Jake has 3 1/2 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing puzzles. It takes jake 1/2 hour to complete each puzzle. Which equation models the number of puzzles, p, jake can complete before bedtime?

Answer:

The correct answer is:

It is a continuous random variable (C)

Step-by-step explanation:

Continuous Random Variables are variables that do not take on a distinct value. They take on values that are a range of different possibilities to infinity. In continuous random variables, the values cannot be counted. In this example, the time it takes for a light bulb to burn out can be any rational number which is greater than 0, up to infinity; for instance, it can be 24 hours, 24.5 hours, 30.8 hours, 51.2 hours etc. There is an infinite possibility of the time it takes for the bulb to burn out.

Discrete Random Variables are ones in which the variables take on distinct values and nothing in between. Here, the outcomes can be counted. For example if a coin is tossed, there are only two possibilities which can be the outcome and that is either head, or tail. The number of possible outcome is 2, and there is nothing inbetween head or tail.

Answer:

It’s C

(Gibberish words to so i can to 29 words)

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Hope this helped,if not, don’t hate.

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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The point (5, -53, -5) in rectangular coordinates can be converted to cylindrical coordinates as (5√34, -arctan(53/5), -5).

To convert a point from rectangular coordinates (x, y, z) to cylindrical coordinates (r, θ, z), we use the following formulas:

r = √(x² + y²)

θ = arctan(y/x)

z = z

In this case, we have the point (5, -53, -5). Applying the formulas, we can calculate the cylindrical coordinates as follows:

r = √(5² + (-53)²) = √(25 + 2809) = √(2834) = 5√34

θ = arctan((-53)/5) = -arctan(53/5)

z = -5

Therefore, the point (5, -53, -5) in rectangular coordinates is equivalent to (5√34, -arctan(53/5), -5) in cylindrical coordinates.

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The average rate energy is 3.99 W and  the energy per cycle of the wave is 0.996 J.

Given equation of wave is: y(x,t) = 0.370sin(8πt − 3πx + 4π)

where x and y are in meters,

t is in seconds, and μ of the wire is 77.5 g/m.

- The wave equation for the given wave can be represented as :

y(x,t) = A sin(kx - ωt)

where A is the amplitude

k is the wave number

ω is the angular frequency

a) The average rate at which energy is conveyed along the wire is given by

Pavg = ½μω²A²v

Pavg = ½(0.0775 kg/m)(8π/T)²(0.370 m)²v

= 0.17 m/s

Therefore, Pavg = 3.99 W.

b) The energy per cycle of the wave is given by

E = PavgT / 2πE

= (3.99 W)(2π / 8π)E

= 0.996 J

Therefore, the energy per cycle of the wave is 0.996 J.

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......the correct answer is 0

The direct distance from the school to the library, travelled by Alice can be

found using Pythagoras's theorem.

The number of miles Britney travelled more than Alice is; 8 miles

Reason:

The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can

be found with the formula;

\(d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}\)

The above formula can be obtained using Pythagoras's theorem.

The distances travelled by Britney are;

Distance from the school to the mall = \(\sqrt{(10 - 10)^2 + (6 - (-4))^2}\) = 10

Distance from the mall to the library = \(\sqrt{(-14 - 10)^2 + (6 - 6)^2}\) = 24

Total distance travelled by Britney = 24 miles + 10 miles = 34 miles

The distance travelled by Alice is from the school to the library, which

gives; Alice's distance = \(\sqrt{(10 - (-14))^2 + (-4 - 6)^2}\) = 26

Distance travelled by Alice from the school to the library is 26 miles

The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles

Therefore;

Britney traveled 8 miles more than Alice

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Answer:

136

Step-by-step explanation:

multiply 4 times 6, divide by two to get the area of the front side, then multiply that by two to get eh area of the two triangles.

Then multiply each side, two sides of 5 time 7 and one side of 6 times 7

From the given data, you can see that the value that occur three times is. 42 and the smallest of the data is 13

A stem and leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution.

From the given table, we will match the stem values to all the leaf values. The equivalent data from the stem and leaf plot are 13, 14, 17,19, 21, 23, 40, 42, 42, 42.

From the given data, you can see that the value that occur three times is. 42 and the smallest of the data is 13

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Given :

To Find :-

Solution :-

Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.

⇒ 96° + 2x = 180° .

⇒ 2x = 180° - 96° .

⇒ 2x = 84° .

⇒ x = \(\red{\sf \dfrac{84^{\circ}}{2}}\)

\(\bf\longmapsto x = 42^{\circ}\)

Hence value of x is 42° .

Similarly , 94° & ( 3y + 44) ° are co- interior angles

⇒ 94° + ( 3y + 44)° = 180° .

⇒ ( 3y + 44 )° = 180° - 94° .

⇒ 3y + 44° = 86°.

⇒ 3y = 86° - 44° .

⇒ 3y = 42° .

⇒ y = \(\sf \red{\dfrac{42^{\circ}}{3}}\)

\(\bf\longmapsto y = 14^{\circ}\)

Hence the value of y is 14°.

Answer:

B

Step-by-step explanation:

One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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Answer:

the area of rectangle is 12x²+17x-5

If the incomes in a certain larger population of college teachers have a normal distribution with mean of $60,000 and standard deviation of $5,000.the probability that their average salary exceeds $65,000 is 0.0228.

Probability is the tendency or likelihood that an event will happen.

First step is to find the standard deviation

Standard deviation= $5,000/√4

Standard deviation= $5,000/2

Standard deviation= $2,500

Second step is to find the z -score

Z= 65,000 - 60,000/2500

Z= 5,000/2500

Z= 2

Now let find the  pvalue of 2

pvalue of 2 = 0.0228

Therefore the probability is 0.0228.

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Answer:

11 classes will have 8 students, 1 class will have 7 students

Step-by-step explanation:

Take the total number of students and divide by the number of classes

95 / 12 =7.916666

Most classes will have 8 students, 1 class will have 7 students

A- The specific heat of the sugar syrup can be converted to 2,060 kJ/kg·°C, and

b- the rate of heating, which is the heat energy transferred per unit time, is approximately 156.96054 kJ/s in SI units.

A- To convert the specific heat from Btul⁻¹F⁻¹ to kJkg⁻¹°C⁻¹, we use the conversion factor: 1 Btul⁻¹F⁻¹ = 4.184 kJkg⁻¹°C⁻¹.

Specific heat of the sugar syrup = 0.9 Btul⁻¹F⁻¹.

Converting to kJkg⁻¹°C⁻¹:

Specific heat = 0.9 Btul⁻¹F⁻¹ * 4.184 kJkg⁻¹°C⁻¹/Btul⁻¹F⁻¹

Specific heat ≈ 3.7584 kJkg⁻¹°C⁻¹.

(b) The rate of heating, or the heat energy transferred per unit time, can be calculated using the formula:

Rate of heating = (mass of the syrup) × (specific heat) × (temperature change) / (time)

The mass of the syrup can be calculated using the volume and density:

Mass = (volume) × (density) = 50 ft³ × 66.9 lb/ft³ ≈ 3345 lb ≈ 1516.05 kg.

The temperature change is ΔT = 80°C - 20°C = 60°C.

Plugging these values into the formula, we get:

Rate of heating = (1516.05 kg) × (0.388 kJ/(kg⋅°C)) × (60°C) / (30 min × 60 s/min) ≈ 156.96054 kJ/s.

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The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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The solution to the inequality f(x) ≤ 0 is the interval [-6, 2]. In other words, the values of x that satisfy the inequality are those that lie between -6 and 2, inclusive.

To solve the inequality f(x) ≤ 0, we need to find the values of x for which the function f(x) is less than or equal to zero.

We start by factoring the quadratic expression f(x) = x^2 + 4x - 12:

f(x) = (x + 6)(x - 2)

Setting this expression to zero, we get:

(x + 6)(x - 2) = 0

This gives us two solutions: x = -6 and x = 2.

Now, we need to determine the sign of f(x) in the intervals between these two solutions. We can use a sign chart to do this:

x f(x)

-∞ +

-6 0

2 0

+∞ +

From the sign chart, we see that f(x) is positive for x < -6 and for x > 2, and it is negative for -6 < x < 2.

To summarize, the solution to the inequality f(x) ≤ 0 for the function f(x) = x^2 + 4x - 12 is the interval [-6, 2].

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Answer:

y=1+1/3x

Step-by-step explanation:

Answer:

EF+FG =EG

18 + FG =20

FG = 20-18

FG = 2

Answer:

\(ef \: + \: fg \: = eg \\ \\ 18 + fg = 20 \\ \\ fg = 20 - 18 \\ \\ fg \: = \: 2\)

9514 1404 393

Answer:

  9 +3/4b

Step-by-step explanation:

The speed of the second cyclist is b more than 12 miles per hour, so is ...

  2nd cyclist speed = b + 12

The time of interest is 45 minutes = (45/60) hours = 3/4 hours.

The distance the second cyclist travels in 3/4 hour is ...

  distance = speed × time

  distance = (b +12)(3/4)

  distance = 3/4b +9 . . . miles

Answer:2.4

Step-by-step explanation:

Yes, if a null hypothesis is rejected at the 0.02 level of significance, it could also be rejected at the 0.08 level of significance.

A null hypothesis (H0) is a statement that supposes there is no variation between the populations or no correlation between the variables being examined. The null hypothesis is rejected or not rejected based on the results of the statistical test. This rejection shows that the test results suggest that the null hypothesis is incorrect or invalid.

A level of significance is a numerical value that determines the likelihood of rejecting the null hypothesis. If the probability of an occurrence happening is less than the level of significance, the null hypothesis can be rejected. Therefore, if a null hypothesis is rejected at a higher level of significance, it can also be rejected at a lower level of significance.

If a null hypothesis is rejected at the 0.02 level of significance, it means that there is a small chance of getting the result by chance or coincidence. If the null hypothesis is rejected at a 0.08 level of significance, it implies that there is a greater chance of getting the result by chance or coincidence. Thus, if the null hypothesis is rejected at the 0.02 level of significance, it could also be rejected at the 0.08 level of significance.

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Answer:

1

Step-by-step explanation:

27 - {18 + (16 ÷ (2 x 3 - 4))}

27 - {18 + (16 ÷ (6 - 4))}

27 - {18 + (16 ÷ 2)}

27 - {18 + 8}

27 - 26 = 1

Answer: Debnil has 2 Tablespoons of salt.

Step-by-step explanation:

3/1 is the ratio for teaspoons to tablespoons.

Substitute the 1 with the 6. What is six divided by three? 2.

Answer:

7/12

Step-by-step explanation:

1/4 + 1/3

3/12 + 4/12

7/12

Answer:

the answer is 6

Step-by-step explanation:

3×2-0×2=6

Answer:

x= 1 (any number greater than -10)

Step-by-step explanation:

">" this sign shows that any number greater than -10 can be x. There is no specific answer.

Answer:

The solution set of an inequality is < (less than) or > (greater than) to compare two or more numbers. Example 12 > - 10.

Step-by-step explanation:

When comparing two numbers, like 5 and 8, you probably recognize that the number 5 is less than the number 8. You probably also realize that the number 8 is greater than the number 5. In math, we use the inequality symbols < and > to compare two or more numbers.