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3 years ago

Can somebody please help me and how do you do this step by step and I need the formula for this please.

Mathematics

1 answer:

Ksivusya [100]3 years ago

8 0

radius of ½ circle = d : 2

= 6in : 2 = 3in

Total area = Rectangle area + ½Circle area + Triangle area

= (l×w) + ½(π×r²) + (½×b×h)

= (10×6) + ½(π×3²) + (½ × (14-10) × 6)

= 60 + 14.14 + 12 = 86.14in

<h3 /><h3 /><h3>Answer : 86.14in</h3>

See the bold one in line 2 of total area, thats the formula of all shape.

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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

3 years ago

Can someone proove it to me thank you for your help

Dovator [93]

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4 years ago

If you roll a six-sided die, what is the probability you will obtain greater than a 2?

Delvig [45]

If we will roll a fair die then the outcomes wil be 1,2,3,4,5,6.

Hence, the total number of events= 6

3,4,5 and 6 are greater than 2.

So, there's 4 events which are greater than 2.

Now the formula to find the probability is:

probability= $\frac{Number of events more than 2}{Total number of events.}$

= $\frac{4}{6}$

= $\frac{2}{3}$

So, the probability of getting greater than a 2 is 2/3.

3 0

3 years ago

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8) Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated

Kitty [74]

<h3>Answer: 400 (choice A)</h3>

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

Explanation:

40% + 35% = 75% of the coins were either made before 1940, or made from 1940 to 1980. In other words, 75% of the coins were minted before 1980. This leaves 100% - 75% = 25% of the coins to being minted after 1980.

25% of 1600 = 0.25*1600 = 400 coins were made after 1980

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3 years ago

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3 years ago