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3 years ago

Answer if you known only The first five terms of an arithmetic sequence are given:

2 answers:

8 0

Hey mate!
You stuck?

The sequence is lowering in intervals of -3. Therefore, your next term in the sequence would be, -7

Hope this helps! :)

vladimir2022 [97]3 years ago

7 0

$\star$ In any arithmetic sequence, each term is equal to the previous term plus the common difference.

 $\star$ Thus, the second term is equal to the first term plus the common difference. In this sequence, the second term, 5, is 3 less than the first term, 8.

$\star$ Therefore, the common difference is -3.

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The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0

dedylja [7]

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987$

Hence, a) 0.8413, b) 0.9987.

4 0

3 years ago

Which of these symbols stands for less than or equal to?

trasher [3.6K]

Answer:

the far left one

Step-by-step explanation:

3 0

3 years ago

Classify the system of equations 2x + y - 7 = 0 1/3 x + y - 4 = 0

KATRIN_1 [288]

Answer:

Step-by-step explanation:

The equations are:

2x + y - 7 = 0

and

1/3x + y -4 = 0

Let's rearrange the first to get:

y = -2x + 7

Putting this into the 2nd equation we get:

$\frac{1}{3}x + y -4 = 0\\\frac{1}{3}x + (-2x+7) -4 = 0\\\frac{1}{3}x-2x+7-4=0\\\frac{5}{3}x=3\\x=\frac{9}{5}$

Now, y would be:

$y=-2x+7\\y=-2(\frac{9}{5})+7\\y=3\frac{2}{5}$

Solving the equation we see that there is 1 unique solution with 1 x value and another y values. That means, when graphing, the lines would intersect.

Answer choice B is right.

Note: Coincident means the same line and parallel means there would be no solution when solving

3 0

3 years ago

the equation d=1/2n (n-3) gives the number of diagonals D for polygon with n sides. use this equation to find the number of side

alekssr [168]

To solve this problem you must apply the proccedure shown below:

1. You have that:

- The equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.

- The polygon that has 65 diagonals..

2. When you clear n, you obtain:

d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0

3. When you solve the quadratic equation, you obtain:

n=13

Therefore, the answer is: 13 sides.

3 0

3 years ago

Read 2 more answers

There is 18 inches of snow on the ground. Snow is falling at a rate of 4 inches per hour. Write a function to represent the tota

stealth61 [152]

Answer:

$f(x) = 4x + 18$

Step-by-step explanation:

Since there are 18 inches of snow already, 18 is our constant term in the function. Then, we describe x to be the number of hours that it snows for. We multiply this by 4 to find how many inches of snow fell during those hours. We add this term to the constant term to get the solution to y or $f(x)$

8 0

3 years ago