(x + 3)⁵
= x⁵ + 3⁵
= x⁵ + 243
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
PLEASE HURRY WILL GIVE BRAINLEST
What is the gross earnings for a person who has $26,480 in total sales, $1250 in Returns and Allowances, and a rate of commission of 7%?
Answer:
2317.000.00
Step-by-step explanation:
True or False. A triangle can be made with side lengths 4, 4 and 8.
Answer:
False
Step-by-step explanation:
**********************
Answer:
4
Step-by-step explanation:
you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X
5.401 \times 10^{-1} = {?}5.401×10 −1 =?
Answer:
2.005 x 10^2
Step-by-step explanation:
Evaluate:5^-1 – 6^-1
with explanation please!!
Answer:
1/30
Step-by-step explanation:
5^-1 = 1/5
6^-1 = 1/6
1/5 - 1/6 = 1/30
determine if any of the following listed pairs are congruent, select all that apply
34 divided by 523.6
Answer
Answer:
0.06493506493
Step-by-step explanation:
Answer:
0.064935065
Step-by-step explanation:
Please helpppp me. Will give Brainlyist
40:10 = 12 :
Equivalent ratio
Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 
Answer:
4 5 and 20
Step-by-step explanation:
What is 60 minutes 20% of
Answer:
60 minutes is 20% of 300%
Step-by-step explanation:
Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Michelin wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Michelin announce
Answer:
The minimum guaranteed mileage is [tex]x = 71489.55[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 67900[/tex]
The standard deviation is [tex]\sigma = 2050[/tex]
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as
[tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]
=> [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]
=> [tex]z = \frac{ x - 67900 }{ 2050}[/tex]
From the z table, the critical value corresponding to 0.96 to the left of the curve is
[tex]z = 1.751[/tex]
So
[tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]
=> [tex]x = 71489.55[/tex]
Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?
Answer:
She has to work for 60hours in order to earn $720.
Step-by-step explanation:
Amount of money earned in 1hour=36÷3
=12$
Total time required=720÷12
=60hours
Select the correct answer.
Which graph represents this equation?
y- 4=-3(x+5)
Step-by-step explanation:
The given expression is :
y- 4=-3(x+5)
⇒ y-4 = -3x-15
⇒y+3x = -15 + 4
⇒ y+3x= -11
We need to draw the graph for this equation. The attached figure shows the graph for this equation.
how much is 48 oz in lobby?
Answer:
bill nyedddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-s dtep explanation:
dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
what the answer?please tell me
12 points
Step-by-step explanation:
[7 + (-2)] * (-3)
= 7(-3) + (-2)(-3)
= -21 + 6
= -15. (C)
Answer:
C. -15
Step-by-step explanation:
Hope this helped have an amazing day!
Find the distance across the bridge
Answer:
32.5 ft
Step-by-step explanation:
Answer:160
Step-by-step explanation:
I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge
every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy
Answer:
The 40th visitor will recieve both
Step-by-step explanation:
5×8= 40
8×5= 40
HELP PLS
analyze the diagram above and complete the instructions that follow.
Answer:
D
Step-by-step explanation:
answer is on the photo
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2
Answer:
12.7
Step-by-step explanation:
[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]
5(g + 17) = (Simplify your answer.)
Answer:
5g+85 is the answer
Step-by-step explanation:
i hoped it helped
4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)
Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will randomly choose 1 marble from the bag. What is the probability that Keisha will choose an orange marble? this is one question only probability please it´s urgert!! Here are the answer choices: A 2/4 B 1/8 C 3/8 or D 1/4.
Answer:
Answer
Step-by-step explanation:
1/4
NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of
Answer:
17
8/17
Step-by-step explanation:
x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
sin∠D = [tex]\frac{8}{17}[/tex]
what methods of the early Greek historians might be useful to historians today
Answer:
The study of the past and examining why events took place.
Answer:
The investigation of the past and the causes of events.
Please please help fast! I don't have time!!! Please
Answer:
Concept: Statistical Analysis
2 and 4 would be correct and indicate a strong correlation between the subject and the resultDan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
Arthemeatic sequence
Answer:
14
Step-by-step explanation:
its going down by 11
81x^4 write as a square
Answer:
a square what
Step-by-step explanation:
Answer:
(9x^2)^2
Step-by-step explanation:
81 root is 9