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2 years ago

2. The city of Johnsonville was 1.5 inches of rain short of the normal amount for the year at the end of July. During the

Mathematics

1 answer:

Dafna11 [192]2 years ago

5 0

Answer:

0.6 is the diference

Step-by-step explanation:

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In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t

AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

P(X = r) = $\binom{n}{r}p^{r}(1-p)^{n-r}$ for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

r = no. of success which is at least 5 in our case

p = probability of success which is probability of Roman Catholic of

0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= $\binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}$

= 56 * $0.9^{5} * (0.1)^{3}$ + 28 * $0.9^{6} * (0.1)^{2}$ + 8 * $0.9^{7} * (0.1)^{1}$ + 1 * $0.9^{8}$

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0

2 years ago

A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 3

inna [77]

Answer:

-1/4 meter per minute

Step-by-step explanation:

Since, the volume of a cube,

$V=r^3$

Where, r is the edge of the cube,

Differentiating with respect to t ( time )

$\frac{dV}{dt}=3r^2\frac{dr}{dt}$

Given, $\frac{dV}{dt}=-3\text{ cubic meters per minute}$

Also, V = 8 ⇒ r = ∛8 = 2,

By substituting the values,

$-3=3(2)^2 \frac{dr}{dt}$

$-3=12\frac{dr}{dt}$

$\implies \frac{dr}{dt}=-\frac{3}{12}=-\frac{1}{4}$

Hence, the rate of change of an edge is -1/4 meter per minute.

4 0

2 years ago

Car a leaves the grand canyon at noon. it travels at 60 mph, but stops at 3 pm for an hour. car b leaves the grand canyon at 2 p

kupik [55]

3:30pm .................

3 0

2 years ago

Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 333 transportation options (take a bus, a c

matrenka [14]

All transportation (bus, cab, train) are all similarly likely to be selected, and 1 of them must be selected at morning and evening, so we get: P (bus) = P (cab) = P (train) = 1/3. We also have P(no cab in evening) = P(no cab at morning) = 2/3
Now, P(using cab exactly once) = P(cab at morning and no cab in the evening) + P(no cab at morning and cab in the evening)
= P(cab, no cab) + P(no cab, cab)
= 1/3 * 2/3 + 2/3 * 1/3
= 2/9 + 2/9
= 4/9
Probability that Elizabeth uses a cab only once is 4/9.

7 0

2 years ago

Read 2 more answers

Evaluate the function rule for the given value. y = 6 ∙ 2x for x = –2

dybincka [34]

Y = 6 times -4
y = -24

3 0

2 years ago

Read 2 more answers