The ratio of boys to girls in Ella's grade is 3 to 4. The ratio of boys to girls in Minh's grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in Ella's grade?
HELPP MEEE PLEASE FORR 19 POINTS!

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The y-coordinate of the point on the line when x = 8 is -1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Point, (x1, y1) = (2, -4)

The linear equation is calculated as

y = m(x - x1) + y1

So, we have

y = 1/2(x - 2) - 4

When x = 8, we have

y = 1/2(8 - 2) - 4

Evaluate

y = -1

Hence, the y-coordinate of the point on the line when x = 8 is -1

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The value of x =7

Power:

An expression that represents repeated multiplication of the same factor is called a power.

Exponent:

The number 5 is called the base, and the number 2 is called the exponent.

Given that

8^(x+3) = 2^(x-5)

to find the value of x we need to make bases equal

if the bases are equal then powers are also equal

8 can be written as \(2^{3}\)

so ,now we need to replace 8 with  \(2^{3}\)

\(2^{3}\) ^(x+3) = 2^(x-5)

2^(3x+9) = 2^(x-5)

bases are equal now powers also equal

3x + 9 = x - 5

2x = 14

x = 7

The value of x =7

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To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

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Answer: 1. P = 1/64

             2. P = 1/32

             3. P = 1/8

Step-by-step explanation:

In genetics, an ofspring inherits one copy of an allele of each parent, which can be described in the tables below called Punnett Square:

For crossing Aa x Aa:

       A      a

A    AA   Aa

a    Aa    aa

For crossing Bb x Bb:

        B      b

B     BB    Bb

b     Bb    bb

For crossing Cc x Cc:

       C      c

C    CC    Cc

c     Cc     cc

We can separate them because they are assorted independently.

For offspring with genotype AABBcc, probability will be:

P(AA) = 1/4

P(BB) = 1/4

P(cc) = 1/4

As all three probabilities has to happen at the same time, it is a "E" rule:

P(AABBcc) = \((\frac{1}{4}) (\frac{1}{4}) (\frac{1}{4})\)

P(AABBcc) = 1/64

Probability for the individual to be AABBcc is 1/64 or 1.56%.

Genotype AaBBcc:

P(Aa) = 2/4 = 1/2

P(BB) = 1/4

P(cc) = 1/4

P(AaBBcc) = \((\frac{1}{2}) (\frac{1}{4}) (\frac{1}{4})\)

P(AaBBcc) = 1/32

Probability for the individual to be AaBBcc is 1/32 or 3.12%

Genotype AaBbCc:

P(Aa) = 1/2

P(Bb) = 1/2

P(Cc) = 1/2

P(AaBbCc) = \((\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})\)

P(AaBbCc) = 1/8

Probability for the individual to be AaBbCc is 1/8 or 12.5%.

The Solution to the expression 4e + g2 - 3e-9-g is 3

Algebraic expression is a  mathematics phrase that include coefficients, unknown variables  operations, and constants

From the expression we are given; g= 7 and e = 5

Step 1 : Substitute the given into the expression 4e + g2 - 3e-9-g

4(5) + (7)2 - 3(5) -9-7

Step 2; Evaluate the the expression 4(5) + (7)2 - 3(5) -9-7

20+14-15-9-7

34-31

=3

Therefore, solution to the expression is 3

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The 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (12.4,13.3).

Given that a sample of 101 cookies and per cookie in the sample has a mean of 12.9 and a standard deviation of 3.2.

From the given information,

Let n=101 represents the size of the sample.

Let \(\bar{x}\)= 12.9 represents the mean of the sample.

Let s= 3.2 represents the standard deviation of the sample.

Degrees of freedom:

df = n-1

df= 101-1

df= 100

The critical value of t at 0.2 level of significance with 100 degrees of freedom is,

\(\begin{aligned}t_{cric}&=t_{(\frac{\alpha}{2}, n-1)}\\ &=t_{(0.2,100)}\\ &=1.2900\end\)

The 80% confidence interval for the number of chocolate chips per cookie for Big chip cookies is computed as follows:

\(\begin{aligned}CI_{80\%}&=\bar{x}\pm t_{(\frac{\alpha}{2},n-1)}\left(\frac{s}{\sqrt{n}}\right)\\ &=12.9\pm 1.2900\left(\frac{3.2}{\sqrt{101}}\right)\\ &=12.9\pm 1.2900\times 0.3184\\ &=12.9\pm 0.410736\\ &=12.489264,13.310736\end\)

Hence, the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies when the mean is 12.9 and standard deviation is 3.2 is (12.4,13.3).

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Answer:

The width is 6cm.

Step-by-step explanation:

using the formulae width = Volume by height length

= 546/7.13=6

But are you trying to train my brain or trying to get answers?

Answer:

width = 6cm

Step-by-step explanation:

\(7 \times 13 \times w = 546 \\ 91 \times w = 546 \\ 91w = 546 \\ w = 6cm\)

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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If he opened a grocery account at my bank with $150 and every week thereafter he withdraw $55 from the account to pay for groceries, then the equation of the line in the form y = mx+b that describes the grocery account balance is y = -55x+150

The balance in the bank account = $150

The amount he withdraw from the account for groceries = $55

Consider the number of week he had the account as x

y is the amount in the account

Then the equation will be

y = 150-55x

Rearrange the term and make the equation in the form y = mx+b

y = -55x+150

Hence, If he opened a grocery account at my bank with $150 and every week thereafter he withdraw $55 from the account to pay for groceries, then the equation of the line in the form y = mx+b that describes the grocery account balance is y = -55x+150

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Answer:

A. From 2005 to 2009, both assets and liabilities decrease.

Step-by-step explanation:

I just took the test and it was correct

From 2005 to 2009, both Assets and Liabilities decreased.

We have - A table showing the assets and liabilities of smith family in year 2005 and 2009.

We have to estimate, whether the smith family has acquired more assets or liabilities from the year 2005 to 2009.

Assets are the items that an individual own in order to extract some economic benefit from it in the future.

Liability includes the money, services or items that you owe to other person. Example : Loan, mortgage etc.

In the question given -

In the year 2005 :

In the year 2009 :

Hence, it can be seen from the above figures that - From 2005 to 2009, both Assets and Liabilities decreased.

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Answer:

36/(9-4)=7.2

Step-by-step explanation:

You first have to subtract 4 from 9, because it is in the parentheses. The answer is 5, so you have 36/5, which equals 7.2

Answer:

36/5

Step-by-step explanation:

\(\frac{36}{9-4}\\\\\)

Subtract the numbers

\(9-4=5\\\\=\frac{36}{5}\)

Answer:

3 x 0.95 = 2.85

Answer is 2.85

Answer: 11.2

Step-by-step explanation:

The perimeter of the figure described in the question is 42.84cm

The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.

So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.

The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:

C = 3.14*D

In this case, the circumference of half circle is:

C = 3.14*D/2

Replacing the value of the diameter:

C = 3.14*12cm/2 = 18.84cm

Adding the two sides of the triangle we get the perimeter.

P = 18.84cm + 2*12cm = 42.84cm

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Answer:

Emigrate means to leave one's country to live in another. Immigrate is to come into another country to live permanently. Migrate is to move, like birds in the winter. The choice between emigrate, immigrate, and migrate depends on the sentence's point of view.

Answer:

97%

Step-by-step explanation:

If you get 100% on a test, you got all the answers correct.

It doesn't matter how many questions there are. If you got all of them correct, you get 100%.

What if you have 100 questions on a test?

If you got 85 questions correct, on a 100 question test, your grade would be 85%.

If you got 35 questions correct, on a 100 question test, your grade would be 35%.

If you got 98 questions correct, on a 100 question test, your grade would be 98%.

If you count 100 trees, and 97 of them were evergreen, the percentage of trees that are evergreen would be 97%.

the anwser is

Step-by-step explanation:

the anwser is 5 kg

Answer:

^Y= 26.72 + 0.0547Xi

^Y/\(_{X=3000}\)= 190.82ºF

B. It is unrealistically high.

Step-by-step explanation:

Hello!

*Full text*

The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of .05. What is wrong with this predicted value?

Chirps in 1 min.     929    854    771    1004    1201    1027

Temperature (F)     81.3    77.3    64.8    80.3    92.2    80.9

What is the regression equation?

^y= _____ + _____

(Round the x-coefficient to four decimal places as needed. Round the constant to two decimals as needed)

What is the predicted value? ^y= _____ (Round to one decimal places as needed)

What is wrong with this predicted value?

A. The first variable should have been the dependent variable

B. It is unrealistically high.

C. It is only an approximation

D. Nothing is wrong with this value

To calculate the regression equation you have to estimate the slope and the y-intercept.

^Y= a + bX

Estimate of the slope:

\(b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }\)

n= 6

∑X= 5786 ∑X²= 5691944 \(\frac{}{X}\)= 964.33

∑Y= 476.80 ∑Y²= 38277.76 \(\frac{}{Y}\)= 79.47

∑XY= 465940.4

\(b= \frac{465940.4-\frac{5786*476.80}{6} }{5691944-\frac{(5786)^2}{6} }= 0.0547\)

Estimate of the Y-intercept:

\(a= \frac{}{Y} -b*\frac{}{X}\)

\(a= 79.47 -0.0547*964.33= 26.696= 26.72\)

The estimated regression equation is:

^Y= 26.72 + 0.0547Xi

^Y/\(_{X=3000}\)= 26.72 + 0.0547*3000= 190.82ºF

At the rate of 3000 chirps per minute it is expected a temperature of 190.82ºF

As you can see it is unrealistic to think that the chirping rate of bugs will have any effect over the temperature. For what is known about bugs, they tend to be more active to higher temperatures.

Considering the value obtained, as it is incredible high, if this regression was correct, every time the chirping rate of bugs increases, the ambient temperature would rise to levels incompatible with life.

I hope this helps!

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

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Answer:

x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

This is a special example of the substitution axiom. Option 4.

Axioms are unprovable rules or first principles that are accepted as true because they are self-evident or particularly useful. It cannot exist and not exist at the same time, and is an example of an axiom in the same respect. Axiomatic truth theory is a deductive truth theory as a primitive undefined predicate.

Liars and other paradoxes require a careful selection of axioms and rules to avoid contradictions. Axioms are assumptions hypotheses generally accepted principles or self-evident truths. Most sociological theories are based on one or more unproven axioms. For example, all human behavior is rational or as in Marxism class struggle is the driving force of history.

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Disclaimer:- Your question is incomplete, please see below for the completw question.

In the following diagram, we know that DB AC. From this we can conclude that mZABD = ZCBD.

Answer:

Its 9

Step-by-step explanation:

I did this in 5th grade... All you gotta do is count and there's 4 in the bottom aka 2 rows of 4 and there's 1 block on the top its 9

4+4+1=9

4+4=8

Add a 1 etc.

Answer:

38.40

Step-by-step explanation:

If you multiply 1.60 by 24 it will get you 38.40

Answer:

15 bunches

Step-by-step explanation:

So if each bunch of lettuce costs $1.60, you can divide that by 24, which is the amount of money you have, to get 15 bunches.

\(\frac{1.60}{24}\) = 15

Answer:

350 and is not

Step-by-step explanation:

just took the test

Answer:350 and is not

Step-by-step explanation: