Answer:
97 students must be randomly selected for IQ tests.
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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
The Standard Deviation is 15.
This means that [tex]\sigma = 15[/tex]
How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?
This is n for which M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.96*15[/tex]
Simplifying both sides by 3
[tex]\sqrt{n} = 1.96*5[/tex]
[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]
[tex]n = 96.04[/tex]
Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):
97 students must be randomly selected for IQ tests.
The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?
Answer:
1/4 in 36 hours
1/8 in 72 hours
To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.
Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.
After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.
To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:
(1/2) * (1/2) = 1/4 or 0.25
Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.
To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:
(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625
Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.
In summary:
After 36 hours, 1/4 or 0.25 of the original drug dose remains.
After 72 hours, 1/16 or 0.0625 of the original drug dose remains.
To know more about fraction here
https://brainly.com/question/30154928
#SPJ2
What is the range of the data set 1 2 3 4 5 6 7
Answer:
6
Step-by-step explanation:
Range = Highest number - Smallest number
From the data
Highest number = 7
Lowest number= 1
Range = 7 - 1
RAnge = 6
Hence the range of the dataset is 6
3. Jane and Brittany have been saving up for their summer vacation. After how many days will
they have the same amount of money saves?
PLEASE HELPPPPPPPPP MEEE!
Let's calculate
4/15×285 + 3/20×320 = 124
124 students are participating in these exercises.
7 students is participating
Which of the following is equal to 2?
6 + 4 = (2 + 1) * 3
(6 + 4 + 2) - 13
6 + (4 + 2) + 1 x 3
(6 + 4) - 2 - 1 x 3
Answer:
no equation is equal to 2 all are greater than 2
If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the
new function?
• Shift 1 unit left
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
O A. g(x) = -3(x + 1)2
B. g(x) = -3x2 - 1
C. g(x) = (-3x + 1)2
D. 9(x) = -3(x - 1)
Answer:
C. g(x) + (-3x + 1)2
Step-by-step explanation:
did the test for it
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
What is the approximate volume of the cone
below?
Answer:
183 cm³
Step-by-step explanation:
V(cone) = 1/3πr²h
= (π5²·7) ÷ 3
= 175π ÷ 3
≈ 58π or 183 cm³
Find the radian measure of 120 degrees.
Answer:
The radian :
[tex] \frac{2\pi}{3} [/tex]
Similar Triangles
You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.
a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet
Please select the best answer from the choices provided
Answer:
A. 140 feet
Step-by-step explanation:
I calculated it logically
4x-3+2x-7+5x-1=58
What is x?
Answer:
69/11
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−3+2x−7+5x−1=58
4x+−3+2x+−7+5x+−1=58
(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)
11x+−11=58
11x−11=58
Step 2: Add 11 to both sides.
11x−11+11=58+11
11x=69
Step 3: Divide both sides by 11.
11x /11 = 69/11
Answer:
x = 69/11
Step-by-step explanation:
4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓
11x - 3 - 7 - 1 = 58
11x - 11 = 58 move the constant to the right-hand side and change its sign ↓
11x = 58 + 11 add the numbers ↓
11x = 69 then divide both sides of the equation by 11 ↓
x = 69/11 ;)
Can someone help me please
3x^2 = 48
Divide both sides by 3
3x^2 ÷ 3 = 48 ÷ 3
x^2 = 16
Take a square root from both sides
√x^2 = + √16 " OR " √x^2 = - √16
x = 4 " OR " x = - 4
Thus the correct answer is option 3 .
please do both of them THANK YOU
Answer:
4(3+x)
4x+12
Step-by-step explanation:
Hi there! I am Mizuki, and I'm just answering lol
Anyways, the answer for the first problem is 12 + 4x = 44
The answer for the second problem is 8
Work:
12 + 4x = 44
4x = 32
x = 8
Graph the solution to this system of inequalities in the coordinate plane. y > 1/4x + 6 y>2x - 4
Answer:
WVAD
Step-by-step explanation:
wdvvvvavdv
change 1/4 to percent.
a.20%
b.25%
c.75%
d.100%
What is the product?
2 3 4
5 9 -1 -7
11 5 -3
Answer:
-1247400
Step-by-step explanation:
See the Image below:) I believe this is what you are looking for.
PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST
A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?
Select one:
A. The size of the population
B. The length of time the people smoked
C. All the information you need is contained in the problem
D. The amount of confidence you desire in your estimate
Answer:
C. All the information you need is contained in the problem.
310 people of 1000 people smoke.
Step-by-step explanation:
[tex]\frac{y}{1000}: \frac{31}{100}[/tex]
y · 100 = 31 · 1000
100y = 31000
100y ÷ 100 = 31000 ÷ 100
y = 310
Find the next term of the sequence 2, 8, 32, ...
the next term of sequence is 128
https://www.amphi.com/cms/lib/AZ01901095/Centricity/Domain/4604/6th%20ELA%20website%20040620.pdf
I HELP FOR THIS ANSWER THIS ANSWERS
THIS FOR GRADE PLEASE HELP
Answer:
I tried but it said 4 0 4 e r r o r i d k why
Step-by-step explanation:
ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?
Answer:
3888
Step-by-step explanation:
Answer:
25% of 972= 243
243+972=1215 students
Which pair of expressions below are equivalent (the same)?
a) 4(3b) and 7b
b) 4b + 5b and 20b
c)-5(2b + 2) and 20b
d) 3b + b + 2b and 6b
Please help it’s really important
Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?
44
88
104
188
Answer: 88
Step-by-step explanation:
got it right 2022 edge
FINALSSSSSS
I need help on this ASAP!!!!
Answer:
geometry?
Step-by-step explanation:
SHEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESH
.
What is the equation of the line that passes through point (3, −1) and has a slope of 2?
Answer:
y = 2x - 7
Step-by-step explanation:
Look at the image: This is how I solved the problem
Give an example of a physical entity that is not quantized, in that it is continuous and may have a continuous range of values.
Answer:
contrary wise the energy of unbound states is not quantized as the wave function is not subject to the previous boundary condition
what is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer
Answer:
183
Step-by-step explanation:
The perimeter of the rectangle measured in centimeters is 26 cm.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a rectangle in the figure.
The length of the rectangle = 7 cm
Width of the rectangle = 6 cm
We have to find the perimeter of the rectangle.
Perimeter of the rectangle = 2(l + w), where l is the length and w is the width.
Perimeter = 2(7 + 6)
= 2 × 13
= 26 cm
Hence the perimeter is 26 cm.
Learn more about Perimeter here :
https://brainly.com/question/29595517
#SPJ2
What additional information is needed to prove the following triangles congruent by ASA?
Answer:
angle B = angle C
Step-by-step explanation:
______________
Step-by-step explanation:
hdjsje dhd d sis s. sjxjdns
Lil' HydroPhil owns five pieces of precious apparel and wants to choose two to wear to the awards show. He defines his precious apparel as: platinum nose ring, diamond shirt, titanium boots, suede pants, and beryllium hat. Assuming the selection is random and each has an equally likely outcome, determine the probability HydroPhil chooses a combination that includes the suede pants.
Answer:
The probability HydroPhil chooses a combination that includes the suede pants is 0.40
Step-by-step explanation:
Given
Let
[tex]P \to Platin um\ no se\ ri ng[/tex]
[tex]D \to Diamond\ shirt[/tex]
[tex]T \to Titanium\ boots[/tex]
[tex]S\to Suede\ pants[/tex]
[tex]B\to Beryllium\ hat[/tex]
Required
Probability of selecting a combination that has S
First, list out all possible combinations (A) of 2
[tex]A = \{PD, PT, PS, PB, DT, DS, DB, TS, TB, SB\}[/tex]
The sample size is:
[tex]n(A) = 10[/tex]
The combinations that has S are:
[tex]S \to \{PS, DS, TS, SB\}[/tex]
The size is:
[tex]n(S) = 4[/tex]
So, the probability that he choose the combination that has S is:
[tex]Pr = \frac{n(S)}{n(A)}[/tex]
[tex]Pr = \frac{4}{10}[/tex]
[tex]Pr = 0.40[/tex]
Solve similar triangles (advanced)
Solve for X
X=?
Step-by-step explanation:
if x is from B to D then it's 12-2= 10
x= 10