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Kazeer [188]
3 years ago
12

Find the length of side x in simplest radical form with a rational denominator

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
You don’t add a photo
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Cole bought 10 gallons of gas at the gas station with the lowest price.(the lowest price is $3.57 each gallon.) he paid with $40
Readme [11.4K]
$4.30
Do ten times $3.57 and subtract it from $40
7 0
3 years ago
Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br
Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0
3 years ago
Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.
Natali5045456 [20]

Answer:

a) X\sim(27293,(7235)^2)

b) 0.1567

c) P_{70}=31084.14

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)

Calculation the value from standard normal z table, we have,  

P(x < 20000) = 0.1567

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14  

The 70th percentile for the distribution of college cost is $31,084.14

4 0
3 years ago
Mike is mixing paint for his walls. he mixes 1/6 gallon blue paint and 5/8 gallon green paint in a large container. what fractio
Ronch [10]
1/6+5/8= 4/24+15/24
= 19/24
I think the total amount is 19/24.
7 0
3 years ago
Read 2 more answers
Help please thank you
tresset_1 [31]
Part A: 5.868 * 10^6
Part B: 1.888*10^11
5 0
3 years ago
Read 2 more answers
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