Mark is baking cookies for a bake sale. He needs 2 1/2 cups of flour for each batch of cookies, and he needs to make 4 1/3 batches.

How much flour does Mark need to make his cookies?

Answer:

$20.87

Step-by-step explanation:

Divide 1.03 into 21.50

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

The probability is 2/5

Step-by-step explanation:

There are 25 sections on the board

And 10 of those squares are coloured yellow

Therefore;

Probability =

\( \frac{10}{25} = \frac{2}{5} \)

Answer:

17

Step-by-step explanation:

this is the answer.

.....................................................................................

The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

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Answer:

c

Step-by-step explanation:_

  ______________________________

Answer:

4x+90°=110°[ vertically opposite angle]

4x=110°-90°

4x=20

X=20÷4

X=5

Answer:

Your percent error is 20% with the prediction of 20 cents in your piggy bank when the actual amount is 25 cents.

Step-by-step explanation:

The formula for percent error is (|predicted value - actual value|)/(actual value) * 100.

% Error = |(20 - 25)|/(25) * 100
            = (|-5|)/25 * 100
            = 5/25 * 100
            = 20%

Answer:

The percent error is 20%

Step-by-step explanation:

The formula for percent error is:

PE = |Predicted Value - Real Value| / Real Value

PE = |20 - 25| / 25 × 100

PE = |-5| / 25 × 100

PE = 5/25 × 100

PE = 20%

Answer: 4.1

Step-by-step explanation:

Is the relationship between the step number and number of squares a quadratic function.

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

In a convex n-gon where no 3 diagonals intersect at a single point, the number of intersections the diagonals determine can be calculated by using the formula (n−2)(n−3)/2

We are given a convex n-gon such that no 3 diagonals intersect at a single point. In other words, the diagonals intersect in pairs. We are required to find the number of intersections the diagonals determine.

To do that, we can use the following formula:(n−2)(n−3)/2 where n represents the number of sides of the convex n-gon.

For instance, when n = 5, we have a pentagon, and the number of intersections that the diagonals determine is:

(5−2)(5−3)/2= 6/2

= 3

Similarly, when n = 6, we have a hexagon, and the number of intersections that the diagonals determine is:

(6−2)(6−3)/2= 12/2

= 6

As n increases, the number of intersections also increases as shown below:

n=7,

(7−2)(7−3)/2 = 10

n=8,

(8−2)(8−3)/2 = 14

n=9,

(9−2)(9−3)/2 = 20

n=10,

(10−2)(10−3)/2 = 27

Therefore, the answer is given by the formula (n−2)(n−3)/2.

In conclusion, the number of intersections the diagonals determine in a convex n-gon where no 3 diagonals intersect at a single point is (n−2)(n−3)/2.

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Answer: 19,990,000 times

Step-by-step explanation: Land area of Russia = 20000000

Land area of Puerto Rico = 10000

20000000 -  10000 = 19,990,000

Answer:

4

Step-by-step explanation:

Answer:

She needs to score 78 on her next test

Step-by-step explanation:

\(\frac{78+60+82+94+88+x}{6}=80\)

Collect like terms;

\(\frac{402+x}{6}=80\)

Multiply both sides by 6;

402 + x = 480

Subtract 402 from both sides;

x = 78

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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Answer:

D) 1.23

Step-by-step explanation:

There are infinitely many numbers that are between 1.2 and 1.3 really, but given the answer choices, D is the correct one.

Answer:

See explanation

Step-by-step explanation:

So what you would need to do is take 300/10

300/10 which is 1/10 of 300, would be 30

You can also check your work by doing 30 x 10

This equals 300, so its correct.

Answer: The mean will increase and the median would not change

Step-by-step explanation:

Recorded data by Priya :

Data: 1,8,6,2,4

Mean of data = (1+8+6+2+4)/5

=21/5 = 4.2

Median of data = 1,2,4,6,8

Median = 4

Correct data: 1,18,6,2,4

Mean of data = (1+18+6+2+4)/5

=31/5 = 6.2

Median of data = 1,2,4,6,18

Median = 4

Therefore ; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.

The first four terms of the binomial series for √(√x + 1) are 1, (1/2)√x, -(1/8)x, and (1/16)√x^3.

To find the binomial series for √(√x + 1), we can use the binomial expansion formula:

(1 + x)^n = 1 + nx + (n(n-1)/2!)x^2 + (n(n-1)(n-2)/3!)x^3 + ...

In this case, we have n = 1/2 and x = √x. Let's substitute these values into the formula:

√(√x + 1) = (1 + √x)^1/2

Using the binomial expansion formula, the first four terms of the binomial series for √(√x + 1) are:

√(√x + 1) ≈ 1 + (1/2)√x - (1/8)x + (1/16)√x^3

Therefore, the first four terms of the binomial series for √(√x + 1) are 1, (1/2)√x, -(1/8)x, (1/16)√x^3.'

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Answer:

32÷35=0.9142857142857143

Answer:

decimal equivalent is .91429 (simplified)

he likely made the mistake of dividing 35 by 32 instead of the other way around

Step-by-step explanation:

to find the answer you divide 32 by 35 instead of dividing 35 by 32

The key driver for the 15-year forecasts of NOPAT (Net Operating Profit After Tax) and Operating Capital requirement in the model is D. Revenue Forecast.

The revenue forecast serves as the primary driver for estimating the future profitability of the business, as it represents the total sales or revenue generated by the company. By forecasting the revenue growth over a 15-year period, we can project the expected level of profitability.

The NOPAT is derived from the operating profit after accounting for taxes. As the revenue forecast directly influences the operating profit, it, in turn, affects the NOPAT. Higher revenue projections typically lead to higher operating profit and subsequently higher NOPAT.

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The results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.

To determine if the results support the hypothesis that meditation helps reduce stress levels, we need to perform the necessary statistical analysis. Here are the steps involved:

Step 1: Define the hypothesis:

The null hypothesis (H₀) is that there is no significant difference in stress levels between the two groups.

The alternative hypothesis (Hₐ) is that there is a significant difference in stress levels between the two groups, with meditation reducing stress.

Step 2: Identify the appropriate statistical test:

Since we are comparing the means of two independent groups and want to test if there is a significant difference, we can use an independent samples t-test.

Step 3: Set the significance level:

The significance level (α) is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of 0.05, corresponding to a 95% confidence level.

Step 4: Calculate the sample statistics:

Calculate the means, standard deviations, and sample sizes for both groups.

Group 1:

Mean (x1) = (267 + 245 + 263 + 316 + 246 + 282 + 379 + 300 + 291 + 306 + 425 + 190 + 346 + 150 + 344) / 15 = 290.2

Standard deviation (s1) = 70.764

Sample size (n1) = 15

Group 2:

Mean (x2) = (470 + 222 + 443 + 506 + 455 + 518 + 360 + 408 + 375 + 246 + 189 + 368) / 12 = 377.5

Standard deviation (s2) = 109.057

Sample size (n2) = 12

Step 5: Conduct the statistical test:

We can now perform an independent samples t-test using the sample statistics.

Step 5a: Test for equal variances:

Before conducting the t-test, we need to check if the variances of the two groups are equal. We can use a F-test to compare the variances.

Null hypothesis (H₀): The variances of the two groups are equal.

Alternative hypothesis (Hₐ): The variances of the two groups are not equal.

Using a significance level of 0.02 (98% confidence), we can calculate the F-statistic and compare it to the critical F-value from the F-distribution table.

F = s1² / s2² = 70.764² / 109.057² = 0.428 (approximately)

The critical F-value for a 98% confidence level with (n1-1) = 14 and (n2-1) = 11 degrees of freedom is 3.72.

Since our calculated F-value is smaller than the critical F-value, we fail to reject the null hypothesis. Thus, we can assume equal variances.

Step 5b: Conduct the t-test:

Since the variances are assumed to be equal, we can perform the independent samples t-test using the sample means and pooled standard deviation.

Pooled standard deviation (sp) = √(((n1 - 1) × s1² + (n2 - 1) × s2²) / (n1 + n2 - 2)) = √(((15 - 1) × 70.764² + (12 - 1) × 109.057²) / (15 + 12 - 2)) = 90.362

t = (x1 - x2) / (sp × √(1/n1 + 1/n2)) = (290.2 - 377.5) / (90.362 × √(1/15 + 1/12)) = -2.227

Degrees of freedom (df) = n1 + n2 - 2 = 15 + 12 - 2 = 25

Using the t-distribution table or a statistical software, we can find the critical t-value for a two-tailed test at a significance level of 0.05 with 25 degrees of freedom. The critical t-value is approximately ±2.060.

Since our calculated t-value (-2.227) is smaller than the critical t-value (-2.060), we reject the null hypothesis and accept the alternative hypothesis. Therefore, there is evidence to support the claim that mindfulness meditation helps reduce stress levels, with a 95% confidence level.

In conclusion, the results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.

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Step-by-step explanation:

A. A 185° angle is an obtuse angle

..................

Answer:

A 185° angle is an obtuse angle

Step-by-step explanation:

An obtuse angle is any angle that is greater than 90° and less than 180°

Therefore, a 185° angle is not obtuse

Answer:

The order that will result in a final output of 2 when the first input is 8 is as follows;

Third → Second → Fourth → First

Step-by-step explanation:

First gives;

y = -2·x + 34 = 18

Second gives;

y = -x/3 - 10 = -38/3

Third gives;

\(y =-\left | 3\cdot x \right |\) = -24

Fourth gives;

y = (x - 2)² = 36

We have after several iterations;

Third gives;

\(y =-\left | 3\cdot x \right |\) = -24

Next we input into the second to get;

y = -(-24)/3 - 10 = 24/3 - 10 = 8 - 10 = -2

Next we input into the fourth to get;

y = ((-2) - 2)² =  (-4)² = 16

Next we input into the first to get;

y = -2×16 + 34 = -32 + 34 = 2

Which gives the order as follows;

Third → Second → Fourth → First

The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

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The surface area of the cuboid is 126cm²

a cuboid is a solid shape or a three-dimensional shape. A convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid. A cuboid is also called a rectangular prism.

A cuboid has six faces. The total surface area of the cuboid is obtained by adding all the area of the faces.

SA = 2(lb+lh+bh)

SA = 2(3×5+3×6+5×6)

SA = 2( 15+18+30)

SA = 2( 63)

SA = 126cm²

therefore the surface area of the cuboid is 126cm²

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The required value of XYZ squared would be 3136 which is determined by substituting x = -2, y = 7, and z = -4.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have to evaluate xyz squared if x = -2, y = 7, and z = -4.

⇒ (xyz)²

Substitute the values of x = -2, y = 7, and z = -4 in the above expression

⇒ [(-2) × (7) × (-4)]²

Apply the multiplication operation and we get

⇒ (56)²

⇒ 3136

Therefore, the obtained value of XYZ squared would be 3136 if x = -2, y = 7, and z = -4.

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(a) The exponential rate of growth of the bacterium population is 10%. (b) The initial population of the culture, at t=0, is 985 bacteria. (c) At time t=9 hours, the culture will contain approximately 2474 bacteria.

(a) The exponential rate of growth can be determined by examining the coefficient in front of the exponential term. In this case, the coefficient is 0.1, which represents a growth rate of 10%.

(b) To find the initial population, we substitute t=0 into the given function. When t=0, the exponential term e^0 simplifies to 1. Therefore, the initial population is given by 0.17n(0) * 985 = 985.

(c) To determine the number of bacteria at time t=9 hours, we substitute t=9 into the given function. Using the formula, 0.17n(9) * 985 * e^(0.1 * 9), we can calculate the result, which is approximately 2474 bacteria.

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