Aisha organized her books for 1/6 hour and her coin collection for 3/7 hour.

What is the best estimate for the total time Aisha spent organizing?

Drag and drop an answer into each box to correctly complete the sentences.

​1/6​ hour is closest to(0 hours, 1/2 hour, 1 hour, 1 1/2 hour, 2 hours) area. 3/7​ hour is closest to(0 hours, 1/2 hour, 1 hour, 1 1/2 hour, 2 hours)area. Therefore, the best estimate for the total time Aisha spent organizing is close to(0 hours, 1/2 hour, 1 hour, 1 1/2 hour, 2 hours)area.

Answer: it should be 11.infinite 6

Step-by-step explanation:7x2=14+21=35

35/3 = 11.infinite 6

So basically 11.6

Answer:

dividing by 1000

Step-by-step explanation:

Answer:

Base

Step-by-step explanation:

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

Answer:

x=2

Step-by-step explanation:

-5=-3x+1

-1         -1

-6=-3x

divide both sides by -3

x=2

The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = - 3x + 1.

Now, when f(x) = - 5 the equation would be,

- 5 = - 3x + 1.

- 5 - 1 = - 3x.

- 6 = - 3x.

3x = 6.

x = 2.

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It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.

We are given that 8 men can dig the hole in 9 hours.

This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.

Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.

If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.

To find the new time, we divide the total man-hours by the number of men:

72 man-hours / 10 men = 7.2 hours.

Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.

In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.

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The proportional relation is the third one.

y = (5/6)*x

A general linear equation in the point-slope form is written as:

y = a*x + b

Where the a is the slope, and b is the y-intercept.

Particularly, a proportional relation is a linear equation where the y-intercept is equal to zero

y = a*x

And in this case, the slope is also called a constant of proportionality.

Then from the given options, the one that is a proportional relation is:

y = (5/6)*x

Which is the third option, counting from the top.

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Answer:

h ≈ 19 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tan43° = \(\frac{opposite}{adjacent}\) = \(\frac{h}{20}\) ( multiply both sides by 20 )

20 × tan43° = h , then

h ≈ 19 m ( to the nearest whole number )

Answer:

1/9

Step-by-step explanation:

1/9 since it is positive

Answer:

Its 1/9.

Step-by-step explanation:

1/9 is indeed a fraction, and -4 is a negative number.

Answer:

x=70

Step-by-step explanation:

when added together, verticle angles equal 180 degrees.

2x-10+x+20=180

3x-10+20=180

3x-30=180

3x=210

x=70

Step-by-step explanation:

Please refer to the attachment

Answer:

The question is not complete

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Jacobi get area of pizza is 52.987 in²

5 friends getting equally share each one area of pizza is 40.27 in²

Any point in a plane that is a certain distance away from another point forms a circle. The fixed point is known as the center of the circle and the fixed distance is known as the radius of the circle.

The formula for calculating a circle's sector's area is (∅/360°) ×π×r²

Jacobi get area of pizza =(75/360°) × π×9²=52.987in²

5 friends getting pizza with each central angle measuring=360°-75°/5

=57°

5 friends getting each one area of pizza = (57/360°) × π×9²

40.27in².

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The constant of variation (k) for the inverse variation represented by the ordered pair (4, 5) is 20.

To find the constant of variation in an inverse variation, we can use the formula:

k = xy

where x and y are the coordinates of the ordered pair.

Given the ordered pair (4, 5), we can substitute the values into the formula:

k = 4 ( 5)

k = 20

Therefore, the constant of variation (k) for the inverse variation represented by the ordered pair (4, 5) is 20.

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Answer:

0.50 cent per ounces

Step-by-step explanation:

0.50 cent per ounces

Answer:

$4.46

Step-by-step explanation:

$60- 24.32= $35.68

So $35.68=8 bags of potatoes.

Then ÷8 to find 1 bag.

$35.68 ÷8 = $4.46

$4.46=1 BAG

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Answer:

\( P(\bar X>2.8)\)

We can use the z score formula given by:

\( z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing we got:

\( z=\frac{2.8 -2.32}{\frac{1.24}{\sqrt{32}}}=2.190 \)

And using the normal standard distribution and the complement rule we got:

\( P(z>2.190 )= 1-P(z<2.190) = 1-0.986=0.014\)

Step-by-step explanation:

For this case w eknow the following parameters:

\( \mu = 2.32\) represent the mean

\(\sigma =1.24\) represent the deviation

n= 32 represent the sample sze selected

We want to find the following probability:

\( P(\bar X>2.8)\)

We can use the z score formula given by:

\( z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing we got:

\( z=\frac{2.8 -2.32}{\frac{1.24}{\sqrt{32}}}=2.190 \)

And using the normal standard distribution and the complement rule we got:

\( P(z>2.190 )= 1-P(z<2.190) = 1-0.986=0.014\)

Answer:

0.55% probability that the mean childhood asthma prevalence for the sample is greater than 2.8​%. This means that a sample having an asthma prevalence of greater than 2.8% is unusual event, that is, unlikely.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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.

If X is more than two standard deviations from the mean, it is considered an unusual outcome.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this question, we have that:

\(\mu = 2.32, \sigma = 1.24, n = 43, s = \frac{1.24}{\sqrt{43}} = 0.189\)

What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.8​%?

This is 1 subtracted by the pvalue of Z when X = 2.8. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{2.8 - 2.32}{0.189}\)

\(Z = 2.54\)

\(Z = 2.54\) has a pvalue of 0.9945

1 - 0.9945 = 0.0055

0.55% probability that the mean childhood asthma prevalence for the sample is greater than 2.8​%. This means that a sample having an asthma prevalence of greater than 2.8% is unusual event, that is, unlikely.

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

-3(4c-2) -2c = -14c+6

Step-by-step explanation:

We need to find the equivalent expression for -3(4c-2) -2c.

First we open the brackets as follows :

-3(4c-2) -2c

= -12c+6-2c

=-12c-2c+6

=-14c+6

So, the equivalent expression is -14c+6.

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

\(P(A) = 0.2, P(B|A) = 0.5\)

What is P(A and B)?

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

\(P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1\)

P(A and B) = 0.1 = 10%

Answer: 3475 — 3000

Step-by-step explanation:

The approximate 3475 rounded to the nearest thousand is equal to 3000 as 3475 is closer to 3000 than it is to 4000 when considering multiples of 1000.

To approximate 3475 to the nearest thousand, need to round the number to the nearest multiple of 1000.

When approximate a number to the nearest thousand, looking for the nearest multiple of 1000.

Let's break down the process for rounding 3475 to the nearest thousand.

Identify the multiples of 1000:

1000

2000

3000

4000

and so on...

Determine which multiple of 1000 3475 is closest to:

3475 is between 3000 and 4000.

Compare the distance from 3475 to each multiple of 1000:

The distance from 3475 to 3000 is 475.

The distance from 3475 to 4000 is 525.

Choose the closest multiple:

Since the distance from 3475 to 3000 (475) is less than the distance to 4000 (525),

The number 3475 is closer to 3000 (the multiple of 1000) than it is to 4000, the nearest thousand is 3000.

Therefore, approximate 3475 to the nearest thousand is 3000 .

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Answer:

1/2jdjdjjdjdjdhdhdhdhdhhdhdhdhdhd

Answer:

times the nimbers

Step-by-step explanation:

240

Answer:

A.

~~

(Longest to shortest)

54+84= 138

84+42=126

54+42=96

Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated