A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?

12 feet below the surface of the water
12.5 feet below the surface of the water 52.5 feet below the surface of the water 92.5 feet below the surface of the water​

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that [tex]\mu = 39725, \sigma = 7320[/tex]

Sample of 125:

This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}} = 654.72[/tex]

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{39000 - 39725}{654.72}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

Answer:

the answer would be false

Answer:

(B) 0.0864

Step-by-step explanation:

Correct on Edge

Answer:

98 in²

Step-by-step explanation:

14x7=98

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

Answer:

he can buy McDonalds

he can go to grocery store and buy something to cook or maybe bakery iteams

Answer:

hmm

Step-by-step explanation:

he can go buy some rice and boil it as dinner for a lot of food

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

∴ y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

Answer:

[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the base of the triangle BC = 11

The height of the triangle AB = 7

The hypotenuse of the triangle AC = x

Now , the length of AC can be calculated from the Pythagoras Theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , AC² = AB² + BC²

Substituting the values in the equation , we get

AC² = 11² + 7²

AC² = 121 + 49

AC² = 170

Taking square roots on both sides of the equation , we get

The value of AC = √170

The value of AC = 13.038

Therefore , the value of x = 13.038

Hence ,

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

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Answer:

m<IHK = 68°

Step-by-step explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°

Step-by-step explanation:

if f (x) = 100 - x;

as x increases, the value of f(x) will decrease

Answer:

100 decreases

Step-by-step explanation:

Answer: 90 yards

Step-by-step explanation:

10 by 3 by 3 is 90

Answer:

D

Step-by-step explanation:

[tex]5(3x-2)=6\\15x-10=6\\15x=16\\x=\frac{16}{15}[/tex]

Answer:

D.) 16/15

Step-by-step explanation:

To solve we must first distribute the 5 to everything that is inside the parenthesis. To do this we can multiply 5×3x = 15x     and      5×-2 = -10.We can then combine these new numbers and set them equal to 6.

5(3x-2) ---> 15x-10=6

From here we need to get the x on one side all alone. To do this we need to first move the -10. We can add 10 to both sides.

15x=6+10

Simplify...

15x=16

Then we can divide both sides by 15 to get x alone

x=16/15

Answer:

D

Step-by-step explanation:

median because it indicates the expected range of gas prices

Answer:

Rule : x subtracted by 12 = y , first ? = 6 (6,-6) , second ? = -22 (-10,-22)

Answer:

false

Step-by-step explanation:

i dont understand kinda

but if you add it,

88<106

so false

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

Answer:

53

Step-by-step explanation:

[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]

Answer

53

Step-by-step explanation:

Answer:

A. Five more than the product of 8 and 3, minus 2

Step-by-step explanation:

A is the correct answer because it correctly displays "5 + 8 x 3 - 2"

Hope this helps. :D

-Luna

Answer:

P(Z>2.24) = P(70<X<1e99) = 1.25%

Step-by-step explanation:

Calculate Z-score:

Z=(x-μ)/σ

Z=(70-63.5)/2.9

Z=6.5/2.9

Z=2.24

Find area greater than Z-score:

P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.

Answer:

[tex]-1\frac{1}{2}[/tex]

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

[tex]\frac{y^2-y^1}{x^2-x^1}}[/tex]

To understand what the variables are, you can take this :

[tex](x^1,y^1)[/tex]

[tex](x^2,y^2)[/tex]

Substitute the points :

[tex](-1,4)[/tex]

[tex](5,-5)[/tex]

Now substitute it into the formula :

[tex]\frac{-5-4}{5-(-1)}[/tex]

[tex]\frac{-3}{2}[/tex]

[tex]-1\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

find the slope m  by using the slope formula

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

Point1 = ( -1,4)  where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9  /  ( 5 +1 )

m = -9 / 6

m = - 3/2

Answer:

sure Gigi,    as below

Step-by-step explanation:

A)

we want to know the rates.  so this like like in MPH (Miles per hour)  or feet per second but something that we can compare each walker with the other .... so we want some type of scale that makes sense.  what are the given units.... they are distance in miles and time in hours.. so maybe MPH would work for this.

there is a very good, basic formula that you should just remember for this type of problem... I can it the dirt formula... partly b/c it's dirt easy.. and partly b/c it really is about how much dirt you cover.. i mean.. how far you do... in a distance .. and you can use any unit you want...  like we'll use miles here.. for our units..  we will you d = rt  where d= distance , r= rate and t = time.

d = rt.... notice the formula looks a lot like the word  "dirt"   handy huh...

use it to make all the walks have a number...  their rate... the r in the formula... to compare with,  so use your algebra skills to rearrange the formula... to

d/t = r      now we can plug in each of the walkers and get a rate to comparr them  

Aisha  5/2 = r  so 5/2 MPH

Bob  7.5 / 5 = r  so 7.5 = 15/2   then (15/2)  /  5   = (15/2) * (1/5)  ( cross cancel the 15 and 5  so you get  (3/2) * (1/1) =  3/2

Bob = 3/2 MPH

Cora = 9 / 3.6    or   9 / 3[tex]\frac{6}{10}[/tex]   or  (9/1) / ([tex]\frac{36}{10}[/tex])  or  (9/1) * (10 / 36) cross cancle the 9 and 36 so you get     (1/1) * ( 10 / 4)   = 10/4 = 5 /2

Cora = 5/2 MPH

Dylan = 3.75 /2.5  or  3 [tex]\frac{3}{4}[/tex] / 2[tex]\frac{1}{2}[/tex]  or  (15/4) / (5/2)  or (15/4 ) * (2/5)  cross cancel the 2 and 4 and also cross cancel the 15 and 5    then,   (3/2) * ( 1/1)= 3/2

Dylan = 3/2 MPH

            MPH

Aisha = 5/2

Bob   =  3/2

Cora  =  5/2

Dylan = 3/2

you can now make fair comparisons among the 4 people

B)

d = rt

d/t = r

Emilio  =  19.2 / 6   or 19[tex]\frac{2}{10}[/tex] / 6  or  (192/10 ) / (6/1)  invert and multiply to bring the denominator up   (192/10) *  (1/6)  cross cancle 6 into 192 = 32

so(32/10) * ( 1/1) = 32/10  or  16/5 =  3[tex]\frac{1}{5}[/tex] or 3[tex]\frac{2}{10}[/tex] which is  3.2 MPH

Fala  = 10.5 / 3   or  10[tex]\frac{1}{2}[/tex] /3   or  [tex]\frac{21}{2}[/tex] / 3   or   (21/2) / (3/1)  invert and multiply the denominator    (21/2) * ( 1/3)  , cross cancel 3 and 21    (7/2) * ( 1/1)  = 7/2

so now you have all the rates.. how fast they are walking.  in Miles per hour and that's what the scale of the number line is.. so, good.. just mark each of their speeds

Bob and Dylan = 3/2 or  1.5 MPH... pretty slow.. huh :P

Cora and Aisha = 5/2 or 2.5 MPH  faster but not fast

Emilo 3.2 MPH  pretty quick

Fala 3.5 MPH  she's fast. :D  speed walking

3.2 on the number line is not marked.. 3.25 is.. so just a bit below the 3.25 mark.. that's 3[tex]\frac{1}{4}[/tex] , see it?

all the others are marks on the number line.. just count marks for 1//2s

Answer:=

2π/3

Step-by-step explanation:

plato

Answer:

c. 480 miles.

Step-by-step explanation:

From the graph:

after 5 hours  distance travelled is 200 miles.

So by proportion distance in 12 hours = 200 * 12/ 5

= 2400/5

= 480 miles.

2+6 is 8

(It says I need 20 characters to make an answer so Im just writing this down)

Answer:

A. 7.5%

B. 68.26%

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 52.5 mm and a standard deviation of 2.5 mm.

This means that [tex]\mu = 52.5, \sigma = 2.5[/tex]

A. Less than 48.9 mm

The proportion is the pvalue of Z when X = 48.9. So

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

[tex]Z = \frac{48.9 - 52.5}{2.5}[/tex]

[tex]Z = -1.44[/tex]

[tex]Z = -1.44[/tex] has a pvalue of 0.075

0.075*100% = 7.5%, which is the answer.

B. Between 49 and 55

The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So

X = 55

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

[tex]Z = \frac{55 - 52.5}{2.5}[/tex]

[tex]Z = 1[/tex]

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

X = 49

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

[tex]Z = \frac{49 - 52.5}{2.5}[/tex]

[tex]Z = -1[/tex]

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

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26%, which is the answer.

The percent of the butterflies had the given wingspans are;

A) 7.5%

B) 76.64%

We are given;

Population mean; μ = 52.5 mm

Population standard deviation; σ = 2.5 mm

Formula for z-score is;

z = (x' - μ)/σ

A) For less than 48.9 mm,P(X' < 48.9);

z = (48.9 - 52.5)/2.5

z = -1.44

From online p-value from z-score calculator, we have;

P(X' < 48.9) = 0.075 or 7.5%

B) For x' between 49 and 55, P(49 < X < 55)

At x' = 49;

z = (49 - 52.5)/2.5

z = -1.4

Z-score at x' = 55;

z = (55 - 52.5)/2.5

z = 1

From online p-value from z-score calculator, the p-value between the two z-scores is;

p = 0.7664 or 76.64%

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Answer:

2/3x+8=y

Step-by-step explanation:

8x-12y=-96

8x+96=12y

8/12x+8=y

2/3x+8=y

The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.

Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.

Given:

The equation, E = 8x – 12y = -96,

The standard intercept form of a line,

[tex]y = mx + c[/tex]

Here m is the slope,

For this form, arrange the equation,

– 12y = -8x - 96

(Do multiplication of  -1/ 4 on both sides)

3y = 2x + 24

Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.

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