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Alecsey [184]
3 years ago
6

What is the minimum value of 2x + 2y in the feasible region?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
Find and graph the feasible region for the following constraints: x + y < 5. 2x<span> + y > 4 ... y = 10/3. x = 30/3 - 10/3 = 20/3. Intersects at (20/3, 10/3). -x + </span>2y<span> = 0. x - </span>2y = 0.
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In 45 years, Gabriel will be 4 times as old as she is right now <br> How old is she right now?
Brut [27]

Answer:

She is 11.25 years old.

Step-by-step explanation:

I just did 45 divided by 4.

3 0
2 years ago
Is the mean age at which American children learn to walk less than 15 months? A study of 40 American children found a mean walki
Sonbull [250]

Answer:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: \mu \geq 15

Alternative hypothesis: \mu

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

Step-by-step explanation:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: \mu \geq 15

Alternative hypothesis: \mu

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

And the data given from the sample is:

\bar X = 13.2 represent the sample mean

\sigma represent the population deviation

n = 40 represent the sample size

And the statistic would be given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

8 0
3 years ago
Find the unknown side length x write your answer in simplest radical form
Sauron [17]

Answer:

(B)4\sqrt{37}

Step-by-step explanation:

First, we determine the height of the triangle which we label as y.

Using Pythagoras Theorem.

25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24

In the smaller right triangle with hypotenuse, x

Base = 7-3 =4 Units

Height, y= 24 Units

Therefore, applying Pythagoras Theorem.:

x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}

5 0
3 years ago
In ΔMNO, n = 78 cm, o = 14 cm and ∠M=12°. Find the length of m, to the nearest centimeter
STALIN [3.7K]

Answer:

64

Step-by-step explanation:

i calculated using https://www.calculator.net/triangle-calculator.html :/

5 0
2 years ago
Read 2 more answers
Triangle Abc has vertices A(-2,5),B(1,0),andC(6,-2).what are the coordinates of the vertices of A’B’C for Ry-axis?
Andreyy89

Answer:

A'(2,5),B'(-1,0),C'(-6,-2)

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

so

Applying the rule of the reflection across the y-axis

A(-2,5) ----> A'(2,5)

B(1,0) -----> B'(-1,0)

C(6,-2) ---> C'(-6,-2)

4 0
3 years ago
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