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3 years ago

Can someone help me please?

Mathematics

1 answer:

uysha [10]3 years ago

6 0

Answer:

Step-by-step explanation:

x + 4 > -2

-4 -4

x > - 6

so any number larger then -6 satisfy the inequality.

It means integers: -5,-4,-3, -2, -1, 0, 1, 2 3, 4, and so on.

{-6 not because -6 is not >-6}

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The diameter of a circle is 16 kilometers. What is the angle measure of an arc 6 kilometers long?

Zolol [24]

Answer: 135/pi

Step-by-step explanation: Circumference is 16pi. So then 6/16pi is the fraction of the 360 arc measure of the entire circle that is the angle measure of the arc, so we multiply 6/16pi times 360 and yield 135/pi. Hope this helps!

6 0

3 years ago

Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine

baherus [9]

Answer:

$Each =\pounds 1121$

Step-by-step explanation:

See comment for complete question.

Given

$Total = \pounds 8968$

$Projects = 8$

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

$Each =\frac{Total}{Projects}$

$Each =\frac{\pounds 8968}{8}$

$Each =\pounds 1121$

<em>Each project gets £1121</em>

7 0

3 years ago

A manufacturer receives parts from two suppliers. An SRS of 400 parts from supplier 1 finds 20 defective; an SRS of 100 parts fr

jeyben [28]

Answer:

Option C) 0.0602

Step-by-step explanation:

We are given the following in the question:

$x_1 = 20\\n_1 = 400\\x_2 = 10\\n_2 = 100$

Let p1 and p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective.

$p_1 = \dfrac{x_1}{n_1} = \dfrac{20}{400} = 0.05\\\\p_2 = \dfrac{x_2}{n_2} = \dfrac{x_2}{n_2} = \dfrac{10}{100}= 0.1$

First, we design the null and the alternate hypothesis

$H_{0}: p_1 = p_2\\H_A: p_1 \neq p_2$

We use Two-tailed z test to perform this hypothesis.

Formula:

$\text{Pooled P} = \dfrac{x_1+x_2}{n_1+n_2}\\\\Q = 1 - P\\\\Z_{stat} = \dfrac{p_1-p_2}{\sqrt{PQ(\frac{1}{n_1} + \frac{1}{n_2})}}$

Putting all the values, we get,

$\text{Pooled P} = \dfrac{20+10}{400+100} = 0.06\\\\Q = 1 - 0.06 = 0.94\\\\Z_{stat} = \dfrac{0.05-0.1}{\sqrt{0.06\times 0.94(\frac{1}{400} + \frac{1}{100})}} = -1.883$

Now, we calculate the p-value from the table at 0.05 significance level.

P-value = 0.0602

Thus, the correct answer is

Option C) 0.0602

7 0

4 years ago

Four times Joe’s age plus 2 times Tim’s ageequals 50. Tim’s age is also 2 less than Joe’s age.How old is Joe?

Fed [463]

Answer:

Joe is 9 years old

Step-by-step explanation:

We can start by creating two different equations, one for each fact that we know about their ages.

Say that J is Joe's age

Say that T is Tim's age

Our first equation would then be:

4J + 2T = 50

J - 2 = T

Now that we know that T is J - 2, we can plug that in to the first equation.

4J + 2(J - 2) = 50

We can simplify this equation to solve for J

4J + 2J - 4 = 50

6J = 54

J = 9

Joe is 9 years old

7 0

3 years ago

The rate a car travels varies inversely with the time of the trip. If a car traveling 63 miles per hour can make the

Dahasolnce [82]

Answer:

2.25 hours

Step-by-step explanation:

7 0

3 years ago