The IQ scores of the middle 50% of a population can be written as
I
100
15
where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
x 270 and x s 130
Ox570 and x 2 130
Oxs 90 and x 2 110
x 290 and x s 110
Complete question :
The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3
Answer: 90 ≤ x ≤ 110
Oxs 90 and x 2 110
Step-by-step explanation:
Given the inequality:
The middle 50% of the population :
(x - 100) / 15 ≤ 2/3
The upper bound :
(x - 100) / 15 ≤ 2/3
multiply both sides by 15
(x - 100) / 15 * 15 ≤ 2/3 * 15
(x - 100) ≤ 2/3 * 15
x - 100 ≤ 10
x ≤ 10 + 100
x ≤ 110
The lower bound :
- (x - 100) / 15 ≤ 2/3
(-x + 100) / 15 ≤ 2/3
multiply both sides by 15
(-x + 100) / 15 * 15 ≤ 2/3 * 15
(-x + 100) ≤ 2/3 * 15
-x + 100 ≤ 10
-x ≤ 10 - 100
-x ≤ - 90
x ≤ 90
90 ≤ x ≤ 110
WILL MARK BRAINLIEST, PLEASE HAALLPPP TT^TT
PLEASE don`t respond without an answer!
A basketball is thrown upward from a height of 1.8 m at a velocity of 12 m/s. How long until it reaches the ground?
(Recall: h(t)=-4.9t^2-v_0 t+h_0, where v_0 is initial velocity and h_0 is initial height.)
Answer:
here have a nice life
Step-by-step explanation:
1 Lecture 15: Rates of change
1.1 Outline
• Rates of change, velocity, acceleration.
• Marginal rates
• Equation of motion for objects falling under constant gravity
• Interpreting position and velocity graphs
1.2 Rates of change
If f(t) is a function depending on time, then we can write down the average rate of
change on an interval [t1, t2],
f(t2) − f(t1)
t2 − t1
.
We have defined the instantaneous rate of change at a time t as the limit
f
0
(t) = limr→t
f(r) − f(t)
r − t
.
This is also called the derivative. Thus, instantaneous rate of change is another name
for the derivative. In applications the name rate of change is more descriptive.
If s(t) gives the position of a particle as it moves along a line, then
v(t) = limk→0
s(t + k) − s(t)
k
gives the instantaneous velocity. If position is measured in meters and time in seconds,
the velocity v is measured in meters/second. We will abbreviate meters by m and
seconds by s so that the units for velocity are m/s.
As a second example, let v(t) be a function which gives the v
Plz help. Will mark the brainliest
Answer:
A: g(x)
Step-by-step explanation:
The equation is technically in vertex form "y = a(x – h)² + k", where the vertex is (h, k).
For the domain and range to be as stated in the problem, your "vertex" needs to be (2, 3), and so you want y = a(x – 2)² + 3 which is answer choice A
What is 16.8 percent of 271
Answer:
45.528
Step-by-step explanation:
Answer:45.528
Step-by-step explanation:you have to multilply 16.8 times 271 and you will get 45.528 brainest plss if helped
Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the older eaglet until it has had its fill, and then they feed the younger eaglet. This results in an unequal chance of survival for the two eaglets. Suppose that the older eaglet has a 50 percent chance of survival. If the older eaglet survives, the younger eaglet has a 10 percent chance of survival. If the older eaglet does not survive, the younger eaglet has a 30 percent chance of survival. Let X be the number of eaglets that survive. Which of the following tables shows the probability distribution of X?A. x 0 1 2 p(x) 1/3 1/3 1/3B. x 0 1 2 p(x) 1/4 1/2 1/4C. x 0 1 2 p(x) 0.35 0.60 0.05D. x 0 1 2 p(x) 0.05 0.90 0.05E. x 0 1 2 p(x) 0.10 0.30 0.50
Answer:
C. x 0 1 2 p(x) 0.35 0.60 0.05
Step-by-step explanation:
50% chance of survival
Let:
x = older eaglet survive
y = younger eaglet survive
Hence,
P(x = 0) (none of the eaglet survive)
P(x = 1) (only one survive)
P(x = 2) (both survive)
P(x) = 0.5
P(x') = 1 - 0.5 = 0.5
P(x n y) = 0.5 * 0.1 = 0.05 ( both survive)
P(only one survive)
P(y n x') + p(y' n x)
(0.5 * 0.3) + (0.5 * (1 - 0.1))
0.15 + 0.45 = 0.6
P(none survives)
1 - (0.60 + 0.05)
= 0.35
X _______ 0 ______ 1 ______ 2
P(x) ____ 0.35 ____ 0.60 ___ 0.05
The probability distribution of the number of eaglets is the set of the
probabilities of the number of surviving eaglets.
The table that shows the probability distribution is the option C;
[tex]C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}[/tex]
Reasons:
The probability that the older eaglet survives P(O) = 0.5
Therefore;
The probability that the older eaglet does not survives P(O') = 1 - 0.5 = 0.5
The chance of survival of the younger eaglet, where the older eaglet survives P(Y|O) = 10%
Therefore;
The chance that the younger eaglet does not survive, where the older eaglet survives P(Y'|O) = 1 - 10% = 90%
The chance of survival of the younger eaglet, where the older eaglet does not survives P(Y|O') = 30%
Therefore;
The chance that the younger eaglet does not survive, where the older eaglet does not survives P(Y'|O') = 1 - 30% = 70%
The probability distribution, P(X) is the set of possible probability of the number of eaglets that survive, which is given as follows;
The set of possible outcomes are;
Non survives:
The probability that non of the eaglets survives = P(O') × P(Y'|O') = 0.5 × 0.7 = 0.35Only one survives:
The probability that only one of the eaglet survives = P(O) × P(Y'|O) + P(O') × P(Y|O'), which gives; P = 0.5 × 0.9 + 0.5 × 0.3 = 0.6Both survives:
The probability that both of the eaglet survives = P(O) × P(Y|O) = 0.5 × 0.1 = 0.05The table of the probability distribution is therefore;
[tex]C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}[/tex]
Learn more here:
https://brainly.com/question/17466045
Can some one
help please I don’t understand this problem.
This is for regular Geometry.
2. Following are the marks obtained by a batch of 10 students in a
certain class tests in statistics (X) and accountancy (Y).
1 2
Roll No.
3 4
5 6 7 8 9 10
X 63 64 62 32 30 60 47 46 35 28
Y 68 66 35 42 26 85 44 80 3372
In which subject is the level of knowledge of the students higher?
Answer:
Students level of knowledge is higher in accountancy (Y) compared to statistics (X).
Step-by-step explanation:
The level of knowledge of the students in each subject can be known by comparing the mean score of the subjects.
Marks of the students in statistics (X) are: 63 64 62 32 30 60 47 46 35 28
mean = [tex]\frac{63 +64+62+32+30+60+47+46+35+28}{10}[/tex]
= [tex]\frac{467}{10}[/tex]
= 46.7
The mean mark of students in statistics (X) is 46.7.
Marks of students in accountancy (Y) are: 68 66 35 42 26 85 44 80 33 72
mean = [tex]\frac{68+66+35+42+26+85+44+80+33+72}{10}[/tex]
= [tex]\frac{551}{10}[/tex]
= 55.1
The mean mark of students in accountancy (Y) is 55.1.
It can be inferred that students level of knowledge is higher in accountancy (Y) compared to statistics (X).
help me with this i will mark brainlest
Answer: 388 miles in one hour.
Step-by-step explanation:
You divide 1,940 by 5.
Answer:
i dont know this sorry
\
Step-by-step explanation:
Dr Wyzard passed out bags of Starburst for the best students. One bag contains 5
orange, 2 pink, and 3 yellow. What is the probability of randomly selecting an orange
candy, eating it, then randomly selecting another orange?
4/10 or 2/5 simplified
Hope this helps you out!
what is 1/7+2/3 fractions
Answer:
[tex]\frac{17}{21}[/tex]
Step-by-step explanation:
[tex]\frac{1}{7}[/tex] + [tex]\frac{2}{3}[/tex] ( multiply [tex]\frac{1}{7}[/tex] by 3 and [tex]\frac{2}{3}[/tex] by 7 to get a common denominator)
[tex]\frac{3}{21}[/tex] + [tex]\frac{14}{21}[/tex] = [tex]\frac{17}{21}[/tex]
It is 7:25 A.M. when Jackie starts eating breakfast, and it takes her 20 minutes to eat. What time will it be when Jackie finishes breakfast?
Answer:
Step-by-step explanation:
Jackie will finish her breakfast at 7:25 plus 20 minutes= 7:45 AM
Answer:
It will be 7 45 I'm pretty sure I'm sorry if this is wrong
Step-by-step explanation:
y=4(x+1)^-4 HELP I AM STUCK!
Answer:
y=4x+.0004
Step-by-step explanation:
y=4(x+1)^-4
distribute your parenthesis
y=4x+4^-4
do your exponents
y=4x+.004
and thats as far as the problem can be simplified
hope this helps
Someone please help em
Answer:
y + x > -2
Step-by-step explanation:
slope is negative and is -1
y-intercept is -2
equation of dashed line is y = -x - 2
shading is above the line, and line is dashed, so inequality is
y > -x - 2
Add x to both sides.
y + x > -2
anyone know? this answer
Answer:
4ft
Step-by-step explanation:
V=base*h= l*w*h substitute what you know
24=2*3*w
24=6*w divide both sides by 6
24/6=w
4=w
Rewrite the following to show the distributive property
4x(5+3)
Step-by-step explanation:
4x+8
basically u solve the number that is in parentheses then you are left with the number with a variable so u can't solve so that's ur equation
Answer:
32x
Step-by-step explanation:
1. rewrite
4x(5)+4x(3)
4(3) means 4*3
2. multiply
4x(5)= 20x
4x(3)= 12x
20x+12x
3. combine like terms
20x+12x= 32x
32x
If this is right can you make me brainliest
HELPP!!! PLEASE MATH!!!!!!!
Answer:
-5
Step-by-step explanation:
Why does pi to trillions of places still not have a precisely even distribution of each digit?
No answer needed!
Here’s some information about what Pi (π) is:
Intro
Pi (π) is a number whose decimal digits go on forever and they don’t repeat itself. It’s in the category called irrational numbers, because you can’t rationalize pi.
History
Before pi was created, famous philosophers used tape measure to measure the ratio between the circumference and diameter of a circle. And when they did, they found out that the ratio between the circumference and diameter was roughly about 3.1. But as mankind evolved to have better tape measures and more technology they can use, they found out that the ratio between the circumference and diameter had a number that kept on going forever. It would go like 3.1415926.... and it would go on and on. So, the number pi was introduced by scientists and mathematicians found out that pi turned out to be an irrational number.
Daily Usage
Pi was turned into the symbol π so people don’t have to write the full digits of pi. But now we use pi now in our daily mathematical lives. Pi is almost in every form of mathematics, especially in geometry and trigonometry. Pi is full of new things and it really expanded our understanding of mathematics.
Pi (π) truly has an interesting and fascinating history
Hope this helps! :)
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the right-tail p-value.
Answer:
a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
b) p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
Step-by-step explanation:
Step(i):-
Given mean of the population = 10
Sample size 'n'= 35
Mean of the sample x⁻ = 14.44
Standard deviation of the sample 's' = 4.45
Level of significance ∝ = 0.01
Step(ii):-
Null Hypothesis H₀ : μ >10
Alternative Hypothesis : H₁ : μ < 10
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }[/tex]
t = 5.903
Degrees of freedom = n-1 = 35-1 = 34
tabulated value t₀.₀₁,₃₄ = 2.572
The calculated value t = 5.903 > 2.572 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is a true mean value is less than 10
p- value :
p - value 0.00001
The p - value 0.00001 < 0.01
The result is significant at p<0.01
Please hurry I need number 19
Answer: c
Step-by-step explanation:
Did you hear the story about the piece of butter?
Answer:
I believe once it saw the cast iron skillet's beauty, it melted.
Step-by-step explanation:
No clue just that was the first thing in me mind.
the total bill for repairing john's tv was $131.50. the repair shop charges $25 an hour for labor plus $19 for parts. how many hours of labor did it take to repair john's tv?
Answer:
4.5 hours (or 4 hours and 30 minutes)
Step-by-step explanation:
subtract 19 from 132.50, then divide 131.50 by 25.
7/8 times 1/3 times 2/5
Answer:
7/60
Step-by-step explanation:
7/8 times 1/3 is 7/24.
Then, 7/24 times 2/5 is 7/60
When multiplying fractions you just multiply across. For example, 7/8 times 1/3. 7 times 1 is 7 and 8 times 3 is 24. So, 7/8 times 1/3 is 7/24.
Hope this helps :)
Help asp pls help me
Answer:
159.70 in total. Because you need to multiply the cost for the adults shirt with the amount of shirts, do the same for youth and add your answers.
WILL MARK BRAINLIEST please help geometry problem in the picture
Answer:
I think its c im rlly sorry if im wrong
Step-by-step explanation:
Im trying to get to vituoso :3
Brainliest for right answer
Answer:
Yes
Step-by-step explanation:
If you notice, X goes up 1/4 or 0.25 every time and Y goes up 3 everytime.
So they are proportional. H
Hope this helps plz hit the crown :D
Answer:
No it doesn't
Step-by-step explanation:
The proportional relationship in x is not the same as y for there to be a relationship it could be like 2, 4, 6, 8 etc
1.) Mr. Tomlinson earns $17.50 per hour at his job. When he works over 40
hours in a single week, he earns $17.50 per hour plus an additional $5.25
per hour. Last week, Mr. Tomlinson worked 47 hours. How much money
did he earn from working 47 hours in a single week?
O
$736.75
O
$822.50
О O
$859.25
O
$1,069.25
Answer:
he made $859.25. A lot of money
A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow.One of the many variables thought to be an important predictor of appraised value is the total number of rooms in the house. Consequently the appraiser decided to fit the simple linear regression model, ^y=β0+β1x, where y= the appraised value of the house (in thousands of dollars) and x= the number of rooms. Using data collected for a sample of n = 74 houses in East Meadow, the following results were obtained:¯y=74.80+24.93xRange of the x-values: 5 - 11Range of the y-values: 160 - 300Give a practical interpretation of the estimate of the slope and the y-intercept of the least-squares line.
Answer:
D. For each additional room in the house, the appraised value is estimated to increase $74,800
Step-by-step explanation:
The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.
Help anyone need it asap
8th grade math
Answer:
Step-by-step explanation:
4(3x - 5) = 6x - 2 Remove the brackets
12x - 20 = 6x - 2 Subtract 6x from both sides
12x - 6x - 20 = -2 Add 20 to both sides
6x = -2 + 20
6x = 18 Divide both sides by 6
x = 18/6
x = 3
Answer:
you answer is 0
Step-by-step explanation:
If you do the math it goes to this
4(3x-5)=6x-2
x=?
so you would do the distributive property for the perenthasese
so..
4(4x3X-4x5) = 4x3= 12x. 4x5=20. 12x-20= -8x
then you would do 6x-2 = 4x
then 8x+4x=0
z-303=170
what does "z" equal
Answer:
z = 473
Step-by-step explanation:
So the equation looks like this:
z-303=170
So in order to only get the variable z on one side and the numbers on the other we are going to have to add 303 to both sides of the equal signs:
z - 303 = 170
+ 303 +303
z = 473
So the answer to what the variable z equals is 473, so how do we know if 473 is the answer? Well we substitute 473 where the z variable is in the equation and solve it:
z-303=170 or (473) - 303 = 170
and if you subtract 303 from 473 you will get 170 as your answer
I hope this helps you!
The mass is 500 grams and the volume is 40 cubic centimeters.
Answer: is there a question for/to the numbers gjven
