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vlabodo [156]
2 years ago
11

Emily is buying new cold weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amo

unt. 4 of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?
A) 100 x 4/5

B) 100 x 5/4

C) 100/5 x 1/4

D) 5/100 x 1-4


MARKING BRAINLIEST
Mathematics
1 answer:
inysia [295]2 years ago
4 0

Answer:

A) 100 x (4/5)

Step-by-step explanation:

Spent a total of 100 dollars, all being the same price

Each is 20 dollars.

For 4 pairs it would be 80.

100 x (4/5) = 80

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According to a survey of 500, the mean income before taxes of consumer units (i.e., households) inthe U.S. was $60,533 with a st
ioda

Answer:

The margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.

Step-by-step explanation:

We are given that according to a survey of 500, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a standard error of 717.51.

Margin of error tells us that how much our sample mean value deviates from the true population value.

<u></u>

<u>Margin of error is calculated using the following formula;</u>

        Margin of error =  Z_(_\frac{\alpha}{2}_) \times \text{Standard of Error}

where, \alpha = level of significance = 1 - confidence level

                                                    = 1 - 0.95 = 0.05 or 5%

Standard of Error =  \frac{\sigma}{\sqrt{n} } = 717.51

Now, the value of z at 2.5% level of significance (\frac{0.05}{2} =0.025) is given in the z table as 1.96, that means;

            Margin of error =  Z_(_\frac{\alpha}{2}_) \times \text{Standard of Error}

                                      =  1.96 \times 717.51 = 1406.32

Hence, the margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.

3 0
4 years ago
WORKSHEET-2
Margarita [4]

Answer:

1. \frac{C}{D} = 3.143

2. Circumference

3. Area of the circle is 3850 cm^{2}.

   ii. Circumference of the circle is 220 cm.

Step-by-step explanation:

The area, A, and the circumference, c, of a circle can be determined respectively by:

A = \pir^{2}

C = 2\pir

where r is the radius of the circle.

1. the ratio of the circumference and diameter, D, of a circle is:

r = \frac{D}{2}

so that,

C = 2\pi\frac{D}{2}

C = \piD

\frac{C}{D} = \pi

   = \frac{22}{7}

   = 3.143

2. The distance around a circular region is known as it's circumference.

3. Given a circle of radius 35 cm, then:

A = \pir^{2}

   = \frac{22}{7} x (35)^{2}

   = \frac{22}{7} x 1225

   = 22 x 175

A = 3850

Area of the circle is 3850 cm^{2}.

C = 2\pir

   = 2 x \frac{22}{7} x 35

   = 2 x 22 x 5

   = 220

C = 220 cm

Circumference of the circle is 220 cm.

8 0
3 years ago
If two cards are drawn from a regular shuffled deck, what is the probability that both cards will be diamonds?​
Nastasia [14]

Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw

Step-by-step explanation:

6 0
3 years ago
Please help me on this it would be very much appreciated
azamat
Answer: -24

-140/14+140/-10
-10/1+-14/1
-10+-14/1
=-24
3 0
3 years ago
Read 2 more answers
1. Write fraction as a mixed number.<br><br> 5/4
anygoal [31]

1 1/4

4 fits into five once, leaving 1/4 left making it a mixed number.

7 0
3 years ago
Read 2 more answers
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