For each 11 mm of coloured fabric Nick uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Answer:

= 80y - 56 then it will be the answer, it may be incorrect so i apologize if it is.

Answer:

80y - 56

Step-by-step explanation:

Answer:

5X + 8Y >= 300;    intersection at  (-20, 50)

Step-by-step explanation:

let t = work hours

0 < t < 30

X = time lawn mowing

Y = time babysitting.

X + Y < 30

5X + 8Y >= 300

We could solve...

X < 30 - Y

5(30 - Y) + 8Y  >=300

150 - 5Y + 8Y >= 300

3Y >=150

Y >=50

then  X < -20  

intersection at  (-20, 50)

Answer:

Step-by-step explanation:

5x+8y > 300

_

Answer:

0.3

Step-by-step explanation:

Given: The odds of winning a contest are 3:7

To find: probability of winning the contest

Solution:

Probability refers to chances of occurrence of an event.

Odds are defined as (chances for success) : (chances against success)

Probability of winning = (chances for success) : (chances for success + chances against success)  

As odds of winning a contest are 3:7,

(chances for success) : (chances against success) = 3:7

So,

Probability of winning the contest = [tex]\frac{3}{3+7} =\frac{3}{10}=0.3[/tex]

Final answer:

To find the probability of winning a contest when given odds, add the two parts of the odds together and divide the favorable outcome by the total outcomes. For odds of 3:7, the probability of winning the contest is 3/10.

Explanation:

The odds of winning a contest are 3:7. What is the probability of winning the contest?

To find the probability from odds, you need to add the two numbers together to get the total possible outcomes. In this case, 3 + 7 = 10. Then, divide the favorable outcome by the total outcomes, so 3/10. This gives a probability of winning the contest as 3/10.

Answer:

Volume = 20

Step-by-step explanation:

To find volume of the shape you split the shape into two shapes: A triangle or pyramid and a rectangle

The volujme of a rectangle is W x L x H

A = 2 x 5 x 8

A = 80

The volume of a pyramid is

A = [tex]\frac{1}{2}[/tex]Bh    The B is the area of the base so B = L x W = 5 x 2 = 10 so B = 10

A = [tex]\frac{1}{2}[/tex] 10 x 4

A = [tex]\frac{1}{2}[/tex] 40

A = 20

Answer:

420

Step-by-step explanation:

She uses 60 beads per bracelet and is making 7 bracelets

7*60 = 420 beads total

Answer:

  D.  c+14 ≤ 24

Step-by-step explanation:

The solutions for these inequalities are ...

  A.  c < 10 -- does not include the value 10

  B.  c ≥ 6 -- does not include the value 5

  C.  c > 6 -- does not include the values 5 or 6

  D.  c ≤ 10 -- includes all of the values listed

The set given is part of the solution set of ...

  c +14 ≤ 24

Answer:

I will answer a few questions so you can apply the same logic to the others

The volume of a sphere = [tex]\frac{4}{3}[/tex] π [tex]r^{3}[/tex]

1.

We can see that the radius of the sphere is 5cm

Substitute the value into the equation for volume and solve for V

V = [tex]\frac{4}{3}[/tex] * π * [tex]5^{3}[/tex]

V = 523.6 [tex]cm^{3}[/tex]

4.

The diameter is given to us as 6km. To find the radius we take half of this, 3km

Substitute the value into the equation for volume and solve for V

V = [tex]\frac{4}{3}[/tex] * π * [tex]3^{3}[/tex]

V = 113.1 [tex]km^{3}[/tex]

Hopefully that helps you with completing the rest!

Answer:

1). 1.25 / 250 = .005M

.005 = 1 liter

2). (20)(.5) = 10M

have a good day, and be safe

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⊕ΘΞΠΤ⊕

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Answer:

(D)117 Cubic Inches

Step-by-step explanation:

Dimensions of the box are:

Length[tex]=7\frac{1}{2}\:inch[/tex]

Width[tex]=4\frac{1}{3}\:inch[/tex]

Height[tex]=3\frac{3}{5}\:inch[/tex]

Volume of the Box =Length X Width X Height

[tex]=7\dfrac{1}{2}X4\dfrac{1}{3}X3\dfrac{3}{5}\\\\=\dfrac{15}{2}X\dfrac{13}{3}X\dfrac{18}{5}\\\\=\dfrac{15X13X18}{2X3X5}\\\\=\dfrac{3510}{30}[/tex]

=117 Cubic Inches

The volume of the box is 117 cubic inches.

Answer:

D) 117 cubic inches

Step-by-step explanation:

Have a wonderful day!

hi

Here is the answer :

0.25 *140 = 35

Answer: 35

Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.

What means x, is means equals, 25% is 25/100,

of means times, and 250 means 250.

So we have the equation x = 25/100 · 40.

Simplifying on the right side of the equation,

notice that 25/100 reduces to 1/4.

So we have x = 1/4 · 40.

Think of the 40 as 40/1.

So we can cross-cancel 140 and 4 to 35 and 1

and we have x = (1)(35) over (1)(1) or x = 35.

Now let's check our answer back in the

original problem to see if it makes sense.

We have (35) is 25% of 140.

Well we know that 100% of 140 would be 140.

So 25% of 250 should be a lot less than 140.

So 35 seems to make sense as a pretty good answer.

I have shown my work in the image attached.

Answer:

27

Step-by-step explanation:

PEMDAS

Answer:

D

Step-by-step explanation:

Because 9cm2 is 9 times 9 which equals 81 cm.

To find the length of one side of a cube with a surface area of 9 cm², set up the equation s² * 6 = 9. Simplify and solve for s to find that the length of one side is √(9/6) cm.

The question is asking about the surface area of a cube. The surface area of a cube can be found by multiplying the length of one side by itself, and then multiplying that result by 6 since a cube has 6 faces. So, if the surface area of a cube is 9 cm², you can set up the equation: 9 = s² * 6. Simplifying, you get s² = 9/6. Taking the square root of both sides, you find that s = √(9/6). Therefore, the length of one side of the cube is √(9/6) cm.

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Answer:

89.44%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 45, \sigma = 5.6[/tex]

If you score 52 on the test, what percentage of test takers scored lower than you?

This is the pvalue of Z when X = 52.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{52 - 45}{5.6}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.8944.

So 89.44% of test takers scored lower than you.

Answer:

The answer would be 56.55ft please give brainliest :)

Answer:

55.65

Step-by-step explanation:

Answer:

[tex]z=\frac{0.537-0.531}{\sqrt{0.534(1-0.534)(\frac{1}{147}+\frac{1}{147})}}=0.103[/tex]    

Now we can calculate the p value with the following probability taking in count the alternative hypothesis:

[tex]p_v =2*P(Z>0.103) =0.918 [/tex]    

For this case since the p value is large enough we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that we have significant differences between the two proportions analyzed.

Step-by-step explanation:

Information provided

[tex]X_{1}=79[/tex] represent the number of New Yorkers familiar with the brand  

[tex]X_{2}=78[/tex] represent the number of Californians familiar with the brand  

[tex]n_{1}=147[/tex] sample of New Yorkers

[tex]n_{2}=147[/tex] sample of Californians

[tex]p_{1}=\frac{79}{147}=0.537[/tex] represent the proportion New Yorkers familiar with the brand  

[tex]p_{2}=\frac{78}{147}=0.531[/tex] represent the proportion of Californians familiar with the brand  

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

System of hypothesis

We want to verify if the two proportions of interest for this case are equal, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} = p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1} \neq p_{2}[/tex]    

The statistic would be given by:    

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{79+78}{147+147}=0.534[/tex]  

Repalcing the info given we got:

[tex]z=\frac{0.537-0.531}{\sqrt{0.534(1-0.534)(\frac{1}{147}+\frac{1}{147})}}=0.103[/tex]    

Now we can calculate the p value with the following probability taking in count the alternative hypothesis:

[tex]p_v =2*P(Z>0.103) =0.918 [/tex]    

For this case since the p value is large enough we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that we have significant differences between the two proportions analyzed.

Answer:

[tex]90\pi[/tex]

Step-by-step explanation:

The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that [tex]\sqrt{12^2+5^2}=13[/tex] cm. Plugging this into the equation, you get [tex]\pi \cdot 5 \cdot 13=90\pi[/tex]. Hope this helps!

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (60 + 120 + 110 + 80 + 70 + 90 + 100 + 130)/8 = 95

Standard deviation = √(summation(x - mean)/n

n = 8

Summation(x - mean) = (60 - 95)^2 + (120 - 95)^2 + (110 - 95)^2 + (80 - 95)^2 + (70 - 95)^2 + (90 - 95)^2 + (100 - 95)^2 + (130 - 95)^2 = 4200

Standard deviation = √(4200/8) = 22.91

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ ≤ 120

For the alternative hypothesis,

µ > 120

This is a right tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 8,

Degrees of freedom, df = n - 1 = 8 - 1 = 7

t = (x - µ)/(s/√n)

Where

x = sample mean = 95

µ = population mean = 120

s = samples standard deviation = 22.91

t = (95 - 120)/(22.91/√8) = - 3.09

We would determine the p value using the t test calculator. It becomes

p = 0.009

Since alpha, 0.05 > than the p value, 0.009, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average seven-year-old would be able to swim across an Olympic-sized pool in more than 120 seconds after taking lessons from their instructors.

Using the one - sample t test, we can conclude that average 7year old will swim in less than 120 hours

Given the data :

Using calculator :

The degree of freedom :

The hypothesis :

[tex]H_{0} : μ > 120 [/tex]

[tex]H_{1} : μ ≤ 120 [/tex]

From the equality sign in the alternative hypothesis, we have a left-tailed test

Test statistic :

[tex] \frac{x - μ}{\frac{s}{\sqrt{n}}} [/tex]

Inputting the values :

[tex] \frac{95 - 120}{\frac{24.49}{\sqrt{8}}} [/tex]

[tex] \frac{-25}{8.658} = - 2.887 [/tex]

Calculating the P-value :

Pvalue = 0.012

Decison Region :

Since 0.012 < 0.05 ; we reject [tex]H_{0} [/tex] and conclude that average 7year old will swim in less than 120 hours.

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Answer:

D. 1000 miles

Step-by-step explanation:

400 x 2.5 = 1000

Answer:

[tex]y = (x+4)^{2}+6[/tex]

Step-by-step explanation:

The parabola with vertex at point (h,k) is described by the following model:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

The equation which satisfies the conditions described above:

[tex]y - 6 = (x+4)^{2}[/tex]

[tex]y = (x+4)^{2}+6[/tex]

The two points are evaluated herein:

x = -6

[tex]y =(-6+4)^{2}+6[/tex]

[tex]y = (-2)^{2}+6[/tex]

[tex]y = 4 + 6[/tex]

[tex]y = 10[/tex]

x = -2

[tex]y = (-2+4)^{2}+6[/tex]

[tex]y = 2^{2} + 6[/tex]

[tex]y = 4 + 6[/tex]

[tex]y = 10[/tex]

The equation of the translated function is [tex]y = (x+4)^{2}+6[/tex].

Final answer:

No, the given probability experiment does not represent a binomial experiment because it does not meet the three conditions required for a binomial experiment.

Explanation:

No, the given probability experiment does not represent a binomial experiment. In order for an experiment to be considered a binomial experiment, it must meet three conditions:

1. There must be a fixed number of trials, denoted by 'n'. However, in the given experiment, the number of stocks that the investor purchases is not fixed.

2. There must be only two possible outcomes, called success and failure, for each trial. However, in the given experiment, the outcomes can have three possibilities: the stock can increase, decrease, or have no change in value.

3. The 'n' trials must be independent and repeated using identical conditions. However, in the given experiment, the success or failure of one stock can potentially influence the success or failure of another stock.

Answer:

  b) perpendicular to the plane containing both vectors

Step-by-step explanation:

The cross product is perpendicular to both contributing vectors. Consequently, it is perpendicular to the plane containing them.

The cross product of two vectors results in a vector that is perpendicular to the plane containing both input vectors. This is a key principle in vector physics.

The resultant vector from the cross product of two vectors is perpendicular to the plane containing both vectors involved in the cross product. This is a fundamental principle in vector physics. To further illustrate, if you have two vectors A and B, and you perform a cross product, the resulting vector, often denoted as AxB, will be a vector perpendicular (or orthogonal) to the plane containing vectors A and B. Therefore, the correct option is 'b'.

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Answer:

The probability that a player wins the jackpot is [tex]\frac{1}{292201338}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the first five numbers are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

First five numbers:

Desired:

5 correct numbers, from a set of 5. So

[tex]D = C_{5,5} = \frac{5!}{5!(5-5)!} = 1[/tex]

Total:

5 numbers from a set of 69. So

[tex]T = C_{69,5} = \frac{69!}{5!(69-5)!} = 11238513[/tex]

Probability:

[tex]P_{5} = \frac{D}{T} = \frac{1}{11238513}[/tex]

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

Sixth number:

1 from a set of 26

Then

[tex]P_{6} = \frac{1}{26}[/tex]

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

Probability of winning the prize

[tex]P = P_{5} \times P_{6} = \frac{1}{11238513} \times \frac{1}{26} = \frac{1}{292201338}[/tex]

The probability that a player wins the jackpot is [tex]\frac{1}{292201338}[/tex]

To calculate the probability of winning the jackpot in the Powerball lottery, we need to consider the probability of choosing the first five numbers correctly and the probability of choosing the sixth number correctly. Multiply the probabilities from these two steps to find the overall probability.

To calculate the probability of winning the jackpot in the Powerball lottery, we need to consider two parts: the probability of choosing the first five numbers correctly (regardless of order) and the probability of choosing the sixth number correctly.

To find the overall probability, we multiply the probabilities from the two steps:

P(winning jackpot) = P(choosing first five numbers correctly) x P(choosing sixth number correctly) = [P(choosing one number correctly)]^5 x P(choosing one number correctly) = (5/69)^5 x 1/26

Calculating this expression gives us the probability of winning the jackpot in the Powerball lottery.

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The solution to the inequality [tex]\( \frac{2}{3}x - \frac{5}{6} \geq \frac{1}{2} \)[/tex] is [tex]\( x \geq 2 \)[/tex].

Given inequality: [tex]\( \frac{2}{3}x - \frac{5}{6} \geq \frac{1}{2} \)[/tex]

Step 1: To simplify the equation, let's find a common denominator for the fractions. The least common multiple (LCM) of 3 and 6 is 6.

Step 2: Rewrite the fractions with the common denominator, which is 6.

So, [tex]\( \frac{2}{3}x - \frac{5}{6} \)[/tex] becomes [tex]\( \frac{4x}{6} - \frac{5}{6} \).[/tex]

Step 3: Now, we have the equation [tex]\( \frac{4x}{6} - \frac{5}{6} \geq \frac{1}{2} \).[/tex]

Step 4: Combine the fractions on the left side of the equation: [tex]\( \frac{4x - 5}{6} \geq \frac{1}{2} \)[/tex].

Step 5: To get rid of the denominator, multiply both sides of the equation by 6 to clear it.

[tex]\( 6 \times \frac{4x - 5}{6} \geq 6 \times \frac{1}{2} \)[/tex]

This simplifies to: [tex]\( 4x - 5 \geq 3 \)[/tex]

Step 6: Now, let's isolate [tex]\(x\)[/tex] by adding 5 to both sides:

[tex]\( 4x - 5 + 5 \geq 3 + 5 \)[/tex]

[tex]\( 4x \geq 8 \)[/tex]

Step 7: Finally, divide both sides by 4:

[tex]\( \frac{4x}{4} \geq \frac{8}{4} \)[/tex]

[tex]\( x \geq 2 \)[/tex]

Complete correct question:

Solve: [tex]\frac{2}{3} x-\frac{5}{6} \geq \frac{1}{2}[/tex]

1

2

0

x

+

120x+392

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) A test of H0​: p = 0.6 vs. HA​: p < 0.6 fails to reject the null hypothesis. Later it is discovered that p = 0.7.

Answer: No error has been made since there is not enough statistical evidence to reject the null.

b) A test of H0​: μ = 30 vs. HA​: μ > 30 rejects the null hypothesis. Later it is discovered that μ = 29.9. ​

A type I error has been made. Rejecting the null hypothesis when it is actually true.

c) A test of H0​: p = 0.4 vs. HA​: p /= 0.4 rejects the null hypothesis. Later it is discovered that p = 0.55.

A type I error has been made since the p value was greater than 0.4, one will fail to reject the null but in the case the null was rejected.

d) A test of H0​: p = 0.7 vs. HA​: p < 0.7 fails to reject the null hypothesis. Later it is discovered that p = 0.6.

A type II error has been made since the p value is less than 0.7 and it was expected that the null should be rejected but that ws not the case.

In situation a and d, a Type II error was made as the null hypothesis was not rejected but it should have been. In situation b, a Type I error was made as the null hypothesis was rejected but it shouldn't have been. In situation c, neither error was made as the null hypothesis was correctly rejected.

In each of the following situations, different types of errors are made. A type I error is made when the null hypothesis is true, but it is rejected. A type II error is the opposite, when the null hypothesis is false, but it isn't rejected.

   d) Type II error: The null hypothesis was not rejected, although the actual population proportion (0.6) was less than the hypothesized proportion (0.7).    

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Phytagoras Theorem :

c² = a² + b²

c² = 9² + 2²

c² = 81 + 4

c² = 85

c = √85

So, the distance between the following points is √85

Hope it helpful and useful :)

Answer:

6.40

Step-by-step explanation:

Find the number in the tenth place (the first 4) and look one place to the right for the rounding digit (the second 4).

Round up if this number is greater than or equal to 5

and round down if it is less than 5.

4 is less than five, therefore should be rounded down.

Answer:

6.44

Step-by-step explanation:

The nearest cent is the hundredths place (or two decimals)

6.4442 rounds to 6.44

The next number is less than 5 so we leave the hundredths place alone.

Answer:

  see below

Step-by-step explanation:

The tangent function has been shifted upward by 2 units, but there has been no horizontal scaling. Any horizontal offset must be equal to some number of whole periods.

Choices A and B show tan( )+2, the correct vertical offset. However, choice A has a horizontal scale factor of 2. The correct choice is B, which has no horizontal scaling (the coefficient of x is 1) and a horizontal offset of π, one full period.

_____

Comment on horizontal scaling

Horizontal scaling is different from vertical scaling in that using k·x in place of x compresses the graph horizontally by a factor of k. On the other hand, using k·f(x) in place of f(x) expands the graph vertically by a factor of k.

Answer:

  n(A) = 2701

Step-by-step explanation:

If we subtract 299 from the numbers in the set, we get the counting numbers ...

  {1, 2, 3, ..., 2701}

The number of elements in the set is 2701:

  n(A) = 2701

n(A) is a notation used to denote the number of elements in a set. For the set A = {300, 301, 302, ..., 3000}, n(A) is calculated as 2701.

To find n(A) for the set A = {300, 301, 302, ..., 3000}, let's first understand that n(A) means. n(A) is a notation used in set theory to denote the number of elements in a set. In this case, it’s asking for the total number of integers from 300 to 3000.

You can calculate it by using the formula n = the last number - the first number + 1. Substituting the given values, we get n = 3000 - 300 + 1 = 2701. Therefore, n(A) for the set is 2701.

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Answer:

184

Step-by-step explanation:

Find the common difference first   d = 6 - 4 = 2

first term  a_1  = 4

a_n = (n -1)*d + a_1

a_91 = (91 - 1) * 2 + 4

a_91  is the 91st term:

a_91 = 90*2 + 4

a_91 = 180 + 4 = 184

The 91st term of the arithmetic sequence 4,6,8 is 184.

The question requires us to find the 91st term of the arithmetic sequence 4,6,8. In an arithmetic sequence, each term is equal to the previous term plus a constant difference. In this case, the common difference is 2 (6-4 or 8-6).

To find the 91st term of an arithmetic sequence, we use the formula a + (n-1)d, where a is the first term, n is the term number, and d is the common difference. Plugging in the values, we get: 4 + (91-1) * 2 = 4 + 180 = 184. So, the 91st term in the sequence is 184.

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