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4 years ago

Howmany blue pens should he order ?

Mathematics

1 answer:

photoshop1234 [79]4 years ago

4 0

Answer:

Step-by-step explanation:

Given :

Total number of people : 36

Ratio of people who prefer red to blue

Red : Blue = 3 : 9 = 1 : 3

according to the ratio, for every 4 people, 1 prefers red and 3 prefers blue.

Expressed mathematically:

People who prefer blue = 3/4 of the total number of people

In our case, total number is 36 hence,

People who prefer blue (and hence the number of blue pens he should order),

= 3/4 x 36 = 27

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A simple random sample of size nequals17 is drawn from a population that is normally distributed. The sample mean is found to be

IRINA_888 [86]

Answer:

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

Step-by-step explanation:

Step(i):-

Given random sample of size 'n' =17

Given mean of the sample 'x⁻' = 56

Given standard deviation of sample 's' = 10

95% confidence intervals about the population mean is determined by

$(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )$

Degrees of freedom

ν = n-1 = 17-1 =16

t₀.₀₅ = 1.7459 (from t-table)

Step(ii):-

95% confidence intervals about the population mean is determined by

$(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )$

$(56 - 1.7459 \frac{10}{\sqrt{17} } ,56 + 1.7459 \frac{10}{\sqrt{17} } )$

( 56 - 4.2344 , 56 + 4.2344)

(51.7656 , 60.2344)

Conclusion:-

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

4 0

3 years ago

Write a polynomial of lowest degree with zeros 1/3 (multiplicity 2) and -1/4 (multiplicity 1) and with f(0)=-3

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

y = C(x - 1/3)(x - 1/3)(x + 1/4)

y = C(x² - 2/3x + 1/9)(x + 1/4)

y = C(x³ - 2/3x² + 1/4x² + 1/9x - 1/6x + 1/36)

y = C(x³ - 5/12x² - 1/18x + 1/36)

now to account for the y intercept (x = 0)

-3 = C((0)³ - 5/12(0)² - 1/18(0) + 1/36)

-3 = C(1/36)

C = -108

distribute the C term across all variables.

y = -108x³ + 45x² + 6x - 3

we can verify our solution using a plotting calculator.

4 0

3 years ago

How do I factor x^2+7×+6

AlexFokin [52]

$x^2+7x+6\\\\7x=6x+1x\\\\6=6\cdot1\\\\x^2+7x+6=(x+6)(x+1)$

8 0

4 years ago

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A student concludes that the solution to the equation ( 2×+1+3=0 is×=4

Slav-nsk [51]

Answer:

x = -2

Step-by-step explanation:

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3 years ago

Which value of x from the set {4, 5, 6, 7}, makes this equation true?

Phoenix [80]

4(8 - x) = 8

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- 32

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3 years ago

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