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3 years ago

What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... A. -6 B. -4 C. 4 D. 6

Mathematics

1 answer:

Usimov [2.4K]3 years ago

8 0

Answer:

D .6 is the correct option

Step-by-step explanation:

common difference=2nd term-1st term

= 8-2

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What do you want to find out? > The rate at which Bill puts shringles on a rood. What do you know? > Bill and Chip each fi

denis23 [38]

Answer:

(a) b = (4/7)c

(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour

Step-by-step explanation:

Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...

7b = 4c

c - b = 30 . . . . shingles per hour difference in rates

(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7

b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate

(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:

7c -7b = 210

7c -4c = 210

c = 210/3 = 70

b = (4/7)(70) = 40

Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.

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4 years ago

During last year the number of students in RSM increased by 100%. This year, the number of students increased by 150%. What perc

irina [24]

Answer:20%

Step-by-step explanation:so we start with x as the year before. then we get 2x from 100%. this year it would be 2x times 150% which is equal to 3x added to the year before. That would be 5x. 5x compared to x people would think is 500% but it is switched the other way to 20%.

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4 years ago

A basketball player makes a free throw 82.6% of the time. The player attempts 5 free throws. Use a histogram of the binomial dis

DiKsa [7]

Answer:

The most likely outcome is exactly 4 free throws

Step-by-step explanation:

Given

$n = 5$ --- attempts

$p = 82.6\%$ ---- probability of a successful free throw

$p = 0.826$

Required

A histogram to show the most likely outcome

From the question, we understand that the distribution is binomial.

This is represented as:

$P(X = x) = ^nC_x * p^x * (1 - p)^{n-x}$

For x = 0 to 5, where x represents the number of free throws; we have:

$P(X = x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(X = 0) = ^5C_0 * 0.826^0 * (1 - 0.826)^{5-0}$

$P(X = 0) = ^5C_0 * 0.826^0 * (0.174)^{5}$

$P(X = 0) = 1 * 1 * 0.000159 \approx 0.0002$

$P(X = 1) = ^5C_1 * 0.826^1 * (1 - 0.826)^{5-1}$

$P(X = 1) = ^5C_1 * 0.826^1 * (0.174)^4$

$P(X = 1) = 5 * 0.826 * 0.000917 \approx 0.0038$

$P(X = 2) = ^5C_2 * 0.826^2 * (1 - 0.826)^{5-2}$

$P(X = 2) = ^5C_2 * 0.826^2 * (0.174)^{3}$

$P(X = 2) = 10 * 0.682 * 0.005268 \approx 0.0359$

$P(X = 3) = ^5C_3 * 0.826^3 * (1 - 0.826)^{5-3}$

$P(X = 3) = ^5C_3 * 0.826^3 * (0.174)^2$

$P(X = 3) = 10 * 0.5636 * 0.030276 \approx 0.1706$

$P(X = 4) = ^5C_4 * 0.826^4 * (1 - 0.826)^{5-4}$

$P(X = 4) = 5 * 0.826^4 * (0.174)^1$

$P(X = 4) = 5 * 0.4655 * 0.174 \approx 0.4050$

$P(X = 5) = ^5C_5 * 0.826^5 * (1 - 0.826)^{5-5}\\$

$P(X = 5) = ^5C_5 * 0.826^5 * (0.174)^0$

$P(X = 5) = 1 * 0.3845 * 1 \approx 0.3845$

From the above computations, we have:

$P(X = 0) \approx 0.0002$

$P(X = 1) \approx 0.0038$

$P(X = 2) \approx 0.0359$

$P(X = 3) \approx 0.1706$

$P(X = 4) \approx 0.4050$

$P(X = 5) \approx 0.3845$

See attachment for histogram

<em>From the histogram, we can see that the most likely outcome is at: x = 4</em>

<em>Because it has the longest vertical bar (0.4050 or 40.5%)</em>

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3 years ago

HELP ASAP FAST HELP PLEASE (WORTH A LOT OF POINTS

Tanya [424]

Answer:

Step-by-step explanation:

12 -6 divided by 3 is 2, so 15+2 is 17

7 0

3 years ago

Read 2 more answers

A billboard is 6 meters long . One centimeter is approximately 0 .39 inch . About how long is the billboard in inches? Round to

Semenov [28]

Answer: 234 inches

Step-by-step explanation:

The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.

To convert the length to inches therefore, convert the length from meters to centimeters first:

1 meter = 100 cm

6 meters would therefore be:

= 6 * 100

= 600 cm

1 cm = 0.39 inches so 600 cm is:

= 600 * 0.39

= 234 inches

8 0

3 years ago

What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... A. -6 B. -4 C. 4 D. 6​

What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... A. -6 B. -4 C. 4 D. 6