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3 years ago

A recipe calls for 2 cups of water for every 3 cups of flour. How much water is needed if you use 12 cups of flour?

Mathematics

1 answer:

Tju [1.3M]3 years ago

6 0

Answer:

8 cups of water

Explanation:

2 cups of water = 3 cups of flour

x cups of water = 12 cups of flour

12/3=4

2x4=8

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Erik buys a new combination for his locker at the gym.The lock has 3 dial, each with the number 0 through 9. The probability tha

Dvinal [7]

Answer: 0.001

Step-by-step explanation:

Given

The lock has 3 dials, each with the number 0 through 9.

The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is $\frac{1}{10}$

Similarly for selecting '3' and '9' is also $\frac{1}{10}$

Therefore the probability of getting a combination of 4-3-9 is

$\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001$

6 0

3 years ago

Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form. Step 1: Choose (X1,Y1)

Ivan

Answer:

Step-by-step explanation:
Given that the line passes through two points (-1,2) and (6,3)
Slope of the line passing through (x1,y1) and (x2,y2) is y2-y1
x2-i1

Hence slope of our line =
(3-2)/(6+1) = 1/7
So in slope intercept form the equation would be
y = 1/7 x +C
to find C
Since (-1,2) lies on the line substitute these in the line equation
2 = 1/7(-1)+c
C = 2+1/7 = 15/7
Hence equation in slope intercept form is y=x/7+15/7

5 0

3 years ago

You may use any word processing program or Web 2.0 tool to present your argument, but you must include the following: A summary

Yakvenalex [24]

Jesus loves u bro

good luck

4 0

3 years ago

Example 1: Calculation of Normal Probabilities Using ????????-Scores and Tables of Standard Normal Areas The U.S. Department of

Molodets [167]

Answer:

i) 0.872

ii) 0.300

iii) 0.76

iv) 0.704

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $261.50 per month

Standard Deviation, σ = $16.25

We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(Less than $280)

$P( x < 280) = P( z < \displaystyle\frac{280 - 261.50}{16.25}) = P(z< 1.138)$

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

$P(x < 280) = 0.872 = 87.2\%$

b) P(More than $270)

P(x > 270)

$P( x > 270) = P( z > \displaystyle\frac{270 - 261.50}{16.25}) = P(z > 0.523)$

$= 1 - P(z \leq 0.523)$

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

$P(x > 270) = 1 - 0.700 = 0.300 = 30.0\%$

c) P(More than $250)

P(x > 250)

$P( x > 250) = P( z > \displaystyle\frac{250 - 261.50}{16.25}) = P(z > -0.707)$

$= 1 - P(z \leq -0.707)$

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

$P(x > 250) = 1 - 0.240 = 0.76 = 76.0\%$

d) P(Between $240 and $275)

$P(240 \leq x \leq 275) = P(\displaystyle\frac{240 - 261.50}{16.25} \leq z \leq \displaystyle\frac{275-261.50}{16.25}) = P(-1.323 \leq z \leq 0.8307)\\\\= P(z \leq 0.8307) - P(z < -1.323)\\= 0.797 - 0.093 = 0.704 = 70.4\%$

$P(240 \leq x \leq 275) = 70.4\%$

e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

5 0

3 years ago

How do I solve for IQR?

____ [38]

Answer:

1.Order the data from least to greatest.

2.Find the median.

3.Calculate the median of both the lower and upper half of the data.

4.The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

6 0

3 years ago