The area of the rectangle and square are equal find x.

Answer:

The correct answer is - 97.74%.

Step-by-step explanation:

Given:

sample mean = 281

Std Dev = 47 ==> Sample

Std Dev (s) = std dev/sqrt(n) = 6.0677

Solution:

Find : P( x > 268 )

z = ( x - u )/s = ( 268 - 281 )/6.0677

= -1.9558

then, P( x > 270) = P( Z > -1.9558)

= P( Z <1.9558)

= 0.9747

change into percentage:

= 97.471%

Answer:

a + b = ⟨-4, -9, 0⟩

a - b = ⟨6, 1, 4⟩

2a = ⟨2, -8, 4⟩

3a + 4b = ⟨-17, -32, -2⟩

|a| = √21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Vectors

Step-by-step explanation:

Adding and subtracting vectors are follow the similar pattern of normal order of operations:

a + b = ⟨1 - 5, -4 - 5, 2 - 2⟩ = ⟨-4, -9, 0⟩

a - b = ⟨1 + 5, -4 + 5, 2 + 2⟩ = ⟨6, 1, 4⟩

Scalar multiplication multiplies each component:

2a = ⟨2(1), 2(-4), 2(2)⟩ = ⟨2, -8, 4⟩

Remember to multiply in the scalar before doing basic operations:

3a + 4b = ⟨3(1), 3(-4), 3(2)⟩ + ⟨4(-5), 4(-5), 4(-2)⟩ = ⟨3, -12, 6⟩ + ⟨-20, -20, -8⟩ = ⟨-17, -32, -2⟩

Absolute values surrounding a vector signifies magnitude of a vector. Follow the formula:

|a| = √[1² + (-4)² + 2²] = √21

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

2.)

Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.

Answer:

10

Step-by-step explanation:

10

The fraction of the remaining cars in the lot that are preowned is 7/15

In order to determine the fraction of the remaining cars in the lot that are preowned, we have to first determine the total number of new cars and preowned cars before the sale occurred.

Total number of preowned cars before the sales = (ratio of preowned cars / total ratio) x total number of cars

ratio of preowned cars = 5

total ratio = 6 + 5 = 11

total number of cars = 66

(5/11) x 66 = 30 cars

Total number of new cars before the sale = (ratio of new cars / total ratio) x total number of cars

ratio of new cars = 6

total ratio = 6 + 5 = 11

total number of cars = 66

(6/11) x 66 = 36 cars

Total number of new cars after the sale = total number of new cars before the sale - number of new cars sold

36 - 4 = 32

Total number of preowned cars after the sale = total number of preowned cars before the sale - number of preowned cars sold

30 - 2 = 28

The fraction of the remaining cars on the lot that are preowned = number of preowned cars after the sale / total number of cars on the lot after the sale

total number of cars on the lot after the sale = 28 + 32 = 60

28/60

to convert to the simplest term, divide the numerator and the denominator by 4

7/15

To learn more about fractions, please check : https://brainly.com/question/15898494?referrer=searchResults

Let the numbers are x and y

According to the question

⇒x+y=1000.....eq1⇒x 2 −y 2

=256000∵x 2 −y 2

=(x+y)(x−y)

⇒1000∗(x−y)=256000

⇒x−y=256.....eq2

Adding eq1 and eq2

⇒2x=1256⇒x=628

Put the value of x in eq1

⇒628+y=1000⇒y=372

The numbers are 628 and 372

Hi I'm From PHILIPPINES

I'm here to help USA users like you

Answer:

this mean amount of coffee to be dispensed would be 11.99, approximately 12

Step-by-step explanation:

first of all we have this information available to answer this question.

standard deviation σ = 0.006 ounces

prob(x > 12) = 0.04

we use this formular to find the mean

z = x - μ/σ

 the value of the z score at 4% is equal to 1.7507

such that

[tex]1.7507 = \frac{12-u}{0.006}[/tex]

we cross multiply from this stage

1.7507*0.006 = 12-μ

0.0105042 = 12-μ

μ = 12 - 0.0105042

herefore, the mean amount μ = 11.99 this can be approximated to 12

[tex] \frac{{3}^{2} \times {5}^{5} \times {3}^{3} \times {5}^{3} }{ {3}^{4} \times {3}^{4} } \\ = \frac{ {3}^{5} \times {5}^{8} }{ {3}^{8} } \\ = \frac{ {5}^{8} }{ {3}^{3} } \\ = \frac{390625}{27} \\ = 14467.592592......[/tex]

This is the solution.

Answer:93/2 or 46.5 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

π×64×4=804.25

Step-by-step explanation:

Formula of cylinder is π×square of radius×height

Answer:

803.8

Step-by-step explanation:

it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8

Answer:

A.

Step-by-step explanation:

π/4 radians = 45°

In a 45-45-90 degree angle, the ratio of the lengths of the sides is

1 : 1 : √2

x = y = 1/√2

x = y = √2/2

Answer: A.

Answer:

A

Step-by-step explanation:

π/4 rad is 45°

cos 45° and sin 45° are both equal to (√2 / 2)

If you're curious, cos delta = x-coordinate while sin delta = y-coordinate

Answer:

D

Step-by-step explanation:

Assuming that the expression is referring to sin²(2πft) and not sin²(2)πft, we can solve as follows:

One trigonometric identity states that sin²x+cos²x = 1. We want to express this in terms of cos²x, so we need to solve for sin²x. Subtracting cos²x from both sides, we get 1-cos²x = sin²x. Plugging (2πft) for x, we get

1-cos²(2πft) = sin²(2πft)

We can plug that into our equation to get

P = I₀²R(1-cos²(2πft)), or D

Answer:

To find critical points, take the first derivative and set it equal to zero:

f(x) = -2x^2 + 4x + 5

f'(x) = -4x + 4

-4x+4 = 0

-4x = -4

x = 1

Critical point at x = 1

Alternatively, if you mean zeros, or where the x intersects, you can use the quadratic equation.

Answer:

6

Step-by-step explanation:

Answer:

a) 0.0081 = 0.81% probability that he receives no job offer

b) He expects to get 2.8 job offers.

c) 0.0837 = 8.37% probability that more than half of the firms he applied do not make him any offer.

d) Each job must be independent of other jobs. Additionaly, if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the normal approximation to the binomial distribution can be used.

e) 0.2401 = 24.01% probability of him securing more than 3 offers.

Step-by-step explanation:

For each application, there are only two possible outcomes. Either he gets an offer, or he does not. The probability of getting an offer for a job is independent of any other job, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

He can expect to receive a job offer from 70% of the firms to which he applies.

This means that [tex]p = 0.7[/tex]

The student decides to apply to only four firms.

This means that [tex]n = 4[/tex]

(a) What is the probability that he receives no job offer?

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.7)^{0}.(0.3)^{4} = 0.0081[/tex]

0.0081 = 0.81% probability that he receives no job offer.

(b) How many job offers he expects to get?

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

In this question:

[tex]E(X) = 4(0.7) = 2.8[/tex]

He expects to get 2.8 job offers.

(c) What is the probability that more than half of the firms he applied do not make him any offer?

Less than 2 offers, which is:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.7)^{0}.(0.3)^{4} = 0.0081[/tex]

[tex]P(X = 1) = C_{4,1}.(0.7)^{1}.(0.3)^{3} = 0.0756[/tex]

Then

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0081 + 0.0756 = 0.0837[/tex]

0.0837 = 8.37% probability that more than half of the firms he applied do not make him any offer.

(d) What assumptions do you need to make to find the probabilities? To increase the chance of securing more job offers, the student decides to apply to as many companies as possible, he sent out 60 applications to all different accounting firms.

Each job must be independent of other jobs. Additionaly, if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the normal approximation to the binomial distribution can be used.

(e) What is the probability of him securing more than 3 offers?

Between 4 and n, since n is 4, 4 offers, so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401[/tex]

0.2401 = 24.01% probability of him securing more than 3 offers.

Answer:

2100

Step-by-step explanation:

In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?

First, you need to choose 4 people to fill the first group.

The number of ways is (104) which equals to 210.

Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.

However, we need to divide it by 2, since we don’t really care on the order of selection of group.

(63)(33)/2=10

So, there are 210 x 10 = 2100 ways

Answer:

hmmm I read JeremyBrooks answer... I think that it might be different...

i think it is 2520

of the 10 you first choose 2

10 choose 2 = 45 ways

in each of the 45 "chooses" you now

pick a group of 3 of the 8 left

8 choose 3 = that is 56

of the five people left you choose 5

5 choose 5 = 1

so the possibilities are 45*56 * 1 = 2520

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The topic here is COMBINATORICS.

The parent topic is PERMUTATIONS & COMBINATORICS.

Permutation deals with arrangement in a definite order while, as stated in the question here, definite order in not needed in Combinatorics.

Now, the multiplication rule of counting, also known as the rule of product, talks about the multiplication of the figures that represent the different ways of doing something.

For example, in this question, the robot needs to attach 4 wires to a circuit board. If you know how Physics or Electricity works, you'll that truly this is a combination matter and not permutation.

Putting/Connecting the 4 wires together (in a square shaped circuit for instance), the arrangement RGBY is different from RGYB or RBGY.

So there will be more ways to connect or combine these wires, than if we were to follow a definite rule like: "Red and Green must always stay together".

So using the multiplication rule of counting to determine 4 choices for the Red wire, 3 choices for the Green wire, 2 choices for the Blue wire, and 1 choice for the yellow wire, we have:

R4 x G3 x B2 x Y1  =  4 x 3 x 2 x 1  =  4!  =  24

The term "4!" means "Four Factorial".

Answer:

A. $15

B. $25

C. 84 peaches

Answer:

a)3dozenx$5=$15

b)60=5 dozen 5x$5=$25

c)35/5=7,7 dozen, 7 x 12= 84

Step-by-step explanation:

Answer:

y = 2x - 7

Step-by-step explanation:

Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.

Answer:

9.6

Step-by-step explanation:

20 divided by 25 = 0.8

Then, 0.8 times 12 = 9.6

I bet that helped! :D

Answer:

-78

Step-by-step explanation:

Zinc group :

Mean, x1 = 3328

σ1 = 640

Sample size, n1 = 28

Placebo group :

Mean, x2 = 3406

σ2 = 851

Sample size, n2 = 31

The point estimate for the true difference between the population means is obtained as :

Mean difference between population :

x1 - x2 = 3328 - 3406 = - 78

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }[/tex]

[tex]\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }[/tex]

[tex]\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}[/tex]

[tex]\large\textsf{0.25\% of 2,000}[/tex]

[tex]\large\textsf{= 0.25\%} \times \large\textsf{2,000}[/tex]

[tex]\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}[/tex]

[tex]\mathsf{= \dfrac{25}{100} \times 2,000}[/tex]

[tex]\mathsf{\dfrac{25}{100}= \bf 0.0025}[/tex]

[tex]\large\textsf{= 0.0025} \times \large\textsf{2,000}[/tex]

[tex]\large\text{= \bf 5}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

35

Step-by-step explanation:

The pattern is adding powers of 2.

4+1=5 (exception)

5+2=7

7+4=11

11+8=19

19+16=35

Answer:

35

Step-by-step explanation:

4 + 1 = 5

5 + (1 × 2) = 5 +2 =7

7 + (2×2) = 7 + 4 = 11

11 +(4×2) = 11 + 8 = 19

19 + (8×2) = 19 + 16 = 35

Answer:

Step-by-step explanation:

Honda : 16,000

each year depreciates 8% from 100% so will be left with 100-8 =92% or 0.92

in 5 years : 16,000* 0.92^5 ≈ $10,545.30

in 10 years : 16,000* 0.92^10 ≈ $6,950.22

Kia : $12,000

each year depreciates 12 % from 100% so will be left with 100-12 =88% or 0.88

in 5 years : 12,000* 0.88^5 ≈ $6,332.78

in 10 years : 12,000* 0.88^10 ≈ $3,342.01

Jess should buy the Honda if wants to use it for 5 years or less because although is more expensive than Kia, it depreciates less in 5 years.

In 5 years the difference in depreciation is 10,545.30 -6,332.78= $ 4,212.52 this is greater that the difference in the actual price 16,000-12,000 =$ 4,000

Jess should buy the Kia if wants to use the car for 10 years or more because Kia will depreciates less than Honda in 10 years.

In 10 years the difference in depreciation is 6,950.22 -3,342.01 =$ 3, 608.21 this is lower that the difference in the actual price 16,000-12,000 =$ 4,000

Answer:

The graph is given below.

Step-by-step explanation:

X intercept = - 2

slope, m = 3

The point t which the line intersects the X axis is (-2 , 0) .  

The equation of line passing through a point and the slope is given

y - y' = m (x - x')

y - 0 = 3 (x + 2)

y = 3 x + 6

So, the graph is given below.

Compare by y = m x + c .

here y intercept is 6 .  

Answer:

There would be [tex]120[/tex] of them.

Step-by-step explanation:

There are [tex]6[/tex] distinct letters in the word "[tex]\verb!theory![/tex]".

Hence, there would [tex]6[/tex] possible choices for the first letter that was selected.

Since the chosen card won't be placed back in the pool, there would be only [tex](6 - 1) = 5[/tex] possible choices for the second letter.

Likewise, there would be [tex](6 - 2) = 4[/tex] choices for the third letter.

[tex]6 \times 5 \times 4 = 120[/tex]. In other words, there are [tex]120[/tex] possible ways to draw three cards out of [tex]6[/tex] one after another.

Since the question states that the order of the cards matters, it won't be necessary to eliminate repetitions such as "[tex]\verb!the![/tex]" and "[tex]\verb!het![/tex]" from the number of combinations.

Answer:

D

Step-by-step explanation:

(x^2+3)(x-5)

That's the answer

Answer:

When variables are the same, multiplying them together compresses them into a single factor (variable). ... When multiplying variables, you multiply the coefficients and variables as usual. If the bases are the same, you can multiply the bases by merely adding their exponents.

Step-by-step explanation: