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3 years ago

The condition of two sides congruent always creates what kind of triangle?

1 answer:

3 0

Its an isosceles triangle and just for future reference, you can google the types of triangles and you will find websites with definition and answers

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Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i

OLEGan [10]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

$H_0:\mu=18\\\\H_a:\mu\neq18$

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size : n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : $\overline{x}=18.8$

Standard deviation : $\sigma=2.8$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02$

The p-value= $2P(z>2.02)=0.0433834$

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0

2 years ago

Find the 64th term of the arithmetic sequence 33, 25, 17, 9?

viktelen [127]

Answer: -467

I sure but not so sure but hoped it helped

Step-by-step explanation:

It’s decrease by 8 so do the formula

an= a + d(n−1).

7 0

2 years ago

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

joja [24]

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

$(x,y)\to (-y,x)$

$P(x,y)\to P_1(-y,x)$

If a figure translated 3 units up, then

$(x,y)\to (x,y+3)$

$P_1(-y,x)\to P'(-y,x+3)$

If triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

$(x,y)\to (-y,x+3)$

Therefore, the required rule of transformation is $(x,y)\to (-y,x+3)$ .

Note: Option are not in proper form.

7 0

2 years ago

Will give Brainliest!!!!!

Alexxandr [17]

<h3>Determining the solution.</h3>

The solution(s) for the provided graph are (0, 6) and (6, 0)

<h3>What is a solution of a graph?</h3>

The solution of the <u>system of equations</u> is the <u>intersection</u> of the two equations.

<h3>Reasoning.</h3>

In the image provided, we can see two solutions (i<u>ntersection points)</u> that are intersected by a line and a circle.

<u>Those two solutions are:</u>

(0, 6) and (6, 0)

4 0

2 years ago

(IMPORTANT) The graph above shows the total cost of an internet subscription, C, as it relates to the number of Internet hours u

zlopas [31]

Answer:

$12

Step-by-step explanation:

12 dollars per hour because in 5 hours, its $60, 1 hour is ?,

So divide 60 by 5

7 0

3 years ago