Mathematics High School

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

What percent of the scores were below 66?

What is the probability that a student earned a score between 66 and 86?

Answers

Answer 1

Answer:

a) 15.866%

b) 0.68268

Step-by-step explanation:

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

We solve the above question using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 76

σ is the population standard deviation = 10

a) What percent of the scores were below 66?

x < 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x<66) = 0.15866

Converting to Percentage =

0.15866 × 100

= 15.866%

b) What is the probability that a student earned a score between 66 and 86?

For x = 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x≤ 66) = 0.15866

x = 66 = 0.15866

For x = 86

Hence,

z = 86 - 76/10

z = 1

Probability value from Z-Table:

P(x≤ 86) = 0.15866

x = 66 = 0.15866

Probability value from Z-Table:

P(x = 86) = 0.84134

The probability that a student earned a score between 66 and 86 is calculated as:

P(x = 86) - P(x = 76)

= 0.84134 - 0.15866

= 0.68268

Related Questions

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct​

Answers

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

HELP ME PLEASE! THE ATTACHMENT HAS THE INFO.
THANK YOU!

Answers

Answer:

The answer is B

Step-by-step explanation: yo mum u dont need one

Answer:

Your answer is b

Step-by-step explanation:

Step-by-step explanation: None

PLEASE HELP I DONT KNOW HOW TO SOLVE THIS :((​

Answers

Answer:

[tex]\displaystyle \angle A=30^\circ[/tex]

Step-by-step explanation:

We are given that in Circle O, Arc BAC measures 300°.

Recall that arc lengths will always total 360°. Therefore:

[tex]\stackrel{\frown}{BAC}+\stackrel{\frown}{CB}=360^\circ[/tex]

By substitution:

[tex]300+\stackrel{\frown}{CB}=360[/tex]

Thus:

[tex]\stackrel{\frown}{CB}=60^\circ[/tex]

∠A intercepts Arc CB. Since it is an inscribed angle, it will be half of its intercepted arc. In other words:

[tex]\angle A=\displaystyle \frac{1}{2}\stackrel{\frown}{CB}[/tex]

Therefore:

[tex]\displaystyle \angle A=\frac{1}{2}(60)=30^\circ[/tex]

The original balance in Aisha’s account was $760. Last week, she wrote five checks to her employees, each for $100. what is Aisha’s net balance?​

Answers

The answer would be $260

Aisha's net balance after writing the check of $100 to five employees will be $260 .

Given, Aisha’s account balance $760.

Now, to get the net balance of account after deductions .

Remaining amount = Original Balance - Payment amount.

Substitute the values,

Remaining amount = $760 - 5 × $100

Remaining amount = $760 - $500

Remaining amount = $260

Know more about subtraction,

https://brainly.com/question/13619104

#SPJ4

please dont guess. need the answer asap

Answers

WILD ANSWER - 35% possibility it could be wrong. Please check with other answer first.

Answer: X=15.4

Step-by-step explanation:

Cos 39 = x/26

12 x  =  0.77714596

x = 15.44111479

X=15.4

An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above

Answers

Answer:

[tex]C = 1000S + 500B[/tex]

Step-by-step explanation:

Given

[tex]S = Banana\ Splits[/tex]

[tex]B=Bacon\ Rolls[/tex]

Reading through the question, we have:

Number of calories per serving:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Let

[tex]x = Cholesterol[/tex]

[tex]y =Sugar[/tex]

So, we have:

Each serving of S

[tex]x \to 1S[/tex]

[tex]y \to 3S[/tex]

Each serving of B

[tex]x \to 4B[/tex]

[tex]y \to 1B[/tex]

Recommendation

[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol

[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

[tex]S + 4B \le 10[/tex]

[tex]3S + B \ge 2[/tex]

[tex]3S + B \le 9[/tex]

Recall that the calories per serving is:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Hence, the objective function is:

[tex]C = 1000S + 500B[/tex]

20 points!!!
What is the energy of a photon emitted with a wavelength of 518 nm?

Answers

Answer:

3.84 x 10^-19

Step-by-step explanation:

a93x

Answer:

3.84 x 10^-19

Step-by-step explanation:

Are the following figures similar?

Answers

Answer:

no

Step-by-step explanation:

45/36=1.25

1.25x18=22.5

not 25

no common factor

so not similar

Square tiles measuring 4 inch on each side will be used to tile a 1-foot by 1-foot area. How many of these tiles are needed?

Answers

Answer:9

Step-by-step explanation:

4 inches fits into 12 inches three times. Three rows multiplied by three columns equals 12.

Hope that helps!

Identify the measures of exterior angle below. Let x = 15

Answers

plug in x as 15 and solve

Find the area of the rectangle.
2X+3
X+1

Answers

Answer:

Doesn't seem like a rectangle but when you combine like terms you get 5x+1

sorry if it didn't help.

Step-by-step explanation:

Answer: 2x squared + 5x + 3
Explanation: 2x+3(x+1)
2x(x+1) +3 (x+1)
2x (squared) + 2x + 3x + 3

hope that helps if u have any questions let me know also are u sure that this is the full question because it doesn't really make sense like it doesn't give any measurements at all so you can't really find the area you can only simplify the equation??
if there is any more information about this question comment under this and i will solve it fully!!

The probability that Scott will win his next tennis match is \frac{3}{5}
5
3
​What is the probability that he will not win?
​Write the answer as a percentage

Answers

3/5 is the probability that he will win, you must find a fraction which adds to make 100%.

2/5 would be the fraction for his probability to lose.

0.4 or 40%.

algebra 1! help!!!!!!

Answers

Answer:

x-4

Step-by-step explanation:

(x^2-16)/(x+4) = x-4

what is the sum of 3,9​

Answers

Answer:

3 + 9 = 12 !

Step-by-step explanation:

3 x 9 = 27 if you multiply

Find the unknown measures. around lengths to the nearest hundredth and angle measures to the nearest degree.

Answers

Answer:

choice 3)

JK = 3.51

WK = 9.15

∠J = 69°

Step-by-step explanation:

sin 21° = JK/9.8

0.3584 = JK/9.8

cos 21° = WK/9.8

0.9336 = WK/9.8

WK = 9.15

∠J = 90° - 21° = 69°

The sum of an integer and its _____ inverse is 0.

Answers

Answer- additive
Can u pls give Brainly if it’s right.

Which of the following is the standard form of (x-7)2 + (y +1)2 = 16?

Answers

Answer:

[tex](x - 7) {}^{2} + (y + 1) {}^{2} = 16 \\ this \: is \: an \: equation \: of \: circle \\ ( {x}^{2} - 14x + 49) + ( {y}^{2} + 2y + 1) = 16 \\ {x}^{2} + {y}^{2} - 14x + 2y + 50 = 16 \\ {x}^{2} {y}^{2} - 14x + 2y + 34 = 0[/tex]

Please!!!!!!!
Can someone please help me with this question.
I will mark the first person brainliest if they answer with an actual answer not a link.

Answers

Answer:

It's 5,-5 because you always put the x axis numbers first.

Step-by-step explanation:

I’ll not sure but I think it’s 3/-8

Una parcela de forma cuadradra mide 1089km2 de superficie cuantos metros mide el lado de la parcela

Answers

Respuesta:

3.3 × 10⁴ m

Explicación paso a paso:

Paso 1: Información provista

Superficie de la parcela cuadrada (S): 1089 km²

Paso 2: Determinar la longitud del lado (l) de la parcela

Podemos determinar la superficie de un cuadrado usando la siguiente fórmula.

S = l²

l = √S = √1089 km² = 33 km

Paso 3: Convertir "l" a metros

Vamos a usar el factor de conversión 1 km = 10³ m.

33 km × 10³ m/1 km = 3.3 × 10⁴ m

please heeeeeeeeeeeeeeeeeeelp

Answers

Answer:

its answer is option c .

hope it helps :)

Step-by-step explanation:

Given the function
y
=
(
−
6
+
x
−
6
x
2
)
(
−
9
−
9
x
)
,
y=(−6+x−6x
2
)(−9−9x), find
d
y
d
x
dx
dy
​
in any form.

Answers

Answer:

y=6+2x

Step-by-step explanation:

Use the graph to estimate the selling price for a 4-year old car.
O A. $24,000
B. $20,000
che c. $8,000
D. $16,000

Answers

Answer:

The Correct answer would be option D, $16,000.

Step-by-step explanation:

Look at the bottom section of the graph, that is labled

"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.

Two sides of a triangle have lengths of 9
and 18. Which inequality represents the
possible length for the third side, x?

A. 9 < x < 18

B. 18 < X < 9

C. 9
D. 18 < X < 27

Answers

D) 18 < X < 27

Because the length of the third side has to lesser that the sum of the other two sides

Answer:

I think that a option is correct

"A.9 <x<18"

Step-by-step explanation:

HOPE IT HELPS YOU:)

Which set of numbers contains only rational numbers?

Answers

Answer:

A because of the Earth or D because of you

The Morris family just bought 8 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
They now have 30 eggs
I need a bf

Answers

Answer:

105 eggs

Step-by-step explanation:

Total eggs they bought = ( 8×12) = 96 eggs

They already had 9 eggs so adding 96 and 9 gives us 105 eggs in total

like 105 eggs........

Can someone help me please

Answers

Answer:

6*6+16*20

=320+36

=356 so it's C

Answer:

C: 356 sq ft.

Step-by-step explanation:

Imagine a rectangle filling the empty space in the polygon.

Using this, we get 440 sq ft.

Now subtract the area that you filled in.

440-(14x6)=A

440-84=A

356=A

Find the equation of the line with Slope = -4 and passing through (-1,8). Write your equation in the form
y = mx + b

Does anyone mine helping me?

Answers

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

Pls help meee。I’m so confused TwT

Answers

It’s going to be three for the first one 3 is multiplied many times

What does A equal?

What does A equal?


Please answer both of the question!!

Answers

Answer:

5. 32,000

6. 0.006

Answer:

1=d

2=D

Step-by-step explanation:

WILL GIVE BRAINLIEST!!

Answers

Answer:

hi

Step-by-step explanation:

i think so,it is 19

have a nice day

Answer:

19 is the correct answer

hope it is helpful to you

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