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?
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
what is the mean of the data? 24,31,12,38,12,15
Answer:
Hello Love! Answer: 22
Step-by-step explanation:
The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!
do the step by step process thank u soooooo much
Answer:
Surface area: 199.27 cm
Volume: 129.8 cm³
Step-by-step explanation:
Thank you to anyone who answers .
Answer:
B: 33 3/4
Step-by-step explanation:
The building on Daughtery road are even numbered from 12-136. How many buildings have an address with at least one 4?
Answer:
Total 22 buildings have at least one 4 in their address
Step-by-step explanation:
Number between 12 to 136 are as given below -
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
Total numbers having at least 1 four are
14
24
34
40
41
42
43
44
45
46
47
48
49
54
64
74
84
94
104
114
124
134
Total 22 buildings have at least one 4 in their address
The diameter of a circle is 14 ft.
What is the area of the circle in terms of π?
Answer:
49π ft²
Step-by-step explanation:
[tex]A=\pi r^2[/tex] where r is the radius of the circle
To find the radius, divide the diameter by 2:
14 ft ÷ 2 = 7 ft
Plug the radius 7 ft into the equation
[tex]A=\pi (7)^2\\A=49\pi[/tex]
Therefore, the area of the circle in terms of pi is 49π ft².
I hope this helps!
Answer:
49π
Step-by-step explanation:
Diameter=14
Radius=14/2=7
Area=πr squared
Area=7 squared π
Area=49π
plsss help lollll :)))
Answer:
Step-by-step explanation:
V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure
ANSWER FOR BRAINLIEST:
Mark all of the following that are measures of Central Tendency.
Mean
Range
Mode
Median
Mean Absolute Deviation
Outlier
Step-by-step explanation:
I think mode,range and median dpo ako sure
I. Daska is situated at a distance of 15 miles from both Gujranwala and Sialkot. A bus travels from Gujranwala to Daska at an average speed of 25 miles per hour, from Daska to Sialkot at an average speed of 40 miles per hour and returns to Daska at an average speed of 30 miles per hour. Find the average speed for the entire trip.
Answer:
The average speed of the entire trip is 8.5 miles per hour.
Step-by-step explanation:
Speed = Total Distance / Total Time
So we have to find the total distance and the total time taken .
1) From Gujranwala to Daska
speed= 25miles/hour distance = 15miles
Time taken = distance / speed
= 15/25= 0.6 hours
2) From Daska to Sialkot
speed= 40miles/hour distance = 15miles
Time taken = distance / speed
= 40/15= 2.67 hours
3 ) From Sialkot to Daska
speed= 30miles/hour distance = 15miles
Time taken = distance / speed
= 30/15= 2 hours
The total distance traveled to three places is = 15+ 15+15= 45miles
The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours
Speed = Total Distance / Total Time
Speed= 45/ 5.3
= 8.49=8.5 miles per hour
The average speed of the entire trip is 8.5 miles per hour.
Girrls and boys plsss i need help like frl:)
D- Most babysit because it pays more per-hour.
The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.
Hope this helps!
Have a great day!
- Hailey
X - 2y = -3
2x + y = -1
Answer:
y = 1
x = -1
Step-by-step explanation:
x - 2y = -3, then x = 2y - 3
2x + y = -1
substitute for x:
2(2y - 3) + y = -1
4y - 6 + y = -1
5y = 5
y = 1
x = 2 - 3 = -1
Answer:
it can only be simp[lified
so it will be
(x+2x)+(y+2y)=-3-1
3x+3y=-4
cannot be solved further
Step-by-step explanation:
Jackson earns $17 per hour tutoring students in math. Which equation and solution shows how many hours he has to work to earn $476?
Answer:
476 ÷ 17 = 28
Step-by-step explanation:
$17 an hour is multiplication. so, just do the opposite.
476 ÷ 17.
~R3V0
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
Which expression is equivalent to 7x + 4x2 – 5x?
Answer:
2x+8
Step-by-step explanation:
Answer:
[tex]4x^{2} +2x[/tex]
Step-by-step explanation:
I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.
So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.
Find the surface area of the rectangular prism.
5 in.
7 in
4 in.
Answer:
A=166
that's all can calculate
You deposit $100 in your bank account. The account earns 2% simple interest in 5 years. How much interest did you earn?
Write an equivalent expression using Distributive property.
28 + 42
( How did you solve)
Answer:
the answer is 7(4 +6)
Step-by-step explanation:
24 + 42
7(4 + 6)
Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
11n - 11 + 35 = 3n
24 = -8n
n = -3
what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction
Answer: The answer is A
Step-by-step explanation:
A/4x+B/x+7
The correct form of the partial fraction decomposition for the given expression is Option A
What is Partial Fraction Decomposition ?Partial Fraction Decomposition is the method of simplifying rational expressions.
The expression given is
[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]
Applying Partial Decomposition
[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]
It can be written as
[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]
Therefore Option A is the answer.
To know more about Partial Factor Decomposition
https://brainly.com/question/2516522
#SPJ2
Whoever gives an answer first gets Brainliest
Answer:
answer to what?
Step-by-step explanation:
Answer:
Thanks mate n.n
Have a good one !
Which expression is equivalent to 34(4h - 6)?
) 3h -92
) 4h +92
) 3h - 6
) 4h + 6
Answer:
Step-by-step explanation:
136h-24 which is not listed in your choices
Help me with this, will give brainlist to best explained asnwer
Answer:
I'd say the mode, 21, is the best response. It appears the most frequently and it's also the median.
Explanation:
Mean: 115 / 5 = 23
Median: 19, 21, 21, 26, 28
Mode: 19, 21, 21, 26, 28
Claim shape a is a rectangle please help
Answer:
ummkmmmm
Step-by-step explanation:
Answer:
No, the shape is not a rectangle.
Step-by-step explanation:
A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.
Good luck ^^
the greatest common factor of 9w2 and 10w4.
Answer:
9 and 2: 1
10 and 4: 2
Step-by-step explanation:
9: 1, 3, 9
2: 1, 2
Answer: 1
10: 1, 2, 5, 10
4: 1, 2, 4
Answer: 2
Isla wants to solve the equation 2.5x – 1.75 = 5(7 – 0.5x).
She uses a graphing program to graph the equations y = 2.5x – 1.75 and y = 5(7 – 0.5x).
Use the graph to find the solution of 2.5x – 1.75 = 5(7 – 0.5x).
Answer:
7.35
Step-by-step explanation:
If you solve the equation
2.5– 1.75 = 5(7 – 0.5)
Then...
x=7.35
Answer:
7.35
Step-by-step explanation:
Lauren is booking a band and a DJ for a dance, and wants to keep the cost of the
entertainment under $1,300. A band can play for part of the time at an hourly rate of $120,
and a DJ can play for the remaining time at an hourly rate of $92.
Select the inequality in standard form that describes this situation. Use the given
numbers
and the following variables.
x = the number of hours the band will play
y = the number of hours the DJ will play
Answers- A 120+x+92+y>1,300
B: 120x+92y>1,300
C: 120x+92y<1,300
D: 120+x+92+y<1,300
Answer:
C: 120x+92y<1,300
Step-by-step explanation:
Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.
Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y
The total cost of the band is DJ playing is thus 120x + 92y.
Since we require this to be under $1,300, we us the less than sign '<' to show the relation.
So, 120x + 92y < 1300
So, the answer is C
A spinner with two equal sectors is spun 5 times.
What is the number of possible outcomes?
Answer: 32
Explanation: 2^5
Answer:
There are 32 outcomes that are possible
Step-by-step explanation:
A sphere has a volume of 1,436 in3. What is its radius?
Answer:
do the reverse of pie r squared
Step-by-step explanation:
HELP I WILL GIVE BRAINIEST
Answer:
For the first one the answer is:
<K = 31°
Sorry I don't know the second one.
The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
7 cm
7 cm
7 cm
7 cm
26 cm
Step-by-step explanation:
54 because you add 7+7+7+7+26=54