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3 years ago

A washer and a dryer cost $858 combined. The washer costs $92 less than the dryer. What is the cost of the dryer?

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

Answer:

$475

Step-by-step explanation:

The dryer costs x.

Since the washer costs $92 less than the dryer, then the dryer costs x - 92.

Combined, they cost $858.

x + x - 92 = 858

2x - 92 = 858

2x = 950

x = 475

Answer: $475

Soloha48 [4]3 years ago

3 0

Answer:

383

Step-by-step explanation:

Let dryer be d.

(d + 92) + d = 858

2d + 92 = 858

-92 = -92

---------------------

2d = 766

---- ------

2 2

d = 383

The dryer is $383

Hope this helped.

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According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of $14 women who worked a

Lady bird [3.3K]

Answer:

Step-by-step explanation:

1) The point estimate, p for the proportion of college graduates among women who work at home is

p = x/n

Where

x = number of success = 158

n = number of samples = 514

p = 158/514 = 0.307

2) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

Probability of success, p = 42/100 = 0.42

Probability of failure = 1 - p = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.8 = 0.2

α/2 = 0.2/2 = 0.1

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.1 = 0.9

The z score corresponding to the area on the z table is 1.282. Thus, the z score for a confidence level of 80% is 1.282

Margin of error = 1.282 × √(0.42 × 0.58)/514

Margin of error = 0.028

Therefore, the 80% confidence interval is

0.307 ± 0.028

The lower limit of the confidence interval is

0.307 - 0.028 = 0.279

The upper limit of the confidence interval is

0.307 + 0.028 = 0.335

Therefore, an 80% confidence interval for the proportion of women who work at home is between 0.279 and 0.335

3 0

3 years ago

swat32

3rd answer always solve parenthesis first use PEMDAS

3 0

3 years ago

Finding the complement or supplement of an angle givien a figure

Vesna [10]

Supplement is 180 degrees complement is 90 degrees

5 0

3 years ago

PLEASE SHOW HOW YOU GOT THE ANSWER THANKS! GIVING BRAINLIEST!!!

Alexeev081 [22]

Answer:

a) 5 b) 1 c) 0 d) -4

Explanation:

a) 10[(1/2+1/4) + 2(1/8)] ÷ 2

Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.

First, start off by doing everything in the brackets.

Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.

The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.

Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.

Rewriting the equation, we now have 10(1)÷2

10•1 = 10

10 ÷ 2 = 5

The answer to question a is 5.

b) √(0.6)² + (0.8)²

First, we need to square both terms. Squaring is the same as multiplying the number by itself.

0.6 • 0.6 = 0.36

0.8 • 0.8 = 0.64

Add them together: 0.36 + 0.64 = 1

√1 = 1

The answer to question b is 1.

c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)

Let's start with the first bit: (1/5 - 3/5)

The denominators are the same, so just subtract and you get -2/5

The second bit now: $\sqrt{6 *\frac{3}{2} }$

Multiply across and you get 18/2, which can be simplified to 9

√9 = 3

The third section: ( $\sqrt{36}$ ÷ $\sqrt{5^{2} }$ )

The square root of 36 = 6 (because 6•6=36, so it's right)

The square root and the square cancel each other out, so the second part is 5.

6 ÷ 5 = 1.2

Now put it all together: -2/5 • 3 + 1.2

I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5

We now have -2/5 • 3 + 6/5

First we multiply -2/5 and 3 across:

-2/5 • 3 = -6/5

Now we add -6/5 and 6/5 across:

-6/5 + 6/5 = 0

d) [-1.5 + √0.25 - (-0.75)] • 2^4

Doing the brackets first:

The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)

-1.5 + 0.5 - -0.75

-1 + 0.75 (subtracting a negative make a positive)

-0.25

-0.25 • 2^4

2^4 = 16 (this is saying 2•2•2•2 which is 16)

-.25 • 16 = -4

7 0

2 years ago

Help with this problem pls

poizon [28]

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6 0

3 years ago