What is 0.00000000078 in scientific notation?

A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an

pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

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5 0

3 years ago

Tom needs to drive 21 miles to work. So far, he has driven 2.2 miles. How many more miles must he drive?

wolverine [178]

Tom needs to drive 18.8 more miles

4 0

3 years ago

Read 2 more answers

Eight times a sum of a number is 5

nata0808 [166]

Answer:

Step-by-step explanation:

So 8 times what is 5?

8 times x=5

x=0.625

4 0

3 years ago

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:

a

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

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

b

$F_{critical} = 1.8608$

c

$F = 2.9085$

d

The decision rule is

Reject the null hypothesis

e

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

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,206 was collected on the sale of 1,322 ticket

vaieri [72.5K]

There were 471 adult and 851 student tickets sold

6 0

3 years ago