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3 years ago

HELPP ASAP OR I WILL FAIL PLEASE

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Step-by-step explanation:

The given equation is :

$\dfrac{14+10x}{12}=-3$

Cross multiply,

$14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5$

This equation will have only one solution.

We can check the solution as follows :

Put x = -5 in LHS of the the given equation.

$\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3$

= RHS

Hence, this is the required solution.

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How many corners does a cube have in 4 dimensions?

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Well, there is 6 corners that doesn't touch each other. And if you add the ones that are touching each other then it has 10 corners.

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3 years ago

What lists all integer solutions of the inequality |x|<2

Nookie1986 [14]

Answer:

The solution to that inequality is (-2,2).

Step-by-step explanation:

Given the inequality |x|<2, we have two possibilities

1) x<2 or

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3 years ago

The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar val

vlabodo [156]

Answer:

Step-by-step explanation:

From the information given:

Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.

Then, $X \sim N ( \mu, \sigma ^2)$

Thus the null hypothesis and the alternative can be computed as:

Null hypothesis:

$H_o : \mu \leq3.5\%$

Alternative hypothesis

$H_1 : \mu > 3.5\%$

The type I and type II error is as follows:

Type I:

The mean bad debt ratio is > 3.5% when it is not

Type II:

The mean bad debt ratio is ≤ 3.5% when it is not.

The test statistics can be calculated by using the formula:

$t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

where;

sample size n = 7

mean = 6+8+5+9+7+5+8 = 48

sample mean $\overline x =\dfrac{48}{7}$

$\overline x$ = 6.86

sample standard deviation is :

$s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}$

$s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}$

s = 1.573

population mean $\mu = 3.5$

Therefore, the test statistics is :

$t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}$

$t = \dfrac{3.36}{\dfrac{1.573}{2.65}}$

$t = \dfrac{3.36\times {2.65}}{{1.573}}$

t = 5.660

At significance level of 0.01

$t_{0.01} = 3.707$

P - value = P(T > 5.66)

P - value = 1 - (T < 5.66)

P - value = 1 - 0.9993

P-value = 0.0007

Therefore, since $t_{0.01} < t$ , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.

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4 years ago

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month

Lilit [14]

Answer:

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Step-by-step explanation:

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3 years ago

10. The perimeter of the table shown is 16 feet. Write an equation in

Aliun [14]

Answer:

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

$P=2(\text{Width}+\text{Length})$

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

$P=2(3+x)\\ \\P=6+2x$

Since the perimeter is 16 feet, we have

$2x+6=16$

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

$2x+6-6=16-6\\ \\2x=10\\ \\x=\dfrac{10}{2}=5\ feet$

4 0

3 years ago