Compute z-score. Given ~ n(12,2.5),find z score when x =17

Answer:

Option B.

Step-by-step explanation:

We have the equation:

x^2 + 6*x - 2 = 0

Remember that:

(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2

Because the term with x^2 has a coefficient equal to 1, then a = 1.

(x + b)^2 = x^2 + 2*b*x + b^2

The ter with x is: 6*x

then:

2*b*x = 6*X

2*b = 6

b = 6/2 = 3

we have:

(x + 3)^2 = x^2 + 6*x + 9

Now, our equation is:

x^2 + 6*x - 2 = 0

Now we can add the term (11 - 11) = 0

x^2 + 6*x - 2 + (11 - 11) = 0

x^2 + 6*x - 2 + 11 - 11 = 0

x^2 + 6*x + (11 - 2) - 11 = 0

x^2 + 6*x + 9 - 11 = 0

And we know that:

x^2 + 6*x + 9  = (x + 3)^2

Then we can rewrite our equation as:

(x + 3)^2 - 11 = 0

Then the correct option is B.

The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:

Move the constant term (-2) to the other side of the equation:

x² + 6x = 2

Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:

x² + 6x + (6/2)² = 2 + (6/2)²

x² + 6x + 9 = 2 + 9

x² + 6x + 9 = 11

Now, let's look at the answer choices:

A. (x+3)² = 18

B. (x+3)² - 11

C. (x+3)² - 2

D. (x+3)² - 9

Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

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9514 1404 393

Answer:

  20%

Step-by-step explanation:

A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...

  English/Class = 72°/360° = 0.20 = 0.20×100% = 20%

20% of the students chose English.

Answer:

10000000 - 6872536 = 3127474

Hence 68,72,536 is 31,27,474 less than 1,00,00,000.

Answer:

C. 10

Step-by-step explanation:

AC = 4 units

BC = 5 units

use the triangle formula

1/2 × 4 × 5 = 10

Answer:

Step-by-step explanation:

6x4=24+1=25 75/25=3 .

oh and btw go back to high school

12 pieces ! ( > < )

for future reference, this will be a lot easier to do than using points !! so simple :))

use your calculator to divide the large number by the small number !! that should give your answer

and remember if a fraction is out of four think of it like quarters or 25 cents :3

so 75 divided by 6.25 is 12 !!

good job !!! ♡♡

Answer:

Stament a, b, and c are correct.

Statement d is INCORRECT.

Step-by-step explanation:

Based on the dot plots given, the following statements are true and correct:

✔️Statement A is correct

Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.

✔️Statement b is correct:

Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.

✔️Statement c is correct:

Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.

❌Statement d is NOT CORRECT

Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.

Answer:

Total interest you will pay is $103.07.

The total you will pay for interest and loan amount is $749.07

iStep-by-step explanation:

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

[tex]r {}^{2} = {x}^{2} + {y}^{2} [/tex]

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

[tex] \tan(x) = \frac{y}{x} [/tex]

Remeber since we are trying to find the angle measure, use inverse tan function

[tex] \tan {}^{ - 1} ( \frac{y}{x} ) = [/tex]

Answers For 2,5

[tex] {2}^{2} + {5}^{2} = \sqrt{29} = 5.4[/tex]

So r=sqr root of 29

[tex] \tan {}^{ - 1} ( \frac{5}{2} ) = 68[/tex]

So the answer is (sqr root of 29,68).

For -3,3

[tex] { -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2} [/tex]

[tex] \tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45[/tex]

Use the identity

[tex] \tan(x) = \tan(x + \pi) [/tex]

So that means

[tex] \tan(x) = 135[/tex]

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

[tex] {5}^{2} + {3.5}^{2} = \sqrt{37.25} [/tex]

[tex] \tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35[/tex]

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

[tex] {0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4[/tex]

So r=5.4

[tex] \tan {}^{ - 1} (0) = undefined[/tex]

So our points are (5.4, undefined)

Answer:

volume = 14 2/3 units³

Step-by-step explanation:

volume = 7 1/3(2) = 14 2/3 units³

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

= (7+6) feet (7+9) inches

=13 feet 16 inches

Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

=13 feet +( 1 feet +4 inches)

= 14 feet 4 inches

Hence, the total length of the two tables =  14 feet 4 inches

Answer:

Since we know that the sum of the two angles equal 180, we can add them together to equal 180 degrees.

2x+10+x+26=180

Combine like terms.

3x+36=180

Subtract 36 from both sides.

3x=144

Divide 3 from both sides.

x=48

Hope this helps :)

Step-by-step explanation:

Answer:

Seattle is more likely to have rain.

Step-by-step explanation:

Seattle has a 75% chance of rain

Tacoma has a 1/4 chance of rain.

100% = 4/4

75% = 3/4

50% = 2/4

25% = 1/4

25% < 75%

Answer:

Step-by-step explanation:

Answer:

I answered 6 already. I don't now what 7 means though sorry

Step-by-step explanation:

Answer

[tex]f(t) = 91000 *1.0376^t[/tex]

Explanation

Given

[tex]a = 91000[/tex] -- initial

[tex]r = 3.76\%[/tex]

Required

The exponential equation

The exponential equation is:

[tex]y =ab^t[/tex]

Where

[tex]b=1 +r[/tex]

We used minus, because the rate increases..

So, we have:

[tex]b=1 +3.76\%[/tex]

[tex]b=1 +0.0376[/tex]

[tex]b=1.0376[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 91000 *1.0376^t[/tex]

Hence:

[tex]f(t) = 91000 *1.0376^t[/tex]

Answer:

the eqaution would be

C=1.25h-0.5

The solution for 4 boxes would be

4.50 dollars

Step-by-step explanation:

Well c in this case is total

h is the amount of boxes

Since each box (h) cost $1.25 each, you multiply 1.25 by h.

Then that one time coupon off his total would be just -0.50

Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation:

Answer:

yup your answer is right

Step-by-step explanation:

two x solutions are +2√3

+2√3 can be written as +2√3 or -2√3

Answer:

yesssss you are rightttt

Answer:

6

Step-by-step explanation:

iuiiiiuiuiuuuiuuuuuuuiuuuuii

Answer:

your answer will be 3

Step-by-step explanation:

9514 1404 393

Answer:

  240

Step-by-step explanation:

The value is proportional to the fraction:

  n/(2/3) = 54/(0.15)

  n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3

2/3 of the number is 240.

Answer:

15

Step-by-step explanation:

45+15=4x

60=4x

15=x

Answer

3/2, -5

Step-by-step explanation:

Answer:

Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.

Step-by-step explanation:

I hope this helps :)

Answer:1+1=2

Step-by-step explanation:

Yeah Bio

Answer:

B. Yes, all the conditions are met.

Step-by-step explanation:

According to the question

There is a random sample of 111 people also these people are independent

The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size

And, the number of success in the sample is 93

So, the number of failure would be

= 111 - 93

= 18

So, the 93 and 18 would be higher than 10

Therefore, the option b is correct

Answer:

E

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = rise / run = 7 / 1 = 7

m = 7

y-intercept = 0

So:

y = 7x + 0

y = 7x

Answer:

Yes.

Step-by-step explanation:

No x value is used twice.