When Abdoulaye runs the 400 meter dash, his finishing times are normally distributed with a mean of 82 seconds and a standard deviation of 1 second. What percentage of races will his finishing time be between 81 and 82 seconds, to the nearest tenth?

Answers

Answer 1

Answer:

34.13 %

z(lower) = -1 (.15866)

z(upper) = 0 (.5)

Step-by-step explanation:

Answer 2

Answer: 34.1%

Step-by-step explanation:


Related Questions

write 0.824 as a fraction in the simplest form

Answers

103 over 125 or 103/125

Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .

What is the length of GQ¯¯¯¯¯?

Answers

Answer:

[tex]GQ =25[/tex] --- GoTV

Step-by-step explanation:

Given

[tex]GQ = 2x + 3[/tex]

[tex]GH= 5x - 5[/tex]

Required

Find GQ

Since Q is the midpoint, then:

[tex]GH = 2 * GQ[/tex]

This gives:

[tex]5x - 5 = 2[2x+3][/tex]

Open bracket

[tex]5x - 5 = 4x+6[/tex]

Collect like terms

[tex]5x - 4x = 5+6[/tex]

[tex]x =11[/tex]

We have:

[tex]GQ =2x+3[/tex]

This gives:

[tex]GQ =2*11+3[/tex]

[tex]GQ =25[/tex]

How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution

Answers

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

Any help to solve this one?



Answers

Answer:

Step-by-step explanation:

[tex]81^{1/2}[/tex]

[tex]3^4*{1/2}[/tex]

[tex]3^{4/2}[/tex]

[tex]3^{2}[/tex]

9

[tex]-16^{3/4}[/tex]

[tex](-2)^{4 *3/4}[/tex]

[tex](-2)^{12/4}[/tex]

[tex](-2)^{3}[/tex]

-8

A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant's research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. The mean restaurant's annual expense with the service contract for this freezer is ________. Group of answer choices $136.55 $25.20 $122.45 $89.90 $0

Answers

Answer:

,mm,nmplata

Step-by-step explanation:

plata

An equilateral triangle has has an era of 43.5 square feet the height is 8.5 feet what is the Perimeter of the triangle

Answers

Answer:

30.7 ft

Step-by-step explanation:

An equilateral triangle with area 43.5 has a height of 8.68 not 8.5

I will do the problem as written even though it is not a possible equilateral triangle

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

a = (1/2)bh

43.5 = (1/2)b(8.5)

43.5 = 4.25b

b = 43.5/4.25

b = 10.2352941176

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

p = 3b

p = 3 * 10.2352941176

p = 30.7058823528

~ 30.7 ft

Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?

Answers

Answer:

4.75 hour

Step-by-step explanation:

Whats the order of rotational symmetry for brainlest

Answers

Answer:

1

Step-by-step explanation:

A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.

Write an equation for the area with the length of x+10 and width 2x+5

Answers

Answer:

A =  (x+10) (2x+5)

A= 2[tex]x^{2}[/tex]+25x+50

Step-by-step explanation:

In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at least a few times a year. Find a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping.

Answers

Answer:   (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

[tex]\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, [tex]n[/tex] = sample size.

Given: [tex]n=1025, \hat{p}=0.29[/tex]

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

[tex]0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)[/tex]

[tex]\approx(0.25,\ 0.33)[/tex]

Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)

If y = arctan(cosx), then dy/dx​

Answers

Answer:

sure what are we gonna do

Step-by-step explanation:

If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)

Answers

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

Use the following property above to find the value. Substitute f(x) and g(x) in.

[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]

Evaluate/Combine like terms.

[tex] \large{2x + {x}^{2} - 5}[/tex]

This step is optional but it's the best to arrange the degree.

[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]

Answer

(f+g)(x) = x²+2x-5

Let me know if you have any doubts!

Catie keeps dogs and cats in her place. The number of cats is three times the number of dogs. What is a greatest number of cats if the total number does not exceed 58??​

Answers

Answer:

3:1 and im wrong

Step-by-step explanation:

What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6

Answers

The answer is A I think not sure though

Answer:

A

Step-by-step explanation:

Help on this question please.

Answers

Answer:

a) P = 6x + 13//

b) i) x = 5//

ii) 9//

Step-by-step explanation:

a) P = 2(x+2) + 2(2x-1) + 3 + 8 m

= 2x+4 + 4x-2 + 3 + 8

= 6x + 13//

b) i) P = 43 m

43 = 6x + 13

43-13 = 6x

30 = 6x

6 6

x = 5//

ii) longest side = (2x-1) m

2 × 5 - 1

10-1 = 9//

what is 1 6/9 +5 9/7

Answers

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

What angle corresponds to 1/6 of a circle

Answers

60 degrees. I looked it up lol

Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal

Answers

Answer:

0.5 I believe

Step-by-step explanation:

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.​

Answers

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.

Answers

Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?

Answers

Answer:

Caroline

Step-by-step explanation:

[tex]\frac{1}{5}: \frac{y}{42.5}[/tex]

y × 5 = 1 × 42.5

5y = 42.5

5y ÷ 5 = 42.5 ÷ 5

y = 8.5

[tex]\frac{1}{3}: \frac{y}{26.4}[/tex]

y × 3 = 1 × 26.4

3y = 26.4

3y ÷ 3 = 26.4 ÷ 3

y = 8.8

8.8 > 8.5

determine the missing angle.

Answers

The angle at the vertex of a rectangle is 90°

So, it means that,

= ? + 40 = 90

= ? = 90 - 40

= ? = 50

Answer:

50°

Step-by-step explanation:

x = ?°

x + 40° = 90°

x = 90° - 40°

x = 50°

I don’t know how to explain on why the student was incorrect

Answers

Answer:

the constant proportionality means the ratio between two directly proportional quantities.

so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25

constant proportionality should be same all through because it's a constant

The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the standard deviation is 40. A subject earns a score of 247. What is the z-score for this raw score

Answers

Answer: a carrot

Step-by-step explanation:

Plz help me solve this

Answers

your answer is in the image i provided !!

What is the vertex of the absolute value function below?

Answers

Answer:

(-3,2)

Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0

examples from your surroundings where we use negative rational number​

Answers

Answer:

U can see it in your thermometer

Step-by-step explanation:

I need to know how to solve this equation

Answers

Answer:

D

Step-by-step explanation:

a

--- + 8 = 4

-2.1

a

---- =4 - 8

-2.1

a

--- = -4

-2.1

a= -4 × -2.1

a= 8,4

the answer is D! hopefully this helps

4x + 5y = 12 and 3x + 4y = 9.25 . Solve for systems of equations

Answers

Answer:

y=1

x=7/4

Step-by-step explanation:

4x + 5y = 12

3x + 4y = 9.25

4x + 5y = 12

12x + 16y =37

-12x -15 y =-36

12x + 16y =37

y=1

x=7/4

y =1 the person above is correct

Do less Republicans (group A) then Democrats (group B) favor the government investing billions of dollars to improve the country's train system? One thousand Republicans and one thousand Democrats were asked if they favored spending billions to improve the country's train system. How would we write the alternative hypothesis?
A. Ha: pA - pB does not equal 0
B. Ha: pA - pB < 0
C. Ha: pA - pB > 0
D. Ha: pA - pB = 0

Answers

Answer:

I don't understand at all

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