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1 year ago

Divide:7/4 ÷ 8/732/4949/3217/3281/32

Mathematics

1 answer:

SIZIF [17.4K]1 year ago

5 0

7/4 ÷ 8/7

To divide fraction multiply the first fraction by the reciprocal of the second fraction:

7/4 x 7/8 = (7x7) / (4x8) = 49/32

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A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those date

Anni [7]

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

3 0

3 years ago

Which of the following values are zeros for the function below g(x)=(x2+4x-12)(x-3)

Brilliant_brown [7]

Answer:

Step-by-step explanation:

$g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3$

4 0

3 years ago

2. Describe the speaker's tone in "Ode to a Nightingale." Cite specific words and phrases

sweet-ann [11.9K]

Answer:

2x4 8.2

Step-by-step explanation:

6 0

2 years ago

Find the center and radius of the circle represented by the equation below.

hjlf

Hey there!

Centre = (-h,-k)=(3,10)

And radius , r^2 = 121 => r=11

Hope this helps you :)

Have a good day :)

5 0

2 years ago

Use the coordinates of the labeled point to find a point-slope equation of the line<br>

disa [49]

Answer:

B. y + 2 = -2(x - 4)

Step-by-step explanation:

First, find the slope (m) of the line using two points in the line, (3, 0) and (4, -2):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 0}{4 - 3} = \frac{-2}{1} = -2$

Slope (m) = -2.

Next, substitute (a, b) = (4, -2) and m = -2 into y - b = m(x - a)

Thus:

y - (-2) = -2(x - 4)

y + 2 = -2(x - 4)

8 0

3 years ago