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Butoxors [25]
2 years ago
15

Tricia is going to write Patterns A , B , and C using the rule add 15. The first number in each pattern is shown below . Use the

drop - down menus to describe the patterns .

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
8 0

Answer:

<h2>Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.</h2>

Step-by-step explanation:

Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.

<h3>Pattern A.</h3>

5+20+35+50+65+80+95+110+125+140+155+170+185+200+215+...

<h3>Pattern B.</h3>

10+25+40+55+70+85+100+115+130+145+160+175+190+205+...

<h3>Pattern C.</h3>

15+30+45+60+75+90+115+130+145+160+175+190+205+...

As you can observe, number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.

You might be interested in
23% of U.S adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the
algol13

Answer:

a) 0.294

b) 0.414

c) 0.694

Step-by-step explanation:

Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 10, p = 0.23, and q = 0.77.

a) If r = 2, then the probability is:

P = ₁₀C₂ (0.23)² (0.77)¹⁰⁻²

P = 45 (0.23)² (0.77)⁸

P = 0.294

b) If r > 2, then the probability is 1 − P(r ≤ 2).

P = 1 − ₁₀C₀ (0.23)⁰ (0.77)¹⁰⁻⁰ − ₁₀C₁ (0.23)¹ (0.77)¹⁰⁻¹ − ₁₀C₂ (0.23)² (0.77)¹⁰⁻²

P = 1 − 1 (0.23)⁰ (0.77)¹⁰ − 10 (0.23)¹ (0.77)⁹ − 45 (0.23)² (0.77)⁸

P = 1 − 0.073 − 0.219 − 0.294

P = 0.414

c) If 2 ≤ r ≤ 5, then the probability is:

P = ₁₀C₂ (0.23)² (0.77)¹⁰⁻² + ₁₀C₃ (0.23)³ (0.77)¹⁰⁻³ + ₁₀C₄ (0.23)⁴ (0.77)¹⁰⁻⁴ + ₁₀C₅ (0.23)⁵ (0.77)¹⁰⁻⁵

P = 45 (0.23)² (0.77)⁸ + 120 (0.23)³ (0.77)⁷ + 210 (0.23)⁴ (0.77)⁶ + 252 (0.23)⁵ (0.77)⁵

P = 0.294 + 0.234 + 0.122 + 0.044

P = 0.694

8 0
2 years ago
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
Divide rs 350 in ratio 2:5​
mihalych1998 [28]

Answer:

100 : 250

Step-by-step explanation:

Sum the parts of the ratio, 2 + 5 = 7 parts

Divide the quantity by 7 to find the value of one part of the ratio.

350 ÷ 7 = 50 ← value of 1 part of the ratio, thus

2 parts = 2 × 50 = 100

5 parts = 5 × 50 = 250

350 = 100 : 250 in the ratio 2 : 5

6 0
2 years ago
Asap pls help and explain
eduard

Answer:

the answer would be 90

Step-by-step explanation:

100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.

3/8 times 240 elves is 90 elves.

If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!

4 0
2 years ago
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Darina [25.2K]

Answer:

There is no solution for the given radical equation.

x = 225/16 is an extraneous solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Substituting back the value of x in original equation to check the extraneous solution.

 

Since -18≠ 12. Hence, the value of x does not satisfy the equation.

Therefore, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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