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2 years ago

how many numbers did bill wrote if he wrote all the natural numbers between w and v not including w and v

Mathematics

1 answer:

dexar [7]2 years ago

4 0

Answer:

v - w - 1

Step-by-step explanation:

Try an experiment with a small, specific set of numbers like:

4, 5, 6, 7, 8, 9, 10 w = 4 and v = 10.

There are 5 numbers in the list, not counting the first and last. Is this related to the difference between v and w? v - w = 6, one more than 5.

The number of natural numbers between w and v, not including w and v, is v - w - 1.

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Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60 % of his collection.How many toy cars do

Kryger [21]

60% of what equals 27? This is the question. "Of" always means multiply.

So... convert the percent to a decimal: .6x=27.

Divide: x=27/.6
x=45

Plug it back in to check: .6(45)=27
27=27.

Or: 27/45=.6
.6=.6

8 0

3 years ago

Read 2 more answers

(a)It takes 51

never [62]

a) Given :

51 pounds of seed can be planted in = 9 acre field.

Per pound of seed = $\frac{9 \ acre}{51 \ pounds \ of \ seed}$

We can convert 9/51 in simplest fraction by dividing top and bottom by 3.

We get

$\frac{9/3}{51/3}=\frac{3}{17}$

<h3>Therefore, 3/17 of an acrs can be planted per pound of seed.</h3>

b) $10 amount = 16 pounds of sugar.

$1 amount = 16/10 = 1.6 pounds of sugar.

<h3>Therefore, 1.6 pounds of sugar she got per dollar.</h3>

4 0

3 years ago

The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the

FinnZ [79.3K]

Answer:

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b) Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

c) Calculate the value of the test statistic = 0.991

d) The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Null hypothesis accepted at 0.01 level of significance

f) we accepted null hypothesis.

Hence the proportion of defective item of computer has been lowered.

Step-by-step explanation:

Step(i):-

Given the sample size 'n' = 42

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

The defective computers 'x' = 4

The sample proportion of defective computers

$p = \frac{x}{n} = \frac{4}{42} = 0.095$

Given The Population proportion 'P' = 0.15

The level of significance ∝=0.01

Step(ii):-

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.095-0.15}{\sqrt{\frac{0.15(0.85)}{42} } }$

$z = \frac{-0.055}{\sqrt{0.00303} } = - 0.9991$

Calculate the value of the test statistic Z = - 0.9991

|Z| = |- 0.9991| = 0.991

Step(iii):-

The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Calculate the value of the test statistic Z = 0.991 < 2.57 at 0.01 level of significance.

Conclusion:-

Hence the null hypothesis is accepted at 0.01 level of significance.

The proportion of defective item of computer has been lowered.

6 0

3 years ago

The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets contain 190 calories, and 114 calorie

PIT_PIT [208]

The percent of total calories from fat is 60%

Step-by-step work:

190 calories is the total amount of calories in the chicken nuggets and 114 calories are from fat so you could write that as:

114/190

now remember that a “/“ also means divide, so divide the fraction:

114/190 = 0.6

0.6 is the decimal form of 114/190

then since percentages are out of 100, you multiply it by 100:

0.6 • 100 = 60

and 60% is your final answer!

4 0

2 years ago

Read 2 more answers

A science teacher gives a test with 15 questions. This teacher is a hard grader. The teacher assigns points in the following man

ASHA 777 [7]

Answer: The standard deviation was calculated incorrectly.

Step-by-step explanation:

The standard deviation measures the dispersion of the data values from the mean value.

It cannot be negative , because it is the square root of the variance .

We add all squared deviations from the data points away from the mean and (then divide it by the number of data values) to evaluate variance.

Since , any squared number cannot give a negative result.

⇒ Standard deviation cannot be negative.

⇒The standard deviation was calculated incorrectly.

Rest other things (given in options) can not be interpreted on the basis of given information.

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2 years ago