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2 years ago

Theo's mom brought an eight pack of juice boxes at the store for $4 find the unit rate for the juice boxes

Mathematics

1 answer:

Greeley [361]2 years ago

8 0

$4/8 juice boxes= $0.50 per juice box

Final answer: $0.50 per joice box

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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

2 years ago

I If the game with 3 hits is considered to be recorded in error, it might be removed from the data set. If that happens a. What

Flura [38]

Answer:

If the game with 3 hits is ignored the data becomes:

7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11

a) The mean will increase.

With 3:

(3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9

Without 3:

(7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21

b) The median will remain as is.

With 3 and without the median is same = 9

7 0

2 years ago

A Jewelry Company sells a bracelet and gives customers the option to purchase charms to add to the bracelet. The expression 60+2

vlabodo [156]

Answer: the price per charm

Step-by-step explanation:

not really sure but i think 60 is the price of the beacelet and since x is the charms 25 must be the price per charm because 25 is multiplyed with x.

does that make sense?

7 0

3 years ago

The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 28, \sigma = 7$