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3 years ago

Mrs. Dodson has a jar full of pennies and quarters. There are 120 coins in the jar worth a

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer: 10.

Step-by-step explanation:

DIVISION. 120/12.

That is hard! Here's a trick.

12x9= 99=9=108. Or 12x6=66+6=72.

We will stick with 12x9, that equals 108.

We should add another 12 until we get to 120.

108+12=120. That is 10 times. The trick was...

dividing by 12 is hard, so lets say 12x4. I can put 4 and 4 together.

44 then and another 4. That is 48. So 12x4=48.

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The lines on the graph below represent the cost of apples at four different stores.

katen-ka-za [31]

At Store A is the cost of apples the least. This is because it always has the lowest price for each pound compared to the other lines. Hope this helps!

5 0

2 years ago

Read 2 more answers

The Thompson Family decides to plant a total of 180 plants in order to prepare for a larger

Licemer1 [7]

Answer: 54 berry plants

Step-by-step explanation:

From the sample there are:

Lettuce = 12

Tomatoes = 6

Peppers = 3

Berries = 9

The total is: = 12 + 6 + 3 + 9 = 30 plants

Berries comprise of:

= 9/30

= 3/10 of the plants

If they want to plant a total of 180, the number of berrie plants needed is:

= 3/10 * 180

= 54 berry plants

8 0

3 years ago

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean of 1262 and a s

Andrew [12]

Answer:

a) 1186

b) Between 1031 and 1493.

c) 160

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean of 1262 and a standard deviation of 118.

This means that $\mu = 1262, \sigma = 118$

a) Determine the 26th percentile for the number of chocolate chips in a bag. 

This is X when Z has a p-value of 0.26, so X when Z = -0.643.

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

$-0.643 = \frac{X - 1262}{118}$

$X - 1262 = -0.643*118$

$X = 1186$

(b) Determine the number of chocolate chips in a bag that make up the middle 95% of bags.

Between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile.

2.5th percentile:

X when Z has a p-value of 0.025, so X when Z = -1.96.

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

$-1.96 = \frac{X - 1262}{118}$

$X - 1262 = -1.96*118$

$X = 1031$

97.5th percentile:

X when Z has a p-value of 0.975, so X when Z = 1.96.

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

$1.96 = \frac{X - 1262}{118}$

$X - 1262 = 1.96*118$

$X = 1493$

Between 1031 and 1493.

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

Difference between the 75th percentile and the 25th percentile.

25th percentile:

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

$-0.675 = \frac{X - 1262}{118}$

$X - 1262 = -0.675*118$

$X = 1182$

75th percentile:

X when Z has a p-value of 0.75, so X when Z = 0.675.

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

$0.675 = \frac{X - 1262}{118}$

$X - 1262 = 0.675*118$

$X = 1342$

IQR:

1342 - 1182 = 160

7 0

3 years ago

What is the prime factorization of 312?

Fofino [41]

You find the prime factorization by breaking the number down into other numbers that are prime. Start by breaking up 312 into 39 * 8. 39 breaks up into 3 * 13, and 8 breaks up into 4 * 2 which breaks up into 2 * 2. So the prime factorization of 312 is 3 * 13 * 2 * 2 * 2 or $3*13* 2^{3}$ . When you multiply those together you'll get 312.

5 0

3 years ago

Read 2 more answers

Write the equation of a line with a slope of zero passing through (2,-5).

antoniya [11.8K]

Y - y₁ = m (x-x₁)

y - (-5) = 0 (x-2)

y + 5 = 0

y = -5

3 0

2 years ago