Answer:
false.
Step-by-step explanation:
A conditional statement is something like:
If P, then Q.
This means that if a given proposition P is true, then another proposition Q is also true.
An example of this is:
P = its raining
Q = there are clouds in the sky.
So the conditional statement is
If its raining, then there are clouds in the sky.
A biconditional statement is:
P if and only if Q.
This means that P is only true if Q is true, and Q is only true if P is true.
So, using the previous propositions we get:
Its raining if and only if there are clouds in the sky.
This statement is false, because is possible to have clouds in the sky and not rain.
(this statement implies that if there are clouds in the sky, there should be rain)
Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.
Then these statements are not logically equivalent.
The statement is false.
helppp plzzz right nowwwwwwww
Answer:
They are parallel so also -4/3
Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?
Answer:
$11.76
Step-by-step explanation:
2.94×4=$11.76
please help!!!
Simplify
3+ 7 X 4
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Answer:
12^(3/2)
Step-by-step explanation:
(2x6)^3/2
2x6=12
12^3/2= 41.5692193817
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
Which equation in slope-intercept form represents a line that passes through the point (5, -1) and is
parallel to the lin y = 2x - 7?
A) y=-11x-7
B) y= -1/2x-7
C) y= 2x-9
D) y= -9x-7
E) y= 2x-11
Answer:
E) y= 2x-11
Step-by-step explanation:
as we know the equation of line parallel to
y =2x-7 or, 2x-y-7=0 is 2x-y+k=0
as the line passes through the point (5,-1)
substituting the value of x and y in equation 2x-y+k=0
we get,
2×5-(-1)+k=0
or, 10+1+k=0
or, k=-11
hence putting the value of k in ep 2x-y+k=0
we get 2x-y-11=0
or, y=2x-11
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is the total time that Nadia took to answer both quizzes?
Answer:
1 hour
Step-by-step explanation:
hope it helps ....
The rope required to measure the diametwr of acicular pond is 90 m shorter than measurin its circumference. find the diameter of the pond.
he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement
Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answer:
In a product like:
a*b = 0
says that one of the two terms (or both) must be zero.
Here we have our equation:
x^2 + 12 = 7x
x^2 + 12 - 7x = 0
Let's try to find an equation like:
(x - a)*(x - b) such that:
(x - a)*(x - b) = x^2 + 12 - 7x
we get:
x^2 - a*x - b*x -a*-b = x^2 - 7x + 12
subtracting x^2 in both sides we get:
-(a + b)*x + a*b = -7x + 12
from this, we must have:
-(a + b) = -7
a*b = 12
from the first one, we can see that both a and b must be positive.
Then we only care for the option with positive values, which is x =3 or x = 4
replacing these in both equations, we get:
-(3 + 4) = -7
3*4 = 12
Both of these equations are true, then we can write our quadratic equation as:
(x - 3)*(x - 4) = x^2 + 12 - 7x
The correct option is the last one.
Answer:
d
Step-by-step explanation:
pLZ HELPPPPPPPPPPPPPPPPPPPPPPPPP.
Answer:
x^4+4x^3+6x^2+7x+2
Compare the rates for different numbers of texts. If Roger's father wants to get a 600-text message plan, what is the difference in price for the Dial It Up and Ring Ring plans?
Answer:
[tex]\$6[/tex]
Step-by-step explanation:
Given
See comment for complete question
Required
The difference in the cost of 600 text messages plan
Representing the given data as; Cost to Number of text messages, we have:
[tex]Dial\ Up = \$5 : 100[/tex]
and
[tex]Ring\ Ring= \$8 : 200[/tex]
Multiply the dial-up by 6 to get the cost of 600
[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]
[tex]Dial\ Up = \$30 : 600[/tex]
So, the cost of 600 text messages is $30 --- for dial-up
Multiply the Ring Ring by 3 to get the cost of 600
[tex]Ring\ Ring= \$8 *3: 200*3[/tex]
[tex]Ring\ Ring= \$24: 600[/tex]
So, the cost of 600 text messages is $24 --- for Ring Ring
The difference (d) is:
[tex]d = \$30 - \$24[/tex]
[tex]d = \$6[/tex]
A valid argument form is one in which, when you uniformly substitute for the variables, the result is
Answer:
True
Step-by-step explanation:
This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.
a. 32
b. 44
c. 22
d. 8
Answer:
sorry I don't know
Step-by-step explanation:
.........
help me pls pls !!!!! help
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
im sorry i dont know the answer
If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the
value of f(0), to the nearest hundredth.
Given:
For en exponential function f(a):
[tex]f(-3)=18[/tex]
[tex]f(1)=59[/tex]
To find:
The value of f(0).
Solution:
The general form of an exponential function is:
[tex]f(x)=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/ decay factor.
We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).
[tex]18=ab^{-3}[/tex] ...(ii)
We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).
[tex]59=ab^{1}[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]
[tex]3.278=b^{1-(-3)}[/tex]
[tex]3.278=b^{4}[/tex]
[tex](3.278)^{\frac{1}{4}}=b[/tex]
[tex]1.346=b[/tex]
Substituting the value of b in (iii).
[tex]59=a(1.346)^1[/tex]
[tex]\dfrac{59}{1.346}=a[/tex]
[tex]43.83358=a[/tex]
[tex]a\approx 43.83[/tex]
The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].
Therefore, the value of f(0) is 43.83.
Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'
The total cost is $350 million.
The US Government is offering to pay $110 million.
A contractor is offering to reduce the total cost by 30%.
Tony has enough money to pay the remaining costs out of petty cash.
Answer:
I am a piano so yeah I'm just typing to fill the character requirement
Step-by-step explanation:
get got
A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:
Answer:
[tex]P(x = 3) = 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex]
[tex]p=59\% = 0.59[/tex]
Required
[tex]P(x = 3)[/tex] --- probability that 3 are afflicted
This question illustrates binomial probability and it is calcuated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 0.048[/tex]
Please help with this!!! 8 points!!!
Answer:
d
Step-by-step explanation:
LAST QUESTION SOMEONE HELP PLEASE QUICK
Answer:
27%
Step-by-step explanation:
Answer:
p(j)=27% is correct answer
what is the mid point of AB?
Answer:
G
Step-by-step explanation:
I did this on edge and it was right
Answer:
O Point G
Step-by-step explanation:
A = -6
B = 8
To find the midpoint, calculate how much would it take for both points to have a value of zero.
-6 + ? = 0
-6 + 6 = 0
8 - ? = 0
8 - 8 = 0
so the midpoint will be about 7 (between 6 & 8)
Now which of the points best shows 7 units apart of AB
Answer: point G
5 plus 6 times 8 plus 9 times 10 plus 8 plus 4 plus 2 plus 9 plus 8 plus 7 plus 5 plus 7 plus 6 times 7 times 9 times 8 times 5 times 4 times 3 times 2 times 1 times 6 times 8 times 9 times 12 times 17 times 19 times 20 times 12 times 11 times 13 times 14 times 15 times 16
i dont know
hi hi hi hi hi ih ih ih ihi ih i h
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Hello,
[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.
help plsss
1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4
[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]
Now, we will multiply per 2x² both sides of equation...[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]
[tex]\searrow[/tex]
[tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]
We have to write in standard form...[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]
[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]
[tex]\huge {\text {$ \sf \downarrow$}}[/tex]
[tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex] [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]
At this point, we're going to add the values of x₁ and x₂:[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]
[tex]\huge {\text {$ \it Alternative \: A $}}[/tex]
2(5x-3)=24
find what x is?
Answer:
x = 3
Step-by-step explanation:
2(5x - 3) = 24
Divide both sides by 2.
5x - 3 = 12
Add 3 to both sides.
5x = 15
Divide both sides by 5.
x = 3
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt hour
Answer:
I'm sorry but no idea
Step-by-step explanation:
No idea
PLEASE ANSWER IT CORECTLY
Answer:
Q24=A
25=B
26=A
Step-by-step explanation:
Please someone help I can not get past this question
Answer:
65.76 m
Step-by-step explanation:
This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.
Starting with the triangle:
1/2(b*h)=a
We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:
1/2*15=a or 15/2=a
a=7.5
Then we calculate the area of the rectangle:
l*w=a
5*6=a
30=a
Then the area of the semi circle:
First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):
3.14*r^2=a
3.14*3^2=a
3.14*9=a
28.26=a
Finally, we add all three areas from above:
7.5+30 + 28.26 = 65.76
Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125
Answer:
7
Step-by-step explanation:
Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In this case:
(4x + 7) + (97) = (17x + 13)
4x + 104 = 17x + 13
4x + 91 = 17x
91 = 13x
7 = x
