About 1/6 of a fruit punch is pineapple juice. About 1/9 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice.

Answer:

Step-by-step explanation:

A

Given that function f is defined and continuous on the closed interval [a,b], the correct statements are:

From the case we know that:

function f is on the closed interval [a,b]

c = relative maximum

A function reach its relative maximum when its first derivative function is equal to zero (0). Since c is the relative maximum of function f, then:

f'(c) = 0

The third statement is wrong because when c is the relative maximum point, then its second derivative function must be lower than zero (0), or:

f''(c) < 0

When the second derivative function is greater than zero (0), it indicates that the given critical point is the relative minimum.

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Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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Answer:

13 is richard

Step-by-step explanation:

Answer:

10 sweets.

Step-by-step explanation:

So all of them share the sweets in a ratio of 4:2:3. Since Gavyn gets 10 more sweets than Stephen, and the ratio of Gavyn's sweets to Stephens sweets is 4:3, which means that x=10. To clarify, a ratio can be written as 4x:3x, so x=10. So now you do Richards ratio (2x) and you just plug in x and you get 20. So Richard gets 20 sweets.

8/8 6/8 so your going to take 2 from 8/8 so that would be 6/8

The expected returns is 33.7% and the standard deviations of returns is 38.73%.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.

Now given probabilities are,

probabilities P = 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15

Given returns on the probabilities,

returns r = 50%, 39%, -4%, 20%, -25%, and 42%

So, Expected rate of returns = ∑Pr

⇒ Expected rate of returns = 0.15(50) + 0.34(39) + 0.44(-4) + 0.67(20) + 0.2(-25) + 0.15(42)

⇒ Expected rate of returns = 7.5 + 13.26 - 1.76 + 13.4 - 5 + 6.3

⇒ Expected rate of returns = 33.7%

Now standard deviation S is,

Square root of the difference squared between each value and the mean, multiplied by the probability.

S = √{0.15(50 - 33.7)² + 0.34(39 - 33.7)² + 0.44(-4 - 33.7)² + 0.67(20 - 33.7)² + 0.2(-25 - 33.7)² + 0.15(42 - 33.7)²}

⇒ S  = √{0.15(16.3)² + 0.34(5.3)² + 0.44(-37.7)² + 0.67( - 13.7)² + 0.2(-58.7)² + 0.15(8.3)²}

⇒ S  = √{0.15(265.69)+ 0.34(28.09) + 0.44(1421.29) + 0.67( - 187.69) + 0.2(3445.69)²\ + 0.15(68.89)}

⇒ S  = √{39.85 + 9.55 + 625.36 + 125.75 + 689.13 + 10.33}

⇒ S  = √{1499.97}

⇒ S  = 38.73%

Thus, the expected returns is 33.7% and the standard deviations of returns is 38.73%.

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The correct piece of aluminum with correct length and width in cm., that

makes the volume of the cylinder maximum.

Reasons:

When the perimeter of the rectangle is 21 cm., we have;

2·l  +  2·w = 21 cm

Where, represents the length of the rectangle and w represents the width of the rectangle.

Which gives;

\(\displaystyle l = \frac{21 - 2\cdot w}{2} = \mathbf{10.5 -w}\)

The volume of the cylinder = π·r²·w

Where;

2·π·r = l

\(\displaystyle r = \frac{l}{2 \cdot \pi} = \mathbf{\frac{10.5 - w}{2 \cdot \pi}}\)

Which gives;

\(\displaystyle V = \pi \cdot r^2 \cdot w = \pi \times \left(\frac{10.5 - w}{2 \cdot \pi}\right)^2 \times w = \mathbf{ \frac{w^3-21 \cdot w^2 + 110.25 \cdot w}{4 \cdot \pi}}\)

At maximum volume, we have;

\(\displaystyle V' = \frac{d}{dw} \left( \displaystyle \frac{w^3-21 \cdot w^2 + 110.25 \cdot w}{4 \cdot \pi} \right) = \mathbf{\frac{0.75 \cdot w^2- 10.5 \cdot w + 27.5625}{\pi}} = 0\)

Which, by using a graphing calculator, gives;

(w - 3.5)·(w - 10.5)·0.75 = 0

w = 3.5 or 10.5

At w = 10.5, we have, l = 10.5 - w = 10.5 - 10.5 = 0

Therefore, the possible width is; w = 3.5

∴ The length, l = 10.5 - 3.5 = 7

The correct option is;

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Answer:

173.55

Step-by-step explanation:

or if you round 174

The probability that a flight departed on time given that it arrives is 0.92

The conditional probability of event B occurring giving that event A has occurred is expressed as

P(B|A) = P(A and B)/P(A)

Given the following parameters

P(A and B) = The probability that a flight departs and arrives on time = 0.84

P(A) = The probability that an airplane flight departs on time = 0.91

P(B | A) = 0.84/0.91
P(B | A) = 0.92

Hence the probability that a flight departed on time given that it arrives is 0.92

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Answer:

40ft

Step-by-step explanation:

The volume of a square pyramid is given by:

\(V=\frac{l^2h}{3}\)

where V is the volume, l is the length of the square base, and h is the height.

Since we need to find the length, we solve for \(l\) in the last equation:

\(l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }\)

and now, we substitute the known values:

\(V=19,200ft^3\\h=36ft\)

and we get the following:

\(l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft\)

the length of the square base is 40ft

y = 10x + 50 is the linear function to model the relationship between the number of hours (x) and the total cost (y)

The general form of a linear function:

y = mx + c,

where m is the slope of the line and c is the y-intercept (or the starting point)

Given that: A person can join The Fitness Center for $50. A member can rent the tennis ball machine for $10 an hour

Also, the number of hours the machine is rented (x) and the total cost (y)

From the given information, c = 50, m = 10

Substitute c = 50 and m = 10 into y = mx + c:

y = 10x + 50

Therefore, the linear function to model the relationship between the number of hours the machine is rented (x) and the total cost (y) is y = 10x + 50

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Answer:

About 770 giraffes

Step-by-step explanation:

457+315=772

The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545

\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)

                        = 1 - 0.8997

                        = 0.1003

                        = 10.03%

Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

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Answer:

44

Step-by-step explanation:

Answer:

x=44

Step-by-step explanation:

22÷0.5=?

22x2=44

Answer:

P = 0.309

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B because you are flipping the -4 5/6.
Hope this helps! :)

Answer:

False a=b

Step-by-step explanation:

The probability that selected team includes more women then men is \(\frac{Σ^{8} _{n=5} (^{10} _{n} )(^{9} _{9-n} )}{(^{19} _{9} ) - (^{10} _{9} ) - (^{9} _{9} )}\)

The likelihood that the selected team contains more women than males matches the probability that the team contains 5, 6, 7, or 8 women (there would therefore be 4, 3, 2, or 1 man in the squad, respectively).

The likelihood of there being 5 women on the team is equal to

\(\frac{(^{10} _{5} )(^{9} _{4} )}{(^{19} _{9} ) - (^{10} _{9} ) - (^{9} _{9} )}\)

Since, we can choose 5 women out of 10 in \((^{10} _{5} )\) ways, 4 men out of 9 in \((^{9} _{4} )\) ways, and 9 persons out of 19 in \((^{19} _{9})\) - \((^{10} _{9})\) - \((^{9} _{9})\) ways (we must reject the possibility of having all men ( \((^{9} _{9})\) ways) or all women ( \((^{10} _{9})\) ways) because it is a must).

Similarly, we compute the odds of having 6, 7, or 8 women on the team, and because these are disjoint alternatives, the final result is the total of their probabilities, which is

\(\frac{Σ^{8} _{n=5} (^{10} _{n} )(^{9} _{9-n} )}{(^{19} _{9} ) - (^{10} _{9} ) - (^{9} _{9} )}\)

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The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

14

Step-by-step explanation:

the answer for this question is 14

Answer:

14 kiligrams

Step-by-step explanation:

Answer:

-1 is part of integer numbers

Step-by-step explanation:

Because its a whole number and it has an additive inverse (which is +/-).

Answer:

C is the answer, please choose the letter C that's the answer

Answer:

Gabriella will make $61 more than Mila after 5 years

Step-by-step explanation:

Gabriella Data

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded continuously

Time t = 5 years

The formula used is: \(A=Pe^{rt}\)

Putting values and finding A

\(A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814\)

So, After 5 years Gabriella will have $84814

Mila Data:

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded quarterly n = 4

Time t = 5 years

The formula used is:\(A=P(1+\frac{r}{n})^{nt}\)

Putting values and finding A

\(A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753\)

So, After 5 years Mila will have $84753

Now subtracting to find the difference 84814-84753 = 61

So, Gabriella will make $61 more than Mila after 5 years

Answer:

80.4 square units.

Step-by-step explanation:

solution Given:

apothem(a)=5

no of side(n)= 12

Area(A)-?

The area of a regular polygon can be found using the following formula:

\(\boxed{\bold{Area =\frac{1}{2}* n * s * a}}\)

where:

In this case, we have:

First, we need to find S.

We can find the length of one side using the following formula:

\(\boxed{\bold{s = 2 * a * tan(\frac{\pi}{n})}}\)

substituting value:

\(\bold{s = 2 * 5 * tan(\frac{\pi}{12})=2.679}\)   here π is 180°

To find the area substituting value in the above area's formula:

\(\bold{Area = \frac{1}{2}* 12 * 2.679 * 5=80.37\: sqaure\: units}\)

in nearest tenth 80.4 square units.

Therefore, the area of the regular polygon is 80.4 square units.

Answer:

80.4 square units (nearest tenth)

Step-by-step explanation:

The given diagram shows a regular dodecagon (12-sided polygon) with an apothem of 5 units.

The apothem of a regular polygon is the distance from the center of the polygon to the midpoint of one of its sides.

We can calculate the side length of a regular polygon given its apothem using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Apothem of a regular polygon}\\\\$a=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\where:\\\phantom{ww}$\bullet$ $s$ is the side length.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute n = 12 and a = 5 into the equation to create an expression for s:

\(5=\dfrac{s}{2 \tan \left(\dfrac{180^{\circ}}{12}\right)}\)

\(s=10\tan \left(15^{\circ}\right)\)

Now we can use the standard formula for an area of a regular polygon:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\cdot s\cdot a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute the found expression for s, n = 12 and a = 5 into the formula and solve for A:

\(A=\dfrac{12 \cdot 10\tan \left(15^{\circ}\right) \cdot 5}{2}\)

\(A=\dfrac{600\tan \left(15^{\circ}\right)}{2}\)

\(A=300\tan \left(15^{\circ}\right)\)

\(A=80.3847577...\)

\(A=80.4\; \sf square\;units\;(nearest\;tenth)\)

Therefore, the area of a regular dodecagon with an apothem of 5 units is 80.4 square units, rounded to the nearest tenth.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)

Answer:3.71 miles

Step-by-step explanation:

The value of the expression; 6 × 10 + 4³ as given in the task content is; 124.

It follows from the task content that the value of the expression given in the task content; 6 × 10 + 4³ is to be determined.

Hence, the value of the expression can be evaluated using PEMDAS guidelines as follows;

Since the given expression is;

6 × 10 + 4³

Since the exponent, so that we have;

6 × 10 + 64

Next, solve the multiplication, so that we have;

60 + 64

= 124.

On this note, the value of the expression is; 124.

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Answer:

wwwwwwwwwwwwwwwwwww

Answer:

Less than 1

1/2=6/12

6/12+5/12=11/12

11/12<1

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