A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
make a pie and a jar of applesauce. Yesterday, the farm picked 268 Granny Smith apples and 98 Golden
Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?
Needed for pie : 9 and 3
Needed for apple sauce : 4 and 2

Answer:

141,243

Step-by-step explanation:

1. Use PEMDAS

(300)(470) - 78 + 344 - 23 (Do muti first)

141,000 - 78 + 344 - 23 (You can do any order now)

141,243

Answer:[tex]4x^{3}[/tex][tex]\sqrt[3]{25x^{2} }[/tex]

Step-by-step explanation:

Answer:

a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) 0.064 = 6.4% probability that 7 of them are discovered.

Step-by-step explanation:

For itens a and b, we use conditional probability.

For item c, we use the binomial distribution along with the conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a) If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator

Event B: Not located.

Probability of having an emergency locator:

66% of 72%(Are discovered).

20% of 100 - 72 = 28%(not discovered). So

[tex]P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312[/tex]

Probability of having an emergency locator and not being discovered:

20% of 28%. So

[tex]P(A cap B) = 0.2*0.28 = 0.056[/tex]

Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105[/tex]

0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) If it does not have an emergency locator, what is the probability that it will be discovered?

Probability of not having an emergency locator:

0.5312 of having. So

[tex]P(A) = 1 - 0.5312 = 0.4688[/tex]

Probability of not having an emergency locator and being discovered:

34% of 72%. So

[tex]P(A \cap B) = 0.34*0.72 = 0.2448[/tex]

Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522[/tex]

0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

p is the probability of being discovered with the emergency recorder:

0.5312 probability of having the emergency recorder.

Probability of having the emergency recorder and being located:

66% of 72%. So

[tex]P(A \cap B) = 0.66*0.72 = 0.4752[/tex]

Probability of being discovered, given that it has the emergency recorder:

[tex]p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946[/tex]

This question asks for P(X = 7) when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064[/tex]

0.064 = 6.4% probability that 7 of them are discovered.

Answer:

The disadvantages: Convenience samples do not produce representative results. If you need to extrapolate to the target population, convenience samples aren't going to get you there. ... Much larger convenience samples are not more accurate than small probability samples.

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and  is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)

y-9=-8x%2B%28-8%29%28-6%29 Distribute -8

y-9=-8x%2B48 Multiply -8 and -6 to get 48

y=-8x%2B48%2B9 Add 9 to both sides to isolate y

y=-8x%2B57 Combine like terms 48 and 9 to get 57

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

Answer:

So the equation of the line with a slope of -8 which goes through the point (6,9) is:

y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57

Answer:

2) $25

3) $-110

4) $-50

Step-by-step explanation:

Answer:

See Explanation for proofs

Step-by-step explanation:

Given

See attachment for complete question

Solving (a):

[tex]\frac{\sqrt{2}}{2}[/tex] is irrational

[tex]\sqrt{2} =1.41421356237.....[/tex]

So, we have:

[tex]\frac{\sqrt{2}}{2} = \frac{1.41421356237.....}{2}[/tex]

[tex]\frac{\sqrt{2}}{2} = 0.70710678118....[/tex]

[tex]0.70710678118....[/tex] can not be represented as a fraction of whole numbers.

Hence:

[tex]\frac{\sqrt{2}}{2}[/tex] is irrational

Solving (b):

[tex]\sqrt{2} -2[/tex] is irrational

[tex]\sqrt{2} =1.41421356237.....[/tex]

So, we have:

[tex]\sqrt{2} -2 = 1.41421356237..... - 2[/tex]

[tex]\sqrt{2} -2 = -0.58578643763.....[/tex]

[tex]-0.58578643763.....[/tex] can not be represented as a fraction of whole numbers.

Hence:

[tex]\sqrt{2} -2[/tex] is irrational

Solving (c):

The sum of two positive irrational number is always irrational

Proof Below

If a is irrational and b is also irrational,

then

[tex]a + b = irrational[/tex]

Take for instance:

[tex]a = \sqrt{2[/tex]

[tex]b = \sqrt{8[/tex]

[tex]a + b = \sqrt{2} + \sqrt{8[/tex]

[tex]a + b = \sqrt{2} + \sqrt{4*2[/tex]

[tex]a + b = \sqrt{2} + \sqrt{4}*\sqrt{2[/tex]

[tex]a + b = \sqrt{2} + 2\sqrt{2[/tex]

[tex]a + b = 3\sqrt{2[/tex]

[tex]3\sqrt{2[/tex] is irrational and this is true for the sum of every positive irrational numbers

Answer:

12.4

Step-by-step explanation:

just multiply, or search go.ogle

0.2 * 62 = 12.4

easy

Answer:

250

Step-by-step explanation:

52%-> 130

100%-> 250

Answer:

See below.

Step-by-step explanation:

I've never seen one asked quite this way, but I think I have it figured out.

The objective here is to get the right answer for each square. The answer is either the one next to the 'x', which means you put an 'x' in the tic-tac-toe square or the answer is the one next to the 'O', which means you put an 'O' in the tic-tac-toe square.

I will number them boxes 1-3 on the top row, 4-6 for the next, and 7-9 for the bottom row.

Box 1: In a fraction, you subtract the bottom exponent from the top exponent, so the proper exponent is 10 - 2 = 8. That is an O for g^8.

Box 2: A power raised to a power - multiply the exponents. 2*6=12. That is an X for m^12 for box 2.

Box 3: for multiplying the same base, you add the exponents. 4+5=9. That gives us y^9, which is a X for box 3.

Box 4: j is a factor four times, so that is j^4. That puts an O in Box 4.

Box 5: In a fraction, you subtract the bottom exponent from the top exponent, so we get -2 - (-6) = -2 + 6 = 4. The correct expression is h^4, so we have an X for box 5.

Box 6: A power to a power, you multiply the exponents so the first part becomes m^8. Now we have m^8 * m^5. For multiplying the same base, you add the exponents. 8+5=13. That gives us m^13, which puts an O in box 6.

Box 7: The top is a power to a power so we multiply the exponents. 4*5=20. The top is b^20.

On the bottom, for multiplying the same base, you add the exponents. 2+3=5, so the bottom is b^5.

Now we have a fraction, (b^20)/(b^5). In a fraction, you subtract the bottom exponent from the top exponent, so we have 20 - 5 = 15, and thus b^15. That gives us an X for box 7.

Box 8: A fraction IS a division, so we do divisons and fractions the same way. The p^3 on the left is the top (numerator) and the p^2 part is the bottom (denominator). So 3-2=1. But P^1 is just P, so we have an O for box 8.

Box 9: For the numerator, it is a power to a power so we multiply the exponents and get k^12.

For the denominator, we are multiplying the same base, so you add the exponents. 7 + (-5) = 2, and we get k^2 for the denominator

Now we have the fraction of k^12 OVER k^2.  In a fraction, you subtract the bottom exponent from the top exponent. 12-2=10. We get k^10, giving us an X for box 9.

So here is what we get for tic-tac-toe.

0   X   X

O   X   0

X   O   X

We get 3 in a row in boxes 3, 5, and 7. The exponents in those problems are 9, 4, and 15 respectively. The product of thse 3 numbers is 540.

This was a LOT of steps, so I encourage you to check every little multiplication and addition I did.

Hope this helps.

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Multiply 2*4 which is 8 then divide 8 by 2 and get 4 and divide 100/10 and get 10.Then multiply 10 by 4 and get 40.

Answer:

[tex]\displaystyle d = 2\sqrt{97}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (5, -6)

Point (-3, 12)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

10x^3

Step-by-step explanation:

7+3=10

10x^2

easy

¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años

Answer:

t>12

Step-by-step explanation:

t>180/15

then divide 180 by 15

and you gey t>12

The value of the given inequality is t> 12

inequality, In mathematics, a statement of an order relationship-greater than, greater than or equal to, less than, or less than or equal to-between two relation,

We have,

15t>180

According to the question

15t>180

t>180/15

then divide 180 by 15

and you will get t>12

Hence, the value of this inequality is t>12

To learn more about inequalities here

brainly.com/question/20383699

#SPJ2

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Financials.

Hence,according to the statement given above, the correct answer is

option 1.)

===> Manipulating interest rates and acting as a lender to the banks.

Answer:

32.68346° or 32.7

Step-by-step explanation:

Step-by-step explanation:

58 i think....................

Answer:

Ignore my handwriting and your answer is 58;)

Answer:

You Need To add a picture

Step-by-step explanation:

But if the decimal is before a number and has a line then its repeating if not its nonrepeating

Answer:

Step-by-step explanation:

Can u help me too

Answer:

x < -50

Step-by-step explanation:

Answer:

x < -50

Step-by-step explanation:

Answer:

An acute triangle

Step-by-step explanation:

A triangle that is 47°

Answer: 10,000 x 0.05 = $500

0.05 is equal to 5%

$500

Please brainlyist

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

[tex]k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft[/tex]

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

[tex]W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft[/tex]

Therefore, the work done in stretching the spring is 8 lb.ft

Answer:

x = -3/89

Step-by-step explanation: