All categories

3 years ago

6.)Tell wether the two rates form a proportion. Please respond fast I’ll give 20 points!!!!

Mathematics

1 answer:

Ivan3 years ago

8 0

Answer:

6) no

Step-by-step explanation:

125 × 32 is 4000

225 × 18 is 4050

Not equal.

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What is the set of all solutions to the equation \sqrt{x + 2}= {-x} x+2 =−xsquare root of, x, plus, 2, end square root, equals

NARA [144]

Answer:

$x = 2$ or $x = -1$

Step-by-step explanation:

Given

$\sqrt{x + 2}= {-x}$

Required

Find the possible values fo x

$\sqrt{x + 2}= {-x}$

Square both sides

$( \sqrt{x + 2})^2= ({-x})^2$

$x + 2 = x^2$

Equate to 0

$x^2 - x - 2 = 0$

Expand

$x^2 + x -2x - 2 = 0$

Factorize:

$x(x + 1) - 2(x + 1) = 0$

$(x -2)(x +1) = 0$

Split:

$x - 2 = 0$ or $x + 1 = 0$

$x = 2 + 0$ or $x = 0-1$

$x = 2$ or $x = -1$

3 0

3 years ago

Find the average rate of change of the given function on the interval [1,6]

AleksAgata [21]

It is fifteen which isA

3 0

3 years ago

Tickets to a baseball game cost 20 dollars each and parking cost 10 dollars. What is the equation for the line that represents t

Lilit [14]

Y=20x+10, have a good day!

5 0

3 years ago

I need answers!!!!!!!!

aleksandrvk [35]

Answer:

a) 4.4583 b) Fiona

Step-by-step explanation:

First find the average of the numbers by adding them all together then dividing them by the amount of numbers given:

$(85 + 88 + 90 + 91 + 93 + 96 + 97 + 97 + 98 + 98 + 99 + 105)\div12= 1137\div12= 94.75$

Then find the difference between each number and the answer you got

$(85 - 94.75) + (88 - 94.75) + (90 - 94.75) + (91 - 94.75) + (93 - 94.75) + (96 - 94.75) + (97 - 94.75) + (97 - 94.75) + (98 - 94.75) + (98 - 94.75) + (99 - 94.75) + (105 - 94.75)\div12$

Which is

$(9.75) + (6.75) + (4.75) + (3.75) + (1.75) + (1.25) + (2.25) + (2.25) + (3.25) + (3.25) + (4.25) + (10.25)\div12$

Which comes out to

$\frac{53.5}{12}=4.4583$

6 0

3 years ago

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a

Vikki [24]

Answer:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

Step-by-step explanation:

Information given:

$n=131$ represent the sample size

$\hat p=0.81$ represent the estimated proportion

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.326$

And replacing into the confidence interval formula we got:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

6 0

4 years ago