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2 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Mathematics

2 answers:

blsea [12.9K]2 years ago

5 0

i believe the answer is -4.33 :)

nevsk [136]2 years ago

3 0

I think the answer is: -4.25

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2>Answer with explanation:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0

3 years ago

When finding the equation of a linear function in a table how do I find y when x is 0?

sesenic [268]

U need to find the equation of the line....and once u do that, sub in 0 for x and solve for y

3 0

3 years ago

Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun

tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

Use the formula to calculate compound interest:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can combine the formulas into:

$A = P(1+\frac{r}{c})^{tc}$

"c" is the compounding periods in a year. (quarterly = 4)

We know:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

Substitute the information in the formula.

$A = P(1+\frac{r}{c})^{tc}$

$A = 8000(1+\frac{0.1}{4})^{15*4}$ Solve "i" and "n"

$A = 8000(1+0.025)^{60}$ Solve inside the brackets

$A = 8000(1.025)^{60}$ Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0

3 years ago

arron takes his dog for a walk afer school, he walks 5 blocks east and then 4 blocks north. if he was able to take a direct rout

nlexa [21]

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where $a$ and $b$ are 2 legs of the triangle, and $c$ is the hypotenuse, aka the longest side of any triangle:

$a^2+b^2=c^2$

We know $a$ and $b$ and want $c$

$4^2+5^2=c^2$

$16+25=c^2$

$41=c^2$

Therefore, $c$ is approximately $6.403$

3 0

2 years ago

I HAVE ASKED THIS TWICE NOW YOU GUYS!! SOMEONE PLEASE HELP ME I REALLY NEED HELP PLEASE THIS IS A VERY IMPORTANT TEST I WILL GIV

lubasha [3.4K]

Ok so 12 in. = 1ft
210 in = 17.5 ft
35 in = about 2.9 ft
17.5/2.9 = approximately 6 ft.
I think the answer is 6 ft
At the same time 210/35 = 6, which would make the length 6 in., because area equals base times height, so you just divide, which would make it 1/2ft.
I would go with 6 in.

8 0

3 years ago