Chef rita is cooking for a sunday brunch. She knows that 22 pancakes can feed 8 people. she is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes. How many people can Rita feed with 55 pancakes?

Answer:

  count them: 12

Step-by-step explanation:

All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.

The total number of edges that a cuboid has is 12.

Answer:

x = 6.464 and x = -0.464

Step-by-step explanation:

3/x + 6 = x

3 + 6x/x = x

3 + 6x = x²

x² - 6x - 3 = 0

x = 6 ± √36 - 4x - 3/2 = 6 ± √36 + 12/2

x = 6 ± √48/2 = 6 ± 4√3/2 = 3 ± 2√3

So x = 3 + 2√3 and 3 - 2√3

x = 6.464 and x = -0.464

Answer:

11/20

Step-by-step explanation:

5 cents is worth $0.05.

A quarter is worth $0.25.

A dime is worth $0.10

A nickel is worth $0.05

A penny is worth $0.01

In total there are 40 coins in the jar.

The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.

Therefore, the probability of of picking a coin worth more than 5 cents is:

22 / 40 = 11/20

Answer:

b / 4

Step-by-step explanation:

If you are splitting b bumper stickers between 4 members, you must divide the number of bumper stickers by the number of members, which is 4! Dividing is just like if you were to divvy something up between people, but it is a mathematical term! This will give you  b / 4.

Answer:

y = \(\frac{5}{4} x - 7\)

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

\(\frac{-4y}{-4} =\frac{-5x +28}{-4}\)

y = \(\frac{5}{4}x -7\)

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

Answer:

The value of h would be nine

The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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Answer:

\(= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000 }{(1+\frac{15}{100})^3 }\)

\(=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}\)

\(=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76\)

Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

probability of entire face value paid = 75%

face value = 1000

probability of entire face value not paid = 25%

percent of face value paid= 60%

discount rate = 15%

years to maturity  = 3

\(= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000 }{(1+\frac{15}{100})^3 }\)

\(=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}\)

\(=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76\)

The resulting list of permutations is:

STBR, STRB, SBTR, SBRT, SRBT, SRTB, TSBR, TSRB, TBRS, TBSR, TRBS, TRSB, BSRT, BSTR, BRST, BRTS, BTSR, BTRS, RSBT, RSTB, RBST, RBT S, RTBS, RTSB.

To generate all possible permutations, we can start by placing the stepper (S) in the first position. Then, we have three choices for the second position, since we can use any of the remaining three pieces of equipment. Once we have placed one of the pieces of equipment in the second position, we have two choices for the third position, since there are only two remaining pieces of equipment. Finally, the last piece of equipment must be placed in the fourth position.

Using this technique, we can generate all possible permutations of the four pieces of equipment, starting with the stepper first. The resulting list of permutations is:

STBR, STRB, SBTR, SBRT, SRBT, SRTB, TSBR, TSRB, TBRS, TBSR, TRBS, TRSB, BSRT, BSTR, BRST, BRTS, BTSR, BTRS, RSBT, RSTB, RBST, RBT S, RTBS, RTSB.

Each of these permutations represents a different order in which Rony can use the four pieces of equipment, starting with the stepper first.

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The quotient of the given expression (x³+6x²+3x-10)÷(x+2) is x²+4x-5.

Given that, (x³+6x²+3x-10)÷(x+2).

Here,

x+2|x³+6x²+3x-10|x²+4x-5

 (-)x³(-)+2x²

_____________

         4x²+3x-10

   (-)4x²(-)+8x

_______________

               -5x-10

          (-)-5x(-1)-10

_______________.

                   0

Remainder = 0

Quotient = x²+4x-5

Therefore, the quotient of the given expression (x³+6x²+3x-10)÷(x+2) is x²+4x-5.

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Answer:

34

Step-by-step explanation:

Amount earned per hour = 17.00

Total hours worked = 40 hours

per week

Total amount earned in two weeks = 2(17.00 × 40)

= 2(680)

= 1,360

Tax = 1/4 of her paycheck

= 1/4 × 1,360

= 1,360/4

= 340

If Meredith earns a 10% raise in her hourly pay

Amount earned per hour = 10% of 17.00 + 17.00

= 0.1 × 17.00 + 17.00

= 1.7 + 17.00

= 18.7

Total hours worked = 40 hours

per week

Total amount earned in two weeks = 2(18.7 × 40)

= 2(748)

= 1,496

Tax = 1/4 of her paycheck

= 1/4 × 1,496

= 1,496/4

= 374

how much more will she pay in taxes

= 374 - 340

= 34

85 is the sample mean of the scores of ten students taken from their test

15/3 is the sample standard deviation of the scores of ten students taken from their test

Sample Standard Deviation: The sample standard deviation (s) is the square root of the sample variance and is also a measure of the spread from the expected values. In its simplest terms, it can be thought of as the average distance of the observed data from the expected values.

given ten students take a test and the scores are 80, 99, 83, 82, 100, 75, 83, 85, 71, 92

Sample mean of 80, 99, 83, 82, 100, 75, 83, 85, 71, 92 is

m= sum of observations/number of observations

sum of observations=80+99+83+82+100+75+83+85+71+92=850

number of observations=10

m=850/10=85 is the sample mean of the scores of ten students taken from their test

sample standard deviation,

s=√(assumed value-mean)²/√(number of observaionts-1)

let Assumed value be 100

s=√(100-85)²/√10-1

s= √(15)²/√9

s=15/3 is the sample standard deviation of the scores of ten students taken from their test

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The sample mean of ten students' test results, considered as a sample, is 85.

The sample standard deviation of 10 students' test scores, as determined by their scores, is 15/3.

What does "Sample Standard Deviation" mean?

Sample Standard Deviation: The sample standard deviation (s) is a measurement of the variation from the expected values and is equal to the square root of the sample variance. It can be conceptualized as the average difference between the observed data and the predicted values.

Ten pupils are given a test, and their results are as follows: 80, 99, 83, 82, 100, 75, 83, 85, 71, and 92

80, 99, 83, 82, 100, 75, 83, 85, 71, and 92 are the sample means.

m = total observations / total observations

80+99+83+82+100+75+83+85+71+92=850 is the total number of observations.

Ten observations were made.

The sample mean of ten students' test scores, calculated as m=850/10=85, is given.

sample standard deviation,

s=√(assumed value-mean)²/√(number of observaionts-1)

let Assumed value be 100

s=√(100-85)²/√10-1

s= √(15)²/√9

s=15/3 is the sample standard deviation of the scores of ten students taken from their test.

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

0.40

Step-by-step explanation:

0.04 divided by 0.10 = 0.4

Using conditional probability, it is found that there is a 0.4 = 40% probability that it stops working in less than 2 years.

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

0.1 probability of being damaged during delivery, hence \(P(A) = 0.1\).

0.04 probability of being damaged during delivery and stop working, hence \(P(A \cap B) = 0.04\)

The conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.1} = 0.4\)

0.4 = 40% probability that it stops working in less than 2 years.

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer:

this is pythagorus theorem

the height is 7,2

the distance is d

d^2 = 5^2 + 4^2

hope this helps

A motorcycle traveling at 70 miles per hour overtakes a car traveling at 40 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles.

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

The car is 120 miles away when the motorcycle starts.

The bike gains on the car at 30 mph (70-40).

It takes 4 hours for the bike to close the gap (120/30).

In 4 hours, the bike and the car are 280 miles from the starting point.

---------

4*70 = 280

7*40 = 280

Since Distance = Speed x Time, and in this case, the distances are equal, we, therefore, have: 70T = 40(T + 3)

70T = 40T + 120

30T = 120

T=4, which makes the distance that both vehicles traveled, highlight_green280miles, calculated as (70 * 4), or (40 * 7).

It also means that the motorcycle took 4 hours to travel 280 miles, and the car took 3 hours more, or 7 hours to travel the same distance.

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Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer:

12

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The time needed to get to the ground is t = 5 sec.

What is Rational function?

Any function that can be expressed as a polynomial divided by a polynomial is considered to be rational. The domain of a rational function is the set of all numbers excluding the zeros of the denominator because polynomials are defined everywhere.

Given that;

The equation for the object's height at time t sec following launch from a platform that is 80 feet tall is:

\(s(t) - 16t^{2} + 64t+80\)

After launch, we must ascertain the time it takes to reach the ground.

By entering t = 0 and the height s(0) = 80 feet in the equation (1)

S(t) will be zero when it reaches the ground, thus by setting s(t)=0 in equation (1), we get

\(0 = -16t^2+64t+80\)

⇒\(-16t^2+64t+80 =0\)

⇒\(t^2-4t-5=0\)

⇒\(t^2-5t+t-5=0\)

⇒\(t(t-5)+1(t-5)=0\)

⇒(t+1)(t-5)=0

The required time to reach the ground is t = 5 sec, disregarding negative values of t.

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You need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

To determine the score you need on exam 2 to perform as well as you did on exam 1, given the mean and standard deviation for exam 2 and the scores for exam 1, you can use the formula for z-scores.

The formula is :z = (X - μ) / σ,

where X is the score you received on exam 1, μ is the mean score for exam 1, and σ is the standard deviation for exam 1.

To find the score you need on exam 2, you can rearrange the formula as follows: X = z * σ + μ, where z is the z-score you calculated for your score on exam 1.

To calculate the z-score for your score on exam 1, you can use the formula: z = (X - μ) / σ = (87 - 79) / 4 = 2.T

o find the score you need on exam 2 to perform as well as you did on exam 1, you can substitute the values you have into the formula:

X = z * σ + μ = 2 * 6 + 60 = 72.

So, you need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

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Answer:

a you cant add if they are not the same denominator

Answer:

\(Answer: A\)

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

Hope it helps...

Have a great day!!

The length of bc is 8. The result is obtained by using the concept of conditions for similar triangles.

For two or more similar triangles, it has two conditions.

A right triangle abc with altitude bd drawn to hypotenuse ac has the length of sides as follow

Find the length of bc!

Observe the picture of triangles in the attachment! If we drawn a perpendicular line to the hypotenuse, we'll have three similar triangles.

The corresponding sides of the two triangles are

\(\frac{\overline{ac}}{\overline{bc}} = \frac{\overline{bc}}{\overline{dc}} = \frac{\overline{ab}}{\overline{bd}}\)

The length of bc is

\(({\overline{bc})^{2} = \overline{ac} \times {\overline{dc}\)

\(({\overline{bc})^{2} = 16 \times 4\)

\(({\overline{bc})^{2} = 64\)

\({\overline{bc} = \sqrt{64}\)

\({\overline{bc} = 8\)

Hence, the length side of bc on the right triangle is 8.

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The mean of a random variable X is a measure of its average value or expected value. In this exercise, we are given the probabilities associated with each possible value of X. To find the mean of X, we need to multiply each value by its corresponding probability and sum them up.

To calculate the mean of X, we multiply each value (1, 2, 3, 4) by its corresponding probability (p, 0.4, 0.25, 0.3) and sum them up:Mean of X = (1 * p) + (2 * 0.4) + (3 * 0.25) + (4 * 0.3)Simplifying the expression, we have:Mean of X = p + 0.8 + 0.75 + 1.2Combining the terms, we getMean of X = p + 2.75Therefore, the mean of X is given by the expression 2.75 + p. Hence, the correct answer is option b) 2.75 + p.

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Answer:

Female: 93/328

Adult: 103/328

Baby: 61/328

Step-by-step explanation:

71 + 93 + 103 + 61 = 328

Male: 71/328

Female: 93/328

Adult: 103/328

Baby: 61/328

Answer:

\(\displaystyle \angle A=30^\circ\)

Step-by-step explanation:

We are given that in Circle O, Arc BAC measures 300°.

Recall that arc lengths will always total 360°. Therefore:

\(\stackrel{\frown}{BAC}+\stackrel{\frown}{CB}=360^\circ\)

By substitution:

\(300+\stackrel{\frown}{CB}=360\)

Thus:

\(\stackrel{\frown}{CB}=60^\circ\)

∠A intercepts Arc CB. Since it is an inscribed angle, it will be half of its intercepted arc. In other words:

\(\angle A=\displaystyle \frac{1}{2}\stackrel{\frown}{CB}\)

Therefore:

\(\displaystyle \angle A=\frac{1}{2}(60)=30^\circ\)

the conversion, that one mile is 63360 inches.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

In daily life, people frequently utilize miles and inches as units of measurement. However, do you know how to convert miles to inches in the quickest method possible?

A standard definition of an inch states that it is equal to 1/12 of a foot or 1/36 of a yard. In use since the seventh century, this device. In 1066, when it was first used as a measurement, the length of three barleycorns was established as the standard definition of an inch.

The formula for miles to inches conversion is Inches = miles x 63360.

Hence the conversion, that one mile is 63360 inches.

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Answer:

3x+9=?

x+9/3

=3

=9+9=18

Step-by-step explanation:

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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