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2 years ago

2(X×6)Better Or Equal To 3

Mathematics

1 answer:

ioda2 years ago

6 0

X≥ $\frac{1}{4}$

Distribute and then solve.

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A researcher is interested in whether people are less able to identify emotions correctly when they are extremely tired. It is k

stepan [7]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

By analyzing the given information, we have the following hypothesis:-

$H_0:\mu\geq81\\\\H_a:\mu$

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

Also, the accuracy ratings of people in the general population are normally distributed.

Given : Sample size : n=51 , since n>30 so we use z-test.

Sample mean : $\overline{x}=79$

Standard deviation : $\sigma=\sqrt{20}\approx4.47$

Test statistic for population mean :-

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

$\Rightarrow\ z=\dfrac{79-81}{\dfrac{4.47}{\sqrt{51}}}\\\\\Rightarrow\ z\approx-3.195$

Critical value (one-tailed) corresponds to the given significance level :-

$z_{\alpha}=z_{0.05}=1.645$

Since the observed value of z (-3.195) is less than the critical value (1.645) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to accept that people are less able to identify emotions correctly when they are extremely tired .

3 0

3 years ago

Could I get help with this ?

Leokris [45]

Answer:

top is -2,4 and bottom is 3,-2 ??

hope that what u need

Step-by-step explanation:

???

7 0

2 years ago

If the roots of a quadratic are ±3i, where will the graph intersect the x-axis?<br> (See Picture)

Xelga [282]

Answer:

Step-by-step explanation:

as the roots are imaginary so it does not intersect x-axis.

3 0

2 years ago

2. The Geo Air pilot is looking at SCCA from the plane. From the aircraft the angle of depression is 17 degrees. If the plane is

lana66690 [7]

Answer:

The distance from the plane to SCCA is 34,203.0 feet approximately, and the horizontal distance is 32,708.5 feet approximately.

Step-by-step explanation:

You can draw a right triangle like the one shown in the figure attached, where:

x: horizontal distance.

y: distance from the plane to SCCA.

You can calculate x as following:

$tan\alpha=\frac{opposit}{adjacent}$

Where:

$\alpha=17\°\\opposite=10,000\\adjacent=x$

Substitute and solve for x:

$tan(17\°)=\frac{10,000}{x}\\\\x=\frac{10,000}{tan(17\°)}\\\\x=32,708.5ft$

You can calculate y as following:

$sin\alpha=\frac{opposit}{hypotenuse}$

Where:

$\alpha=17\°\\opposite=10,000\\hypotenuse=y$

Substitute and solve for y:

$sin(17\°)=\frac{10,000}{y}\\\\y=\frac{10,000}{sin(17\°)}\\\\y=34,203.0ft$

7 0

3 years ago

Amy puts $117.00 in her saving account each year for a total of 5

bearhunter [10]

Answer:

568$

Step-by-step explanation:

so if she spent 17 that means that there is only 100 for one of the years so you must multiply 117 • 4 and then add 100

7 0

3 years ago