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3 years ago

Write 10+0.06+0.008 in word form

Mathematics

2 answers:

babymother [125]3 years ago

8 0

Answer:

Ten plus six hundredth plus 8 thousandth equals ten and sixty-eight thousandths

Step-by-step explanation:

0.06 is in the hundredth place

0.008 is in the thousandth place

n200080 [17]3 years ago

6 0

Answer:

ten plus zero point zero six plus zero point zero zero eight

Step-by-step explanation:

The ten is 10 then plus + and then 0.06 plus + 0.008

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Alice's goal is to have $30 in her account. She starts with $24.60 from washing cars. She spends $8.25 at the movies. Then she e

bazaltina [42]

24.60 - 8.25 + 11.50 = 30

16.35 + 11.50 = 30

27.85 <span>≠ </span>30

Alicia does not have $30, she needs to earn 2.15 more dollars

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3 years ago

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Complete the statement 6 pt = ______ qt <br> A 1.5 <br> B 2 <br> C 3 <br> D 12<br> Tysm!

slamgirl [31]

There are 2 pints in 1 quart

You have, for example, 6 pt of liquid

Since there are 2 pints in 1 quart, divide 6 and 2 together to get the qt amount you have

6/2 = 3

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3 years ago

Read 2 more answers

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.

jeka94

Answer:

The point estimate is 5,617.

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Compound 1:

127 brakes, average brake life of 42,814 miles, population standard deviation of 1819 miles. This means that:

$\mu_1 = 42814$

$s_1 = \frac{1819}{\sqrt{127}} = 161.41$

Compound 2:

163 brakes, average brake life of 37,197 miles, population standard deviation of 1401 miles. This means that:

$\mu_2 = 37197$

$s_2 = \frac{1401}{\sqrt{163}} = 109.73$

Distribution of the difference:

$\mu = \mu_1 - \mu_2 = 42814 - 37197 = 5617$

The point estimate is 5,617.

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{161.41^2 + 109.73^2} = 195.18$

Confidence interval

The confidence interval is:

$\mu \pm zs$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = zs$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

Margin of error:

$M = zs = 195.18*2.327 = 454.18386
$

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

For the confidence interval, as we round to the nearest whole number, we round it 454. So

The lower bound of the interval is:

$\mu - zs = \mu - M = 5617 - 454 = 5163$

The upper bound of the interval is:

$\mu + zs = \mu + M = 5617 + 454 = 6071$

The 98% confidence interval for the difference between the two population means is (5163, 6071).

3 0

3 years ago

P and Q are sunsets of the universal set U={n:1<n<10} and n is an integer. P consists of even numbers less than 7 and Q co

Sauron [17]

Part A

<h3>Answer: P' u Q' = {3,4,5,6,7,8,9}</h3>

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

Work Shown:

The universal set here is U = {2,3,4,5,6,7,8,9} so we're listing all the integers between 2 and 9. We don't include 1 or 10 since n is larger than 1, and smaller than 10.

P = even numbers less than 7, subset of U

P = {2,4,6,8}

P ' = {3,5,7,9}

Note how the set P' is the set of everything in U that is not in set P. It's the opposite of set P. We call this the complement of set P.

Q = prime numbers less than 10, subset of U

Q = {2,3,5,7}

Q ' = {4,6,8,9}

Applying the union set operation on the sets P' and Q' leads to

P' u Q' = {3,5,7,9, 4,6,8,9}

All I did was combine the two sets of numbers under one umbrella. From here we toss out the duplicate entry of 9. This next step is optional, but sorting the values is standard convention.

Doing all this leads to

P' u Q' = {3,4,5,6,7,8,9}

This set represents all the values that are in set P' or in set Q' or both.

=======================================================

Part B

<h3>Answer: P' n Q' = {9}</h3>

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

Work Shown:

Now we're looking at the intersection of sets P' and Q'

List out those sets

P ' = {3,5,7,9}

Q ' = {4,6,8,9}

We see that only the value 9 is in common

Therefore,

P' n Q' = {9}

=======================================================

Part C

Answer:

(P' n Q')' = {2,3,4,5,6,7,8}

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

Work Shown:

You start with the result from part B. Then you erase that item (9) from the universal set. Everything in this answer set is not found in the set {9}

Put another way: we're finding the complement or opposite of P' n Q'

=======================================================

Part D

<h3>Answer: (P u Q)' = {9}</h3>

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

Work Shown:

P = {2,4,6,8}

Q = {2,3,5,7}

P u Q = {2,3,4,5,6,7,8}

Everything in set P u Q is either found in P, Q, or both. Any duplicates are tossed out.

Take the opposite of this to get

(P u Q)' = {9}

It is not a coincidence we get the same result as part B. It turns out that the two equations are true for any two sets P and Q

(P u Q)' = P' n Q'
(P n Q)' = P' u Q'

For more information, check out De Morgan's Laws. Use of a Venn Diagram may help visualize what is going on, so you can organize the values.

5 0

3 years ago

Abu is trying to decide which pet–sitting service he wants to use . Your Pets charges a $15 fee, plus $1 .75 per hour . Sit Pets

Studentka2010 [4]

Answer:I did not see the entire question but is assuming the question is asking how many hours for both services to cost the same.

Your Pets Cost =15+1.75x

Sit Pets Cost =11+2.25x

set both equations equal to each other

15+1.75x=11+2.25x

15-11 = (2.25-1.75)x

4=0.5x

x=8

Step-by-step explanation:

3 0

3 years ago