Answer:
a
POPULATION : The population is the surfers , swimmers, snorkelers and spear-fishermen in America
SAMPLE : The 1000 records of shark attacks selected
VARIABLE FOR STUDY: 580 surfers
Step-by-step explanation:
Generally the population is the surfers , swimmers, snorkelers and spear-fishermen in America
This is because it is the entire pool from which a statistical sample is drawn
Generally the sample is the 1000 records of shark attacks selected
This is because this the number drawn from the population for statistical testing also this contain the characteristics of the population
Generally the variable for study is 58% of 1000 = 580 surfers
This is because the this 580 surfer is the major focus of the Researchers study
New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their current lamp to the new heat lamps for the university, OSU decided to test whether the mean lifetime is equal to 100 or not by sampling 36 heat lamps. They turned them on and recorded the time, in hours, until each lamp failed. The sample provided a mean lifespan is 105.1 hours.
1) What set of hypotheses are correct for this problem?
SET 1 - H0: µ = 100 hours , Ha: µ < 100 hours
SET 2 - H0: µ = 100 hours , Ha: µ > 100 hours
SET 3 - H0: µ = 100 hours , Ha: µ ≠ 100 hours
A) SET 1.
B) SET 2.
C) SET 3.
2) If we assume the null hypothesis to be true, the average of the distribution of sample means, μ x ¯, from a sample size of 36 is:______.
a) 15.
b) 115.
c) 100.
d) 105.1. .
3) According to the Central Limit Theorem, the standard deviation of the distribution of the sample means is:______.
a) 115.
b) 15.
c) 6.
d) 2.5. .
4) What is the approximate probability of observing a sample mean of 105.1 or more from the distribution of sample means, again assuming that the null hypothesis is true?
a) 0.68.
b) 0.025.
c) 0.975.
d) 0.16.
Answer:
1
The correct option is C
2
The correct option is C
3
The correct option is A
4
The correct option is B
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 100[/tex]
The standard deviation is [tex]\sigma = 15[/tex]
The sample size is [tex]n = 36[/tex]
The sample mean is [tex]\= x = 105.1[/tex]
Generally
The null hypothesis is [tex]H_o: \mu = 100 \ hours[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 100\ hours[/tex]
Given that the null hypothesis is true then the distribution of sample means [tex]\mu_{\= x }[/tex], from a sample size of 36 is mathematically represented as
[tex]\mu_{\= x } = \mu[/tex]
=> [tex]\mu_{\= x } = 100[/tex]
According to the Central Limit Theorem the test stated in the question is approximately normally distributed if the sample size is sufficiently large[tex](n > 30 )[/tex] so given that the sample size is large n = 36
Then the test is normally distributed and hence the standard deviation is 15
Generally the standard error of mean is mathematically represented as
[tex]\sigma_{\= x } = \frac{ \sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x } = \frac{15}{\sqrt{36} }[/tex]
=> [tex]\sigma_{\= x } = 2.5[/tex]
Generally the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as
[tex]P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(\frac{\= X - \mu }{\sigma_{\= x }} <\frac{105.1 - 100}{2.5} )[/tex]
=> [tex]P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(Z<2.04 )[/tex]
From the z-table (reference calculator dot net )
[tex]P(Z<2.04 ) = 0.97932[/tex]
So
[tex]P( \= X \ge 105.1 )= 1 - P(\= X < 105.1) = 1- 0.97932[/tex]
[tex]P( \= X \ge 105.1 ) =0.02[/tex]
How many whole tens are in 3,200
Answer:
320
Step-by-step explanation:
There are 320 tens in 3,200.
320 x 10 = 3200
Answer:
320
Step-by-step explanation:
3200/10=320
what is the annual simple interest rate?
I=$17, P=$500, t=2 years
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1.7 \: \%}}}}}[/tex]
Step-by-step explanation:
Given,
Interest ( I ) = $ 17
Principal ( P ) = $ 500
Time ( T ) = 2 years
Rate ( R ) = ?
Finding the simple Interest rate :
[tex] \boxed{ \bold{ \sf{rate = \frac{interest \times 100}{principal \times time}}}} [/tex]
[tex] \dashrightarrow{ \sf{rate = \frac{17 \times 100}{500 \times 2} }}[/tex]
[tex] \dashrightarrow{ \sf{rate = \frac{1700}{1000} }}[/tex]
[tex] \dashrightarrow{ \sf{ rate = 1.7 \: \%}}[/tex]
Hope I helped!
Best regards! :D
Suppose a deep sea diver dives from the surface to 202 feet below the surface. He then dives down 12 more feet. Use integers to represent this situation. Then find
the diver's present depth.
Which expression best represents the diver's situation.
O A. O + (-202) + 12
OB. 0 + (-202)+(-12)
OC. 0+202 +(-12)
OD. 0+202 + 12
The diver is presently feet below the surface.
(Simplify your answer.)
Answer:
B.) (-202)+(-12)
Step-by-step explanation:
The undersea level is negative then going under again will produce a completely negative answer.
Roll three fair 6-sided dice. What is the chance that they will all land on ace? What is the chance that they will not all land on ace? What is the chance that none of them will land on ace ?
Answer:
5% chance of ace and 15% of not landing ace
Step-by-step explanation:
lol trust me i play dice in school
Given the sets
A
and
B
expressed in interval notation, find
A
∩
B
.
A
=
(
−
∞
,
−
42
)
∪
(
−
25
,
+
∞
)
B
=
(
−
54
,
70
)
Answer:
Step-by-step explanation:
A∩B=[-54,-42]∪[-25,70]
4(x - 3) = 4(2x + 1)
Hi there! :)
Answer:
[tex]\huge\boxed{x = -4}[/tex]
4(x - 3) = 4(2x + 1)
Distribute the coefficient outside of the parenthesis:
4(x)+ 4(-3) = 4(2x) + 4(1)
Simplify:
4x - 12 = 8x + 4
Subtract 4x from both sides:
4x - 4x - 12 = 8x - 4x + 4
-12 = 4x + 4
Subtract 4 from both sides:
-12 -4 = 4x + 4 - 4
-16 = 4x
Divide both sides by 4:
-16/4 = 4x/4
x = -4.
Answer:
x=-4
Step-by-step explanation:
or 4*×-4*3=4*2x+4*1
or 4x-12=8x+4
or 4x-8x=4+12
or -4x=16
or x=16/-4
or =x=-4
the red line in the figure is an altitude of triangle ABC. Using right angle trigonometry, write an equation involving sin C
Answer:
[tex]\Large \boxed{\mathrm{\bold{C}}}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
The side opposite to [tex]\angle C[/tex] is h.
The hypotenuse of the smaller right triangle is a.
[tex]\sf \displaystyle sin(C)=\frac{h}{a}[/tex]
Answer:
sinC = [tex]\frac{h}{a}[/tex]
Step-by-step explanation:
Since the red line is an altitude then the triangles are right, thus
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{a}[/tex]
the height of the house is 26 feet what is the height x of each story?
Answer:
1 story=26, 2 stories=13 3 stories= 8.666666 4 stories= 6.5 5 stories=5.2
Step-by-step explanation:
Amber owns a plum orchard, and needs to harvest at least 2293 plums to cover the costs of running the orchard, but also wants to donate 280 plums to charity. If each tree bears an average of 83 plums, how many plum trees need to be in the orchard? Express your answer in interval notation.
Answer:
27 trees needs to be in the orchard.
Step-by-step explanation:
amber needs to harvest at least 2293 of plums to cover the cost of running the orchard.
but also wants to donate 280 plums.
each tree produces an average of 83 plums
find: how many plums of trees needed to be in the orchard?
number of trees required = total harvest / number of plums produced per tree
therefore,
number of trees required = 2293 / 83 ≅ 27 trees needs to be in the orchard.
so Amber can donate 280 plums to charity.
Please help me solve this 166=-w+66
Answer:
w = -100
Step-by-step explanation:
Step 1: Write out equation
166 = -w + 66
Step 2: Subtract 66 on both sides
100 = -w
Step 3: Divide both sides by -1
w = -100
Answer:
w=-100
Step-by-step explanation:
We are given the equation:
166= -w +66
To solve for x, we must get x by itself on one side of the equation.
66 is being added to -w. The inverse of addition is subtraction. Subtract 66 from both sides of the equation.
166-66= -w+66-66
166-66= -w
100= -w
-1 and w are being multiplied. The invers of multiplication is division. Divide both sides of the equation by -1.
100/-1= -w/-1
100/-1=w
-100=w
Let's check our solution. Plug -100 in for w.
166= -w+66
166= -(-100)+66
166=100+66
166=166
The statement above is true, so we know our solution is correct.
The solution to 166= -w+66 is w= -100
In a recent survey, three out of every five students said they would prefer going to a water park for the class trip.
If 105 students were surveyed, how many can be expected to prefer the water park?
O A 21
OB. 35
O c. 63
O D. 70
E. 103
Answer:
the answer is d
Step-by-step explanation:
Just multiply and divide
What is probability?
the quality or state of being probable; the extent to which something is likely to happen or be the case
We have,
Surveyed student = 105
Students would prefer to going to a water park= 3/5
According to question
students who expected to prefer the water park
= 105 × 3/5
= 21×5×3/5
= 21×3
= 63
Hence, students who expected to prefer the water park is 63
To learn more about probability from here
https://brainly.in/question/20635873
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A stock price S is governed where z is a standardized Wiener process. Find the process that governs G(t)
This question is incomplete, the complete question is;
A stock price S is governed by dS = aSdt + bSdz
where z is a standardized Wiener process. Find the process that governs G(t) = S^1/2(t)
Answer:
G = S^1/2
Step-by-step explanation:
Solving the Equation
dS = aSdt + bSdz
First we Take S common from Right hand Side
dS = S(a dt + b dz)
Then we also take S Left Hand Side(LHS) from RHS
dS/S = a dt + b dz
So d = a dt + b dz
now we Take d Common from RHS
d = d(a t + b z)
So
d/d = a t + b z
1 = a t + b z
So, t = (1-b z) / a
Now substitute value of t in equation G(t) = S^1/2(t)
we have
G{(1- b z)/a} = S^1/2 {(1- b z)/a}
(1- b z)/a) from both sides cancels out each other
So we have G = S^1/2
Limes are on sale. That sale price is 8 limes for $2.00. Why could the unit rate be 4 or 0.25?
Answer:
C.No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.Step-by-step explanation:
The unit price of the 8 limes is $0.25 per lime.
The given expression:
The selling price for 8 limes = $2.00
To find:
if the unit price is $4 or $0.25The unit price of the lime is calculated by dividing the total selling price by the total number of limes purchased.
[tex]unit \ price = \frac{total \ amount \ paid \ for \ 8 \ limes }{8 \ limes } \\\\unit \ price =\frac{\$ \ 2}{8 \ limes } \\\\unit \ price = (\frac{1}{4} ) \frac{\$}{lime} \\\\unit \ price = \$0.25 \ per \ lime[/tex]
Thus, the unit price of the 8 limes is $0.25 per lime.
Learn more here: https://brainly.com/question/12418981
Given the figure below, find the values of x and z
Answer:
x=14 z=72
Step-by-step explanation:
(8x-40)+(12x-60)=180
20x-100=180
20x=280
x=14
(12x-60)+z=180
(168-60)+z=180
108+z=180
z=72
15. Bradley has a goal to work 28 hours each week at the pizza shop. So far he has
worked 12 hours. How many more hours does he need to work to meet his goal?
70
Simplify: 3(2x-y)-(5x+4y-2)
Please show steps
Answer:
6 x ^2 − 5 x y − 4 y ^2
Step-by-step explanation:
Expand
( 2 x + y ) (3 x − 4 y )
using the FOIL Method.
Apply the distributive property.
2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )
Apply the distributive property.
2 x ( 3 x )+ 2 x (− 4 y ) + y ( 3x − 4 y )
Apply the distributive property.
2 x ( 3 x ) + 2 x( − 4 y ) + y ( 3 x) + y ( −4 y )
Simplify and combine like terms.
6 x ^2 − 5 x y − 4^ 2
Step-by-step explanation:
so it is 3×2=6 3×y=3y so here it 6-3 =3
5+4=9-2=7
so 7-3=4
what is the probability that a randomly selected driver fatality who was female was 55 to 69 years old
Answer:
0.1354
Step-by-step explanation:
Relevant data provided as per the requirement is shown below:-
Female probability of age between 55 to 69 = 2058
Male probability of age between 55 to 69 = 4571
According to the given situation, the calculation of probability is shown below:-
[tex]= \frac{Female\ from\ 55\ to\ 69 }{Total\ female}[/tex]
where,
Total female is
= 143 + 2333 + 4027 + 5178 + 2058 + 1459
= 15,198
And, the female is 2058
So, the probability is
[tex]= \frac{2058}{15,198}[/tex]
= 0.1354
Therefore for computing the probability of female that lies between 55 to 69 we simply applied the above formula.
I need help with the following question, whichever one is right will get brainliest!
Given: m∠A + m∠B = 90° (Definition of Complementary Angles).
Given: m∠B = (5x + 8)°
A) m∠A = 180° + (5x + 8) is your answer choice:
Why it isn't the others:
B) m∠A = 90° - (5x + 8)
You are solving for complementary angles (90° in total when combined), so you subtract the measurement for B (5x + 8) to get A.
C) m∠A = 180° - 2(5x + 8)°
You double the complementary angle to solve for the supplementary. Essentially, just divide this answer by two to get the complementary angles.
D) m∠A = 82 - 5x
I was confused by this one, but essentially they just did one step of the isolating the variable, which was subtracting 8 from both sides. They did not finish isolating the variable however.
Answer 9w-4=14 show solving steps pls
Answer:
[tex]w=2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]9w-4=14[/tex]
Add 4 to both sides. The left cancels:
[tex](9w-4)+4=(14)+4\\9w=18[/tex]
Divide both sides by 9.The left cancels:
[tex](9w)/9=(18)/9\\w=2[/tex]
So, the value of w is 2.
And we're done :)
A fruit bowl has 5 apples 7 oranges and 4 bananas. What is the ratio of apples to bananas?
Answer:
5 apples to 4 bananas
Step-by-step explanation:
Answer:
5:4
Step-by-step explanation:
A ratio divides the number with a colon. And since there are 5 apples to 4 bananas, the ratio of apples to bananas would be 5:4 (or another way to write it is 5 to 4)
a 3 yard roll of waxed paper costs $3.33. what is the price per foot?
Answer:
$.37 per foot
Step-by-step explanation:
1 yd = 3ft
3 yd = 3*3 = 9ft
Take the dollar amount and divide by the number of ft
3.33 / 9
$.37 per foot
Answer:
$0.37 per foot
Step-by-step explanation:
3 feet=1 yard 3 yards= 9 feet
First Way:
3.33 divided by 9 = 0.37
Second Way:
9x= 3.33
9x÷9. 3.33÷ 9
x= 0.37 per foot
How do you solve this equation by using the quadratic formula 8x^2+3x-45=0
The 8 is a, the 3 is b and -45 is c
Plug them into the quadratic formula
Minstrel Manufacturing uses a job order costing system. During one month, Minstrel purchased $198,000 of raw materials on credit; issued materials to production of $195,000 of which $30,000 were indirect. Minstrel incurred a factory payroll of $150,000, of which $40,000 was indirect labor. Minstrel uses a predetermined overhead rate of 150% of direct labor cost. The total manufacturing costs added during the period is:
Answer:
$440,000
Step-by-step explanation:
Direct material:
= $195,000 - $30,000
= $165,000
Direct labor:
= $150,000 - $40,000
= $110,000
Manufacturing overhead:
150% of direct labor cost.
= $110,000 x 150 ÷ 100
= $16,500,000 ÷ 100
= $165,000
Total manufacturing costs:
= $165,000 + $110,000 + $165,000
= $275,000 + $165,000
= $440,000
The total manufacturing costs added during the period is: $440,000
1. Graph the line y=2x+5 on the graph.
Answer:
See below
Step-by-step explanation:
We can simply use a graphing calculator to carry it out.
See the attached file for more explanation!
Another way is that we can take the values of x as 1,2 and 3 and so on and put it in the equation to get the value of y. We have some coordinates now so we'll plot them in the graph to get the line of y = 2x+5.
Step-by-step explanation:
Hope this helps........
As a surveyor, you measure an angle of elevation as 35.25 degrees. You are required to record all measurements in fraction form. What is the degree measure of the angle written as a fraction?
Answer:
35 1/4
Step-by-step explanation:
Answer:
B for edge
Step-by-step explanation:
If x=4 what is the value of 2x+18
Answer:
26
Step-by-step explanation:
2x + 18
2(4) + 18
8 + 18
26
Answer:
26
Step-by-step explanation:
We just substitute the value of X and find the answer
A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units,what is the base
Answer:
5.1 units
Step-by-step explanation:
A=b x h divide by 2
20.4=4b
b=5.1 units
Find the value of x in the triangle shown below.
12
Answer:
The answer is option CStep-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
c² = a² + b²
where
c is the hypotenuse
From the question x is the hypotenuse
So we have
[tex] {x}^{2} = {5}^{2} + {12}^{2} \\ x = \sqrt{25 + 144} \\ x = \sqrt{169} [/tex]We have the final answer as
x = 13Hope this helps you
What is an equation for "five more than the
product of 7 and a number t is 10?"
Answer:
Option (B) will be the correct option.
Step-by-step explanation:
Statement states "five more than the product of seven and a number t is 10."
Split this statement into parts.
1). Product of 7 and a number 't' = 7 × t
2). 5 more than the product of 7 and a number 't' = 7t + 5
3). Five more than the product of 7 and a number t is equal to 10 ⇒ 7t + 5 = 10
Therefore, Option (B) will be the correct option.