Answer:
56.96% probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
For a single player:
[tex]\mu = 355, \sigma = 80[/tex]
For the sample mean(of 48 playes).
[tex]n = 48, s = \frac{80}{\sqrt{48}} = 11.547[/tex]
What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits?
This is the pvalue of Z when X = 360 subtracted by the pvalue of Z when X = 340. So
X = 360
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{360 - 355}{11.547}[/tex]
[tex]Z = 0.43[/tex]
[tex]Z = 0.43[/tex] has a pvalue of 0.6664
X = 340
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{340 - 355}{11.547}[/tex]
[tex]Z = -1.30[/tex]
[tex]Z = -1.30[/tex] has a pvalue of 0.0968
0.6664 - 0.0968 = 0.5696
56.96% probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for $5.30 which place is better
Answer:
The village market is better than Sam's Club
Step-by-step explanation:
If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
Help! It’s due it’s due in 30 minutes
Answer:
Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.
88
Step-by-step explanation:
You only need the area of one side of this shape to find the total area.
((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.
1.2.
Prove the following the trigonometric identity step-by-step
1.2.1 sin theta/sin theta+cos theta=tan theta/1+tan theta
Answer:
The identity is proved below.
Step-by-step explanation:
The tangent of an angle [tex]\theta[/tex] is given by:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this question, we are given the following trigonometric identity:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\tan{\theta}}{1+\tan{\theta}}[/tex]
Applying the tangent
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{1+\frac{\sin{\theta}}{\cos{\theta}}}[/tex]
Now, we apply the least common multiple on the denominator. So
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{\frac{\cos{\theta}+\sin{\theta}}{\cos{\theta}}}[/tex]
SImplifying the cosine:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}}[/tex]
Which means that the identity is proved.
What is the surface area of the rectangular prism?
PLSSS HELP GUYS I NEED HELP ASAP
Answer:
348 ignore this eoendndisiwjd
In 2009, two tickets to a certain American band's concert and two tickets to a certain British band's concert cost, on average, a total of $592. At those prices, four tickets to see this
American band and two tickets to see this British pand cost $842. What was the average cost of these American and British band tickets in 2009?
American band $
British band$
There are 946 milliliters in a quart. There are 2 pints in a quart
How many milliliters are in a pint?
Answer:
There are 473 millimeters in 1 pint.
Step-by-step explanation:
946 ml in 1 quart.
2 pints in 1 quart
hence,
946 ml in 2 pints
hence in 1 pint we have 946/2 ml
i.e. 473 ml in 1 pint.
:)
Answer:
473 milliliters
Step-by-step explanation:
If there are 946 mL in a quart and there are 2 pints in a quart, divide 946 by 2 to find how many mL are in one pint.
Here's an equation you can set up to solve the problem.
— 946 = 2x
— 946 / 2 = 2x / 2
— 473 = x
So, if we let x stand for the amount of mL in a pint, then 473 = x means there are 473 mL in a pint.
Please help me answer this will give brainlst
Answer:
17° and 73°
Step-by-step explanation:
For two complementary angles, the sum of angles is equal to 90 degrees.
Let other angles = x
First angle = 5+4x ...(1)
ATQ,
5+4x+x=90 ...(2)
Equation (1) and (2) shows the equations for the given problems.
5+5x=90
5x = 85
x = 17°
Other angle = 17
First angle = 5+4x
= 5+4(17)
= 73°
So, the other two angles are 17° and 73° respectively.
question 2, thanks for the help :)
Answer:
the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Step-by-step explanation:
Given the points on the graph
(4, 4)(9, 1)Here:
(x₁, y₁) = (4, 4)
(x₂, y₂) = (9, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 4] / [9 - 4]
= -3 / 5
Thus, the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Each diagram is made of smaller, identical pieces. Tell how many pieces you would shade to model 25%
Answer:
12 pieces
Step-by-step explanation:
AE = 3x - 2 and EC = 2x + 3 then DB =
#5
Answer:
DB = 26
Step-by-step explanation:
Remember:
AE ≅ ECAC ≅ DB☆The equation in finding the value of x would be 3x - 2 = 2x + 3.
☆Let's solve the equation.
[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]
☆Now that we found the value of x, we are going to plug in for AE and EC.
[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]
☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]
The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.
What is the value of x
Answer:
54
Step-by-step explanation:
c)
How many quarters make a whole?
d) How many fifths make a whole?
e) How many tenths make a whole?
nta Excel in Mathematics - Book 3
108
Answer:
4 quarters
10 tenths
Step-by-step explanation:
Tenths[tex] \frac{1}{10} [/tex]
Quarter[tex] \frac{1}{4} [/tex]
Whole[tex] 1 [/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex] 1 = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4} [/tex]
∴ There are 4 quarters to make a whole
[tex] 1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10} [/tex]
∴ There are 10 tenths to make a whole
Find the length of dm in the given fig.
Answer:
[tex]DM=12[/tex]
Step-by-step explanation:
(Let the point where the altitude from [tex]D[/tex] intersects [tex]AB[/tex] be called as point [tex]E[/tex].) First, let's find the area of parallelogram [tex]ABCD[/tex]. The area of a parallelogram is simply [tex]b*h=bh[/tex], where [tex]b[/tex] is the parallelogram's base and [tex]h[/tex] is the parallelogram's height. If we let [tex]AB[/tex] and [tex]DE[/tex] be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram [tex]ABCD[/tex] will be [tex]AB*DE=15*8=120[/tex].
Now, how does this information matter, you might ask? Well, we can take either [tex]AB[/tex] or [tex]CB[/tex] to be the base and either [tex]DE[/tex] or [tex]DM[/tex] to be the height. In this case, let's take the latter two options, as we are looking to find the length of [tex]DM[/tex].
Therefore, we know that the area of parallelogram [tex]ABCD[/tex] can also be found by calculating [tex]CB*DM[/tex]. Since we know the values of the area and [tex]CB[/tex], we can write the following equation to solve for [tex]DM[/tex]:
[tex]Area = CB*DM[/tex]
[tex]120=10*DM[/tex] (Substitute [tex]Area=120[/tex] and [tex]CB=10[/tex] into the equation)
[tex]\frac{120}{10}=\frac{10*DM}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]DM[/tex]'s coefficient)
[tex]12=DM[/tex] (Simplify)
[tex]DM=12[/tex] (Symmetric Property of Equality)
Hope this helps!
I NEED HELLPPPPPPPP
Answer:
51 people
Step-by-step explanation:
Answer:
51
Step-by-step explanation:
190 out of 300 is from England
100 out of 100×190/300 is from England
=63% (approximately)
according to the question
63%×80
63/100 × 80
51(approximately)
find x in the proportion x:6= 25:5
Step-by-step explanation:
[tex] \frac{x}{6} = \frac{25}{5} \\ [/tex]
[tex] \frac{x}{6} = \frac{5}{1} \\ [/tex]
[tex]x = 30[/tex]
15% of the skittles in andys bag are green. how many skittles are in the bag if 9 of them are green
Answer:
60
Step-by-step explanation:
9/15=0.6
0.6x100=60
sally is taking a test
when she got her score it was 85% of 100% how many questions was on the test and how many did she get wrong
Answer:
There was 20 questions on the test.
She got 3 wrong.
Step-by-step explanation:
[tex]\frac{85}{100} = \frac{17}{20}[/tex]
20 - 17 = 3
There was 20 questions on the test.
She got 3 wrong.
Is 1/2 plus 5/12 greater than 1 or less than 1
Answer:
Less than 1
1/2=6/12
6/12+5/12=11/12
11/12<1
#CarryOnLearning
Make it brainliest ty
Sally earns $9.56 per hour. What is her overtime pay at time-and-a-half?
CHECK YOUR UNDERSTANDING
The Wacky Widget Company sells widgets for
$4.00 each wholesale. A local store has a
markup of $1.20.
A. What is the retail price?
B. What percent is the markup price?
Answer:
Retail price = $5.20
Percentage of mark up price = 30%
Step-by-step explanation:
Company sells $4.00 each wholesale.
Now the local store which is the retailer has a markup of $1.20.
This means that the retail price is;
Retail price = wholesale price + mark up = $4.00 + $1.20
Retail price = $5.20
To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.
Thus;
Percentage of Markup is;
1.2/4 × 100% = 30%
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No. Table showing the number of cake slices sold each day. Monday, eighty slices. Tuesday, one hundred twenty slices. Wednesday, one hundred slices. Thursday, one hundred forty slices. A On Monday, the restaurant made 8 cakes and will have 3 left over because −116(80)=−5. Yes No B On Tuesday, the restaurant only needed 7 cakes because −116(120)=−712. Yes No C On Wednesday, the restaurant made 7 cakes and will have 34 of a cake left over because −116(100)=−6.25. Yes No D On Thursday, the restaurant made 8 cakes and will have 34 of a cake left because −116(110)=−8.75. Yes No brainiest
Answer:
yes
no
yes
no
hope this helps
Answer:
1. Yes
2. No
3.Yes
4.No
Step-by-step explanation:
I did the test and got it right!
Add 2/7 + 3/7?
[tex]2 \7 + 3 \7[/tex]
Can someone help me out pls?
Answer:
58 degrees
Step-by-step explanation:
Jennifer uses a coupon that gives you 20% off your order. If the total was $18 before the discount, then how much money did she save?
Solve
12 (8 – 4) =
Q 42
o 144
102
48
what is th eqivalent expression for 4x 2/3
Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much money did Doug pay for each
picture?
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
A data set has a mean of 80. The value 83 lies one standard deviation above the mean. What is the margin of error?
Answer:
3
Step-by-step explanation:
Answer:
it will be 6
Step-by-step explanation:
The standard deviation is 83 – 80 = 3. Since margin of error is two times the standard deviation, it must equal 6.