How to tell the different properties in algebra

adell [148]

-2x^3-x^2-6x-7

I don't really know what else

6 0

3 years ago

The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

umka2103 [35]

Answer:

1. Option A) Reject the null hypothesis

2. Option B) 0.0062

Step-by-step explanation:

We are given the following in the question:

1. Population mean, μ = $1.25 per liter

Sample mean, $\bar{x}$ = $1.20 per lite

Sample size, n = 49

Alpha, α = 0.05

Population standard deviation, σ = $0.14

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.25\text{ dollars per liter}\\H_A: \mu < 1.25\text{ dollars per liter}$

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

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{1.20 - 1.25}{\frac{0.14}{\sqrt{49}}}= -2.5$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Option A) Reject the null hypothesis

Thus, there is enough evidence to support the claim that efficiency measures have reduced the prices.

2. We can calculate the p value from the standard table.

P-value = 0.0062

Option B) 0.0062

4 0

3 years ago

Find the area of the sector in terms of pi

s2008m [1.1K]

Answer: 4 pi

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Can someone please help me with number 2?I don't know what I did wrong.

Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>

When going 70 mph, it takes about 3.08 hours
When going 55 mph, it takes about 3.92 hours

6 0

3 years ago

In October, Jerry read for 3/5 of an hour every day for 20 days. How many more hours did Jerry read in October than in September

8090 [49]

Multiply 3 * 20 * 8 divided by 3

7 0

3 years ago

Read 2 more answers