Use the figure below for items 6-7.
Х,
8
w
Z
6. If WY + XZ = 28, what is PZ? 'hint: find WY first
7. If XP = 7x - 2 and PZ = 4x + 10, what is XZ?

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:

B) x = -2 or x = 3/5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x² + 7x = 6

Step 2: Solve for x

Answer:

It’s A

Step-by-step explanation:

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:

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:

um D I really hope this helps

Step-by-step explanation:

: a p e x

Answer:

this is the correct answer

Answer:

$918.75

Step-by-step explanation:

2.5 ÷ 100 = 0.025 × 1050 = 26.25

26.25 × 5 = 131.25

1050 - 131.25 = 918.75

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.

9514 1404 393

Answer:

  84

Step-by-step explanation:

Assuming that "hoped for" and "expected" are the same number, The number Brianna has remaining is ...

  100(1 +20%)(1 -30%) = 100(1.2)(0.7) = 100(0.84) = 84

84 pumpkins were left.

Answer:

Answer is A,C, and D

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:

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]

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: 9:25

Step-by-step explanation:

The factors of the expression 42 - 12 are 2(21 - 6), 3(14 - 4), 6(7 - 2).

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, We have to factor 42 - 12.

Now, Factors of 12 are 1, 2, 3, 4, 6 and 12.

Factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.

Common factors of 12 and 42 are 2, 3 and 6.

So, 42 - 12.

= 2(21 - 6).

= 3(14 - 4).

= 6(7 - 2).

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The factored form of the expression 42 - 12 using the GCF is 6(7 - 2).

To factor the expression 42 - 12 using the greatest common factor (GCF), we need to find the largest number that divides both 42 and 12.

First, let's find the prime factorization of both numbers:

42 = 2 x 3 x 7

12 = 2 x 2 x 3

Now, let's find the common factors:

The common factors are 2 and 3.

Next, let's determine the GCF by multiplying the common factors:

GCF = 2 x 3 = 6

Finally, we can factor out the GCF from the expression:

42 - 12 = 6 x (7 - 2)

Therefore, the factored form of the expression 42 - 12 using the GCF is 6(7 - 2).

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Answer:

B. 16 = 4y

y = 4

Answer:

B. 16 = 4y

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 6n - 8. if right, your welcome.

Answer:

Slope 3/5

Step-by-step explanation:  

y=3/5x-47/5

Answer:

g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)

g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)

Step-by-step explanation:

The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.

Given :

The graph of the function g(x) is given.

The following steps can be used in order to determine the interval for g(x):

Step 1 - The value of g(x) means the value of y.

Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.

Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.

Therefore, the correct option is 3).

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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:

A''=(8,0)

B''=(12,-5)

C''=(16,-4)

D''=(17,3)

Step-by-step explanation:

Translations

The following points are given:

A=(2,3)

B=(6,-2)

C=(10,-1)

D=(11,6)

Two transformations will be applied:

T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y

T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y

Start with point A. First translation:

A'=(2+12,3-8)=(14,-5). Second translation:

A''(14-6,-5+5)=(8,0)

Now for point B. First translation:

B'=(6+12,-2-8)=(18,-10). Second translation:

B''(18-6,-10+5)=(12,-5)

Now for point C. First translation:

C'=(10+12,-1-8)=(22,-9). Second translation:

C''(22-6,-9+5)=(16,-4)

Finally for point D. First translation:

D'=(11+12,6-8)=(23,-2). Second translation:

D''(23-6,-2+5)=(17,3)

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:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

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