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3 years ago

I need help with 3 plz

Mathematics

2 answers:

dimulka [17.4K]3 years ago

5 0

See photo for solution

a. 77 ft^2
b. 58 ft

Butoxors [25]3 years ago

3 0

For queston (B) is 72 inches squarde

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

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

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

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

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

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

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

What is the value of 5k + m when k = -3 and m = -<br> -9?<br> A. -60<br> B. -30<br> C.-24<br> D. -6

sladkih [1.3K]

Answer:

C. -24

Step-by-step explanation:

$5k + m \\ k = - 3 \\ m = - 9$

Plug in values into the given equation

$5( - 3) + ( - 9) \\ - 15 - 9 \\ = - 24$

6 0

3 years ago

The student council is selling rolls of gift wrap and ribbon for the holiday season. The council charges $10 for a roll of gift

NikAS [45]

Answer:

10g + 3.5r ≥ 2,500

Hope this helps!

4 0

3 years ago

Read 2 more answers

Examine the following graph of a line. Which equation correctly represents the line in slope-intercept form?

Xelga [282]

Answer:

-8 -8

Step-by-step explanation:

Because it is the most reasonable

7 0

3 years ago

The least-squares regression line is_____________. A. the line that passes through the most data points.B. the line that makes t

Elanso [62]

Answer:

<h3>The option B) is correct.</h3><h3>That is the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible is correct answer</h3>

Step-by-step explanation:

Given that " The least-squares regression line "

The least-squares regression line is <u>the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.</u>

Therefore option B) is correct

3 0

3 years ago