A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probability a given player averaged less than 190?m

Answers

Answer 1

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

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.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that [tex]\mu = 197, \sigma = 12[/tex]

What is the probability a given player averaged less than 190?

This is the p-value of Z when X = 190.

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

[tex]Z = \frac{190 - 197}{12}[/tex]

[tex]Z = -0.58[/tex]

[tex]Z = -0.58[/tex] has a p-value of 0.281.

0.281 = 28.1% probability a given player averaged less than 190.


Related Questions

Hello if you're able to answer this question help me and provide work as well, Thank you.

Answers

Answer:

answer is no. a -1/8 for sure

jabu invests R5600 for one year at 8% interest. calculate the value of hus investment by the end of the year

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Answer:

Hope you find it helpful

Solve the system.
2x + y = 3 −2y = 14 − 6x

Answers

Answer:

(x , y ) = (39/22 , -2/11 )

.............

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

Ravin is g years old and Eva is 2 years younger than Ravin.
What is the sum of their ages in terms of g?


What is the sum of their ages after g more years, in terms of g?

Answers

(gx2)-2

Hope this helps! :)

______________

Eva is 2 years younger than Ravin, so her age will be= g-2 years old

The sum of their ages will be = g + (g-2)
= 2g -2

After g more years,
Ravin will be = g + g = 2g years old
Eva is still 2 years younger, so she will be = 2g - 2 years old.

The new sum of their ages will be
= 2g + (2g - 2) = 4g - 2 years

Under the translation (X +3, y - 1) the point (3,4) will become (0.5)

True or False

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.

_____

Additional comment

The point (0, 5) would be translated to (3, 4). That is not what the question is asking.

The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.

Answers

Answer:

0.36

Step-by-step explanation:

Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .

The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .

72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .

Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36    

& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600

help urgent please

the graphs below have the same shape. what is the equation of the blue graph?

no links please​

Answers

Answer:

C.   G(x) = (x+3)^3

Step-by-step explanation:

Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.

Write an equation for the lowest-degree polynomial function, with the graph and intercepts shown in the figure. For this exercise, make the leading coefficient be 1 or -1

Answers

Answer:

f(x)  = (x+1)² - 9

Step-by-step explanation:

We can start by seeing if this is a quadratic function, as that is the lowest degree polynomial possible.

The vertex form for a quadratic function is a(x-h)² + k, with the vertex being (h, k).

In this example, the leading coefficient (a) must be 1 or -1. If a is positive, the graph opens upward, and vice versa. Since the graph opens upward, a must be 1.

Our vertex in this picture is (-1, -9). We can plug those values in, along with a=1, to get

1(x-(-1))² - 9 = (x+1)² - 9

Therefore, our equation is f(x)  = (x+1)² - 9

The polynomial is given by:

[tex]p(x) = x^2 + 2x - 8[/tex]

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

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

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

The polynomial has two x-intercepts, thus, the lowest-degree is 2.Concave up, thus, the leading coefficient is [tex]a = 1[/tex].The x-intercepts are [tex]x_1 = -4, x_2 = 2[/tex], and thus:

[tex]p(x) = (x - (-4))(x - 2) = (x + 4)(x - 2) = x^2 + 4x - 2x - 8 = x^2 + 2x - 8[/tex]

A similar problem is given at https://brainly.com/question/22817243

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.

Which expression is equivalent to (1/√y)^-1/5?

A: 5√y^2

B: 1/√y^5

C: 10√y

D: 1/10√y​

Answers

Answer:

[tex]=\sqrt[10]{y}[/tex]

So option c is the correct answer

Step-by-step explanation:

[tex]\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}[/tex]

Which of the following shows the numbers in the box below listed in increasing order?

(A) -2, 3/7, 1/2, 1.2
(B) -2, 1/2, 3/7, 1.2
(C) 3/7, 1/2, 1.2, -2
(D) 1/2, 3/7, 1.2, -2

Answers

9514 1404 393

Answer:

  (A) -2, 3/7, 1/2, 1.2

Step-by-step explanation:

The numbers are in increasing order when they are listed left-to-right as they appear on the number line.

The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.

The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.

The correct ordering is found in choice A.

what is the solution of the equation 3x=12 round your answer to the nearest ten thousandth

Answers

Answer:

2.2916

Step-by-step explanation:

Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying

A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground​

Answers

Dnbdbdbd sbsbdbdbdhdjdbdbdbdhdhd

URGENT!!!

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =
5 : 7 : 8

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

Answers

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation

Answers

Answer:

There are two major methods of forecasting

One is the Causal method and the 2nd one is the times series method

Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.

Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.  

Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation

PLEASE HELP ASAP PLSSSSS !!!!!!!

Answers

Answer:

27°

Step-by-step explanation:

angle A + angle B + angle C=180 degree (sum of interior angles of a triangle )

angle A +90 + 63 =180

angle A +153 = 180

angle A =180 - 153

angle A =27 degree

Answer:

<A=27°

Step-by-step explanation:

D=63°

B= 90°

Angles in a triangle adds up to 180°

Therefore A= 180- (63+90)

=180 - 153

=27

Which of these expressions is equal to 2(43 - p)?
A.
(2 - 43) × (2 - p)
B.
(2 - 43) - (2 - p)
C.
(2 × 43) - (2 × p)
D.
(2 × 43) × (2 × p)

Answers

Answer:

C. (2×43) - (2×p)

Step-by-step explanation:

The question is 2(43-p)

Which means 2 is multiplying the bracket.

So the answer to the question is 2×43 - 2×p

Which will give us 86 - 2p

So you then solve all the possible answers to see if it the same answer as the one we got

A car manufacturing company produces blue and black cars only. If 54% of 85658 total
production is blue cars, how many black cars are there?

Answers

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

Need help before 7:00

Answers

Answer:

Area of circle = 465.82 cm²

Step-by-step explanation:

Given the following data;

Circumference of the hub cap = 76.49 cm

Pie, π = 3.14

To find the area of the hub cap;

First of all, we would determine the radius of the hub cap.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Where:

C is the circumference of a circle.

r is the radius of a circle.

C = 2πr

76.49 = 2 * 3.14 * r

76.49 = 6.28r

Radius, r = 76.49/6.28

Radius, r = 12.18 cm

Next, we find the area of the hub cap;

Area of circle = πr²

Area of circle = 3.14 * 12.18²

Area of circle = 3.14 * 148.35

Area of circle = 465.82 cm²

However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.

A dictionary has 88,728 words. Out of that Mohan read 35,427 words. How many words are left for him to read?

Answers

Mohan has 53,301 words left

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of words in the dictionary = 88,728 words

No. of words that Mohan read = 35,427 words

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

No. of words left for Mohan to read.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\sf\purple{53,301 \:words. }[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read

= ( 88, 728 - 35, 427 ) words

= 53,301 words

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

x ^2+3x+2


I need help with this asap thank you!!!!!!!!!

Answers

Answer:

(x+1) (x+2)

Step-by-step explanation:

I this is it? If you meant x to the second power than I think this is the answer

example of expressions to represent length and width

Answers

Answer:

lxwxh

Step-by-step explanation:

Length x width x height

Find the perimeter of this problem

Answers

Answer:

below

Step-by-step explanation:

perimeter of a semicircle

½ * 2πr

=πr

= 3.142*27

=84.78cm

What is the remainder of 26 divided by 53.3
WILL GIVE BRAINLIEST

Answers

Answer:

0.48780487804

What is the answer?
Please help

Answers

Answer:

100*

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

x = 60+40

x = 100

I can’t figure it out!! Please help me!

Answers

Answer:

height = 8 cm

Step-by-step explanation:

formula to find area of a parallelogram =

base x height

so

10 x height = 80 cm square.

height = 80/10

=8 cm

Based on the areas of the squares, determine whether the triangle shown is a right triangle.

Answers

It is not a right triangle

Explanation:
Pythagorean Theorem ONLY for right triangles: a^2+b^2=c^2
If a^2=58 and b^2=10
Then 58+10 does not equal 64

The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.

What is the Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given her:  Three squares whose sides form one Pythagoreans of a triangle .

Now a²=58

b²=10

b=√10

c²=64

c=8

Clearly √10<√58<8

Thus c must be the hypotenuse of the triangle.

Using Pythagoras' theorem we get

√10²+√58²=68≠64

Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

What is the area of a regular hexagon (6 sides) whose
ℎ ℎ 6 ℎ ℎ ℎ ℎ 3√3 ? Show work
A) 54√3 2
B) 36√3 2
C) 108√3 2
D) 18√3 2

Answers

Step-by-step explanation:

With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.

The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:

tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem

As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:

Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2

=> Shexagon=6×62√3=216

PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!


Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.

1. Elean: w+148=180 , Diego: x+90=148.

We know that angle BKC=148 degrees.



I agree with : ( Elena / Diego /Both of them) .




Because:









Describe, in words, the process you would use to find the missing values:

Answers

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

someone please help! (listing BRAINLIST and giving points) ​:)​

Answers

I hope this is help full to you

1. The cardboard costs 0.002 cents per square mm but glue for each box is also 1 cent per box

2. The plastic costs 0.003 cents per square mm. No glue is necessary. It’s sealed by heat.

Which packaging costs less money?

Answers

#2 costs less money.
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