A one batch recipe of muffins makes a dozen muffins. it requires 2 eggs, two
cups of flour, and a 1\4 pound of sugar. There are 454 grams of sugar in a pound.
How many grams of sugar are in a muffin? **

Answer:

$126.00

Step-by-step explanation:

The Hershey bars were purchased for $6 per dozen. There are 12 bars per dozen. First, find the cost per bar.

cost / bar

$6 / 12 bars

$0.50 / bar

Next, find the profit on one bar. The bars costs $0.50 each and are being sold for $1.25. The profit will be the difference between the two numbers.

$1.25 - $0.50

$0.75

Finally, find the profit on 14 dozen bars.

There are 168 bars in 14 dozen. ( 12 per dozen, 14 dozen, 12*14= 168).

Multiply the profit of one bar ($0.75) by 168.

168 *$ 0.75

$126

The profit on 14 dozen Hershey bars is $126.00

Answer:

x=6

Step-by-step explanation:

subtract the 2x from 4x and add 3 to 9. we would get 2x=12. divide by 2 on both sides and you get x=6!

Answer:

Diffrent between altitude = 14,021 ft

Step-by-step explanation:

Given:

Heighest altitude = 14,309 ft

Lowest altitude = 288 ft

Find:

Diffrent between altitude

Computation:

Diffrent between altitude = Heighest altitude - Lowest altitude

Diffrent between altitude = 14,309 - 288

Diffrent between altitude = 14,021 ft

Step-by-step explanation:

see the attachment......

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We are given that:

[tex]CB=2x+5[/tex]

And that DE = 10. We want to determine the value of x.

Note that CB is the sum of CD and DB. In other words:

[tex]CB=CD+DB[/tex]

Similarly, DE is the sum of DB and BE. Thus:

[tex]DE=DB+BE[/tex]

From the second equation, we can subtract BE from both sides:

[tex]DE-BE=DB[/tex]

Substitute this into the first equation:

[tex]CB=CD+(DE-BE)[/tex]

We are given that CB is 2x + 5 and DE is 10.

From the diagram, we can also see that CD is 3x - 1 and BE is 8.

Substitute:

[tex](2x+5)=(3x-1)+((10)-(8))[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}[/tex]

In conclusion, the value of x is 4.

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

As we know that the formula for calculating the final amount or maturity amount is given by;

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

               = $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.

Answer:

Mr. Grote: 29, Ms. Maitner: 45

Step-by-step explanation:

x = number of points Mr. Grote scored

x + 16 = number of points Ms. Maitner scored

x + x + 16 = 74

x + x = 58

2x = 58

x = 29

29 + 16 = 45

Answer:

DIstrict 241 had 4 snow days.

Step-by-step explanation:

5 * 5 = 25

Add the ones you know

4 + 8 + 3 + 6 = 21

Then

25 - 21 = 4

So District 241 had 4 snow days.

I know this answer is 100% correct. I answered it correctly. This problem wasn't that hard. Let me know if you need help with anything else.

The number of snow days of District 241 are 4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have to find the number of snow days of District 241

School District   District201    District211  District221  District231  District 241

Number of                      4               8                  3                  6                 ?

snow days

Mean of snow days is 5.

Mean =Sum of observations/Number of observations

5=4+8+3+6+x/5

25=21+x

Subtract 21 from both sides

x=4

Hence, the number of snow days of District 241 are 4.

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Answer:

113cm²

Step-by-step explanation:

Area = 4 π r²

= 4 * 3.142 * 3²

= 113.112 cm²

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let [tex]\mu[/tex] = population mean.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 100      {means that the population mean is equal to 100}  

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 100     {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = 98  

            s = sample standard deviation = 20

             n = sample size = 400

So, the test statistics =  [tex]\frac{98-100}{\frac{20}{\sqrt{400} } }[/tex]   ~  [tex]t_3_9_9[/tex]

                                     =  -2  

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

                 P([tex]t_3_9_9[/tex] < -2) = 0.0234   {using the t-table}

Answer:

h=5

Step-by-step explanation:

h/8+12=52

12 dollars is what he originally starts with so it would be added with h.

Now, subtract 12 dollars from the 52 he wnats to end the day with.

52-12=40

Now take 40 and divide it 8

h=40/8

h=5

Hope that helps :)

Answer:

the answer is x=15 cm

Step-by-step explanation:

here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm

Now,

AC=BD

or, 3x-20 = x+10 [ diagonals of a rectangle are equal]

or, 2x = 30

or, x= 15 cm

I HOPE IT WILL HELP YOU!!!

Answer:

Option D is the correct option.

Step-by-step explanation:

Given,

[tex] \sf{f(x) = - 2x + 5}[/tex]

To find : f ( - 3 )

Let's find:

[tex] \sf{f( - 3) = - 2 \times ( - 3) + 5}[/tex]

Calculate the product

[tex] \sf{ = 6 + 5}[/tex]

Add the numbers

[tex] \sf{ = 11}[/tex]

Hope I helped!

Best regards!!

Answer: f(-3) = 11

Step-by-step explanation: Here we're given the function

f(x) = -2x + 5 and we're asked to find f(-3).

In other words, if we put an x into our function, we get a -2x + 5 out.

So what happens when we put a -3 into the function?

Well if we put a -3 into the function,

that's f(-3), we get a -2(-3) + 5 out.

Now all we have to do is simplify on the right side,

-2(-3) is 6, so we have 6 + 5 which is 11.

So f(-3) is 11.

Answer:

C. [tex] \frac{6}{5} [/tex]

Step-by-step explanation:

The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.

Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as [tex] \frac{42}{35} [/tex]

The scale factor = [tex] \frac{42}{35} = \frac{6*7}{5*7} = \frac{6}{5} [/tex]

Answer:  D

Step-by-step explanation:

It is D  because using the   equation  y=3x +3.25   you can see that the y intercept is 3.25   which means in zero years the child will weigh 3.25  or weighs 3.25 kg at birth.

Answer:

[tex]\large\boxed{x=14}[/tex]

Step-by-step explanation:

Because the angles are adjacent to each other and form a straight line, they are supplementary angles. Supplementary angles add up to 180 degrees, therefore, you can add the two angle measures together and set them equal to 180.

(7x - 1) + (6x - 1) = 180 combine like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide by 13 on both sides

[tex]\boxed{x=14}[/tex]

Answer:

Step-by-step explanation:

Since the two angles lie on a straight line the sum of their angles is equal to 180°.

To find x add up the two angles and equate it to 180° and solve for x

That's

7x - 1 + 6x - 1 = 180

13x - 2 = 180°

Move 2 to the right side of the equation

That's

13x = 180 + 2

13x = 182

Divide both sides by 13

That's

[tex] \frac{13x}{13} = \frac{182}{13} [/tex]

We have the final answer as

Hope this helps you

Answer:

2640 feet per minute

Step-by-step explanation:

.

Answer:

a i think

Step-by-step explanation:

Answer:

(B) It decreases

Step-by-step explanation:

I figured this out with basic logic, but we can use proof to find it out.

If we have [tex]35+k[/tex], we can assume that k is around 10.

So [tex]35+10=45[/tex].

Now let's decrease k by 1, making k=9.

[tex]35+9=44[/tex]

We can see that the value is decreasing, but let's try one more.

Let's make k=8.

[tex]35+8=43[/tex]

So we can see the general pattern here is that it's decreasing.

Hope this helped!

Answer:

Step-by-step explanation:

Considering that the question is a fun riddle, I will give a suitable fun answer.

The question says that the son goes to school, so we can assume that the boy is a young child. So, he is probably short.

So, while getting down the stairs, it is easy for him to press the button in the elevator to reach the ground floor as the button for ground floor is the on the bottom of the switch panel.

However, since he is short he cannot reach the button for the 10th floor after returning from school. He can only reach up to the button for the 5th floor. So, he travels up to the 5th floor by the elevator and from there he takes the stairs to reach the 10th floor.

Answer:

0.6

Step-by-step explanation:

In the question, we are told that:

The probability that John gets a B is 0.3 .

The probability that Mary gets a B is 0.4 .

The probability that neither gets an A but at least one gets a B is 0.1

The probability that at least one gets a B but neither gets a C

=( The probability that John gets a B ) +( The probability that Mary gets a B )- (The probability that neither gets an A but at least one gets a B is 0.1

= 0.3 + 0.4 - 0.1

= 0.7 - 0.1

= 0.6

Therefore, the probability that at least one gets a B but neither gets a C is 0.6

Step-by-step explanation:

Terminating decimals: these have a finite number of digits after the decimal point.

Example: 9.5

Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

Example: 0.333333...

Answer:

1) 14 by 21

2)7

Step-by-step explanation:

i Dint do the complete work i am not sure.

The side lengths of the scaled copy would be 14 by 21 and If you want to scale the copy back to its original size then you should use a scale factor that would be 1/7.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7 which is given in the question.

As we know scale factor is the ratio of sides in the original image and the image after dilation.

So the side lengths of the scaled copy would be 14 by 21

If you want to scale the copy back to its original size

Therefore, you should use a scale factor that would be 1/7.

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Answer:

width of the confidence interval decreases if the sample size is increased to 20.

Step-by-step explanation:

There are some factors which affect the width of the confidence interval such as:

The decrease in the sample standard deviation decreases the width of the interval .

The decrease the confidence level decreases the width of the interval .

The increase in the sample size decreases the width of the interval .

In the given question the previous sample size was 10 which was then increased to 20. So this increase in sample size causes the confidence interval to decrease. This is because when sample size increases, it decreases the standard error. This interprets that the sample size is getting closer to true population size.

Answer:

42÷(-6). 42÷(-7).

Step-by-step explanation:

Is this what you want?

Answer:

Step-by-step explanation:

The Bessel function or order zero of the first kind may be defined by the solution - to Bessel's differential equation - which is a finite value at the origin X=0 for positive or negative whole numbers (integers) or positive alpha (α) values.

Answer:

D. 2

Step-by-step explanation:

(1 - -5)/(4 - 1) = 6/3 = 2

Answer: 2

Step-by-step explanation:

The slope of a line through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁). In this case, x₁ = 1, y₁ = -5, x₂ = 4, and y₂ = 1. So the slope is:

(1 - (-5))/(4 - 1) = 6/3 = 2

Answer:

EF + FG = EG   Plug in the given values

4x + 15 + 39 = 110   Combine like terms (15 and 39)

      4x + 54 = 110   Subtract 54 from both sides

               4x = 56   Divide both sides by 4

                 x = 14

Answer:

-5

Step-by-step explanation:

the slope is the variable in front of the x

|0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

To find the standardized test statistic (z) to test the hypothesis that p₁ = p₂, where p₁ and p₂ are the proportions of success in two independent samples, we can use the following formula:

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

where:

p₁ and p₂ are the sample proportions of success in the two samples.

p = (x₁ + x₂) / (n₁ + n₂) is the pooled proportion of success in both samples.

n₁ and n₂ are the sample sizes of the two samples.

x₁ and x₂ are the number of successes in the two samples.

Given the sample statistics:

n₁ = 50, x₁ = 35 (sample 1)

n₂= 60, x₂ = 40 (sample 2)

First, calculate the pooled proportion (p):

p = (x₁ + x₂) / (n₁ + n₂)

p = (35 + 40) / (50 + 60)

p = 75 / 110

p ≈ 0.6818

Now, calculate the standardized test statistic (z):

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

z = (35/50 - 40/60) / √(0.6818 * (1 - 0.6818) * ((1/50) + (1/60)))

z = (0.7 - 0.6667) / √(0.6818 * 0.3182 * (0.02 + 0.0167))

z = 0.0333 / √(0.1456 * 0.0367)

z = 0.0333 / √(0.00534272)

z = 0.0333 / 0.073068

z ≈ 0.4552

Now, compare the standardized test statistic (z) with the critical value at α = 0.05. Since this is a two-tailed test, the critical value is approximately ±1.96 (at a 5% significance level).

Since |0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

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Assuming you meant to say P(A) = 2/5 and P(B|A) = 9/20, then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (2/5)*(9/20)

P(A∩B) = (2*9)/(5*20)

P(A∩B) = (2*9)/(5*2*10)

P(A∩B) = 9/(5*10)

The required probability P( A ∩ B ) = 2300.

To find the missing probability. P( A ) = 25, P( B | A ) = 920, P( A∩ B) = ?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

From properties of probability
P( A ∩ B ) / P(A) = P( B | A )
P( A ∩ B) = P( B | A ) .  P(A)
From given
P( A ) = 25, P( B | A ) = 920
P( A ∩ B ) = P( B | A ) .  P(A)
P( A ∩ B ) = 920 . 25
P( A ∩ B ) = 2300

Thus, the required probability P( A ∩ B ) = 2300 for P( A ) = 25, P( B | A ) = 920.

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