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2 years ago

2. Guelmy played 4 different video games in 2 hours. At this same rate, how many video games would he play in 5 hours?

Mathematics

1 answer:

Inga [223]2 years ago

4 0

Answer:

10 video games. Since he is playing 2 video games every hour.

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A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

4 0

2 years ago

What is the inequality shown?<br> n<br> -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Keith_Richards [23]

Answer:

0 answer is yes.........

5 0

3 years ago

When a number is increased by 8.2%, the result is 106. What is the original number to the nearest tenth?

ruslelena [56]

Answer:

Step-by-step explanation:

Let the original number = x

$x+\frac{8.2}{100}*x=106\\\\x+0.082x=106\\\\1.082x=106\\\\x=\frac{106}{1.082}\\\\x=\frac{106*1000}{1.082*1000}\\\\x=\frac{106000}{1082}\\\\x=97.96\\\\$

x=98.0

x=98

4 0

3 years ago

Dan read 104 pages of his book. He has 68% left. How many pages in his book?

kozerog [31]

P(100-68)/100=104

p(32)/100=104

32p=10400

p=325

There are 325 pages in the book.

6 0

3 years ago

Read 2 more answers

Write an equivalent expression for 88 +16x +8 . If x=4,is the solution to both expressions the same.

Firlakuza [10]

You can find an equivalent expression for this by combining like terms.
The terms are 88, 16x, and 8.
The like terms are 88 and 8.
To combine them, add them together.
88 + 8 = 96
The equivalent expression would be 16x + 96.
This means 16x + 96 is the same as <span>88 + 16x + 8.

Since they are equivalent, that means they are equal, or the same.
So no matter what x is, they will both be equal to the same thing, so their solutions will be the same.

Answers:
Equivalent Expression: 16x + 96
Yes, both expressions will have the same solutions if x = 4.

Hope this helps!</span>

5 0

3 years ago

2. Guelmy played 4 different video games in 2 hours. At this same rate, how many video games would he play in 5 hours?​

2. Guelmy played 4 different video games in 2 hours. At this same rate, how many video games would he play in 5 hours?