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ycow [4]
3 years ago
13

Ms. Semuskie is buying bagels for her family. How many bagels can she buy for 50$

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

40 bagels

Step-by-step explanation:

Let us assume that the cost of each bagel is $1.25

We need to find how many bagels she can buy for $50.

Let she can buy x bagels.

1.25\times x=50\\\\x=\dfrac{50}{1.25}\\\\x=40

Hence, she can buy 40 bagels for $50.

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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
2. <br> Simplify the product using FOIL. (2x – 7)(5x + 5)
Svetllana [295]

Answer: 10x - 25x - 35

Step-by-step explanation:

F 2x times 5x = 10x

O 2x times 5 = 10x

I  -7 times 5x = -35x

L -7 times 5 = -35

Hope This Helps :)

3 0
3 years ago
Read 2 more answers
Karl's team score is 39 points. this was one point less than twice Todd's score. find Todd's score
EleoNora [17]

Answer: i'm pretty sure todd's score would be 19

39=2x-1

6 0
3 years ago
Read 2 more answers
Complete the equation: 96 in =<br> yd.
disa [49]

Answer:

2.666666667

Step-by-step explanation:

12in=1ft

3ft=1yd

96/12=8

8/3=2.666666667

3 0
3 years ago
Need help
aleksandr82 [10.1K]

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters are given as follows:

\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24

Item a:

The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{984 - 959}{263}

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem:

Z = \frac{X - \mu}{s}

Z = \frac{984 - 959}{43.24}

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
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