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slamgirl [31]
3 years ago
5

Louisa makes 4 identical cheesecakes and cuts each one into 8 equal slices. . She gives 5 slices to her mum, 4 slices to her dad

and 2 slices to her brother ! How many cheesecakes does she left ? Give your answer as a mixed number .
Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0
If she cut the 4 cheesecakes into 8 even slices then there are 32 slices all together. she gave away 11 slices leaving her with 21. your answer as a mixed number will be 2(5/8)
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If Joe had 453 sweets and Patricia Stole 2/3 off of him how many sweets does Joe have left..??
dalvyx [7]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Divide by the denominator:

453/3 = 151

Multiply by the numerator:

151 x 2 = 302

Subtract this from the original number:

453 - 302 = 151

He has 151 sweets left

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
Read 2 more answers
A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked d
Dmitriy789 [7]

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

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

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that n = 25

The chance for a procedural error is 10%

This means that p = 0.1

What is the probability that the manager finds more than two such transactions?

This is:

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)

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

P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718

P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994

P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629

0.4629 = 46.29% probability that the manager finds more than two such transactions

4 0
3 years ago
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
4 years ago
Plz plz plz help me Plz tell me the correct answer
77julia77 [94]

Answer:

<u><em>Question 1:</em></u>

The smallest 5-digit no. is <u><em>10,000</em></u>

<u>The product of its prime factors is:</u>

=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5

<u><em>Question 2:</em></u>

The prime factors of 1729 are:

=> 1729 = 7 × 13 × 19

The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6

<u><em>Such as :</em></u>

=> 13-7 = 6

=> 19-13 = 6

Hope this helps!

Don't hesitate asking anything regarding this question!

7 0
3 years ago
Read 2 more answers
A 15% tip on a dinner bill is $3.60. How much is the bill?
ArbitrLikvidat [17]

Answer:

5

Step-by-step explanation:

if you add the tip it is 5 dollars

8 0
3 years ago
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