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3 years ago

A package being delivered in the mail weighs 1056 ounces. How much does that package weigh in pounds?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

Step-by-step explanation:

16 oz equal a pound so 1056 divided by 16

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A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and

gayaneshka [121]

Answer:

$(832.156, \ 847.844)$

Step-by-step explanation:

Given data :

Sample standard deviation, s = 15

Sample mean, $\overline x = 840$

n = 23

a). 98% confidence interval

$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$

$$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}$

$t_{(n-1 , \alpha/2)} \frac{s}{\sqrt n}$

$t_{(n-1, a\pha/2)}=t_{(22,0.01)} = 2.508$

∴ $E = 2.508 \times \frac{15}{\sqrt{23}}$

$E = 7.844$

So, 98% CI is

$(\overline x - E, \overline x + E)$

$(840-7.844 , \ 840+7.844)$

$(832.156, \ 847.844)$

4 0

3 years ago

Help stuck on methods question

andreev551 [17]

Answer:

x=3

Explanation:

Let's write an equation for the area of this figure.

This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.

Area of rectangle= length× breadth

Area of vertical rectangle= 6x

Length of horizontal rectangle= (7 -x) cm

Area of horizontal rectangle= x(7-x)

Since total area= 30 cm^2,

6x+ x(7-x)= 30

6x +7x -x^2= 30 (expand)

-x^2 +13x-30= 0 (bring all terms to one side)

x^2 -13x +30= 0 (divide by -1)

(x -10)(x -3)= 0 (factorise)

x -10= 0 or x -3= 0

x= 10 or x= 3

(reject)

We reject x=10 since from the diagram, x cm is less than 6cm.

4 0

3 years ago

N+ 12 = -24<br><br> Help please

omeli [17]

Answer:

n = -36

Step-by-step explanation:

The answer is -36 because:

1) We first have to subtract -24 and 12 to find n

-24 - 12 = -36

This is because whenever there are two negative signs, multiply it.

Negative x Negative = Positive

We have to do, 24 + 12 which is 36. Finally, we just put the greater number's sign to the answer. 24 is greater than 12, therefore, we put a negative sign before 36.

Hope this helps!

7 0

3 years ago

Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaT

marissa [1.9K]

Given:

Susan divides the fraction $\dfrac{5}{8}$ by $\dfrac{1}{16}$ .

Her friend Robyn divides $\dfrac{5}{8}$ by $\dfrac{1}{32}$ .

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction $\dfrac{5}{8}$ by $\dfrac{1}{16}$ .

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10$

So, Susan's quotient is 10.

Her friend Robyn divides $\dfrac{5}{8}$ by $\dfrac{1}{32}$ .

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20$

So, Robyn's quotient is 20.

Since 20>10, therefore, Robyn will get greater quotient.

3 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLIEST

soldi70 [24.7K]

Answer: i believe its a x=2

4 0

3 years ago

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