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Finger [1]
2 years ago
8

7} - \frac{3}{8} " alt=" \frac{b}{7} - \frac{3}{8} " align="absmiddle" class="latex-formula">
Simplify your answer as much as possible​
Mathematics
1 answer:
gulaghasi [49]2 years ago
4 0
7x3=21
21/8= 2.62

b=2.62
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2/5 of 40 in fractional parts
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Dividing 40 into fifths...
40 ÷ 5 = 8

Since 1/5 of 40 is 8, 2/5 of 40 is <u>16</u>.
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a particular submarine is 12 m long. A model of it was built with a scale of 1 cm: 3 m. How long is the model? Show all work.
slamgirl [31]
1cm : 3m

to get from 12m to 3m you have to divide by 4, so if:

3 x 4 = 12

then you do the same to the 1cm and you get:

1 x 4 = 4

Therefore:

1cm : 3m
4cm : 12cm

the model is 4cm

the answer is the above in bold
hope it helped :)
and sry if my explanation wasn't detailed enough or if i misunderstood the question
5 0
3 years ago
11) The function: f(x)= x^2 – 2x + 3 belongs to<br> which family of functions?
Dmitrij [34]

Answer:

i believe a quadratic function

Step-by-step explanation:

quadratics are when an equation is x^2 so yeah (sorry if thats not what it's asking)

7 0
3 years ago
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule
Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113​.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139​.

Step-by-step explanation:

Given information:Scores of an IQ test have a​ bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between \overline{x}-\sigma and \overline{x}+\sigma.

95% data lies between \overline{x}-2\sigma and \overline{x}+2\sigma.

99.7% data lies between \overline{x}-3\sigma and \overline{x}+3\sigma.

(a)

\overline{x}-\sigma=100-13=87

\overline{x}+\sigma=100+13=113

[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113​.

(b)

\overline{x}-2\sigma=100-2(13)=74

\overline{x}+2\sigma=100+2(13)=126

[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126​.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126​.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

\overline{x}-3\sigma=100-3(13)=61

\overline{x}+3\sigma=100+3(13)=139

[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139​.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139​.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139​ is

P=\frac{1}{2}(0.3\%)=0.15\%

Therefore 0.15% of people has an IQ score greater than 139​.

5 0
3 years ago
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