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Scilla [17]
3 years ago
13

The building on Daughtery road are even numbered from 12-136. How many buildings have an address with at least one 4?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0

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

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Answer:

Step-by-step explanation:7.12 meters tall

4 0
3 years ago
Determine the nth term for each of the following sequences: 2,5,8,11,14,..
Tanya [424]
To determine the nth term, we must create a function.

f(n) = 1st term + common difference (n - 1)

n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.

based on the above sequence, the 1st term is 2, its common difference is 3.

f(n) = 2 + 3(n-1)

Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
       = 2 + 3(4)
       = 2 + 12
f(5) = 14   as you can see in the above sequence 14 is the 5th term.

For any other value of the nth term, simply substitute n by the number of the term and solve the equation.
8 0
3 years ago
The leopard population in an African wildlife area is currently 17. Due to a new conservation effort, conservationists hope the
kykrilka [37]

Answer:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

Step-by-step explanation:

This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:

a{_n} = a{_1} + (n - 1)d where a_n is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.

Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.

Since they increase by 4 yearly, then the common difference is 4.

Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

8 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is
yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

H_{0}: \mu = 434

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

H_{a}: \mu < 434

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that \mu = 434

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that X = 431, n = 9, \sigma = \sqrt{144} = 12

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}

z = -0.75

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0
3 years ago
Find the value
Vaselesa [24]

Answer:

cosC = BC/AC

\cos(c)  =  \frac{15}{39}

4 0
3 years ago
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