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3 years ago

Determine whether each sequence is arithmetic. If so, identify the common difference.

Mathematics

1 answer:

-Dominant- [34]3 years ago

4 0

Answer:

Options 1 and 4 are arithmetic

Step-by-step explanation:

Arithmetic means that you are adding or subtracting a number in a sequence.

For option 1, we are adding 2 every time.

-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3

For option 4, we are subtracting 7 every time.

32 - 7 = 25 25 - 7 = 18 18 - 7 = 11

Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.

2 * 3 = 6 6 * 3 = 18 18 * 3 = 54

Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.

1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15

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What is the equation of the line that is parallel to the line y = 3x - 4 and passe

lara31 [8.8K]

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

8 0

3 years ago

Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel

ikadub [295]

Answer: C

Step-by-step explanation:

C) All four sides are congruent

A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!

A rectangle does not have equal sides, only it's parrel sides are equal to each other.

If this really helped please mark me brainliest!

7 0

3 years ago

During the 7th examination of the Offspring cohort in the Framingham Heart Study there were 1219 participants being treated for

Lunna [17]

Answer:

95% confidence interval for the proportion of people in the population being treated for hypertension is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

So, the sample proportion is : $\hat p$ = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the people in the population is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.345

n = sample of participants = 1219 + 2313 = 3532

p = population proportion

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level of

significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p= [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ , $0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ ]

= [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of people in the population being treated for hypertension is [0.3293 , 0.3607].

6 0

3 years ago

Lexi Moor has one index card for every letter in the alphabet. She mixes the cards up, closes her eyes, and randomly selects one

DaniilM [7]

Answer:

11/13

Step-by-step explanation:

take out 4 letters that it could be which are L E X and I so you have 22 letters left out of 26 so 22/26 = 11/13

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3 years ago

Read 2 more answers

The difference between a hundred and a number is four times that number

damaskus [11]

Answer:

Step-by-step explanation:

We know that the difference between a hundred and a number is four times that number.

So assuming the number to be x, we can write the difference between a hundred and a number as 100 - x and four times that number as 4x.

So by combining these together, we get:

100 - x = 4x

100 = 5x

x = 100/5

x = 20

Therefore, the unknown number is 20.

5 0

4 years ago