HELP FOR 20 points !!!!!

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

Answer:

For the first one the answer is:

<K = 31°

Sorry I don't know the second one.

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]

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

Step-by-step explanation:

I think mode,range and median dpo ako sure

Step-by-step explanation:

54 because you add 7+7+7+7+26=54

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.

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

Answer:

Step-by-step explanation:

136h-24 which is not listed in your choices

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

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

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

11n - 11 + 35 = 3n

24 = -8n

n = -3

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.

Answer:

the answer is 7(4 +6)

Step-by-step explanation:

24 + 42

7(4 + 6)

Answer:

A=166

that's all can calculate

Answer:

Surface area: 199.27 cm

Volume: 129.8 cm³

Step-by-step explanation:

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!

Answer:

14.5

Step-by-step explanation:

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

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:

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:

Answer:

476 ÷ 17 = 28

Step-by-step explanation:

$17 an hour is multiplication. so, just do the opposite.

476 ÷ 17.

~R3V0

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

Answer:

answer to what?

Step-by-step explanation:

Answer:

Thanks mate n.n

Have a good one !

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: 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

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

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 ^^

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

Answer:

B: 33 3/4

Step-by-step explanation: