Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Normal Probability Distribution
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by and.
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]Z=\dfrac{98-100}{15}[/tex]
[tex]Z=-0.13[/tex]
Has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
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I have an assignment where I need 50 responses of how many hats you have. How many hats do you have?
To add more answer options, click the + Add an answer button below the answer options A and B. You can add up to 10 answer options in total for a multiple choice question. Indicate the correct answer(s) using the checkbox(es) aligned to the right of the answer options
Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000
in3
. One day, his sink
3
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Anthony scoop
out of the sink with this cup to empty it? Round the number of scoops to the nearest whole
number. Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must he scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
PLEASE HELP
worth 20 points.
Answer:
a) 80
b) 56
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
Answer:
a) 117.75
Step-by-step explanation:
3.14 * 2.5^2=19.625
19.625*6=117.75
The perimeter of rectangle is 48ft the length is 16 from. Whats is the area?
Answer:
128
Step-by-step explanation:
There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.
estimate for 290% of 40
Answer:
116
Step-by-step explanation:
290% as a decimal is 2.9. "Of" means multiply. You can now multiply 2.9 by 40 to get the answer 116.
Find the initial value for g(x)=.8(1.32)^x
Answer:
8
Step-by-step explanation:
I hope this helps! If it does, please mark me Brainliest! Thanks in advance!
The square of a number is 3 less than four times the number. Which values could be the number?
(More than one answer)
a. 3
b. 0
c. 1
d. -3
e. -1
Answer:
A and C.
Step-by-step explanation:
We are given that: "The square of a number (which we can call x) is three less than four times the number."
In other words:
[tex]\displaystyle x^2 = 4x - 3[/tex]
Hence solve for x by isolating the equation and factoring:
[tex]\displaystyle \begin{aligned} x^2 - 4x + 3 & = 0 \\ \\ (x-1)(x-3) & = 0 \\ \\ x & = 1 \text{ or } x = 3 \end{aligned}[/tex]
In conclusion, our answers are A and C.
An ellipse has foci F1(−5, 5) aF2(0, 7) and the point (0, 5) is on the ellipse. Identify the constant sum for the ellipse.
The constant sum for the ellipse with the foci (-5,5) and (0,7) and the point (0,5) is 7
How to determine the constant sum?The foci of the ellipse are given as:
F1(−5, 5) aF2(0, 7)
The point is then given as:
Point (0, 5)
Calculate the distance between each focus and the point using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]F_1 = \sqrt{(-5-0)^2 + (5-5)^2}[/tex]
Evaluate
[tex]F_1 = 5[/tex]
Also, we have:
[tex]F_2 = \sqrt{(0-0)^2 + (7-5)^2}[/tex]
Evaluate
[tex]F_2 = 2\\[/tex]
The constant sum is then calculated using:
Constant sum = F1 + F2
So, we have:
Constant sum = 5 + 2
Evaluate
Constant sum = 7
Hence, the constant sum is 7
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5/8 ÷ 3/4
I Need help?
LIKE NOW!!!
Answer: 5/6
Step-by-step explanation:
5/8 / 3/4
5/8 * 4/3= 20/24
20/24 / 4/4 = 5/6
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
Answer:
153.86 ft squared
Step-by-step explanation:
A = πr^2
A = 3.14(7)^2
A = 3.14*49
A = 153.86
Hope this helps, good luck on the test!
How do I find both answer for this question??
Answer:
(a) 46°
(b) 86°
Step-by-step explanation:
When the secants cross externally (figure a), the angle where they cross is half the difference of the subtended arcs.
When they cross internally (figure b), the angle is half the sum of the subtended arcs.
__
(a)Half the difference of arcs VW and VX is ...
∠VYW = 1/2(160° -68°) = 46°
m∠VYW = 46°
__
(b)Half the sum of arcs AB and CD is ...
∠CED = 1/2(arc AB +arc CD)
2×∠CED = arc AB +arc CD . . . . . multiply by 2
2×∠CED -arc AB = arc CD . . . . . subtract arc AB
arc CD = 2×85° -84° = 86°
m arc CD = 86°
The volume of a cube is 979cm3. Work out the length of its side rounded to 1 DP.
Answer:
9.9
Step-by-step explanation:
Volume of cube= side x side x side = (side)³
(side)³ = 979
= side = ∛979
= 9.9
Ms. Duran kept track of her personal
finances yesterday using dollar amounts
written on the index cards shown below.
The amount of dollars that Ms. Duran would have at the end of the day if she started the day with $0 is 665 dollars.
What is the balance at the end of the day?The value of the account will increase when she receives her pay check and wine the lotto earnings. The value of the account would decrease when she pay for gasoline, groceries and phone bill.
Balance = 895 - 95 - 129 - 84 + 78 = 665 dollars
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Giveing out 100 points to whoever gets it right! Need help soon!
Answer:
225.5 sq. mm
Step-by-step explanation:
triangle:5x(9+4+4+4)=15x21÷2=157.5
5x(4+4)=5x8=40
7x4=28
157.5+40+28=157.5+68=225.5
Which is NOT an optional supplemental material to enhance your writing?
A. graphs or charts
B. photographs
C. blog posts
D. headings and subheadings
Answer:
B. photographs
Step-by-step explanation:
please HELP me don’t BE RUDE IM WASTING MY PTS
The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times and so on.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
Draw dots on each of the data element in the data set:
25 repeated 1 time
25 1/2 repeated 2 times
26 repeated 1 time
27 3/4 repeated 1 time
and so on.
Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times and so on.
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Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?
Answer:
[tex]\angle{EBC}=35\textdegree[/tex]
An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.
Step-by-step explanation:
Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:
It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.
Use the quadratic formula to solve the equation.
y^2 + 7 = 6y
Ian Zander earns extra money by refinishing wood floors. His charge is based on the size and condition of the floor. Last month, he refinished 6 floors for $140 each, 2 floors for $220 each and 1 floor for $178. What average amount per floor did he earn for the month?
Answer:
Average per floor = 162 dollars.
Step-by-step explanation:
Remark
First find the number of floors
Then make a total income received from those floors.
Then divide the total income by the number of floors, to get the average
Number of floors
Total number of floors = 6 + 2 + 1 = 9 floors
Total income
Total income = cost per floor * the number of floors.
Total income
6 * 140 = 840
2 * 220 = 440
1 * 178 = 178
Total = 1458
Average income / Floor
Average income / Floor = Total amount / number of floors
Average Income / Floor = 1458 / 9 = 162
In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? OA. 1:22 OB 22:16 OC. 16:22 OD. 38:22
Answer:
C. 16 : 22
Step-by-step explanation:
Given:
Apple trees = 16Orange trees = 22Cherry trees = 1Ratio of apples trees to orange trees:
⇒ apple : orange
⇒ 16 : 22
find the slope of the line thatpasses through these two points: (-3, 4): (2,-1)
Answer:
y=-x+1
Step-by-step explanation:
Maria hiked 2 miles in 1.5 hours how long will it take her to hike 6 miles
Answer:
4.5 hours
Step-by-step explanation:
If 2 miles takes 1.5 hours, then 6 miles will be 4.5 hours.
2 miles = 1.5 hours
6 times 1.5 = 4.5
Therefore, 6 miles will take 4.5 hours.
Answer:
4.5 Hours
Step-by-step explanation:
2/1.5=6/ x
Cross multiply
2x=1.5*6
2x=9
x=4.5
Yo! Can someone help me with this?
Answer:
w=39 degrees and r=51 degrees
Step-by-step explanation:
The sum of the angles in a triangle should equal 180 degrees. Knowing this we take (38+103) - 180 = 39. Since opposite angles are always congruent, we can conclude that w is also 39 degrees. Thus we take (39+90)-180 = 51 degrees. (We know that one side is 90 degrees because it has a right angle)
Hope that helps! :)
ayudenme porfavor es para mañana
Hello..!
If you say that the value of x is an integer then the number when divided by 3 which is "3x" will result in an integer:
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf40 \div 3 = 13.33}}[/tex]
Option A) does NOT return an integer so it is not the answer.
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf41 \div 3 = 13.66}}[/tex]
Option B) is also not the answer.
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf42 \div 3 = 14}}[/tex]
Option C) does result in an integer but let's see the others:
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{43 \div 3 = 14.33}}}[/tex]
Option D) also does not return an integer.
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \sf{44 \div 3 = 14.66}}[/tex]
And lastly option E) does not result in an integer so the only one that results in an integer is option C) and that is the 42nd answer.
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{\sf \orange\longmapsto{ \red{C) \: \green{42°} }}}[/tex]
So, the correct part is C)42°
Answer:
The result is
C) 42°Hope this helped
What is the surface area of this right triangular prism?
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is a triangle with sides labeled 13 in., 13 in., and 24 in. There is a dashed line from the vertex of the triangle perpendicular to the 24 in. side that is labeled 5 in.
PLSSS ANSWER
Answer:
the answer is 720
Step-by-step explanation:
I took the test
what is 2 3/4 dived by 3
Answer:
0.91666666666 hope this helps
just literally divide
Use the properties and mental math to find the sum 6 3/4 +(4 2/4 + 5 1/4
The solution to the question is [tex]\rm 16\dfrac{1}{2}[/tex] .
What are whole numbers, proper and improper fraction ?Whole numbers is a collection of all the basic counting numbers and 0. In mathematics, counting numbers are called natural numbers.
So, we can define the whole number as a collection of all natural numbers and 0. Whole numbers also include all positive integers along with zero.
A proper fraction is a fraction whose numerator is smaller than its denominator.
An improper fraction is a fraction whose numerator is equal to or greater than its denominator.
The given question is [tex]\rm 6\dfrac{3}{4} + 4\dfrac{2}{4} +5\dfrac{1}{4}[/tex]
this can be also written as
[tex]\rm \dfrac{27}{4} +\dfrac{18}{4} +\dfrac{21}{4}[/tex]
as they have same bases
[tex]\rm \dfrac{66}{4}\\\\\\\dfrac{33}{2}\\\\16\dfrac{1}{2}[/tex]
Therefore this is the solution.
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Please solve eedfefsre3dfve
Answer:
[tex]t_n=n[/tex]
Step-by-step explanation:
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven sequence: 1, 2, 3, 4, 5, ...
Therefore:
a = 1d = 1[tex]a_n=t_n[/tex]Substituting the given values into the formula:
[tex]\implies t_n=1+(n-1)1[/tex]
[tex]\implies t_n=1+n-1[/tex]
[tex]\implies t_n=n[/tex]
Therefore, [tex]t_n=n[/tex]
100 POINTS TO WHOEVER IS CORRECT!!
SHOW ALL WORK. PLEASE HELP.
ALSO SHOW WHERE YOU CONNECTED THE DOTS
QUESTION -
WHAT IS THE AREA OF THIS IRREGULAR POLYGON?
The area of the irregular polygon = area of the 2 triangles + area of the rectangle = 25 units².
What is the Area of a Rectangle and a Triangle?Area of a triangle = ½bhArea of a rectangle = (length)(width)The irregular polygon can be decomposed into two triangles and a rectangle.
Area of triangle AGE = ½bh = ½(6)(3) = 9 units²
Area of triangle EGF = ½bh = ½(2)(4) = 4 units²
Area of rectangle ABCD = (length)(width) = (4)(3) = 12 units²
Area of the irregular polygon = 9 + 4 + 12 = 25 units².
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2) Compare these sets of data. Choose the TWO sets of data with the MOST symmetrical distributions.
Answer:
when you are comparing two sets of data, and one set is strongly skewed and the other is symmetric, which measures of the center and variation should you choose for the comparison?
The half-life of carbon-14 is 5,730 years. Dating organic material by looking for C-14 can't be accurately done after 50,000 years.
Suppose a fossilized tree branch originally contained 4.30 grams of C-14. How much 14 would be left after 50,000 years?
Use the formula N= No
A tree branch that originally had 4.3 grams of carbon-14 will have
grams after 50,000 years.
Answer:
0.0102 g
Step-by-step explanation: A common formula for determining the amount of sample remaining in terms of its half-life is
where
t = 50 000 yr
Calculate n
n = 50 000/5730
n = 8.726
N₀ = 4.30 g Calculate N
N = 4.30 × 2.36 × 10⁻³
N₀ = 0.0102 g please mark me brainliest
Answer:
0.0102 g
Step-by-step explanation:
You want to know the amount of C-14 remaining in a tree branch after 50,000 years if it originally had 4.30 grams, and C-14 has a half-life of 5730 years.
Amount remainingThe number of grams (N) remaining is given by the formula ...
N = N₀(1/2)^(t/5370)
where t is the number of years and N₀ is the initial amount of C-14.
ApplicationThe amount of C-14 remaining in the tree branch will be ...
N = 4.30×(1/2)^(50000/5730) ≈ 0.010154 . . . . grams
RoundingThis can be rounded several ways, depending on the criterion you choose.
The initial value 4.30 has 3 significant figures, so this could be rounded to 3 significant figures as 0.0102 g. This is the value we show at the top of this answer.
The initial value is accurate to a hundredth of a gram, so this could be rounded to a hundredth of a gram as 0.01 g.
The value 50,000 years has 1 significant digit, so we could round this to 1 significant digit as 0.01 g.
__
Additional comment
The problem statement gives the initial amount twice, once with 3 significant figures, and once with only 2 significant figures. If the answer is rounded to 2 significant figures, it would be 0.010 g.
There does not appear to be any justification for an answer of 0.0100 grams.
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