Compare 1/2 5/10 using <, >, or =

Mathematics

2 answers:

olga2289 [7]3 years ago

6 0

HENLO NICE FEMALE (lol)

1/2 = 5/10

One over two is proportional to five over 10. If you were to physically show this, perhaps taking two pizzas, cutting one into two equal slices, and the other into 10 equal slices, they would be the same size. Therefore, 1/2 equals 5/10.

slava [35]3 years ago

4 0

Answer:

Step-by-step explanation:

Simplify the fractions:

1/2 is already in simplest form.

(5/10)/(5/5) = 1/2

1/2 = 1/2 ∴ 1/2 = 5/10

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A country is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30

kondaur [170]

Answer:

We conclude that speed is greater than 30 miles per hour.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 miles per hour

Sample mean, $\bar{x}$ = 35 miles per hour

Sample size, n = 15

Alpha, α = 0.01

Sample standard deviation, s = 4.7 miles per hour

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ miles per hour}\\H_A: \mu > 30\text{ miles per hour}$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{35 - 30}{\frac{4.7}{\sqrt{15}} } = 4.120$

Now, $t_{critical} \text{ at 0.01 level of significance, 14 degree of freedom } = 2.624$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.

We calculate the p-value.

P-value = 0.00052

Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.

6 0

3 years ago

8x+5 <br> 3x+8<br> Find the measurement of x!!

Soloha48 [4]

Answer:

Step-by-step explanation: look at the picture