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3 years ago

Which names are other correct names for GP choose all answers that are correct

Mathematics

1 answer:

REY [17]3 years ago

5 0

-->
GN

and

-->
GY

I'm just doing this to fill up the required characters cool I think I'm good now.

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Find an expression for the nth term ( tn ) in each of the following sequences:

Alexandra [31]

Answer:

The expression for the nth term is Tn = 8n -7

Step-by-step explanation:

Here, we are to find an expression for the nth term of the sequence.

Mathematically, the nth term of an arithmetic sequence can be expressed as;

Tn = a + (n-1)d

for T2, the equation is

a + d = 9

for T4, the equation is

a + 3d = 25

we can substitute the equation of T2 into T4 but we first need to rewrite T4

a + d + 2d = 25

9 + 2d = 25

2d = 25 -9

2d = 16

d = 16/2

d = 8

now since a + d = 9

a = 9-d

a = 9-8

a = 1

So the expression for the nth term would be;

1 + (n-1)8

1 + 8n - 8

= 8n -8+1

= 8n -7

6 0

3 years ago

A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through

Zarrin [17]

ANSWER

$x = 4$

and

$y = - 1$

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

$y = - \frac{3}{4}x + 2$

We equate the two equations to get:

$x - 5 = - \frac{3}{4} x + 2$

Multiply through by 4

$4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4$

$4x - 20 = - 3 x + 8$

$4x + 3x = 8 + 20$

7x=28

$x = \frac{28}{7} = 4$

$y = 4 - 5 = - 1$

5 0

3 years ago

Read 2 more answers

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

3 years ago

Which of these sets of ordered pairs would define a line with a positive slope?

Serhud [2]

The correct answer is D

8 0

2 years ago

Find the area of a circle whose circumference is 31.4 centimeters. (Pi form) {FREE BRAINLIEST]

vagabundo [1.1K]

Answer:

78.46 cm^2

Use area formula

6 0

3 years ago

Read 2 more answers