Answer:
C) The mean is about 100.
Step-by-step explanation:
We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:
Let [tex]a[/tex] be the mean (average) of the values:
[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.
It is desired to estimate the average time it takes Statistics students to finish a computer project to within two hours at 90% reliability. It is estimated that the standard deviation of the times is 14 hours. How large a sample should be taken to get the desired interval? n = 231 n = 189 n = 325 n = 133
Answer:
n = 133.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of the times is 14 hours.
This means that [tex]\sigma = 14[/tex]
How large a sample should be taken to get the desired interval?
Within 2 hours, which means that we want n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{14}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*14[/tex]
Dividing both sides by 2
[tex]\sqrt{n} = 1.645*7[/tex]
[tex](\sqrt{n})^2 = (1.645*7)^2[/tex]
[tex]n = 132.6[/tex]
Rounding up, n = 133.
Please look at the image
Answer:
2) <TWN and <SWM
Step-by-step explanation:
2) <TWN and <SWM
Answer:
(2)
Step-by-step explanation:
This is because they are both vertical to one another!
Hope this helps!
Anyone here able to lend a helping hand?
Answer:
Step-by-step explanation:
1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.
Therefore, vertical intercept is y = 1000.
In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.
2). From the graph attached, point (x, y) represents,
x = Time 't' or duration
y = concentration of the drug after time 't'
Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour
Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour
Therefore, fraction of drug remained = [tex]\frac{750}{1000}[/tex]
= [tex]\frac{3}{4}[/tex]
3). Let the equation, representing the concentration of the drug and time is,
[tex]y=a(b)^t[/tex]
Here, a = Initial amount of the drug (at t = 0 hours)
= 1000 mg
At (t = 1 hours), concentration of the drug = 750 mg
[tex]y=1000(b)^t[/tex]
[tex]750=1000(b)^1[/tex]
[tex]b=\frac{750}{1000}[/tex]
[tex]b=\frac{3}{4}[/tex]
Therefore, equation will be,
[tex]y=1000(\frac{3}{4})^t[/tex]
please help me with this !!
Answer:
m∠J = 32°
m∠G = 78°
Step-by-step explanation:
ΔHJI ≈ ΔGEF respectively means;
∠H ≅ ∠G
∠I ≅ ∠E
∠J ≅ ∠F
Therefore;
Since ∠F = 32°, then ∠J = 32°
Since ∠H = 78°, then ∠G = 78°
Hope this helps!
HELP HELP HELP HELP!!!!
Answer:
18ft^2
Step-by-step explanation:
to find area of a triangle you you multiply the base times height then divide by 2 which for this question will come out to be 2. The area of square in this question is 4 time 4 which equals to 16. 16 plus 2 is 18, so the and is 18ft^2
If you have $100 and then lose $25 what is the percent change
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
The lost percentage is 25%
The percentage remaining is 75%
ThanksThanksHope it helpsTo find out your balance on a savings account at a bank, which
measurements must be accurate? Check all that apply.
A. Interest rate
B. The number of times interest is calculated for your account
C. Number of customers at the bank per day
Let f(x) = 2x – 1 and g(x) = 3x
Find g(f(x))
Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective
Answer:
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Step-by-step explanation:
For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Five percent of all blue ray players manufactured by a large electronics company are defective.
This means that [tex]p = 0.05[/tex]
A quality control inspector randomly selects three players from the production line.
This means that [tex]n = 3[/tex]
What is the probability that exactly one of these three blue ray players is defective?
This is P(X = 1). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354[/tex]
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?
Answer:6
Step-by-step explanation:
The original number that was multiply by 5 instead of 3 is 6.
What is the orignal number?The equation that can be used to represent the informatioin in the question is:
5x - 3x = 12
Where x is the original number
In order to determine the value of x, take the following steps
Combine similar terms: 2x = 12
Divide both sides by 2
x = 6
To learn more about multiplication, please check: https://brainly.com/question/3385014
A landscaper needs to prepare 5 identical conical-shaped hanging planters by filling three-quarters of each planter with soil. If the diameter of each planter is 14 inches and the height is 28 inches, approximately how much soil is required for all the planters
Answer:
Amount of soil need = 5,331.255 inch³ (Approx.)
Step-by-step explanation:
Given;
Number of conical planters = 5
Volume used in each planter = 3/4
Diameter of planter = 14 inch
Height of planter = 28 inch
Find:
Amount of soil need
Computation:
Radius of planter = 14 /2
Radius of planter = 7 inch
Amount of soil need = [Number of conical planters][Volume used in each planter][Volume of each planter]
Amount of soil need = [5][3/4][(1/3)(π)(r²)(h)]
Amount of soil need = [5][0.75][(0.33)(3.14)(7²)(28)]
Amount of soil need = [5][0.75][(0.33)(3.14)(49)(28)]
Amount of soil need = [3.75][1,421.66]
Amount of soil need = 5,331.255 inch³ (Approx.)
Answer for brainlest
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°
Step-by-step explanation:
[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]
What is 36 1/2 of 146?
Answer:
This question is not worded well (textbook's fault, not yours) so there are two possible answers.
5329 or 1/4.
Step-by-step explanation:
If it means 146 36.5 times; then 36.5 • 146 = 5329 .
But if it means 36.5 out of (over) 146; then 36.5 ÷ 146 = 1/4 (aka 0.25)
Solve the equation –15 + 10y = 25 for y.
Answer:
y = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-15 + 10y = 25
Step 2: Solve for y
[Addition Property of Equality] Add 15 on both sides: 10y = 40[Division Property of Equality] Divide 10 on both sides: y = 4convert 77 ft to yards
Answer:
25.6667
Step-by-step explanation:
Divide the length value by 3.
77 divided 3 =
25.6667
Answer:
Step-by-step explanation:
25.66 SQM
A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.
The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is [tex]2\pi r [/tex] . Similarly when angle is theta ,
[tex]\implies Arc = radius \times \theta [/tex]
Now substitute respective values , from the given data ,
[tex]\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}[/tex]
This is our required answer!
Why don't we use the Richter scale anymore?
Answer:
The Richter scale was abandoned because it worked best for earthquakes in southern California, and only those hitting within about 370 miles (600 kilometers) of seismometers. These days, scientists detect temblors on the other side of the Earth. In addition, the scale was calculated from one type of earthquake wave, a kind that doesn't help much when measuring truly massive quakes, like Japan's magnitude-9 in 2011. So seismologists created a new scale, called the moment magnitude scale. The moment magnitude scale captures all the different seismic waves from an earthquake, giving a better idea of the shaking and possible damage.
Step-by-step explanation:
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Which expressions are equivalent to
-90-60w?
Choose 3 answers:
A) -30(3+2w)
B) (-9-6w)•10
C) -3(30-20w)
D) (6+4w)x15
E) -20(4.5+3w)
Answer:
C
Step-by-step explanation:
-30(3+2w= the other way around
c the better way around!
Thank you make me brainliest please!
LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this
QUICK GIVING BRAINLIEST TO CORRECT ANSWER
Answer:
4cm
Step-by-step explanation:
length is how tall, so 4cm
ASAP pls ...............
Answer:
36%
Step-by-step explanation:
There are 25 muffins 9 are carrots so that would mean the equation would be 9/25. Since this is a percentage we would change 25 to 100 by multiplying by 4 and multiplying the top by 4 as well which will result in 36/100 or 36%.*hope this helps*
PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE
What is the length of the line? ILL MARK YOU BRAINLIEST PLS HELP
Answer:
D
Step-by-step explanation:
6^2 is 36 1^2 is 1. 36+1=37 sqrt 37
X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14
9514 1404 393
Answer:
11
Step-by-step explanation:
4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11
or
4 × (2 3/4) = 4 × 11/4 = 11
Please someone can help me...
Answer:
C
Step-by-step explanation:
Although I don't see the graph, I will assume it's a graph about the relationship between time and distance walked.
Here's the logic:
If you walk a longer time, your distance increases.
Is (x - 1) a factor of 2x^3– 3x^2– 18x – 8?
Answer:
No.
x-1 is not a factor of the polynomial
X-1 = 0
X = 1 ........(1)
put the value of X in given equation
2 (1)^3-3(1)^2-18(1)-8=0
2-3-18-8=0
-27 is not equal to 0.
x-1 is not factor of given equation....
help me pls i’m stuck
Answer:
m=1
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m=change in y / change in x
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]
Janice has $35.50
She has $10.35 more than Siti
siti has $12.80 less than Amiya
How much money does Amiya
have
siti = x
Janice = 35.50$
Janice = 10.35 + x = 35.50
x = 35.50 - 10.35
x = 25.15
Siti = 25.15$
Amiya = y
Amiya = y - 12.80 = 25.15
y = 25.15 - 12.80
y = 13.25$
The two figures are similar. Write the similarity statement. Justify your answer,
Answer:
Triangle RTS is similar to JLK
Step-by-step explanation:
Scale factor is 1.5
Solve X^2 - 6x = -5 by completing the square. Show all work for the steps below. A) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square? B) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. C) Solve for x. ( Will Mark Brainliest but no links or nonsense answers please) I Also Posted A Picture Of The Question And Steps so you can see what the question and steps are to take.
Answer:
Below.
Step-by-step explanation:
x^2 - 6x = -5
x^2 - 6x + 9 = -5 + 9 c = 9
(x - 3)^2 = 4
x - 3 = +/- sqrt4
x - 3 = +/- 4
x - 3 = 2 gives x = 5 and
x - 3 = -4 gives x = -1.