-. A large oil painting is 4 feet longer than its height. There is a wooden frame around the painting
that is 12 inches wide. The area of the picture and frame together is 165 ft². Find the dimensions
of the painting. (Hint: Draw a diagram)

Using the normal distribution, the 75th percentile for a 10 month-old girl is 74 centimeters.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 72, \sigma = 3[/tex]

The 75th percentile is X when Z = 0.675, hence:

0.675 = (X - 72)/3

X - 72 = 3 x 0.675

X = 74.

The 75th percentile for a 10 month-old girl is 74 centimeters.

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Answer:

i could only work out (A)

Step-by-step explanation:

Given: P(MOTHER) = 0.10 P(FATHER) = 0.10 P(MOTHER AND FATHER)= 0.02 P(FIRST CHILD) = 0.20 P(SECOND CHILD) = 0.20 P(FIRST CHILD AND SECOND CHILD) = 0.10 So, we get: P(MOTHER) X P(FATHER) = 0.10X 0.10 = 0.01 Since P(MOTHER) X P(FATHER) = 0.01 P(MO

The value of 'x' in the given equation - 8 = - (x + 4) is 4.

So, value of 'x' in - 8 = - (x + 4):

Therefore, the value of 'x' in the given equation - 8 = - (x + 4) is 4.

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The complete question is given below:

Find the value of x in the equation - 8 = - (x + 4).

The required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.

As given in the question, the figure on the left is reflected using a line to form the image on the right.

Here,
Since the reflection of a figure never changes its dimension so,
in the figure,
b + 143 + 108 + 63 = 360
b = 46
And also in reflection, the measure of the site will not change so the measure of a = 3.2

Thus,  the required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.

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al-World Application0231651561065

Answer:

If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.

What is permutations?

It is basically an arrangement of objects in a certain order.It is expressed as n and it is equal to n!/(n-r)!.

How to calculate ways?

We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19=19!/(19-9)!

=19!/10!

=19*18*17*16*15*14*13*12*11*10!/10!

=19*18*17*16*15*14*13*12*11

=335322128640 CD's

Hence 335322128640 CD's can be made from 19 songs by the user.

Answer:

18. in imge

19. is D

20. 10/3 (just divided by 5)

21. 8/7 bc negtive reciprocal

22. (0,8) y-int

Step-by-step explanation:

Using Chebyshev's Theorem, it is found that:

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

For the first item, we first have to find k when P = 56, hence:

[tex]56 = 100\left(1 - \frac{1}{k^{2}}\right)[/tex]

[tex]1 - \frac{1}{k^{2}} = 0.56[/tex]

[tex]\frac{1}{k^2} = 0.44[/tex]

k² = 1/0.44

k = sqrt(1/0.44)

k = 1.5.

Within 1.5 standard deviations, hence the bounds are:

Hence:

According to Chebyshev's theorem, at least 56% of the home buyer's ages lie between 30 years and 60 years.

25 and 65 years are both 2 standard deviations from the mean, hence:

At least 75% of the home buyers' age lie between 25 years and 65 years.

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The length of the missing side is √69

The triangle is a right triangle with the following parameters

Hypotenuse = 13

Leg = 10

Represent the missing side with x

By the Pythagoras theorem, we have

x = √Hypotenuse² - Leg²

This gives

x = √13² - 10²

Evaluate

x = √69

Hence, the length of the missing side is √69

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Answer:

Step-by-step explanation:

The Red circles have a probability of 1/2 of getting chosen, The red and blue circles together have an 100% chance of getting chosen because they are the total of circles. Np

Answer:

d = -8

Step-by-step explanation:

4(-3d+14) = -17d + 16

-12d + 56 = -17d + 16

+17d            +17d

5d + 56 = 16

      -56    -56

5d = -40

÷5      ÷5

d= -8

I hope this helps!

Answer:

bases....................

Answer:

  A.  The only solution is (-2, 1).

Step-by-step explanation:

Given a graph of two lines, you want the number of solutions to the system of equations the lines represent.

The graph of an equation represents all of the points that satisfy that equation. When a system of equations has more than one equation, the set of points that satisfies all of the equations is the set of points where the graphs intersect (overlap) each other.

Here, the two straight lines intersect at exactly one point: (-2, 1). That one point represents the only solution to the system of equations.

The only solution is (-2, 1).

Answer:

when dealing with money

Answer: x=30

Step-by-step explanation:

6x-5+z-25=180

7x+210

x=30

Answer:

Just multiply 6x8x5

Step-by-step explanation:

Answer:

Step-by-step explanation:

For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them

Q3 - Q1 = IQR(interquartile range)

45 - 20 = 25

40 - 10 = 30

10 - 6 = 4

20 - 8 = 12

Answer:

The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:

2.74 ->0.00274

Step-by-step explanation:

Final Answer 0.00274

The value of the product 9.05(-13.2) is -119.46

The product expression is given as

9.05(-13.2)

Rewrite the product expression as

9.05(-13.2) = 9.05 * (-13.2)

Using a calculator, we have

9.05(-13.2) = -119.46

Hence, the value of the product 9.05(-13.2) is -119.46

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Based on the revenue, total equity, and the ending liabilities, the total assets at the end of the year is $362,000.

First, find the ending equity:

= Opening equity + Revenue - expenses

= 185,000 + 250,000 - 185,000

= $250,000

The total assets by the accounting equation is:

Assets = Liabilities +  Equity

= 112,000 + 250,000

= $362,000

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Answer:

$1,945.91

Step-by-step explanation:

To find the amount a family would have spent to be at the 80th percentile, we can use the normal distribution.

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

[tex]\boxed{X \sim\text{N}(\mu,\sigma^2)}[/tex]

Given that the average spending on a summer vacation is $1,600 and the standard deviation is $411:

We need to convert the problem to the standard normal distribution by calculating the z-score.

The z-score represents the number of standard deviations a data point is away from the mean. To find the z-score corresponding to the 80th percentile, we need to find the critical value or z-score that corresponds to an area of 0.80 under the standard normal curve.

Using a standard normal distribution table or a calculator, the z-score corresponding to an area of 0.80 is 0.84162084...

Next, we use the formula for the z-score:

[tex]\boxed{z = \dfrac{x - \mu}{\sigma}}[/tex]

where z is the z-score, x is the data point, μ is the mean, and σ is the standard deviation.

Substitute z = 0.84162084..., μ = 1600, σ = 411 into the z-score formula:

[tex]0.84162084... = \dfrac{x - 1600}{411}[/tex]

Solving for x:

[tex]x=1945.90616...[/tex]

Therefore, a family would have spent approximately $1,945.91 to be at the 80th percentile of spending on a summer vacation.

Answer:

$1,945.03

Step-by-step explanation:

To find the amount a family would have spent to be at the 80th percentile, we need to find the z-score that corresponds to the 80th percentile and then use that z-score to calculate the corresponding amount.

First, we find the z-score using the standard normal distribution table or a calculator:

z = InvNorm(0.8) ≈ 0.8416

Next, we use the formula for transforming a z-score to a raw score:

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values and solving for x, we get:

0.8416 = (x - 1600) / 411

x - 1600 = 0.8416 * 411

x - 1600 = 345.0256

x = 1945.0256

Therefore, a family would have spent about $1,945.03 to be at the 80th percentile.

Answer:

I think it should be 1 pm

Step-by-step explanation:

The Smiths left at 11 am and traveled 180 miles. If they drive at 60 miles per hour, that means that they traveled for 2 hours because 180 divided by 60 is two. That means they traveled for 2 hours and arrived at 1 pm.

Probability of event E is = a/c

In the given statement is:

If the odds in favor of an event E are a : b,

To find  the probability of event E is

Formula for Probability

The Probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favourable outcomes / total number of outcomes

Now, According to the question:

Here, Number of outcomes in favor of the event = a

Number of outcomes in against the event = b

Total Outcomes => a + b = c

Therefore, Probability of event E is = a/c

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By using permutation, the college can fill the position in 7 ways.

Permutation shows the no. of ways to arrange the objects or elements.

The Formula for the permutation is P(n, r) = [tex]\frac{n!}{(n-r)!}[/tex]

Given data:

The college needs two additional faculty members a chemist and a statistician. There are five applications for the chemistry position and seven applications for the statistics position.

No. of ways the college can fill the position = no. of ways the college can select Statistics + no. of ways the college can select chemist

By using, the permutation method we can find the no. of ways of selection of both chemist and statistician.

No. of ways the college can fill the position =[tex]5p_{1} +7p_{1}[/tex]

= 5 + 7

= 12 ways

The college can fill the position in 12 ways.

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There are 6,435 different selections of 7 bonsais that William Smith can choose.

If we have a set of N elements, the number of different combinations of K elements (such that K is equal to or smaller than N) of those N elements is given by:

C(N, K) = N!/( (N - K)!*K!)

In this case, we know that she has 15 different variants of bonsai and she wants to use 7, then:

N = 15

K = 7

Replacing these values in the above formula we will get the possible combinations of bonsais.

C(15, 7) = 15!/( (15 - 7)!*7!) = 15!/( 8!*7!) = (15*14*13*12*11*10*9)/(7*6*5*4*3*2*1) =  6,435

There are 6,435 different selections of 7 bonsais.

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Answer:

1. Herbivores

2. Mammals

3. Prey

4. Predators

5. Molars

6. Omnivores

8. Claws

9. Carnivores

Step-by-step explanation:

Click photo to look ans

MARK MEEEE AS A BRAIN LIST

Answer:

1/13

Step-by-step explanation:

[tex]f(x_1)=4 \\ \\ f(x_2)=9 \\ \\ \frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{1}{13}[/tex]

Answer:  A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

The Investment Income, if any (g) $380 and The Net Income tax payable is $41,516.75

A. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $0  

The Income taxed at ordinary rates ( c) $425,000  

The Tax on c above (d)

$124,469.95 = $120,529.75 + [($425,000 - $415,050) x 39.6%]

The Tax on b above ( e) is $0  

Thus, the Total Income tax (f) is $124,469.95 (d + e)

The Investment Income, if any is $0 No Investment Income

The Net Income tax payable is $124,469.95  

B. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $2,000  

The Income taxed at ordinary rates ( c) $423,000  

The Tax on c above (d);

$123,677.95 = $120,529.75 + [($423,000 - $415,050) x 39.6%]

The Tax on b above ( e) ;

$400 = $2,000 x 20%, Since marginal rate is 39.6%

The Total Income tax (f) $124,077.95 (d + e)

The Investment Income, if any (g) $76

($2,000 x 3.8% = $76)

The Net Income tax payable is $124,153.95 (f + g)

C. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $55,000  

The Income taxed at ordinary rates ( c) $370,000  

The Tax on c above (d);

$105,629.25 = $46,278.75 + [($370,000 - $190,150) x 33%]

The Tax on b above ( e);

$8,747.50 [($45,050 x 15%) + ($9,950 x 20%)]

The Total Income tax (f) $114,376.75 (d + e)

The Investment Income, if any (g) $2,090

($55,000 x 3.8% = $2,090)

The Net Income tax payable $116,466.75 (f + g)

D. The Taxable Income (a) $195,000  

The Prefrentially taxed income (b) $50,000  

The Income taxed at ordinary rates is ( c) $145,000  

The Tax on c above (d);

$33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]

The Tax on b above ( e);

$7,500.00 = $50,000 x 15%

The Total Income tax (f) is $41,136.75 (d + e)

The Investment Income, if any (g) $380

The Net Income tax payable is $41,516.75 (f + g)

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