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2 years ago

Answer all five questions below

Mathematics

1 answer:

Svetach [21]2 years ago

6 0

Answer:

use a calculator

Step-by-step explanation:

there for question b

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Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the

stira [4]

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

$d = -33-(-15)$

$d = -33+15$

$d = -18$

Now, nth term of an arithmetic sequence is

$a_n=a+(n-1)d$

Substitute a=-15 and d=-18.

$a_n=-15+(n-1)(-18)$

$a_n=-15-18n+18$

$a_n=-18n+3$

Therefore, the nth term of the given arithmetic sequence is $a_n=-18n+3$ .

4 0

3 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2)

balu736 [363]

Adding both equations cancels y:

4x + 8y = 16
4x - 8y = 0
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.

7 0

2 years ago

2x(6x^2 + 3x - 1) Simplify

likoan [24]

Answer: 12x^3+ 6x^2- -2x

6 0

2 years ago

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

7 0

3 years ago

The ratio of people who walk home from school to people who ride the bus home is 2 : 7 2 : 7 . The number of bus riders is how m

SashulF [63]

Ratio walkers to riders 2:7

7/2=3.5

The bus riders are 3.5 times more than the riders

8 0

2 years ago