Answer:
(a) D. All the above
(b) [tex]p = 10[/tex] --- Mean
(c) [tex]s = 3[/tex] --- Standard Deviation
(d) A. No, 15 is not a significantly high number of golf balls, because the probability of 15 is greater than 0.05
Step-by-step explanation:
Solving (a):
Option (d) answers the question because (a), (b) and (c) are all true
For (a): x must be a random variable
For (b): [tex]\sum p(x) = 1[/tex]
For (c): [tex]0 \le p(x) \le 1[/tex]
Solving (b): The mean
Mean (p) is calculated as:
[tex]p = \sum xp(x)[/tex]
So, we have:
[tex]p = 3 * 0.14 + 6 * 0.03 + 9 * 0.36 + 12 * 0.37 + 15 * 0.10[/tex]
[tex]p = 9.78[/tex]
[tex]p = 10[/tex]
Solving (c): The standard deviation
This is calculated as:
[tex]s = \sqrt{\sum[ x*p(x) *(1-p(x))]}[/tex]
So, we have:
[tex]s = \sqrt{3 * 0.14 *(1 - 0.14) + 6 * 0.03 * (1 - 0.03) +..............+ 15 * 0.10 * (1 - 0.10)}[/tex][tex]s = \sqrt{6.7566}[/tex]
[tex]s = 2.599[/tex]
[tex]s = 3[/tex]
Solving (d): Is P(x = 15) significantly high?
From the question:
[tex]P(x = 15) = 0.10[/tex]
In probability:
[tex]0 \le x \le 0.15[/tex] is considered to be low (i.e. not high) because it is almost not sure to occur
Hence, (a) is true
Five friends went to the zoo.
• Tickets cost $8.50 each.
• Each person purchased a drink for $3.50
• Three of the people had a discount coupon for $2.50 off the cost of admission,
• The friends split the total cost equally.
How much did each person spend?
А A
$10.13
B. $10.50
c С
$11.50
D
$12.00
Answer:
B . 10.50
Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50
The high temperatures for a week are shown.
15°, 34°, 17°, 15°, 16°, 8°
Which measure of center, mean or median, would BEST represent the data?
A.
The mean, 17.5, is best because it is the average of all the values in the data set.
B.
The median, 15.5, is best because it represents the middle most value of the data in the set.
C.
The median, 15.5, is best because the center of this data set is affected by outliers.
D.
The mean, 17.5, is best because the center of this data set is affected by outliers.
Answer:
A
Step-by-step explanation:
I know
Iodine-131 has a half-life of 8 days. How much would be left of an original 40 g sample after 40 days?
a) 32g
b) 8g
c) 131g
d) 1.25g
e) 0.8g
Answer:
d) 1.25 g
Step-by-step explanation:
If it has a half life of 40 days, there will be 5 half-lives in that span of time so if you divide 40 by 2, 5 times or just [tex]\frac{40}{2^{5} }[/tex], it will equal 1.25.
[tex]\frac{40}{2}=20\\[/tex]
[tex]\frac{20}{2} =10[/tex]
[tex]\frac{10}{2} =5[/tex]
[tex]\frac{5}{2} =2.5\\[/tex]
[tex]\frac{2.5}{2} =1.25[/tex]
Answer: 1.25g
Step-by-step explanation:
Got it rght on an assignment
Translate the sentence into an inequality. The product of C and 9 is at most -28
Answer:
[tex]9c \leqslant - 28[/tex]
Step-by-step explanation:
Since 9 and c are multiplied together and the product is at most -28, the equation would have to be the one above.
Can someone please help me
Answer:
135ft^3
Step-by-step explanation:
Volume for triangular prism = 1/2bhl
v=1/2*6*5*9= 135
Brendon wants to run 13.8 Miles this week. so far he ran 6.7 miles. how may more m8les does brendon need to run
Answer:
7.1 miles
Step-by-step explanation:
13.8-6.7=7.1
Answer:
7.1 miles
Step-by-step explanation:
subtract 6.7 from 13.8 (13.8 - 6.7)
How many distinct variables does the expression below
contain?
2x^5+xy^4-zx
Simplify the following expression
6y + 8 - 2y + 5y - 9
Answer: 9y-1
:))))))))))))))))))))
For Babysitting Niki charges a flat fee of $10 plus 15 per hour if we want to know how many hours she work if she gets paid by $80 which equation is helpful
15x-10=85
10+15x=85
85-10x=15
85x-10=15
HELP ASAP!!!!! 20PTS!!
Answer:
the answer is 80!!!!!!!!!!
Step-by-step explanation:
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table
Answer:
the day.
step-by-step: you dont need the day
Answer:
G
Step-by-step explanation:
4x + 7 − 23
In this expression, the coefficient is 4.
True or False
Answer:
True
Step-by-step explanation:
Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
Calculate the price per 20 items.
Write down which shop is the best value in the comment box.
Tisco= 4 for £1.04
Azda= 5 for £1.35
Answer:
Tisco shop
Step-by-step explanation:
The computation is shown below;
For tisco,
= 20 ÷ 4 × £1.04
= £5.2
For Azda,
= 20 ÷ 5 × £1.35
= £5.4
As if we can see that the tisco cost is lower than the azda cost so here the best value represent the tisco shop
If 70% of a number is 126 and 95% of the same number is 171, find 25% of that number.
Answer:
45
Step-by-step explanation:
70%=126
100%=?
100×126=12600÷70
=180
100=180
25=?
25×180÷100
=45
Will the product of 22.65 x 0.999 be greater than or less than 22.65? Without calculating, explain how you know.
It will be less since as common knowledge, it's a decimal so it'll be a little bit less
The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Mean 45 42 Sample Variance 85 90 Sample Size 10 12 The 95% confidence interval for the difference between the two population means is (use rounded standard error) a. -2.65 to 8.65. b. -5.344 to 11.344. c. -5 to 3. d. -4.86 to 10.86.
Answer:
95% Confidence Interval is; ( -5.344 to 11.344 )
Option b) -5.344 to 11.344 is the correct answer
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 45 x"₂ = 42
S₁² = 85 S₂² = 90
n₁ = 10 n₂ = 12
df = [ S₁²/n₁ + S₂²/n₂ ]² / [ ((S₁²/n₁)²/n₁-1) + ((S₂²/n₂)²/n₂-1)) ]
we substitute
df = [ 10/10 + 90/12 ]² / [ ((85/10)²/10-1) + ((90/12)²/12-1)) ] = 19.64 ≈ 20
df = 20
with 95% confidence interval
∝ = 1 - 0.95 = 0.05
∝/2 = 0.05/2 = 0.025
now, [tex]t_{\alpha /2,df} = t_{0.025, 20} = 2.086[/tex] { from table }
95% confidence interval for N1 - N2
⇒ (x"₁ - x"₂) ± [tex]t_{\alpha /2,df}[/tex] × √( S₁²/n₁ + S₂²/n₂ )
⇒ (45 - 42) ± 2.086 × √( 85/10 + 90/12 )
⇒ 3 ± 2.086 × 4
⇒ 3 ± 8.344
so;
Lower Limit = 3 - 8.344 = -5.344
Upper Limit = 3 + 8.344 = 11.344
Therefore, 95% Confidence Interval is; ( -5.344 to 11.344 )
Option b) -5.344 to 11.344 is the correct answer
0.8 as a fraction??
You can give your answer
Answer: 4/5
Step-by-step explanation:
0.8 = 8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
HELPPPPPPPPPP
The height of a pop fly ball over the time after the ball is hit is modeled by the function, h(t) = -16t2 + 81t + 5, where h is the ball's height in feet above the ground and t is the time in seconds after the ball is hit.
How far above the ground was the ball when it was initially hit?
It takes 7 gardeners 8 hours to plant 1 680 seedlings on a piece of land.
Calculate (in hours and minutes) how long it would take 12 gardeners to
plant the seedlings
Answer:
4 hours, 40 minutes
Step-by-step explanation:
1680 ÷ 8 hours = 210 seeds per hour for 7 gardeners
30 seeds per hour per gardener
30 x 12 = 360 seeds per hour for 12 gardeners
4.66 hours to plant. which is 4 hours and 40 minutes
calculate the slope line that passes through points (0,3) (2,9)
Aaaah i in one grafe an I nee help wit dis wha is 1+1
Answer:
2
Step-by-step explanation:
...
KIS+KSI=ISK
WHAT IS THE NUMBERS?!?!??!?
The golf club can send a team of six students to the next golf tournament if there are 23 students in the club how many different teams of six can be selected.
I need help!!!
Answer:
3 teams.
Step-by-step explanation:
1 team = 6 students
23 ÷ 6 = 3.8333
Since it ends up being a decimal, the nearest number would be 3 because 23 teams isn't enough for 4 teams.
A square picture frame with each side length represented by 3x -
5 has a perimeter of 52 inches. What is the value of x?
A. x = 3
u
B. x = 5
C. x = 6
D. x = 13
Answer:
C. X=6
Step-by-step explanation:
Length of one side =52/4= 13
3X-5= 13
3x = 13+5
X= 18/3
X= 6
find 2 fractions with a sum that is between 0 and 1/2
Answer:
1/8, 2/8
1/8+2/8= 3/8
0/8<3/8<4/8
Step-by-step explanation:
Find the slope and the y-intercept of the graph of the linear equation y=-7x+3
Answer:
The slope is -7 . The y intercept is (0 , 3)
Answer:
x= -1/7y+3/7
Step-by-step explanation:
step 1: −7x+3=y
Step 2: Add -3 to both sides.
−7x+3+−3=y+−3
−7x=y−3
Step 3: Divide both sides by -7.
ollities
Assignment
Active
Calculating a Z-Score from a Percentile
The prices of paperbacks sold at a used bookstore are Complete the sentences.
approximately Normally distributed, with a mean of $7.85 To find the Z-score for the 56th percentile means that
and a standard deviation of $1.25.
the area above the z-score will be
and the
Use the z-table to answer the question.
area below the Z-score will be
The Z-score for the 56th percentile is
V
Answer:
Complete the sentences.
To find the z-score for the 56th percentile means that
the area above the z-score will be ✔ 0.44 and the
area below the z-score will be ✔ 0.56.
The z-score for the 56th percentile is ✔ 0.15
*you typed the question weird, but I hope this helps*
Answer:
To find the z-score for the 56th percentile means that the area above the z-score will be
✔ 0.44
and the area below the z-score will be
✔ 0.56
.
The z-score for the 56th percentile is
✔ 0.15
.
Step-by-step explanation:
edge 2023
What is the area of the object above?
A.
129 sq cm
B.
78 sq cm
C.
105 sq cm
D.
111 sq cm
Answer choices
216 cm
247 cm
297 cm
337 cm
Answer:
297
Step-by-step explanation:
A person invested 3,900 in an account growing at a rate allowing the money to double every 7 years. How much money would be in the account after 18 years to the nearest dollar
Answer:
23182 or 23181.5109105
Step-by-step explanation: