Answer:
117%
Step-by-step explanation:
17.433=x/100(14.9)
1743.3/14.9=x
117
A research study showed that a sample of 25 dosages from a medicine dispensing machine averaged 24.1 mg of a certain drug. The sample standard deviation was 1.8 mg. a) Form a 99% confidence interval of the population average of drug dosage dispensed. b) Explain what this interval means to someone unfamiliar with this research.
Answer:
a) The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.
b) It means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
a)
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{1.8}{\sqrt{25}} = 1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 1 = 23.1 mg
The upper end of the interval is the sample mean added to M. So it is 24.1 + 1 = 25.1 mg
The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.
b)
The interval means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.
What is the determinant of the coefficient matrix of the system
–7
–2
–1
0
Answer:
0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took the quiz on edg
What is the constant rate of change between the two quantities in the table?
Can the sides of a triangle have lengths 5, 12, and 17?
Answer:
well it can have 5 and 12
Mr. Brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. He has drawn a sketch on a coordinate grid.
He has the lower vertices of the sign at (9,-3) and (-6, -3). Where would the upper vertices be on the grid?
Answer:
(9,2) and (-6,2).
Step-by-step explanation:
Rectangular Coordinates
The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).
Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.
The upper vertices of the sign on the grid are (9,2) and (-6,2).
y=4, -4y + 5 evaluate it please
Answer:
x+6y=5 (in standard form) y=-1/6x+5/6 (in slope-intercept form)
Step-by-step explanation:
A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
i’ll give brainliest;)
Answer:
Number of black counters = 5
Step-by-step explanation:
Let,
x be the total number of counters
Number of red counters = [tex]\frac{1}{3}x[/tex]
Number of black counters = [tex]\frac{1}{6}x[/tex]
Number of green counters = 15
Now,
Red counters + Black counters + Green counters = Total counters
[tex]\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{90}{3}\\x=30[/tex]
Number of black counters = [tex]\frac{1}{6}*30[/tex] = 5
Hence,
Number of black counters = 5
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively.
Given that Davina gets 48 sweets, how many sweets did Nikhil get?
Answer:
Step-by-step explanation:
last week Pizza Port served 264 vegetarian pizzas out of a total of 792 pizzas based on this data what is the probability that the next pizza or is not a vegetarian pizza A) 2/3 B) 3 C) 3/2 D) 1/3
Can somebody plz help me?
Gina surveyed students about their lunch time preference. Out of 50 students, 20 prefer eating lunch at 11:00am, 15 prefer eating at 11:15a.m., 10 prefer eating at 11:30a.m. , and 5 have no preference. Based on the information, what is the probability that a student chosen at random has no lunch time preference?
Pls help me I’ll brainlest for the right answer plssss help I’m failing math grades close today
Answer:
it decreased by 40%
Step-by-step explanation:
Consider the line y=7x-5.
Find the equation of the line that is perpendicular to this line and passes through the point (-3, – 3).
Find the equation of the line that is parallel to this line and passes through the point (-3, – 3).
Equation of perpendicular line: 0
D=
Х
$
2
Equation of parallel line:
Answer:
a)The equation of the Parallel line to the given line is
7x -y +18 =0
b) The equation of the Perpendicular line to the given line is
-x +7y +18 =0
Step-by-step explanation:
Step(i):-
Given that equation of the line y = 7x -5
7x -y -5=0
The equation of the Parallel line to the given line is
7x -y +k=0
This line is passes through the point ( -3,-3)
7 ( -3) -(-3)+k=0
-21 +3+k=0
-18 +k=0
k =18
The equation of the Parallel line to the given line is
7x -y +18 =0
Step(ii):-
Given that equation of the line y = 7x -5
7x -y -5=0
The equation of the perpendicular line
b x -ay +k=0
The equation of the Perpendicular line to the given line is
-x +7y +k=0
This line is passes through the point ( -3,-3)
-(-3)+7(-3) +k=0
3 - 21 +k=0
-18 +k=0
k =18
The equation of the Perpendicular line to the given line is
-x +7y +18 =0
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
m=-5
Step-by-step explanation:
i givvveee brainlilsttttyt
Answer:
5, -5
Step-by-step explanation:
Answer:
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Step-by-step explanation:
gh hg ghghbgvnghnk/.kl.ghn nb yhgkuylh89gmndfnuyhfgmdtym bh
At a local basketball game, all tickets are the
same price and all souvenirs are the same price.
Mr. Smith bought 2 tickets to this basketball game
and 1 souvenir for a total of $17.25. Ms. Lockhart
bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to
this game?
A - Mr. Smith
17.25 ÷ 3
= $5.75 ~ $6 Rounded-Off
B - Ms. Lockhart
42 ÷ 7
= $6
Each Ticket Costs approx. $6 Each
Consider the Function
Which function could be the inverse of function f?
Answer:
Explanation below, despite missing details in question.
Step-by-step explanation:
The function isn't given but we know it's labelled "f".
The inverse of a function (likewise the inverse of any other quantity) is simply the function turned up-side-down.
To invert a function, you switch the places of both numerator and denominator. Example:
f = [tex]\frac{x}{y}[/tex]
the inverse of the function above is y/x
If the function is not in fraction form or doesn't have a visible denominator, take the denominator to be 1.
The denominator of every number or function is 1, so you'll be correct doing this.
If f = 2n +5 then the inverse of f will be [tex]\frac{1}{2n + 5}[/tex]
NOTE: Inverse of f ≡ 1/f ≡ [tex]f^{-1}[/tex]
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
Find the length of the missing side.
Answer:
5
Step-by-step explanation:
12x12-13x13=b2
144-169=b2
25
[tex]\sq\sqrt25\\[/tex]=5
What is the approximate area of the shaded sector in the circle shown below? 145°
A. 34.6 in2
B. 4.68 in 2
C. 17.3 in2
D. 9.36 in2
Answer: 17.3 in 2
Step-by-step explanation
The approximate area of the shaded sector is 34.6 in2.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
Angle = 145°
Now,
The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.
Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.
Therefore, by the area the answer will be 34.6 in2.
Learn more about area of a composite figure here:
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If AC = 7x-3 and CB = 3x + 9, then find the
length of AB.
A 3
B 18
C 9
D 36
с
B
On a 30 question test, Janice answered four-fifths of the questions correctly-
Which of the following is the number of questions she answered correctly?
A.26
B.24
C.38
D.25
A random sample of 374 United States pennies were collected and the age of each penny was determined
Answer:
16
Step-by-step explanation:
The interquartile range of pennies is 16. Interquartile range is also known as 50% or the midpoint. Interquartile is the smallest point of measurement. The whole data set is divided into quartiles and data is spread evenly in every range.
Determine two coterminal angles (one positive and one negative) for each angle. Give your answer in radians. (Enter you answer as a comma-separated list)
Answer:
The answer is below
Step-by-step explanation:
Coterminal angles are angles with the same terminal side at standard position (angles with the initial side on the positive x-axis). Coterminal angles may have different magnitude but they would have equal sides and vertices.
Coterminal angles can either be positive or negative. The positive coterminal is gotten by adding 2π rad or 360° while the negative coterminal is gotten by subtracting 2π rad or 360°.
a)
Positive coterminal angle = [tex]\frac{5\pi}{4}+2\pi=\frac{13\pi}{4} \ rad[/tex]
Negative coterminal angle = [tex]\frac{5\pi}{4}-2\pi=\frac{-3\pi}{4} \ rad[/tex]
b)
Positive coterminal angle = [tex]\frac{-9\pi}{4}+2\pi=\frac{-\pi}{4}+2\pi=\frac{7\pi}{4} \ rad[/tex]
Negative coterminal angle = [tex]\frac{-9\pi}{4}-2\pi=\frac{-17 \pi}{4} \ rad[/tex]
PLEASE HELP!!! ILL GIVE U 10 POINTS AND BRAINLIEST
Answer:
D. - 2x - 8
Step-by-step explanation:
Given
-1 /3 ( 6x + 15 ) - 3
= - 1/3 * 6x + ( - 1/3 * 15) - 3
= - 2x - 5 - 3
= - 2x - 8
Hope it will help :)
Find the values of x and y.
48°
(5x - 17)
Х
and y =
Answer:
sabotageueehddydhdhdiejhf
Step-by-step explanation:
(5x+74)
Compare: (4x10 to the 3rd power) + (2x100) + (3x1/10) ____ (4x1000) + (2x10 to the 2nd power) + (3x1/10)
Answer:
Take your time to complete the equation. Don't rush. This is very easy you just need to be patient..
Step-by-step explanation:
what is 3335 ÷ 23
[tex]3335 \div 23[/tex]
Answer:
145
Step-by-step explanation:
Solve for x 2x-13=3
X=8
X=-5
X=10
X=-8
Answer:
X=8
Step-by-step explanation:
2x-13=3 first, add 13 to both sides
2x=16 second, divide by 2 on both sides
x=8 This is the right answer
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. By
what percent is the student's estimate off?
Answer:
She is wrong. Since is .5, you round up to the nearest tenth. So it is 2.0
Step-by-step explanation:
If student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Then by 4% the student's estimate off
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The container of a student has a volume of 2.5 liters.
She estimates the volume to be 2.4 liters
We need to find the percent of student's estimate off.
To find this we have to find the difference of 2.5 and 2.4
2.5-2.4=0.1
Now divide zero point one divided by two point five
0.1/2.5
0.04
Multiply with hundred
0.04×100=4%
Hence 4 % is the students estimate off
To learn more on Percentage click:
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Gio hiked six miles in two hours. At this rate, what is the total number of miles Gio could hike in nine hours?
Answer:
27 miles
Step-by-step explanation:
3 mph is rate speed,
3 x 9 = 27 miles
Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees