Kathleen likes to make desserts for bake sales. Last month, she made 1 batch of brownies
and 1 batch of cookies, which called for 7 eggs total. The month before, she baked 1 batch of
brownies and 2 batches of cookies, which required a total of 11 eggs. How many eggs did
Kathleen use for a batch of each dessert?
eggs to make a batch of brownies and
Kathleen uses
of cookies.
Submit
eggs to make a batch
You h
Jay

The word "INFINITY" has eight letters. To find out the number of distinct permutations that can be made from the word "INFINITY," we will use the formula for permutation. The formula is:$$P(n,r) = \frac{n!}{(n-r)!}$$Where n is the total number of items and r is the number of items taken at a time.

Using the formula, we get:\($$P(8,8) = \frac{8!}{(8-8)!}$$$$P(8,8) = \frac{8!}{0!}$$$$P(8,8) = 8!$$$$P(8,8) = 40,320$$\). There are 40,320 distinct permutations that can be made from the letters of the word INFINITY. To find out the number of permutations that start with the letter Y, we will treat Y as a fixed letter at the beginning. Then we will find the number of permutations of the remaining seven letters.

This can be done using the same formula as before. But this time, we will use n = 7 and r = 7. The formula becomes:\($$P(7,7) = \frac{7!}{(7-7)!}$$$$P(7,7) = \frac{7!}{0!}$$$$P(7,7) = 7!$$$$P(7,7) = 5,040$$\). Therefore, there are 5,040 permutations that start with the letter Y.

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Answer:

8b-5=6b+23

8b-6b=23+5

2b=28

b=14

Step-by-step explanation:

The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9

A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.

The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.

Complete Question:

The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.

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It will take 11 days to sell 3872 liters of fuel at the same rate as 1760 liters sold in 5 days.

We can use the following proportion to solve the problem:

1760 liters / 5 days = 3872 liters / x days

Where x is the number of days it will take to sell 3872 liters of fuel.

We can use the unitary method to solve this problem.

Let's start by finding out how much fuel is sold in one day. To do this, we need to divide the total amount of fuel sold (1760 liters) by the number of days it was sold for (5 days):

1760 liters ÷ 5 days = 352 liters per day

Now we can use this rate to find out how many days it will take to sell 3872 liters of fuel:

3872 liters ÷ 352 liters per day = 11 days (rounded to the nearest whole number)

Therefore, it will take 11 days to sell 3872 liters of fuel at the same rate as 1760 liters sold in 5 days.

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Answer:

x = 2(499)

cost is 998

Step-by-step explanation:

Answer Plus Step-by-step explanation:

A:

X ÷ 2 = $499

Or

$499 x 2 =X

Or

X($499·2)

Part B :

One half…Let’s see a half :which is X ÷ 2 meaning that $499 x 2 = X so

X=$998!

Hope this helped!

Have a great day!

The model is appropriate since there is a constant rate of change between the two variables."

On plotting the given function we can say that it is a equation of line

Also there is a constant rate of change between two variables C and m

So we can say conclude that from the given options  third option is correct.

"

Given that , Jill has a coin collection

According to the given condition she currently has 40 coins and will add 2 new coins in the collection each month

According to her the model that represents the given situation is given by the function C(m) = 40 + 2m

where is the number of coins in her collection and m is the number of months that have passed

We have to find out that which of the statements best describes the appropriateness of her model

The given options are

The model is not appropriate since the two variables are related exponentially

The model is not appropriate since the domain of the function must be integral values.

The model is appropriate since there is a constant rate of change between the two variables.

The model is appropriate since there is a constant percent rate of change between the two variables

We can graph the function

\(\rm C(m) = 40 +2m\)

On plotting the given function we can say that it is a equation of line

Also there is a constant rate of change between two variables C and m

So we can conclude that from the given options  third option is correct.

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Answer:

624

Step-by-step explanation:

\( 2(\frac{1}{2} \times 6 \times 8 ) + (24 \times 8) + (24 \times 6) + (10 \times 24)\\ = 624\)

The probability that she will select both a square and a green scarf  is 1/15

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event A is defined as the number of favorable outcomes divided by the number of total outcomes.

Since the probability that Cathy will select a square shape from a box is 1/3 and the probability that she will select a green scarf from a different box is 1/5. Thus, the probability that she will select both a square and a green scarf will be:

P (square shape and green scarf ) = 1/3 * 1/5

P (square shape and green scarf ) = 1/15

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Answer:

Yep, the answer is correct!

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

5 less than 6 times a number is 6n-5 and 4 times the sum of the same number and 10 is 4(n+10). so

6n-5=4(n+10)

Answer:

Step-by-step explanation:

Answer:-90

Step-by-step explanation:

Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Answer:

Step-by-step explanation:

34 millimeter

Step-by-step explanation:

Let the numbers be x and y

2 consecutive even nos.

therefore y = x+2

twice of the first (2x) is 46 more than y

2x = y+46

Solving both the equations

x - y + 2 = 0

(-)2x - y - 46 = 0

____________

-x + 0 + 48 = 0

____________

x = 48

y = x+2

= 48 +2

= 50

Therefore the 2 nos. are 48 and 50

Hope this answers helps you

Answer:

Which one do you need help with

Answer:

vertex: (-2, -3)

Step-by-step explanation:

y = x2 + 4x                 + 1  

y = x2 + 4x + 22          + 1 - 22  

y = (x + 2)2 + 1 - 4  

y = (x + 2)2 - 3            in y = (x - h)2 + k, (h, k) is the vertex.  

Answer:

y = (x - 2)² - 3

Step-by-step explanation:

Given

y = x² - 4x + 1

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 1

   = (x - 2)² - 3

Answer:

1√5

Step-by-step explanation:

Combine like terms

Answer:

-\(\sqrt{5}\), or about -2.24 in decimal form

Step-by-step explanation:

Add -3 and 2 and keep the \(\sqrt{5}\). -3+2 is -1, so the answer is -\(\sqrt{5}\).

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."

R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.

A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.

Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.

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Answer:

D

Step-by-step explanation:

-((5)(-8))= (-5)(8)

- + = -

- - = +

Answer:c

Step-by-step explanation positive times a negative is a negative

positive times a positive is a positive

negative times a negative is a positive

pemdas look it up if you dont know what it is

It will take them 2 hours to do the whole task if they work together.

If one person can do a task in 3 hours and another person can do the same task in 6 hours, then we can calculate their individual rates of work as follows:

The first person can do 1/3 of the task per hour (since it takes them 3 hours to do the whole task).

The second person can do 1/6 of the task per hour (since it takes them 6 hours to do the whole task).

When they work together, their rates of work will add up, so their combined rate of work is:

1/3 + 1/6 = 1/2

This means that working together, they can do 1/2 of the task per hour. To find out how long it will take them to do the whole task, we can use the formula:

time = work ÷ rate of work

Since the whole task is 1 unit of work, and their combined rate of work is 1/2 units per hour, we can plug in these values to get:

time = 1 ÷ (1/2) = 2 hours

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Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is

The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.

However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.

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Answer:

Given,

Let's assume the maximum safe height of wall = h

angle formed between ladder and ground = 70°

length of ladder = 16 ft

From the given data, it can be seen that ladder will form a right angle triangle structure with the wall

So,from the concept of trigonometry,

Sin70^o\ =\ \dfrac{\textrm{maximum safe height of wall}}{\textrm{length of ladder}}Sin70

o

=

length of ladder

maximum safe height of wall

= > Sin70^o\ =\ \dfrac{h}{16\ ft}=>Sin70

o

=

16 ft

h

= > \ h\ =\ 16\times Sin70^o=> h = 16×Sin70

o

=> h = 16 x 0.9396

=> h = 15.03 ft

So, the maximum safe height that can be reached by the ladder will be 15.03 ft.

Here is the Correct asnwer.

Answer:

8

Step-by-step explanation:

given the areas are equal then equate the areas of both, that is

area of parallelogram = lb ( l is the length and b the breadth )

here b = 2 , then

area = 2l

area of triangle = \(\frac{1}{2}\) bh ( b is the base and h the height )

here b = 8 and h = 4 , then

area = \(\frac{1}{2}\) × 8 × 4 = 4 × 4 = 16 cm²

Now equate the 2 areas

2l = 16 ( divide both sides by 2 )

l = 8 cm

the number in the box is then 8

Answer: if you insert each x and y coordinate into the equations you will be able to figure out that option A will give you an answer of 10=16 and 1=3 which isn't correct. And so we do this for B and C until D is correct and matches with 6=6 and 3=3.

Answer:

im on the same question too

Step-by-step explanation:

honestly i am 80% sure the answer is c

Answer:

y = -x +9

Step-by-step explanation:

The equation will be written in slope-intercept form, y=mx+b

Looking at the graph, we can already see that the y-intercept is +9 since that is the point on the y-axis from where the line comes from.

Now, you have to find the slope. Normally, you would pick two points and subtract the y value of the second point and the y value of the first point and put the sum over the difference of the x value of the second point and the first point, y2 - y1/ x2 - x1.

You could have done this or looked at the graph to see that the line has a constant downward slope of -1, go down one and to the right one from (0,9) t ok end up at (1,8).

All that's left to do now is to plug the values of the slope and y-intercept in to give us the equation y = -x +9.

Answer: A

Step-by-step explanation:

\(\left(\frac{7}{8} \right)\left(-\frac{32}{49} \right)(14)(m^{2}n)(mn^{3})(mn^{2})=\boxed{8m^{4}n^{6}}\)

Answer:

first one

Step-by-step explanation: