_{3-1} - 12\\\\a_3 = a_{2} - 12\\\\a_3 = 60 - 12\\\\a_3 = 48\\\\[/tex]

After 3 minutes, there are 48 gallons left.

[tex]a_n = a_{n-1} - 12\\\\a_4 = a_{4-1} - 12\\\\a_4 = a_{3} - 12\\\\a_4 = 48 - 12\\\\a_4 = 36\\\\[/tex]

After 4 minutes, there are 36 gallons left.

[tex]a_n = a_{n-1} - 12\\\\a_5 = a_{5-1} - 12\\\\a_5 = a_{4} - 12\\\\a_5 = 36 - 12\\\\a_5 = \boldsymbol{24}\\\\[/tex]

After 5 minutes, there are 24 gallons left.

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

Table of values

[tex]\begin{array}{|c|c|} \cline{1-2}n & a_n\\\cline{1-2}0 & 84\\\cline{1-2}1 & 72\\\cline{1-2}2 & 60\\\cline{1-2}3 & 48\\\cline{1-2}4 & 36\\\cline{1-2}5 & \boldsymbol{24}\\\cline{1-2}\end{array}[/tex]

Answer: 75 cups of giardia-laced lemonade

Step-by-step explanation:

       On the first day he sells 33 lemonades, so we will start with "33 +" for our equation. Then, he sells 6 additional lemonades each day further as the summer heats up. If x is equal to days, the next part will be "6(x-1)" for our equation.

       Lastly, we will plug in an 8 for x, number of days, and solve,

33 + 6(x - 1)

33 + 6(8 - 1)

75

             75 cups of giardia-laced lemonade

As per the concept of Poisson distribution ,

(a) The standard deviation of death in an army corps each year is 0.781

(b) The probability of exactly 3 deaths in an army corps in a given year is 0.069

(c) The probability of at most 2 deaths in an army corps over an 8-year period is 0.3425

Poisson distribution:

Basically, the process of estimating the occurrence of a specified event that happens during a particular period of time is known as Poisson distribution.

Given,

From a research paper, it is known that the number of soldiers who died annually by being kicked by a horse followed a Poisson distribution with an average of 0.61 death in an army corps each year.

Here we need to find the following:

(a) The standard deviation of death in an army corps each year

(b) The probability of exactly 3 deaths in an army corps in a given year

(c) The probability of at most 2 deaths in an army corps over an 8-year period

As per the given question, we have identified the following value,

The Poisson distribution average λ = 0.61

So, the standard deviation of the death

=> σ = √0.61

Therefore, the standard deviation is  0.781.

The probability of exactly 3 deaths in an army corps in a given year is  calculated as,

=> P(X = 3) = e⁻⁰°⁶¹ x (0.61³/3!)

=> P(X = 3) = e⁻⁰°⁶¹ x (0.2269/6)

=> P(X = 3) = e⁻⁰°⁶¹ x 0.0378

=> P(X = 3) = 1.8404 x 0.0378

=> P(X = 3) = 0.069

Therefore, the probability of exactly 3 deaths in an army corps in a given year is 0.069

Now, the probability of at most 2 deaths in an army corps over an 8-year period is calculated as,

=> P(X = 2) = e⁻⁰°⁶¹ x (0.61²/2!)

=> P(X = 2) = e⁻⁰°⁶¹ x (0.3721/2)

=> P(X = 2) = e⁻⁰°⁶¹ x 0.1861

=> P(X = 2) = 1.8404 x 0.1861

=> P(X = 2) = 0.3425

Therefore, the  probability of at most 2 deaths in an army corps over an 8-year period is 0.3425

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Estimate the sum of the lengths of ribbon. 7 One-eighth yards + 8.2 yards or: 7 1/8 yards + 8.2 yards

Which statements are true about the estimate? Check all that apply.

7 One-eighth can be rounded to 7.

8.2 can be rounded to 8.

The estimated sum is 2 yards.

The estimated sum is 15 yards.

To find the sum, subtract 8 – 7.

The equation of the line in slope intercept form is y = -x + 2

The equation of a line in slope intercept form can represented as follows.

y = mx + b

where

Therefore, let's find the slope of the line using (0, 2) and (-1, 3).

m = slope = 3 - 2 / -1 - 0

slope = 1/ - 1

slope = - 1

Therefore, let's find the y-intercept using (0, 2).

Hence,

y = -x + b

2 = -(0) + b

b = 2

Hence, the equation of the line is y = -x + 2

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As per the given percentage of 20, the total number of bees is 200 and on the second day, he caught 40 unique bees so the total unique bees are 140

Percentage:

Percentage refers the amount of something is expressed as if it is a part of the total which is a hundred. and the ratio can be expressed as a fraction of 100.

Given,

Sara wants to estimate the number of bees in a beehive. She catches 100 bees from the hive and marks each one with a dye. She then lets the bees go. The next day, Sara catches 50 bees from the hive. 10 of these bees have been marked with dye.

Here we need to determine the number of bees in the beehive.

Let us consider she catches 100 bees from the hive and marks each one with a dye. And then lets the bees go.

Then the next day, she catches 50 bees from the hive. 10 of these bees have been marked with dye.

So, the percentage of the dye bees in the hive will be

P = 10/50 x 100

P = 20%

Now, let the total number of the bees be x, then the total number of the bees will be

=> 100 x 2 = 200

Therefore, the total number of bees is 200.

Now, the number of unique bees will be

Unique bees = 100 + (50 - 10)

Then, the number of unique bees = 100 + 40

Therefore, the number of unique bees is 140.

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Answer:

C

Step-by-step explanation:

not enough info by i think its C

for given triangles ΔABC and ΔADC,

∠ABC ≅ ∠ADC

In this question, we have been given a quadrilateral ABCD with segment AC is the angle bisector of angle BAD.

We need to prove ∠ABC ≅ ∠ADC

AB ≅ AD                                     ......................(Given)

∠BAC ≅ ∠DAC                           ......................(Given)

AC ≅ AC                      .....................(Common side)

ΔABC ≅ ΔADC           ..................(SAS postulate of triangle congruence)

∠ABC ≅ ∠ADC           .............(corresponding sides of congruent triangles)

Hence proved.

Therefore, for given triangles ∠ABC ≅ ∠ADC

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Answer:

Step-by-step explanation:

The solutes percentage to the solvent. =. 2\4 x 100

. = 50%

Answer:

Step-by-step explanation:

V₁ = 2 ml

V₂ = 4 ml

V = V₁ + V₂ = 2 + 4 = 6 ml

V₁ / V = 2 / 6 = 1 /3    or ≈ 33%

The binomial distribution in 3 decimal place value is 0.294

Binomial distribution:

Binomial probability distribution determines the probability of a discrete random variable that results from an experiment in which there are two possible independent outcomes and which is repeated n times.

The calculation formula is:

[tex]P(X) = \binom{n}{X} \cdot p^X \cdot (1-p)^{n-X}[/tex]

where

n  is the number of trials,

p  is the probability of success on a single trial, and

X  is the number of successes.

Given,

Here we have the following values,

n = 8

p = 0.2

Here we need to find the value of p(X = 2)

Here we know the values of

number of trials = 8

probability of success = 0.2

And the number of success = 2

Then the binomial distribution is calculated by applying these values on the formulas, then we get,

[tex]P(2) = \frac{8!}{2!(8-2)!} \cdot 0.2^2 \cdot (1-0.2)^{8-2}[/tex]

When we evaluating the expression, we have

P(2) = 0.29360128

Therefore, the resulting value is P(2) = 0.29360128

When we round of t into 3 decimal places then we get the value 0.294.

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Answer:

57

Step-by-step explanation:

3(12 + 5) + 2(3) Use distributive property A(B + C) = AB + AC

36 + 15 + 2(3) = 57 Multiplication over addition

Answer:

57

Step-by-step explanation:

Do you remember PEMDAS?

first do the parentheses (12+5) = 17

then do the Multiplication 3x17= 51

and you have another multiplication 2x3= 6

so now you just need to add

51+6 = 57

The probabilities are given as follows:

a) P(driver is female) = 0.486 = 48.6%.

b) P(driver is age 65 or over) = 0.1356 = 13.56%.

c) P(driver is age 65 or over and female) = 0.0661 = 6.61%.

d) The events are not mutually exclusive, as the intersection of the two events is different of zero.

e) The expected number of male drivers would be of 5,140.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Hence, for a population, the probability of a single person having some characteristic is given by the percentage of people with this characteristic in the population.

The drivers that are 65 or over are composed as follows:

Hence the total percentage is:

6.61 + 6.95 = 13.56%.

For item d, the events “being 65 or over” and “female” are not mutually exclusive, as there are females that are 65 or over.

The expected value of an event over n people is the multiplication of n by the probability, hence:

10000 x 0.514 = 5,140.

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Answer:

81 and 100

Step-by-step explanation:

There is a pattern between each square number

For 1 and 4, the difference is 3

For 4 and 9, the difference is 5

For 9 and 16, the difference is 7

For 16 and 25, the difference is 9

For 25 and 36, the difference is 11

For 36 and 49, the difference is 13

For 49 and 64, the difference is 15

For 64 and 81, the difference is 17

For 81 and 100, the difference is 19

I would appreciate it if you mark my answer as brainliest.

Answer:

x = 18

Step-by-step explanation:

ABCD ∼ JKLM

AB = 12        JK = x

AD = 6        JM = 9

6/9 = 12/x

2/3 = 12/x

2/3 = 12/18

2/3 = 2/3

Step-by-step explanation:

[tex]4(12xy - 8x - 21xy ^{2} + 14xy + 15y - 10)[/tex]

[tex]4( - 21 {xy}^{2} + 26xy - 8x + 15y - 10)[/tex]

[tex] - 84 {xy}^{2} + 104xy - 32x + 60y - 40[/tex]

Step-by-step explanation:

What are these examples of? -Printer -Mouse -Moniter -Keyboard -Scanner

Answer: 8 in²

Step-by-step explanation:

A diameter of a sweet potato pie is 8 inches

Hence a radius of a sweet potato pie is 8/2=4  inches

A=πr²

π=3.14159≈3    

r=4 inches

Hence,

A=3(4²)

A=3(4*4)

A=3(16)

A=48 in²

The area of each slice is:

48:6=

8 in²

Answer:

volume

Step-by-step explanation:

The independent variable is the prism height.

The volume depends on and varies with the height, so the volume is the dependent variable.

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = [tex]H_0\\[/tex] * D

where

v = velocity = 8254

[tex]H_0\\[/tex] = hubble constant = 70

D = v/[tex]H_0\\[/tex]

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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Confidence interval to estimate the population mean is 81.592< μ <96.408.

Confidence = 95%

Z-value = Z = 1.960

No. of sample = n = 28

Mean = X = $89

Standard deviation = S = 20

Confidence interval = CI = [tex]X+Z*(\frac{S}{\sqrt{N}})[/tex] or [tex]X-Z*(\frac{S}{\sqrt{N}})[/tex]

                                        = [tex]89+1.96(\frac{20}{\sqrt{28}})[/tex] or [tex]89-1.96(\frac{20}{\sqrt{28}})[/tex]

                                        = 89 + 7.408  or 89 - 7.408

                                        = 96.408 or 81.592

Hence, interval is 81.592< μ <96.408.

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