10-kg bag of cherries for $8<br><br> __

ALSO WORTH 50 POINTS Which graph matches the inequality: 2(4x - 5) < 14x + 8?

ss7ja [257]

Answer:

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3

6 0

2 years ago

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

6 0

2 years ago

The perimeter of a triangle is 50 feet. One side of the triangle is 4 times the second side. The third side is 14 feet longer th

shutvik [7]

Idk idk idfk idk idk 124

8 0

3 years ago

why might you want to use the commutative property to change the order of the intergers in the following sum before adding? -80+

serious [3.7K]

$-80+ (-20)+(-173)=-80-20-173=-100-173=-273$

6 0

2 years ago

Please Answer This Math Question? Here it is:; There was a typo thank you for saying that its Mrs. Gorski bought a table and 6 c

SCORPION-xisa [38]

So you'd do 980 - 524 = $456, and then 456 ÷ 6 = $76, which is the cost of 1 chair. We already know that 1 table is $524, so if you want 2 tables and 8 chairs you'd do (524 × 2) + (76 × 8), which is 1048 + 608 = $1656, which is your answer. I hope this helps!

6 0

2 years ago

10-kg bag of cherries for $8 ___ per kg