At a bake sale there were 48 raisin cookies sold. If the ratio of raisin cookies sold to oatmeal cookies sold was 8:5, what is the combine amount of racing in oatmeal cookies sold?

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

The given parameters are:

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

\(l = 40 * (1 + 50\%)\)

\(l = 60\)

The length of the building's shadow (d) is then calculated as:

\(60 : 40 =d : 324\)

Express as fraction

\(\frac{60}{40}= \frac{d}{324}\)

\(1.50 = \frac{d}{324}\)

Solve for d

\(d = 1.50 * 324\)

\(d = 486\)

The distance (x) of the building from the flagpole is then calculated as:

\(x = 486 - 324\)

\(x = 162\)

Hence, the building is 162 feet from the flagpole

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Answer:

Increase the sample size.

Step-by-step explanation:

Increasing the sample size is the best way to reduce the likelihood of a type II error.

The type II error occurs when a hypothesis test accepts a false null hypothesis. That is, it fails to reject the null hypothesis that is false.

In such a situation, to increase the power of the test, you have to increase the sample size used in the test. The sampling size has the ability to detect the differences in a hypothesis test.

We have a bigger chance of capturing the difference if the sample size is larger, and it also increases the power of the test.

In the new graph, the price appears that is increase from 2002 to 2003 is 25% and 100%. Hence, option A is correct.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from.

Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the data mentioned in the question,

Average cost to rent studio in 2002 = 400 and,

Average cost to rent studio in 2003 = 500

Then percent increase from year 2002 to 2003 will be,

% increase = (500 - 400)/400 × 100

% increase = 25%

Then, % increase from 2002 to 2003 is 25%,

(200 - 100)/100 × 100 = 100%.

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The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

Wouldn't it be 86? The answer should be c

Answer:

I think its B. 65

Step-by-step explanation:

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

110

Step-by-step explanation:

nth term = 3n + 2

3 (36) + 2

108 + 2 = 110

Answer:

The 36th term in the sequence is 104.

Here's how to find it:

- Start with the first number in the sequence: 5.

- Add the common difference, which is 3, to get the second number in the sequence: 8.

- Add the common difference to the second number to get the third number: 11.

- Continue adding the common difference to each subsequent number to find the next term in the sequence.

- The 36th term is three less than 37 times the common difference added to the first term.

- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.

- Therefore, the 36th term in the sequence is 104.

Answer:

Test statistic = - 2.33

Pvalue = 0.010 (3 decimal places)

Step-by-step explanation:

Given :

H0: p = 0.25 vs Ha: p < 0.25

Phat = 0.15

Sample size, n = 102

α = 0.05

The test statistic :

(Phat - p) / (√p(1 - p) /n)

1 - p = 1 - 0.25 = 0.75

(0.15 - 0.25) / (√0.25(0.75) /102)

-0.1 / √0.0018382

-0.1 / 0.0428742

Test statistic = - 2.33

The Pvalue using the test statistic score obtained :

P(Z < - 2.33) = 0.0099031 = 0.010

Pvalue < α ; Reject H0

There are 331 ways when 66 identical coins can be separated into three nonempty piles

Let the piles have a, b and c coins, with 0<a <b <c. Then, let b=a+k₁, and

c=b+k₂, such that each ki≥1.

The sum is then a+a+k₁+a+k₁+k₂= 66 ⇒ 3a+2k₁+k₂ = 66.

This is simply the number of positive solutions to the equation

3x+2y+z = 66.

If a = 1, then 2k₁ + k₂ = 63⇒ 1≤k₁ ≤31. Each value of k₁ corresponds to a unique value of k₂, so there are 31 solutions in this case.

Similarly, if a = 2, then 2k₁+k₂= 60⇒ 1≤k₁ ≤29, for a total of 29 solutions in this case.

If a = 3, then 2k₁+ k₁= 57 ⇒ 1 ≤ k₁ ≤28, for a total of 28 solutions.

In general, the number of solutions is just all the numbers that aren't a multiple of 3, that are less than or equal to 31.

We then add our cases to get

=1+2+4+....31=1+2+3+...31-3(1+2+3+...10)

=31*(32)/2-3(55)

=31*16-165

=496-165

=331

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Answer:

A. \(\frac{24}{25}\)

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

(26 - x) square yards of orange fabric is needed.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the dimensions of the blanket is 2 yards and 13 yards.

Total area of the blanket = 2 × 13 = 26 square yards

Given that,

Jenna already has x square yards of blue fabric.

We have to calculate the square yards of orange fabric that she need to buy.

Square yards of orange fabric = 26 square yards - x square yards

                                                  = (26 - x) square yards

Hence Jenna need (26 - x) square yards of orange fabric.

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Answer:

The 3rd one

Step-by-step explanation:

Answer:

angle 8 is congruent to angles 3, 6, and 1

Step-by-step explanation:

If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

252,00 miles because you multiply 420 and 60 .

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

Answer:

for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)

for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37

im not sure but i hope it helps :)

Answer: (-1) x 2² x 3

Happy to help:)

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

it will be $.60

Step-by-step explanation:

divide 90 by 6 and get 15. multiply 4 by 15 and get 60!

4 ounces would be 0.60 cents

Answer: No Solution

Step-by-step explanation: The equation is -3x - 9 = -3x - 8, since both are the same x value but different subtraction values, which means it is no solution, not infinite solutions.

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

0.5

Step-by-step explanation:

j

Answer:

2 laps Not 100 percent sure

Step-by-step explanation:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give, never gonna give

(Give you up)

(Ooh) Never gonna give, never gonna give

(Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

The amount of space each student will occupy is 0.25 square meters of space in the classroom.

To find the amount of space each student will occupy,

We need to first subtract the area taken up by the teacher's table and shelves from the total area of the classroom.

Then we can divide the remaining area by the number of students.

Let's say the total area of the classroom is A.

Then we have:

A - 350 ( the area available for students)

If each student occupies an area of x, then we have:

40x = A - 350

Substituting the first equation into the second equation, we get:

40x = (A - 350)

We can solve for x by dividing both sides by 40:

x = (A - 350) / 40

We know that there are 40 students, so we can substitute that into the equation:

x = (A - 350) / 40 = (360 - 350) / 40 = 0.25

Therefore, each student will occupy 0.25 square meters of space in the classroom.

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~nightmare5474~

\(2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} \)

let's convert each mixed fraction into improper fractions. Therefore,

Improper fractions are fractions that has the numerator bigger than the denominator.

\(2\frac{2}{3} = \frac{8}{3} \)

\(3\frac{1}{3} = \frac{10}{3} \)

\(1\frac{2}{3} = \frac{5}{3} \)

Therefore,

\(\frac{8}{3} + \frac{10}{3} + \frac{5}{3} \)

\( \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} \)

Let's convert our answer back to mixed fractions

\(\frac{23}{3} = 7\frac{2}{3} \)

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Answer:

Step-by-step explanation:

sec²θ-6 = -4

sec²θ = 2

1/cos²θ = 2

cos²θ = ½

cosθ = ±1/√2 = ±√2/2

θ = π/4, 3π/4, 5π/4, 7π/4

Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?