The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec? 0. 15% 0. 30% 0. 60% 2. 50%.

Answer:

b

Step-by-step explanation:

We know we are trying to find an inverse function and the normal function of the first part would be (x+7)²-5, so we can eliminate all equations with an equation starting with  (x+7)²-5. So, a and f are out of the scope.

The domain of the inverse function will be the range of the normal function.

So, the range of the first part of the inverse function is -5 < x < -3 which is the domain of the normal function. Now, we can eliminate c, d, and e.

Our answer must be b.

=====================================================

Explanation:

The endpoint (-7,-5) reflects over the line y = x when forming the inverse. It will reflect to (-5,-7). The x and y coordinates swap.

The new point (-5,-7) forms the vertex of a piece of a parabola. Since it's the vertex, we have something of the form y = a(x+5)^2 - 7 which matches with choices B and D.

However, we can rule out choice D because the interval is not x < -3. Try out a point like x = -100 and it will make x < -3 true, but -100 is definitely not part of the reflected parabola formed. Instead, we must have -5 < x < -3 as the domain of the inverse.

Notice how the range of the square root portion on the left is -5 < y < -3. The range of the original function forms the domain of the inverse, and vice versa. Effectively, all we're doing is replacing y with x when going from -5 < y < -3 to -5 < x < -3.

--------------

Also another reason we can rule out choice D is to see that something like x = -2.5 will make log(x+2) to result in a non-real number. This is due to the fact that the domain of log(x) is x > 0. So the domain of log(x+2) is x > -2.

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Answer:

he spent  practicing the cello 10.5  hours

Step-by-step explanation:

The proportion is  1.5   (3/2)

7x1.5 = 10.5

Answer:

13. i dint understand

14. 9

15. (D)

16. (C)

17. I guess (A)

Step-by-step explanation:

Hope it helps!!!

we hat is the measure of ABC Is15

Answer:

Step-by-step explanation:

1. First step

ADD

7+4=11

7+5=12

so

11[tex]\frac{12}{8}[/tex]

2. Second step

Now simplify

11 12/8 = 12 4/8 = 12 1/2

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Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

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Answer:

$0.3

Step-by-step explanation:

$1.11 divided by 4 notebooks. Each notebook costs $0.3.

Answer:

Relate the points down below to yourself and give examples

Step-by-step explanation:

You show confidence and leadership

Being yourself/unique

You speak and interact kindly with everyone

You show respect and concern for others

You give advice to those who need it

You have humility and a willingness to admit mistakes.

You do good things outside of school

Answer:

13.6125 kg

Step-by-step explanation:

luggage weight = 9/16 of weight limit

=9/16×24.2 kg

=13.6125 kg

[tex]\tt \dfrac{9}{16}\times 24.2=13.6125=13.61~kg[/tex]

Answer:

The answer is A

Step-by-step explanation:

Point F just has to go right 1 and down 5 to get to the point (-1,0)

Hope this helped

Common ratio is 4

means each time the sequence becomes 4times more

Check B

Check D

Yes, Option B and D are correct

Answer:

[tex]\huge\boxed{ \sf x^4+28x^3+294x^2+1372x+2401}[/tex]

explanation:

[tex]\sf (x+7)^4[/tex]

[tex]\hookrightarrow \sf (x+7) (x+7) (x+7) (x+7)[/tex]

[tex]\hookrightarrow \sf (x^2 +14x+49)(x+7)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +14x^2+49x+7x^2+98x+343)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +21x^2 +147x +343)(x+7)[/tex]

[tex]\hookrightarrow \sf x^4 + 21 x^3 + 147x^2 + 343x + 7x^3 + 147x^2 + 1029x+ 2401[/tex]

[tex]\hookrightarrow \sf x^4+28x^3+294x^2+1372x+2401[/tex]

note: just keep multiplying and simplifying with patience.

[tex](x + 7)^{4} [/tex]

Write 4 as a sum

[tex] {(x + 7)}^{2 + 2} [/tex]

Use [tex] \boxed{ \pmb{ {a}^{m + n} = {a}^{m} \times {a}^{n} }}[/tex] to expand the expression

[tex] {(x + 7)}^{2} \times {(x + 7)}^{2} [/tex]

Use [tex] \boxed{ \pmb{(a + b)^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex] to expand the expression

[tex] ( {x}^{2} + 14x + 49) \times ( {x}^{2} + 14x + 49)[/tex]

Multiply the parentheses

[tex] {x}^{4} + 14 {x}^{3} + {49x}^{2} + 14 {x}^{3} + {196x}^{2} + 686x + {49x}^{2} + 686x + 2401[/tex]

Collect like terms

[tex] {x}^{4} + {28x}^{3} + {294x}^{2} + 1372x + 2401[/tex]

Answer:

t = 24r

Step-by-step explanation:

T represents the time 24 is the miles and r represents the miles per hour.

Both fractions have the same denominator so you just need to subtract the numerators:

14-4 = 10

They had 10/15 left.

This can be simplified to be 2/3

Answer: they had 2/3 pounds left.

Answer:

2/3 pounds left

Step-by-step explanation:

10/15 pounds left because

14/15 - 4/15 = 10/15

10/15 = 2/5

A brainliest would be appreciated if this helped you! :)

- profparis

Answer:

24 sides

Step-by-step explanation:

Answer:

c 9+4= 13 and -7+-3 is -10 and 15 is 15 XD

Step-by-step explanation:

I assume you meant to type f(x) = x³

Graph the function into desmos (or calculator if you have a graphing calculator)

Answer:

Opposite sides of the parallelogram are equal :

→ BC = AD

→ 5x - 8 = 2x + 7

→ 5x - 2x = 7 + 8

→ 3x = 15

→ x = 15/3

→ x = 5

Therefore, the value of x is 5.

Answer:

132.3

Step-by-step explanation:

follow the order of BODMAS

Answer:

1323/10

Step-by-step explanation:

1/2*15*(21/5) the power of 2

1/2*15*441/25

1/2*3*441/5

1323/10 or 132.3

Answer:

(1,10)

Step-by-step explanation:

2-1=1

4+6=10

Answer:

(1, 10).

When you pit on a graph, you are able to easily see that going up 6 and left 1 will put you at (1, 10).

The percentage of Alberto's income that is used to pay for his rent and groceries is 40%.

Amount for rent = $896

Amount for groceries = $384

Total amount = $1280

Therefore, the percentage of Alberto's income that is used to pay for his rent and groceries will be:

= 1280/3200 × 100

= 0.4 × 100

= 40%

Learn more about percentages on:

https://brainly.com/question/24304697

Answer

40% of Alberto's income is used to pay rent and goceries.

Step-by-step explanation:

1. Add his rent and goceries....

2. =$1280

3.Divide: 1280/3200

4.=0.4

5. 0.4x100

6. =40%

Answer:

All you have to do multiply the length by width and you'll find your answer

Step-by-step explanation:

Really hope it help

Answer:

B.

Step-by-step explanation:

2 out of the 6 squares are shaded. 1/3 times 2 = 2/6

Hope that helps!

Answer:

[B]

Step-by-step explanation:

We can cross multiply to see which is equal

[A] 1 out of 6 is shaded [1/6]

1/6 < 1/3

[B] 2  out of 6 is shaded [2/6]

2/6 = 1/3

[C] 3 out of 6 is shaded [3/6]

3/6 > 1/3

[D] 4 out of 6 is shaded [4/6]

4/6 > 1/3

As you can see [B] is equal to 1/3

Thus, [B} is the answer.

~Learn with Lenvy~

The option (D) some substances must dissolve into water to move into and out of a cell​ is not a result of water being a polar molecule

The water molecules contains

The oxygen atoms have a slight negative charge, while the hydrogen atoms have a slight positive charge.

Because of the opposite charges in water (i.e. negative charge in oxygen and positive charge in hydrogen), the water molecules stick and stay together.

Hence. option (D) is not a result of water being a polar molecule

Read more about polar molecules at:

https://brainly.com/question/545359

Answer:

24 cm

Step-by-step explanation:

area of triangle = (b x h)/2

36 / 3 = 12

12 x 2 = 24 (multiplied because we do the inverse)

to check:

24 x 3 = 72

72 / 2 = 36

If you need further help, let me know!

- profparis

Answer:

volume= 1040

surface area=696

Step-by-step explanation:

1/2x 13x10x16

=1040#

(1/2x12x10)2

=120

(16x13)2

=416

16x10

=160

120+426+160

=696#

Answer:

b[tex] {}^{6} [/tex]

Step by Step Solution

STEP 1:

1.1 b[tex] {}^{3} [/tex]raised to the 2 nd power = b([tex] {}^{( 3 * 2 )} [/tex]= b[tex] {}^{6} [/tex]

Final result :

b[tex] {}^{6} [/tex]

Answer:

  (5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

 [tex]\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}[/tex]

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

Given :

⠀

To Find :

⠀

Solution :

Here,

So, from l² = h² + r², we have :

⠀

⠀

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

⠀

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

⠀

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]