Answer:
a=-30
Step-by-step explanation:
Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.
Answer:
0.02
Step-by-step explanation:
Given a normal distribution :
Mean income (m) = 25000
Standard deviation of income (s) = 6000
X ≥ 12000
Using the relation to fund the standardized score :
Zscore =(x - m) / s
Zscore = ( 12000 - 25000) / 6000
Zscore = -13000 / 6000
Zscore = - 2.167
Using a z probability calculator :
P(Z ≤ - 2.167) = 0.015117
= 0.02
1
Find the average of
1/3
And
1/4
Answer:
7/6
Step-by-step explanation:
1/3+1/4
4/12+3/12=7/12
7/12 divided by 1/2
7/12 times 2 as when dividing fraction, multiply by reciprocal.
14/12
7/6
Help plz I really need it
Answer:
here up I have upload photosPerform the indicated operation.
(4g²-9) ÷ (2g-3)
A. 2g-3
B. 2g+3
C. 2g+3 R 18
Answer:
Solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3
Option B is correct.
Step-by-step explanation:
We need to solve [tex](4g^2-9) \div (2g-3)[/tex]
We know that [tex]a^2-b^2=(a-b)(a+b)[/tex]
So, [tex]4g^2-9[/tex] can be written as [tex](2g)^2-(3)^2[/tex]
So, using above formula we will get:
[tex]4g^2-9\\=(2g^2)-(3)^2 \\Using \ formula a^2-b^2 = (a-b)(a+b)\\=(2g-3)(2g+3)[/tex]
So, numerator will become
[tex]\frac{(2g-3)(2g+3)}{(2g-3)} \\Simplifying:\\=2g+3[/tex]
So, solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3
Option B is correct.
What 90
4 l is
3
?
You have 41 students three are absent what percentage of students are absent?
Answer:
Step-by-step explanation:
If 41 students is in the roll (total), then
[tex]\frac{3}{41}[/tex] = [tex]\frac{x}{100}[/tex] ⇒ x = [tex]\frac{3*100}{41}[/tex] ≈ 7.3 %
Help!! Please help with this question.
Answer:
The slope seems to be 4.
Step-by-step explanation:
The line seems to be starting at (3,0) and if you use the rule rise/run, it goes up (rises) 4 units and moves over (runs) 1 unit. You then rewrite this as 4/1 and you get 4 as the slope!
Answer:
The slope is 4
My logic:
Slope is delta y over delta x so if you take any 2 points on that graph and get the x and y of each point and find the change of the two x and the two y and put the change in y over the change in x. you get slope. like so= 16/4 or 4
Let's estimate 534–395.
(a) Round each number to the nearest hundred.
534 rounds to
395 rounds to
(b) Subtract the rounded numbers.
I
Answer:
A)
534 rounds to 500
395 rounds to 400
B) 100
Step-by-step explanation:
A)
534 rounds to 500 because the next digit 3 is less than 5 which means that you round down.
395 rounds to 400 because the next digit 9 is greater than 5 which means that you round up.
B)
500-400=100
Hope this helps! :)
5.)
A ball is thrown into the air with an initial velocity of 96 feet per second. Given the formula below wheret,
represents time in seconds and s(t), the height of the ball, when will the ball hit the ground?
s(t) = -16t? + 960
Show full work
Answer: The ball will hit the ground 6 seconds after it has ben thrown, at t = 6s.
Step-by-step explanation:
The equation for the height of the ball should be:
s(t) = (-16ft/s^2)*t^2 + 96ft/s*t
When s(t) = 0ft, means that the ball is in the ground
This represents the height of the ball as a function of t, the time in seconds.
We can see that at t = 0s:
s(0s) = (-16ft/s^2)*(0s)^2 + 96ft/s*(0s) = 0ft
Then at the time 0 seconds, the ball is in the ground, so we must look at the other root of the equation
(-16ft/s^2)*t^2 + 96ft/s*t = 0ft
To find it, we can use the Bhaskara equation, in this case is:
[tex]t = \frac{-96ft/s +- \sqrt{(96ft/s)^2 - 4*(-16ft/s^2)*0} }{-2*16ft/s^2} = \frac{-96ft/s^2 +-96ft/s^2}{-32ft/s^2}[/tex]
Then we have the two solutions:
t = (-96ft/s + 96ft/s)/(-32 ft/s^2) = 0s (the one that we already found)
And the other one is:
t = (-96ft/s - 96ft/s)/(-32ft/s^2) = 6s
Then:
s(6s) = 0ft
This means that the ball will hit the ground at t = 6 seconds.
The time required to hit the ground is required.
The time taken by the ball to reach the ground is 2.45 seconds.
The equation is
[tex]s(t)=-16t^2+96[/tex]
At the ground [tex]t=0[/tex]
so,
[tex]0=-16t^2+96\\\Rightarrow 16t^2=96\\\Rightarrow t=\sqrt{\dfrac{96}{16}}\\\Rightarrow t=2.45\ \text{s}[/tex]
The time taken by the ball to reach the ground is 2.45 seconds.
Learn more:
https://brainly.com/question/18769085?referrer=searchResults
What’s the slope intercept equation
Answer:
y=mx + b
Step-by-step explanation:
y= y intercept coordinate
m=slope=x coordinate
b = y intercept
Complete the proof Prove: angle UWX = angle UWV
Answer:
Step-by-step explanation:
Statements Reasons
1). UW bisects ∠VUX 1). Given
2). UW bisects ∠VWX 2). Given
3). ∠VUW = ∠WUX 3). Definition of angle bisector
4). ∠UWV = ∠UWX 4). Definition of angle bisector
5). UW = UW 5). Reflexive property of congruence
6). ΔUWX ≅ ΔUWV 6). ASA postulate of congruence
what is the approximate area of the shaded sector in the circle shown below?
Answer:
The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.
Area of semicircle = 0.5π[tex]r^{2}[/tex] = 0.5π×4.5 = 6.75 sq. inches
Please help me with this
Answer:
$62.50
Step-by-step explanation: 250 divided by 4 equals $62.10
Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.
Jonathan’s answer is unreasonable because 1 times 8 is 8, and 8 is not very close to 15.77.
Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.
Step-by-step explanation:
Select the expression that is NOT equivalent to 2 × (3 + 6).
A. 6 + 12
B. (2 × 3) + (2 × 6)
C. (2 × 6) + (2 × 3)
D. (2 × 3) + (3 × 6)
Answer:
D
Step-by-step explanation:
in answer D, the values would equal "6" and "18" which is not equivalent to the given equation
I NEED HELP WITH B AND E
Circle circumference
Will mark brainliest
f (x) = x squared What is f(x) + f(x) + f(x)?
Answer:
Step-by-step explanation:
fx^3
HELPPPP WITH THIS QUESTION PLEASEEE!!!
Answer:
I believe it is A.
Let me know if this helps!
A pair of shoes was $5 but is now on sale for
$4. What is the percent discount?
Answer:
20%
Step-by-step explanation:
i actually dont know sorry :(
Answer:
20% discount
Step-by-step explanation:
4/5 = 80%
5/5 - 4/5 = 1/5
1/5 = 20%
Explain to me in words how you would find the slope of this line and explain your answer
Answer:
5/3
Step-by-step explanation:
Looking at the two points, we count the rise (rise/run). It'd be 5 going up from the bottom point all the way to the same level as the top point. Then we count how many units over, which is 3. The slope of this would be 5/3. in slope form would be y=5/3x
Answer:
The slope is 6
Step-by-step explanation:
To find the slope you use the formula rise/run
The rise is the second y coordinate minus the first y coordinate
The run is the second x coordinate minus the first y coordinate
Step one:
Take any 2 points: I used (-1,2) and (-4,-3)
Step two:
Use the formula: rise/run
-4-2/-2-(-1)
-6/-1
6
I hope this helps :)
5 men build a wall in 10 days how long will it take one man
Answer:
50 days?
Step-by-step explanation:
Answer:
i think it is 2 because
10 divide by 5 = 2
1 x 2 = 2
2 days
Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on top of a 400 ft building and toss candy treats onto the ground below. If he drops a bag of candy corn, how long will it take for it to land on the ground? What will the velocity of the bag be when it hits the ground?
Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.
Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude
g = 9.8m/s².
As Professor Sosa drops the bag, its initial velocity and time are 0.
The building has a height of 400ft, so adjusting units: y = 121.92 m and [tex]y_{0}[/tex] = 0.
For this problem, going down will be the positive reference.
Then:
[tex]y=y_{0}+v_{0}t+\frac{g}{2}t^{2}[/tex]
[tex]\Delta y=v_{0}t+\frac{g}{2}t^{2}[/tex]
[tex]121.92=\frac{9.8}{2}t^{2}[/tex]
[tex]t=\sqrt{\frac{121.92*2}{9.8} }[/tex]
t ≈ 5
It will take 5s for the candy corn bag to land on the ground.
Acceleration is the change in velocity per change in time, so:
[tex]g=\frac{\Delta v}{\Delta t}[/tex]
As initial velocity and time are 0 and rearraging it:
v = g.t
v = 9.8*5
v = 49
The bag will hit the ground with velocity of magnitude 49 m/s.
In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.
Answer:
26.
Step-by-step explanation:
Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12
Now, AD= CD
or, 6x+10=2x+12
or, 6x-2x= 12-10
or, 4x= 2
or, x= 1/2
So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.
So, 6x+10+2x+12= AC
or, 8x+22= AC
or, 8 X (1/2) + 22= AC
or, 4+22 = AC
or, AC= 26.=
if the graph of an exponential function is increasing is the domain always all real numbers
Answer:
D) The domain of the function is all real numbers
Step-by-step explanation:
A bottle of juice that says it holds 2 cups only holds 1 cup 5 ounces. The bottle of juice holds how many ounces less than it should. This represents what percentage error
Answer:
A bottle of juice that says it holds 2 cups actually only holds 1 cup 5 ounces. The bottle of juice holds
3 ounces less than it should. This represents a 18.75 percent error.
Step-by-step explanation:
The triangles below are congruent and their corresponding parts are marked
∠A ≅ ∠Z
you can determine this by seeing that both angles have two curved lines, therefor showing they have the same measurement.
∠B ≅ ∠Y
you can also determine this by seeing that they both have one curved line showing that they share the same measurement.
∠C ≅ ∠X
once again, you can determine this by seeing that both angles are marked with three curved lines, meaning they share the same measurements.
line AB ≅ line ZY
just like before, you can determine that they are equivalent to each other by seeing that both lines have three dashes showing that they have the same measurement.
line AC ≅ line ZX
you can determine these lines are equivalent because they both have one dash showing they are the same length as each other.
line BC ≅ line YX
once again, both lines have two dashes, showing that they are equivalent in length.
ΔCAB ≅ XZY
you can determine this by seeing that all three angles and all three sides on both triangles share measurements with the other triangle
Write the conclusion:
If Charlie goes to the store, then Harry loves school
A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school
a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,
Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.
a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.
Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.
A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store
a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store
Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.
a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80
Answer:
A
Step-by-step explanation:
beacause Harry loves school so he go to school
Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and given its coordinates A(5,1) and b(-5,4)
(NEED THIS ASAP!!)
Answer:
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
Step-by-step explanation:
When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,
the coordinates of point are given by:
[tex](x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})[/tex]
Given points are:
(x1,y1) = (5,1)
(x2,y2) = (-5,4)
Putting the values in the formula
[tex]X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})[/tex]
Hence,
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
Which expression is modeled by this arrangement of tiles?
A. -40÷10
B. 40÷(-10)
C. 40÷10
D. 40÷40
Answer:
c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
(5.8 x 10^-6): (2 x 10^-3) =
Find the quotient .
write answer in Scientific notation