F is inversely proportional to d^2.When F=9, d=5
Work out F
when d=3

Answer:

50

Step-by-step explanation:

4/8 is 50 percent so /100 is 50 percent and 50/100 is 50 percent

The red sweaters at the store are made of pure wool = 50

What is Relation ship between store and sweater?

It is assumed that you reside in a region with harsh winters. We'll have to let our Vancouver pals use a little of their imagination.

The supply and demand for premium, warm winter sweaters is seen in the graph below.

When I first saw it in December, the sweater we desire costs 300. It's warm, lovely, and black, but costs more than  like to spend. I am hoping for a price reduction before it gets too cold in January because the weather has been mild.

When January finally arrives, the weather is unusually pleasant. When I go back to the store, the sweater is now 25% discounted. That's 225, hmm. It's still pricey, and the weather isn't all that chilly. I wait in the hopes of getting a better deal.

Concept:

Of the 800 sweaters in a certain store, 150 are red. We can also infer from the stem that 650 are not red

a) 320 of the sweaters at the store are neither red nor made of pool wool. We can infer that 330 are wool but not red

b) 100 of the red sweaters at the store are not made of pure wool.

From this, we can infer that 50 are both red and wool

see the attachment for the solution of the table a & b

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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The percentage of nurses holding a BSN (Bachelor of Science in Nursing) degree would be an example of descriptive statistics. Descriptive statistics involve summarizing and describing data in a meaningful way, such as through percentages, averages, or frequencies.

In this case, the percentage of nurses with a BSN degree provides information about the proportion of nurses who have completed a four-year bachelor's degree program in nursing.

This statistic can be used to understand the educational background of the nursing workforce and to assess the level of academic preparation among nurses.

By examining the percentage of nurses with a BSN degree, policymakers, healthcare organizations, and researchers can gain insights into the educational composition of the nursing workforce. This information can be valuable for making decisions related to workforce planning, policy development, and resource allocation in healthcare settings.

It is important to note that the percentage of nurses holding a BSN degree may vary across different regions or countries due to variations in educational requirements and healthcare systems. Some countries may have a higher proportion of nurses with a BSN degree compared to others.

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Yes, it does make a difference in which order the discounts are applied. Let's consider the two scenarios: applying the 50% off sale first and then using the $10 coupon, and vice versa.The order in which the discounts are applied can indeed make a difference in the final price.

Applying the 50% off sale first: In this case, the original price of the shirt is reduced by 50% to $30. Then, the $10 coupon is applied, further reducing the price to $20.

Applying the $10 coupon first: In this case, the original price of the shirt is reduced by $10 to $50. Then, the 50% off sale is applied, reducing the price by 50% to $25.

As we can see, the final price differs depending on the order of discounts. Applying the 50% off sale first followed by the $10 coupon results in a final price of $20, while applying the $10 coupon first followed by the 50% off sale results in a final price of $25.

Therefore, the order in which the discounts are applied can indeed make a difference in the final price.

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This is a problem using the Pythagorean theorem.

The square of the length required is 122 + 122 + 302 = 1188

The length is the square root of this number; I will leave it to you to extract the square root.

Answer:

34.47

Step-by-step explanation:

Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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Answer:

$5.85

Step-by-step explanation:

To find the percentage of things you can use the percentage formula

p%*x=y

45%*12.99=y

.45*12.99=y

y=5.8455

I rounded up but the question may call for something different. Hope this Helps!

Answer:

where is the pic we can't help

Linear expressions are expressions in which the highest power of the variable is 1.

Linear expressions 3x - 2 and 2x - 3 have a difference of 3x - 2

The given parameter is:

\(\mathbf{difference = x + 1}\)

Let one of the linear expressions be 2x - 3, and the other expression be y.

So, the difference would become

\(\mathbf{y -(2x -3) = x + 1}\)

Open bracket

\(\mathbf{y -2x +3 = x + 1}\)

Collect like terms

\(\mathbf{y = 2x + x + 1 - 3}\)

Evaluate like terms

\(\mathbf{y = 3x - 2}\)

Hence, 3x - 2 and 2x - 3 have a difference of 3x - 2

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Answer:

60x + 35; x = 4.5 hours

(x is not actually equal to 4.5, it is equal to 4.67)

Step-by-step explanation:

The description says that the plumber charges a one time fee of 35 dollars to come to someones house, and then 60 dollars an hour. The total pay is 305 dollars. x will be the number of hours that the plumber works.

60x + 35 = 305

Subtract 35 from both sides: 60x = 280

Divide by 60: x = 280/60

Simplify: x=14/3

Fraction to decimal: x=4.67

Answer: C (60x + 35 = 305; x = 4.5 hours)

It's right trust me! Wish you luck!

Brainliest?

The mean life of an extremely unstable nucleus, often referred to as the half-life, is typically very short. It can range from fractions of a second to a few minutes. For the purpose of this response, let's assume an extremely unstable nucleus has a half-life of 1 second.

On the other hand, the average human lifespan varies across different regions and time periods. As of my knowledge cutoff in September 2021, the global average life expectancy was around 72 years.

To calculate how many times longer the human lifetime is compared to the mean life of an extremely unstable nucleus, we need to convert the human lifespan to seconds:

72 years = 72 years * 365 days/year * 24 hours/day * 60 minutes/hour * 60 seconds/minute ≈ 2,270,400,000 seconds.

Now we can calculate the ratio:

2,270,400,000 seconds (human lifespan) / 1 second (mean life of an extremely unstable nucleus) ≈ 2,270,400,000.

Therefore, the lifetime of a human is approximately 2,270,400,000 times longer than the mean life of an extremely unstable nucleus with a half-life of 1 second. Keep in mind that this calculation assumes a specific half-life for the unstable nucleus and an average human lifespan. The actual values may vary in different contexts.

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The mean for the discrete probability distribution is 3.73

Generally, To calculate the mean of a discrete probability distribution, you can use the formula:

Mean = ∑x * P(x)

Using this formula, the mean of the given distribution is:

Mean = (2 * 0.2) + (6 * 0.3) + (10 * 0.3) + (14 * 0.2) = 4

To calculate the standard deviation of a discrete probability distribution, you can use the formula:

Standard Deviation = √∑(x - mean)^2 * P(x)

Using this formula and the mean that we calculated above, the standard deviation of the given distribution is:

Standard Deviation = √( (2 - 4)^2 * 0.2 + (6 - 4)^2 * 0.3 + (10 - 4)^2 * 0.3 + (14 - 4)^2 * 0.2 )

= √( (-2)^2 * 0.2 + (2)^2 * 0.3 + (6)^2 * 0.3 + (10)^2 * 0.2 )

= √( 4 * 0.2 + 4 * 0.3 + 36 * 0.3 + 100 * 0.2 )

= √( 0.8 + 1.2 + 10.8 + 20 ) = √( 13.8 )

= approximately 3.73

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Answer:

x=5°, angle A=50°

Step-by-step explanation:

8x+11x-5+90=180

19x=95

x=5°

-->A= 11x-5

= 11*5-5

=50°

Answer:

1/4 * 1/2 = 1/8

Step-by-step explanation:

1/4 chance of choosing an 'm'

1/2 chance of getting tails

Probability of both events = 1/4 * 1/2 = 1/8

Answer:

The corrects answer is: Emma will need to make sales totaling $800 next week to meet her goal.

Step-by-step explanation:

When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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Answer:

The answer should be x = 3.

Step-by-step explanation:

Here is my work attached below:

Answer:

1/10

Step-by-step explanation:

1/2 * 1/5

Multiply the numerators

1*1 = 1

Multiply the denominators

2*5 =10

Numerator over denominator

1/10

Answer:

1/10

Step-by-step explanation:

multiply the numerators and denominators separately

1×1/2×5

any expression multiplied by 1 remains the same

1/2×5

2×5=10

1×1=1

1/10

The scientist claims that 60% of U.S. adults believe humans contribute to an increase in global temperature. A 95% confidence interval for the proportion of U.S. adults who hold this belief is found to be (0.626, 0.674). This confidence interval supports the scientist's claim.

To determine if this confidence interval supports the scientist's claim, we need to examine whether the claimed proportion of 60% falls within the confidence interval.

The confidence interval (0.626, 0.674) indicates that we are 95% confident that the true proportion of U.S. adults who believe humans contribute to an increase in global temperature lies between 0.626 and 0.674. Since the claimed proportion of 60% falls within this range, it is within the confidence interval.

Therefore, we can conclude that the confidence interval supports the scientist's claim. This means there is strong evidence to suggest that a significant majority of U.S. adults believe humans contribute to an increase in global temperature, as the lower bound of the confidence interval is 62.6% and the upper bound is 67.4%.

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Considering the definition of a line, the equation of the line that passes through the point (5, -5) and has a slope of -1/5 is y= -1/5x -4.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know that:

Substituting the value of the slope m and the value of the point in the expression of a line, the value of the ordinate to the origin b can be obtained as follow:

-5= -1/5×5 + b

-5= -1 + b

-5 +1= b

-4= b

Finally, the equation of the line is y= -1/5x -4.

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Answer:

360 different permutations.

Step-by-step explanation:

It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.

The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.

We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.

The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.

However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.

Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.

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The probability that it was an HH coin is \(\frac{1}{50}\)

Conditional Probability P(B/A) is defined as probability of occurrence of B given that A has already occurred  .

Baye's Theorem describes the probability of an event based on conditions that might be related to event .

P(A/B)={P(B/A)*P(A)}/P(B)

Total number of coins =100

Total number of HH coins = 1

P(HH) =Probability of getting HH=1/100

P(H/HH)=Probability of H knowing that HH has already occurred=1

Next to find Probability Of H

We need to find two thing

(i) Probability H appears and is a fair coin= \(\frac{1}{2} *\frac{98}{100} =\frac{98}{200}\)

(ii)Probability H appears and is a HH coin = \(\frac{1}{100}\)

P(H)= (i)+(ii) =100/200=1/2

BY Baye's Theorem

P(HH|H)={P(H|HH)∗P(HH)}/P(H)

\(=\frac{1*\frac{1}{100} }{\frac{100}{200} }\)

\(=\frac{2}{100}\)

\(=\frac{1}{50}\)

Therefore , The probability that it was an HH coin is \(\frac{1}{50}\)

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Answer:

<E =122

Step-by-step explanation:

The sum of the angles of a triangle is 180

<D + < E + < F = 180

25 + <E + 33 = 180

Combine like terms

58 + <E = 180

<E = 180 -58

<E =122

Answer:

( 3+2, 5+2) →(5, 7)

Step-by-step explanation:

Answer:

he needs 9 cans

Step-by-step explanation:

first,

43L/5L

= 8.6 cans

8.6 cans is not logical therefore u need to round up to 9 cans

Answer:

2a +ab-9

Step-by-step explanation:

First, write out what you have:

3a-2b-ab-(a-b+ab)+3ab+b-9

Then, distribute the "-" to the "a-b+ab" inside the parenthesis:

3a-2b-ab-a+b-ab+3ab+b-9

Finally, combine like terms and simplify:

3a-a-2b+b+b-ab+3ab-ab-9

2a-2b+2b+3ab-2ab-9

2a+0+ab-9

2a+ab-9 is you equation fully simplified

Answer:

\(2y = - 4x + 15 \\ y = - 2x + 7.5 \\ \\ slop \: is \: x \: factor \: - 2\)