Select the correct statement about the function represented by the table.

Answer:x= 16.5

Step-by-step explanation:as both the triangles are similar, then

AB/ PQ=AC/ PR

16/24=18/(2x-6)

x= 16.5

Answer:

no they are not

Step-by-step explanation:

Complete question :

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 410 grams. If a 32 ​-week gestation period baby weighs 3300 grams and a 40 ​-week gestation period baby weighs 3600 ​grams, find the corresponding​z-scores. Which baby weighs more relative to the gestation​ period? Find the corresponding​ z-scores. Which baby weighs relatively more​?

Answer:

32 - 35 weeks = 0.56

40 weeks : 1.22

40 weeks babies weigh more

Step-by-step explanation:

Given that :

32 - 35 weeks babies :

Mean (m) = 2800

Standard deviation (s) = 900

Weight (x) = 3300

40 weeks babies :

Mean (m) = 3100

Standard deviation (s) = 410

Weight (x) = 3600

Obtain the standardized score for both categories :

Zscore = (x - m) / s

32 - 35 weeks :

Zscore = (3300 - 2800) / 900

Zscore = 0.555555 = 0.56

40 weeks :

Zscore = (3600 - 3100) / 410

Zscore = 1.2195121 = 1.22

Zscore for 40 weeks is higher than 32-35 weeks.

Hence, 40 weeks babies weigh more.

Answer:

Could you possible elaborate on the question more?

Answer:

P(X = 2) = 0.3157

Step-by-step explanation:

Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.

Then;

p = 0.31

n = 5; x = 2

q = 1 - p

= 1 - 0.31

= 0.69

∴

The probability mass function is:

[tex]P(X =x) = ^n C_r * p^x *q^{n-x}[/tex]

[tex]P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}[/tex]

[tex]P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}[/tex]

[tex]P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]

[tex]P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]

[tex]P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}[/tex]

[tex]P(X =2) =10* (0.31)^2 *0.69^{3}[/tex]

P(X = 2) = 0.3157

The two consecutive integers will be 99 and 100.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sum of two consecutive integers is 199.

Let the first number be x and the next consecutive number will be (x + 1). Then the equation will be

x + x + 1 = 199

2x = 199 - 1

2x = 198

x = 198 / 2

x = 99

Then the two consecutive integers will be 99 and 100.

More about the Algebra link is given below.

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Answer:

B

Step-by-step explanation:

Shigaraki told me

Answer:

Slope 3/5

Step-by-step explanation:  

y=3/5x-47/5

Answer:

this is the correct answer

Answer:

The value is  [tex]P( X > 0.50) = 0.089264[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  500

   The  population proportion is  p =  0.47  

Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as

        [tex]\mu_x = p = 0.47[/tex]

Generally the standard deviation of the sampling distribution is mathematically represented as

       [tex]\sigma = \sqrt{\frac{p(1- p )}{ n} }[/tex]

=>     [tex]\sigma = \sqrt{\frac{ 0.47 (1-0.47 )}{ 500 } }[/tex]

=>     [tex]\sigma = 0.0223[/tex]

Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as

          [tex]P( X > 0.50) = P( \frac{ X - \mu }{ \sigma } > \frac{ 0.50 - 0.47 }{ 0.0223 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>        [tex]P( X > 0.50) = P( Z> 1.3453 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.3453   is

          [tex]P( Z> 1.3453 ) = 0.089264[/tex]

So  

          [tex]P( X > 0.50) = 0.089264[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample proportions of size n of a proportion p has [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The mean and the standard deviation are:

[tex]\mu = p = 0.47[/tex]

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.47(0.53)}{500}} = 0.0223[/tex]

The probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is 1 subtracted by the p-value of Z when X = 0.5, hence:

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.5 - 0.47}{0.0223}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a p-value of 0.9099.

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

A similar problem is given at https://brainly.com/question/24663213

Answer:

sure, but not sure if this is allowed on brainly...

also this is just tutoring

Answer:

1/2

Step-by-step explanation:

3/4 minus 1/4 is equal to 2/4

2/4 is 1/2

Answer:

1) -9 (this is where the y values stop and 'go the other way')

2) 1 (this is where the y values also stop and 'go the other way')

3) greater than (the y intercept on a table is found by looking where x = 0 and seeing what y equals. on a graph its just where the line crosses the y axis)

4) less than (idrk know how to explain this one sorry)

Step-by-step explanation:

hope this helps <3

Answer:

The line of symmetry for function f is  

x = 2 and the line of symmetry for function g is x = 1

.

The y-intercept of function f is greater than

the y-intercept of function g.

Over the interval [2, 4], the average rate of change of function f is  

less than the average rate of change of function g.

Step-by-step explanation:

Answer:

0.004398

Step-by-step explanation:

Given that:

p = 44% = 0.44

Number of trials (n) = 17

Probability that exactly 2 of them use smartphones in meetings or classes =?

Using the binomial probability formula :

P(x = 2)

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 2) = 17C2 * 0.44^2 * 0.56^15

P(x = 2) = 136 *0.1936 * 0.0001670399

P(x = 2) = 0.00439809

P(x = 2) = 0.004398

Answer: 128

Work: I just did 4 to the power of 3 which is 64, and I did 8 to the power of 2 which is also 64. 64 + 64 = 128, which is the answer. I hope this helps, and stay safe. :)

Answer: 6600

Step-by-step explanation:

To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?

Hint #22 / 5

Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}

100

5.5

​

start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.

\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd

Hint #33 / 5

To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.

\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54

Hint #44 / 5

\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}

0.055x

0.055

0.055x

​

x

​

=$1.54

=

0.055

$1.54

​

=6600

Answer:

A 4 side dice.

Step-by-step explanation:

Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.

You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.

Answer:

57

Step-by-step explanation:

Answer:

B. 16 = 4y

y = 4

Answer:

B. 16 = 4y

Step-by-step explanation:

I hope this helps!

9514 1404 393

Answer:

  loss of $285,000

Step-by-step explanation:

The demand for the Savannah design is estimated to be ...

  Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens

Then the contribution margin from sales will be ...

  122,500($25 -$6 -$5) = $1,715,000

Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...

  $2,000,000 -1,715,000 = $285,000

The first-year loss will be $285,000.

Answer: 9:25

Step-by-step explanation:

Answer:

y=-5/2x+1

Step-by-step explanation:

-1-4 ( -5 )

0- (-2 ) = 0+2 ( 2 )

-5/2

y=-5/2x+b

4=-5/2( -2 ) +b

4= 5+b

Subtract 4 from 5 ( 1 )

b=1

y=-5/2x+1

Hope this helped, Have a Great Day!!

The equation of the line passing from the given points is y = -5x/2-1

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a line is passing through two points (-2, 4) and (0 -1)

We know that, the equation of a line passing through two points is given by,

y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)

Therefore,

y-4 = (-1-4)/(0+2)(x+2)

y-4 = -5/2(x+2)

y = -5x/2-5+4

y = -5x/2-1

Hence, The equation of the line passing from the given points is y = -5x/2-1

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Answer:

3 plus 3, that is the sequence

Answer:

Answer is A,C, and D

Step-by-step explanation:

9514 1404 393

Answer:

  y = -1/4x^2 -3/2x +3/4

Step-by-step explanation:

You know that vertex form is ...

  y = (1/(4p))(x -h)^2 +k

for a focus-vertex distance of p and a vertex of (h, k).

Here, the focus-vertex distance is 2-3 = -1 (difference of y-coordinates), and the vertex is (h, k) = (-3, 3). This means the vertex form equation is ...

  y = -1/4(x +3)^2 +3

Expanding the square gives ...

  y = -1/4(x^2 +6x +9) +3

  y = -1/4x^2 -3/2x +3/4

_____

Additional comment

The square of a binomial is ...

  (x +a)^2 = x^2 +2ax +a^2

Answer:

Step 1 is the first error

Step-by-step explanation:

Given

[tex]\frac{2}{9} + \frac{1}{5}[/tex]

Required

Which step contains the first error?

From the attachment, the first step is the first error.

This is so because the fractions can not be written as a fraction with a denominator of 14

Solving further:

[tex]\frac{2}{9} + \frac{1}{5}[/tex]

Find Common Denominator 45

[tex]\frac{2*5}{9*5} + \frac{1*9}{5*9}[/tex]

[tex]\frac{10}{45} + \frac{9}{45}[/tex]

Add:

[tex]\frac{10 + 9}{45}[/tex]

[tex]\frac{19}{45}[/tex]