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3 years ago

Choose the correct graph to fit the inequality y<16x ^2

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

$y$

we know that

The solution of the inequality is the shaded area below the dashed line of the parabola

The equation of the dashed line is the vertical parabola $y=16x^{2}$

therefore

The solution in the attached figure

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Soloha48 [4]

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

3 0

3 years ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

CaHeK987 [17]

Answer: 2x

Explanation:

Whenever we have a number right next to a letter, it implicitly means to multiply. So writing 2x is the same as 2*x or "2 times x". The x is a placeholder for some number.

4 0

2 years ago

Your friend is 1.56 m y'all. How many millimeters tall is your friend?

Ainat [17]

1.56/1000 = 0.00156mm

8 0

4 years ago

Read 2 more answers

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for

saveliy_v [14]

The cost of one pizza is $8.5

Step-by-step explanation:

Let,

Cost of one pizza = x

Cost of one bread stick = y

According to given statement;

3x+2y=29.50 Eqn 1

2x+3y=23 Eqn 2

Multiplying Eqn 1 by 2

$2(3x+2y=29.50)\\6x+4y=59\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 3

$3(2x+3y=23)\\6x+9y=69\ \ \ Eqn\ 4$

Subtracting Eqn 3 from Eqn 4

$(6x+9y)-(6x+4y)=69-59\\6x+9y-6x-4y=10\\5y=10$

Dividing both sides by 5

$\frac{5y}{5}=\frac{10}{5}\\y=2$

Putting y=2 in Eqn 1

$3x+2(2)=29.50\\3x+4=29.50\\3x=29.50-4\\3x=25.5$

Dividing both sides by 3

$\frac{3x}{3}=\frac{25.5}{3}\\x=8.5$

The cost of one pizza is $8.5

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

3 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

strojnjashka [21]

Answer:

a) $n=100,\,\mu_s = 14.7, \,\sigma_s=0.32$

b) $n=400,\,\mu_s = 14.7, \,\sigma_s=0.16$

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

Step-by-step explanation:

a) We have a population with mean of 14.7 and standard deviation of 3.2.

We have to calculate the parameters of the sampling distribution (mean and standard deviation), for a sample size of n=100.

The mean for the sampling distribution is the same of the population:

$\mu_s=\mu=14.7$

The standard deviation of the sampling distribution is related to the population standard deviation by the inverse of the square of the sample size:

$\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{100}=3.2/10=0.32$

b) For a sample size of n=400, the mean is the same (14.7), but the standard deviation becomes:

$\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{400}=3.2/20=0.16$

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

As we calculated, the standard error decreases as the sample size increases. This is because the variability of the variable is reduced as the sample size is bigger.

The mean stays the same independently of the sample size.

7 0

3 years ago