Simplify:
a) 3x + 5y - x + 2y
b)
3g + 5h + 4g - 2h

Answer:

15 years (180 months)

Step-by-step explanation:

turn it into months first

147

216

163

206

180

168

add them together, then divide by how many there are

1,080/6=180 months

180/12 =15

Answer:

Elder brother: 25

Younger brother: 5

Step-by-step explanation:

38 - (4+4)= 30

Now trial all square numbers

e.g 2 + 4 = 6 (does not work)

5 + (5x5)= 30

Answer:

Coefficient is your answer

Answer:

3 is a coefficient

Step-by-step explanation:

a constant is a number without a variable and that is unchanging

3 has the variable w attached to it and will change with the value of w

hope this helps <3

Answer:

a. 0.6826 = 68.26% probability that a randomly selected x-value from the distribution is between 29 and 37.

b. 0.4987 = 49.87% probability that a randomly selected x-value from the distribution is between 33 and 45.

c. 0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at least 29.

d. 0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at most 37.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A normal distribution has a mean of 33 and a standard deviation of 4.

This means that [tex]\mu = 33, \sigma = 4[/tex]

a. between 29 and 37

This is the pvalue of Z when X = 37 subtracted by the pvalue of Z when X = 29. So

X = 37

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

[tex]Z = \frac{37 - 33}{4}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 29

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

[tex]Z = \frac{29 - 33}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that a randomly selected x-value from the distribution is between 29 and 37.

b. between 33 and 45

pvalue of Z when X = 45 subtracted by the pvalue of Z when X = 33. So

X = 45

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

[tex]Z = \frac{45 - 33}{4}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.9987

X = 33

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

[tex]Z = \frac{33 - 33}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.9987 - 0.5 = 0.4987

0.4987 = 49.87% probability that a randomly selected x-value from the distribution is between 33 and 45.

c. at least 29

This is 1 subtracted by the pvalue of Z when X = 29. So

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

[tex]Z = \frac{29 - 33}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at least 29.

d. at most 37

This is the pvalue of Z when X = 37. So

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

[tex]Z = \frac{37 - 33}{4}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at most 37.

Following are the solution to the given points:

Given:

[tex]\to Mean \ (\mu)= 33\\\\ \to \text{standard deviation}\ (\sigma) =4 \\\\[/tex]

To find:

find points=?

Solution:

For point a:

[tex]\to P (29 <x<37) = P(\frac{29-33}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{37-33}{4} )[/tex]

                              [tex]= P(\frac{-4}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{4}{4} )\\\\= P(-1 \leq z \leq 1 )\\\\= P(-1 < z <1 )\\\\= P(Z <+1) - P(Z <-1) \\\\=0.84134 - 0.15866\\\\= 0.68268 \\\\=68.268\%[/tex]

For point b:

[tex]\to P (33 <x<45) = P(\frac{33-33}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{45-33}{4} )[/tex]

                 [tex]= P(\frac{0}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{12}{4} )\\\\= P(\frac{0}{4} \leq \frac{X-\mu}{\sigma} \leq 3 )\\\\= P(-2< z< 0)\\\\= P(Z <-2) - P(Z <0) \\\\=0.9987-0.5 \\\\= 0.4987\\\\= 49.87\%[/tex]  

For point c:

When X = 29, subtract by 1 from the p-value of Z.

Using formula:

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

        [tex]=\frac{29-33}{4} \\\\ =\frac{-4}{4} \\\\= -1 \\\\=1 - 0.1587 \\\\= 0.8413 \\\\= 84.13\%[/tex]

For point d:

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

        [tex]= \frac{37-33}{4}\\\\ =1\\\\ =\text{1 has a p-value of}\ 0.8413\\\\=0.8413 \\\\= 84.13\%[/tex]

So, the answer is " 68.268%,49.87%, and 84.13%"

Learn more about the normal distribution:

brainly.com/question/12421652

Area of square pyramid:

⅓×[base area]×height

according to the question

⅓×[8×8]×12

simplify parentheses:

⅓×64×12

Simplify fraction

64×4

Simplify multiplication

256

256      did the test on k12 Answer:

c

Step-by-step explanation:

Answer:

When t = 3, y = 12.  y = 4t, for t>0

Step-by-step explanation:

8 = 4 x 2; y = 4 x 3 = 12.

Answer:

The answer is b. 0.029

Step-by-step explanation:

Margin error for a sample size of 1200 is 2.9%.

The Margin error formula can be represented as:

[tex]z \times \: \sqrt{ \frac{p0(1 - po)}{n} } [/tex]

Where

z = critical value

n = sample size

[tex]p0 = sample \: proportion[/tex]

Answer is in the file below

tinyurl.com/wpazsebu

Answer: The answer is 7mn+3m/2+5n/4

7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

A polynomial is an expression with variables and coefficients separated by addition and subtraction.

The following are used when determining if an expression is a polynomial:

i) Variables of a polynomial must not have negative exponent.

ii) Variables of a polynomial must not have fractional exponent.

iii) Dividing by an exponent is not allowed

iv) Exponent radicals are not allowed.

7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.

Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ5

Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

A:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

Then plug in h which is hours. To get your answer

B:

From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

So we plug in 28 for h and get our answer of 25400 gallons/hour

Answer:

I think the answer is A as well

Step-by-step explanation:

Answer:

a a a a a a a a  a a a a  a

Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

nsjdjdjdjdjndnsjdjdjjddbjdjsjsj its 1.75

Answer:

7/4

Step-by-step explanation:

3/4 * 2 1/3 = 7/4

Hope this helps =]

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)

Answer:

1 3/40, or  1.075!

Step-by-step explanation:

Please tell me if i made a mistake or misunderstood.

Answer:

51°

Step-by-step explanation:

35°+(2x+16)°+(4x+3)°=360°

54°+6x=360°

6x=360°-54°

6x=306°

x=306°/6

x=51°

Answer:

rajjsjdjdjxkkdkdkdkkdjxjjdjxjckfkjdjfuidid

Answer:

The value of p is 1

Step-by-step explanation:

we know that  

The standard form of the equation of a horizontal parabola is

(y - k)² = 4p(I - h)

where

(h,k) is the vertex

p[tex]\neq[/tex] 0

if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

In this problem we have

I = [tex]\frac{1}{4}[/tex]y²

Convert to standard form

y² 4I

The vertex is the point (0,0)

4p = 4

P = 1 -----> p > 0, the parabola opens to the right  

Answer:

Step-by-step explanation:

if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,

the sale price was

(17,500*100)/0.07=250,000

Answer:

negative 8 times a number is the desired answer to this mathematical problem about algebra.

Answer:

-7.5

Step-by-step explanation:

-4.2×-4.2 = 17.64

-132.3/17.64= -7.5

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

Answer:

4.05 dollars

Step-by-step explanation:

4 dollars and 5 cents. 15 percent of 27 is 4.05

Answer:

6

Step-by-step explanation:

16=n +10

subtract 10 from both sides and your left with 6=n

Answer:

7

Step-by-step explanation:

The range is the distance between the largest and smallest number. So 9-2=7

Hope this helped!

Answer: 9-2=7

Step-by-step explanation:Range is the highest value minus the lowest value in the data set.

Answer:

A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Area of parallelogram = Area of 2 small triangles

Therefore,

[tex]2( \frac{1}{2} \times 15.1 \times 7) = 105.7 {ft}^{2} [/tex]

Answer:

a. percentage of children with myopia = 24.87%

b. 3.23% of children living in Australia have myopia

29.14% 0f children living in Singapore have myopia

Step-by-step explanation:

a.

the table is an attachment

percentage of children with myopia in this study

number of children with myopia in Australia = 4

number of children with myopia in Singapore = 183

total children with myopia = 4 + 183 = 187

total number of Australian children = 124

total number of Singapore children = 628

total number of children = 124 + 628 = 752

percentage with myopia = 187/752 * 100 = 24.87%

2.

percentage of Australian children with myopia

total children from Australia = 124

those with myopia = 4

percentage = 4/124 * 100 = 3.23% of children living in Australia have myopia

percentage of Singapore children with myopia

total number of children = 628

those with myopia = 183

percentage = 183/628 * 100 = 29.14% 0f children living in Singapore have myopia

Answer:4

Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.

So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12

The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12

So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.

So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.

Answer:

4

Step-by-step explanation:

x²+2(x)(?)+?²=22

multiply by 2 because the coefficient of the higher degree in the first equation is 2

2x²+2(2(x)(?))+2(?²)-2(22)=0

2x²+4x(?)+2?²-44=0

Comparison

4x(?)=16x

?=4

2?²-44=-12

So, 2?²=-12+44

2?²=32

?²=16

?=4

Answer:

C

Step-by-step explanation:

Use the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-3 - 2) / (5 - 3)

m = -5/2

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Hope it helps you,

Mark me brainliest plz....

Follow me! :)