There are y cupcakes in the class. It is two more than 4 times the number of donuts (X). How many donuts are there in the class?
X = (y – 4)/2
X = (y + 2)/4
X = (y – 2)/4
X = 2y + 4

Answer:

occurred during the same period of time

Step-by-step explanation:

The word "while" indicates two events ("I was studying" and "she was making dinner") happening at the same time.

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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Answer:

\(x=6\)

\(x=-6\)

Step-by-step explanation:

\(f(x)=x^2-36\)

\(x^2-36=0\)

\(x=36\)

x= ±√36

x= ±6

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

hope it helps...

have a great day!!

Answer:

x=6

x=-6

Step-by-step explanation:

hope it helps..

Answer:

\(90 \sqrt{2} \)

Step-by-step explanation:

This is a 45°-45°-90° right triangle, so the length of the hypotenuse is √2 times the length of a leg. Since both legs have length 90, the hypotenuse has length 90√2. So y=90√2.

Answer:

7) d (21)

6) a (102)

Step-by-step explanation:

For the first question, we should start with what we know first:

When angles are complementary then, their angles add up to 90.

So here we have 69 + something = 90.

We find out that the missing angle (angle B) is 21.

For this second question, we know that a straight line has an angle of 180. Here we have a straight line, but only part of the angle in which we only have 78.

Since we know 78 + x = 180

Then we can figure out that x = 102.

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

The dot plot represents the number of experiments ranging from 5 to 30 in increments of 5. The data set shows a distribution with the following dot counts: 1 dot for 5, 5 dots for 10, 3 dots for 15, 2 dots for 20, 3 dots for 25, and 6 dots for 30. To determine the center and spread of the data, we find that the center is located between 15 and 20, and the spread ranges from 5 to 30.

In the dot plot, the center of the data set can be estimated by identifying the middle value or values. As there are 20 data points in total, the median will fall between the 10th and 11th values when arranged in ascending order. Considering the dot counts for each value, we find that the 10th value (15) has 3 dots and the 11th value (20) has 2 dots. Therefore, the center lies between these two values. Since the increment is 5, we can conclude that the center is between 15 and 20.

Regarding the spread of the data, it refers to the range of values covered by the data set. In this case, the range is determined by the smallest and largest values. The smallest value is 5 (represented by 1 dot), and the largest value is 30 (represented by 6 dots). Hence, the spread of the data spans from 5 to 30.

To summarize, the center of the data set lies between 15 and 20, while the spread of the data ranges from 5 to 30.

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The question is incomplete, so this is a general answer

Answer:

there wont be a fraction the sweets are gone

Step-by-step explanation:

she got fat

Answer:

4 hour of her day

Step-by-step explanation:

Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 99% confidence level, hence\(\alpha = 0.99\), z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The other parameters are given by:

\(n = 90, \pi = \frac{12}{90} = 0.1333\)

Then, the bounds of the interval are found as follows:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041\)

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256\)

The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

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Answer:

A. Multiplying by One

Step-by-step explanation:

semoga membantu

For tax year 2018, Ben's standard deduction is $12,000. As a single filer, the standard deduction amount he can claim is $12,000.The standard deduction is a fixed amount of money that reduces the amount of income subject to taxation.

A taxpayer can choose to claim the standard deduction or itemize their personal deductions. If the sum of all itemized deductions exceeds the standard deduction, the taxpayer should opt to itemize. If the sum of itemized deductions is less than the standard deduction, the taxpayer should opt to take the standard deduction.A legally blind taxpayer may qualify for a higher standard deduction.

For tax year 2018, the additional standard deduction amount for a taxpayer who is blind is $1,600.

Since Ben is legally blind, his standard deduction amount could have been $12,000 + $1,600 = $13,600 if he had chosen to take the higher standard deduction.

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Answer:

y= -12x-14

or if it was x, x=-4/12-7/6

To find the correct equations for the missing boxes, we need more information about the relationships between the different activities in Jake's Gems. However, based on the given context, we can make some assumptions and suggest potential equations:

Mining and Cutting activities produce diamonds, rubies, and other gems. Let's assume that the production of each gem type is represented by a variable: D (diamonds), R (rubies), and G (other gems).

Maintenance supports the Mining and Cutting activities. We can assume that the maintenance effort required for each activity is represented by the variable M (maintenance).Since the question mentions five missing boxes, we can suggest additional equations to represent relationships between these variables, such as:

Mining + Cutting = D + R + G (the sum of all gem types produced equals the total production from Mining and Cutting activities).

Maintenance = M (maintenance effort required).

The relationships between these variables might include equations like D = f(M), R = g(M), G = h(M), where f, g, and h represent some functions or formulas that relate gem production to maintenance effort.

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Answer:

\(f(x) = {x}^{4} - 16\)

Step-by-step explanation:

\(f(x) = (x + 2i)(x - 2i)(x - 2)(x + 2)\)

\(f(x) = ( {x}^{2} + 4)( {x}^{2} - 4) \)

\(f(x) = {x}^{4} - 16\)

The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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If ∠1 and ∠2 are vertical angles, that means they are opposite angles formed by two intersecting lines. Since they are opposite, their measures must be equal. If m∠1 = 108°, then m∠2 = 108°.

If ∠A and ∠B are complementary angles, that means their measures add up to 90°. If m∠B = 68°, then m∠A = 90° - 68° = 22°.

For the first question, if ∠1 and ∠2 are vertical angles, this means that they are opposite angles and are equal in measure. So, if m∠1 = 108°, then m∠2 = 108° as well.

For the second question, if ∠A and ∠B are complementary angles, this means that their measures add up to 90°. So, if m∠B = 68°, then m∠A = 90° - 68° = 22°.

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The coordinates of points A are -2 and 5.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In the given image there is a rectangle ABCD on the coordinate axes. All the vertices of the rectangle are having coordinates. Point A of the rectangle is in the second quadrant where the value of y is positive but the value of x is negative. The coordinates of points A are -2 and 5.

Therefore, the coordinates of points A are -2 and 5.

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Answer:2x3

Step-by-step explanation:

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

z)

=> z = 35

x)

180 - (35 + 85)

=> x = 60

Hope this helps!

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is 85 = y

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that angle z = 35

Now you add 35 + 85 = 120

180 - 120 = 60 = angle x

In summary

x=60

y=85

z=35

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

0.7304

Step-by-step explanation:

According to the Question,

We have,

P(keystroke satisfactory) =0.83 ,  P(logic satisfactory)= 0.88

Since the events are independent. So, the probability that a finished calculator will be satisfactory

⇒ 0.83×0.88

⇒0.7304

The correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

When a chocolate bar is cut in half, its density remains unchanged. Density is a physical property of a substance that is determined by its mass per unit volume. When the chocolate bar is cut in half, the mass is also divided into two equal parts, resulting in a reduction of the volume by half as well. Since both the numerator and denominator in the density formula change proportionally, the density remains the same.

For example, if the density of a chocolate bar is 1 gram per cubic centimeter, cutting it in half would result in two smaller bars, each with half the volume and half the mass. The density of each of the new bars would still be 1 gram per cubic centimeter, even though they are smaller in size.

Therefore, the correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

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Answer:

Student's tickets: 60

Adult's tickets: 190

I think this is right

Step-by-step explanation:

"Let x represent the number of tickets sold to students under the age of 16. Let y represent those over the age of 16.

Equation 1, number of tickets sold:

The total number of tickets sold to students under the age of 16 plus the number of tickets sold to students over 16 must equal 250 (since the theater was sold out). The equation becomes:

x + y = 250

Equation 2, revenue from tickets sold.

The total revenue was $910. The cost of tickets under 16 is $2.50 and the cost of tickets over 16 is $4.00. The equation becomes:

2.50 * x + 4.00 * y = 910.00

The system of equations to solve is:

         x  +  y = 250

2.50 * x +  4.00 * y = 910.00 "

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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Answer:

6n/8 = m

Step-by-step explanation:

-3(m-2n) = 5m

-3m+6n = 5m

6n = 5m + 3m

6n = 8m

6n/8 = m

For all quadrilaterals, one universal property is that the sum of all their angles equals 360 °.

To determine Justin's error, let's examine the expression 12.5 * 3.8 x, where x is 7.9 * 12.5 * 3.8 * (7.9 * 16.3) * (7.9 * 128.77).

The expression can be simplified by applying the correct order of operations, which is typically represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication, Division from left to right, Addition, and Subtraction from left to right).

Looking at the expression, we can identify that the multiplication operation is present in two places: 12.5 * 3.8 and 7.9 * 12.5 * 3.8.

To evaluate the expression correctly, we need to perform the multiplication operations first. This means that Justin's error lies in not multiplying 12.5 and 7.9 first.

Therefore, the correct evaluation would be:

12.5 * 7.9 * 3.8 * (7.9 * 16.3) * (7.9 * 128.77)

By multiplying 12.5 and 7.9 first, we would obtain a different result than what Justin likely calculated.

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Answer:

17

Step-by-step explanation:

Price of a Cake

10.5/3= 3.5

1 Cake = $3 and 5 cents, 3.5

Price of a cookie

3.5*4=14

14 out of 14.80 was the cost of 4 cakes

Which leaves us with 0.8

8/0.8= 0.1

The Price of 1 cookie is 0.1

1 Cake: 3.5

1 Cookie: 0.1