Answer:
-0.09
Step-by-step explanation:
There are 780 registered voters in Cloud County. In the last election, 40% of the registered voters actually voted. How many people in Cloud County voted in the last election?
Please help me ASAP I need this done please! (Giving brainliest)
Answer:
Step-by-step explanation:
a 2x-2+6x+10=120
b x=14
c l=47 w=13
there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and does not replace it. he then takes another counter at random from the bag. the probability Ross takes two blue counters is 1/3. find the value of n
Answer: n = 10.
Step-by-step explanation:
In the bag, we have n counters.
4 of the counters are red.
the rest are blue, then we have:
(n - 4) blue counters.
Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n
Then the probability is:
p1 = (n - 4)/n
Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)
The probability of this event is:
p2 = (n - 5)/(n - 1)
The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:
1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))
Now let's solve this for n.
n*(n - 1)/3 = (n - 4)*(n - 5)
(n^2 - n)/3 = n^2 - 4*n - 5*n + 20
n^2 - n = 3*(n^2 - 9*n + 20)
n^2 - n = 3*n^2 - 27*n + 60
0 = (3*n^2 - n^2) - 27*n + n + 60
0 = 2*n^2 - 26*n + 60
The two solutions of this equation can be found with Bhaskara's equation:
[tex]n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}[/tex]
Then the two solutions are:
n = (26 - 14)/4 = 3
This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.
The other solution is:
n = (26 + 14)/4 = 40/4 = 10
Then we have n = 10, 10 counters in total.
In which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
A certain population has 1,000 people in it. Which of the following numbers would be an appropriate number for a
random sample?
O 10
200
O 1,000
0900
Answer:
10
Step-by-step explanation:
Solve: 15 + 6x = 45 + 8x
Answer:
x=-15
Step-by-step explanation:
.................
Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?
Answer:
752 ft
Step-by-step explanation:
Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:
-16(1.5)²+64(1.5)+80
solving this, we get:
-24²+96+80
576+96+80
752
In rectangle JKLM, JN is 20 in. Find the length of JL
N
M
Answer: 40
Step-by-step explanation:
Help with this pleaseeeeee!!!!!!!
Answer:
60
Step-by-step explanation:
V=Base area*height
V=((5*8)/2)*3
V=(40/2)*3
V=20*3
V=60
Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quantities? O 1, 2, 3, 4 O 2, 4, 6,8 O 1, 2, 6, 12 O 6, 12, 18, 24
Answer:
pens
Step-by-step explanation:
Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.
Answer:
32.6193819
Step-by-step explanation:
calulater never lies XD
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Step-by-step explanation:
What is the area of this trapezoid?
Help! I need this please!
the school nurse is packing first aid kits. the ratio of bandages to gloves is 9:2. if she has 48 gloves, how many bandages will she need to make it complete kits
A. 216
B. 11
C. 3
D.96
Answer:
A
Step-by-step explanation:
48*9 =432
432/2=216
What is m<1 if m<7 = 60°?
Answer:
m<1 = 60° if m<7=60°
Step-by-step explanation:
The are the same angle degree.
A phone usually sells for $245. It is now on sale for 10% off the original price. What is the new sale price for the phone?
Answer:
$220.50
Step-by-step explanation:
245.00×10%=24.50
245.00-24.50=220.50
Answer:
$24.50
Step-by-step explanation:
24 kilograms turned into pounds
Answer:
52.91 pounds
Step-by-step explanation:
What is the answer 1 1/2x[] < 1 1/2
Answer:
would you mind uploading a pic of it because i dont understand
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 13 feet per
second. One day, the equipment elevator begins to descend. After 32 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 12 seconds? At that time, which elevator is deeper?
The nosition of thn
in
Answer:
.
Step-by-step explanation:
In triangle ABC, the measure of C is 90°,
AC=24, and BC=10. What is the value of sin
A?
Answer:
Sin A = 0.38462
Step-by-step explanation:
From the trigonometric function,
Sin A = [tex]\frac{Opposite}{Hypotenuse}[/tex] ................... 1
So that, applying the Pythagoras theorem to determine the value of hypotenuse,
[tex]/Hyp/^{2}[/tex] = [tex]/Opp/^{2}[/tex] + [tex]/Adj/^{2}[/tex]
= [tex]24^{2}[/tex] + [tex]10^{2}[/tex]
= 576 + 100
[tex]/Hyp/^{2}[/tex] = 676
Hyp = [tex]\sqrt{676}[/tex]
= 26
The hypotenuse of the triangle is 26.
Thus, from equation 1;
Sin A = [tex]\frac{10}{26}[/tex]
Sin A = 0.38462
what’s the equation for this table?
Answer:
y=2.5x-3
Step-by-step explanation:
first, we find the y-intercept, which is the number with a zero in the x
That would be -3
next, we find the slope
to do this, we have to take two numbers on the y side next to each other and subtract.
For this example we will use 7 and 2
7-2=5
And just to be positive, we will also do 12 and 7
12-7=5
Okay, now that we know that the number is growing by 5 every time, we know that it is now 5/2 because y is growing by 5 and x is growing by 2
Now, we make the x side grow by only 1, so to do this, we will divide both sides by two.
Now we have 5/1 or just 5
Finally, to put that into the right format, we do y=5x-3
You're Welcome
Good Luck
Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X
Answer:
x = 36
Step-by-step explanation:
Length of a rectangle, x+7
Width = 3
Area of the rectangle, A = 129 units²
The area of a rectangle is given by :
A = lb
So,
[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]
So, the value of x is equal to 36.
x=20 is the solution to 4=x-16
Answer:
True
Step-by-step explanation:
So let's put this question into one equation.
x - 16 = 4 if x = 20
Well, this is a true statement. If we were to replace x with 20. We would see that the equation makes sense.
20 - 16 = 4
20 minus 16 does indeed equal 4.
What is the positive solution to this equation?
4x²+12x=135
Answer:
4.5
Step-by-step explanation:
How do you do this problem
Answer:
Step-by-step explanation:
U have 20 dollars and u spend d amount of dollars on ice cream.
basically it’s 20$-d$ or 20-d
the points (3,48) and 5,768) lie on the graph of an exponential function. write the equation in exponential form. Must explain or I'll report! answer asap!
Answer:
y = 3/4*4ˣStep-by-step explanation:
The function is:
y = abˣSubstitute the values from the given points and solve for b:
48 = ab³768 = ab⁵Divide the second equation by the first one:
768/48 = ab⁵/ab³b² = 16b = 4Find a using the first equation:
48 = a*4³a = 48/64a = 3/4The function is:
y = 3/4*4ˣWhat is the solution to this inequality?
-9x – 15 < 3
O > -2
O I < 2
Or<-2
O > 2
Answer:
x>-2
Step-by-step explanation:
-9x-15<3
•Move the constant to the right
9x<3+15
•calculate
-9x<18
•Divide both sides
James purchases tickets for the New York Knicks. He gives seven tickets to his colleagues. If James is left with 8 tickets, how many tickets did he purchase?
Answer:
He purchased 15 tickets.
Step-by-step explanation:
First you gather your important information/ numbers
-7
-8
- how many tickets did he purchase?(+)
Then you create your equation and solve
7+8=15
Anyone can help please
Answer:
A x+6
Step-by-step explanation:
12+6=18
13+6=19
14+6=20
15+6=21
Expand & simplify
(2x + 6)2
Answer: 4x+12
Step-by-step explanation:
The distributive property states that a(b+c) = ab+ac.
Thus, simply do 2*2x+2*6 = 4x+12
Hope it helps <3 :D
Quadrilateral MNPQ is shown.
Trapezoid M N P Q is divided into 4 triangles by N Q and M P, which intersect at point R inside the trapezoid. N P is parallel to M Q and M N is congruent to Q P. Angle N M P is 30 degrees and angle P M Q is 32 degrees. Segment Q R equals 4.1.
If MP = 5.9, what is RN?
(Round your answer to the nearest tenth. Write NA if there is not enough information given.)
Answer:4.1
Step-by-step explanation:
In the Quadrilateral MNPQ, if MP = 5.9, then RN = 1.8.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given:
Quadrilateral MNPQ is shown.
Trapezoid MNPQ is divided into 4 triangles by NQ and MP.
MQ is parallel to NP.
That means, MQ and NP always at the equal distance.
MN ≅ QP
So,
MP = QN
Now,
QN = QR + RN and QR = 4.1:
MP = QN
5.9 = 4.1 + RN
Then RN = 5.9 - 4.1 = 1.8
Therefore, the value of RN is 1.8.
To learn more about the trapezoid;
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