All categories

3 years ago

Ons: Practice

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

$x = 18$

Step-by-step explanation:

Given

$\frac{x}{6} - 7 = -4$

Required

Solve for x

$\frac{x}{6} - 7 = -4$

Add 7 to both sides

$\frac{x}{6} - 7+7 = -4+7$

$\frac{x}{6} = -4+7$

$\frac{x}{6} = 3$

Multiply through by 6

$6 * \frac{x}{6} = 3 * 6$

$x = 3 * 6$

$x = 18$

You might be interested in

A researcher wants to estimate the true proportion of people who would buy items they know are slightly defective from thrift sh

belka [17]

Answer: 0.283

Step-by-step explanation:

Formula to find the lower limit of the confidence interval for population proportion is given by :-

$\hat{p}- z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of people who would purchase a defective item.

Given : Sample size = 993

Number of individuals would buy a slightly defective item if it cost less than a dollar = 305

Then, sample proportion of people who would purchase a defective item:

$\hat{p}=\dfrac{305}{993}\approx0.307$

Critical value for 90% confidence interval = z*=1.645 (By z-table)

The lower bound of a 90% confidence interval for the true proportion of people who would purchase a defective item will become

$0.307-(1.645)\sqrt{\dfrac{0.307(1-0.307)}{993}}$

$0.307- (1.645)\sqrt{0.000214250755287}$

$0.307- 0.024078369963=0.282921630037\approx0.283$ [rounded to the nearest three decimal places.]

Hence, the lower bound of a 90% confidence interval for the true proportion of people who would purchase a defective item.= 0.283

8 0

4 years ago

When p = 12, t= 2, and s = 5. r = 18. If r varies directly with p and inversely with the product of s and t, what is the constan

Alchen [17]

Answer:

Constant of variation is: 15

Step-by-step explanation:

r varies directly with p and inversely with the product of s and t

It can be written as:

r ∝ p/st

When the proportionality symbol is removed, a constant is introduced which is called constant of variation

$r = \frac{kp}{st}$

Putting p = 12, t= 2, and s = 5 and r = 18

$18 = \frac{k * 12}{2*5}\\18 = \frac{12k}{10}\\12k = 18*10\\12k = 180\\\frac{12k}{12} = \frac{180}{12}\\k = 15$

Hence,

Constant of variation is: 15

4 0

3 years ago

Megan's dog eats 4 1/4 cups of food each day. Explain how Megan can determine how much food to give her dog if she only needs to

Alika [10]

Answer:

2 5/6

Step-by-step explanation:

So basically what you do is this:

(2/3) * (17/4) = 34/12 = 2 10/12 = 2 5/6

And so that’s how you get your answer.

Hope this helps!

If I made any mistakes, please let me know!

4 0

4 years ago

Which table represents a quadratic function?

polet [3.4K]

Answer:

Its A i just took the test

Step-by-step explanation:

7 0

3 years ago

Write the expression in standard form for: 4(2a)+7(-4b)+(3xcx5)

xxMikexx [17]

8a - 28b + 15x^2c

I hope this helps. :)

3 0

4 years ago