Answer:
1/12
Step-by-step explanation:
The probability of rolling a die and landing it on heads is 1/2 percent. Flipping the coin another time and landing it on heads is 1/4 percent because you need to multiply when doing probabilities, so 1/2 times 1/2 equals 1/4.
Now moving on, rolling a 6 sided die and getting either a 1 or 6 is 1/3 percent because 1 and 6 are two different numbers you can roll so it's 2/6, and when it's simplified, it's 1/3.
After doing that, to find the probability of the whole equation, you would need to multiply 1/4 times 1/3 which would give you 1/12 as your answer.
Find the argument of the complex number z=1+iv3
Given:
The complex number is:
[tex]z=1+i\sqrt{3}[/tex]
To find:
The argument of the given complex number.
Solution:
If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
We have,
[tex]z=1+i\sqrt{3}[/tex]
Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:
[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]
[tex]\theta =\tan^{-1}\sqrt{3}[/tex]
[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]
[tex]\theta =\dfrac{\pi}{3}[/tex]
Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
x = 9
Step-by-step explanation:
congruent angles have the same measure as each other
so;
4x + 14 = 6x - 4
(rearrange)
14 + 4 = 6x - 4x
(solve)
18 = 2x
(simplify)
18 divide 2 = 9
so;
9 = x
Round 89.288 to the nearest tenth
Answer:
89.3
Step-by-step explanation:
89.288
Eight is greater than five so we add 1 to the underlined number
in 5 games a basketball team scored 82, 42, 75, 97, and 86 points
what is the *median* of the scores? Type your answer below RIGHT NOW
Answer:
86
Step-by-step explanation:
Once you put the numbers in correct order, 86 would be in the middle making it the median.
What are the intercepts of y = 4x − 2?
A. (2, 0) and (0, 0.5) B. (2, 0) and (0, 5) C. (2, 0) and (0, -2) D. (0.5, 0) and (0, -2)
Answer:
D. (0.5, 0) and (0, -2)
Step-by-step explanation:
We have the following equation:
[tex]y = 4x - 2[/tex]
x-intercept:
The x-intercept of an equation is the value of x when [tex]y = 0[/tex]. So
[tex]y = 0[/tex]
[tex]4x - 2 = 0[/tex]
[tex]4x = 2[/tex]
[tex]x = \frac{2}{4}[/tex]
[tex]x = 0.5[/tex]
So (0.5,0) is one of the intercepts
y-intercept:
The y-intercept of an equation is the value of y when [tex]x = 0[/tex]. So
[tex]y(0) = 4(0) - 2 = 0 - 2 = -2[/tex]
So (0, -2) is the other intercept.
The correct answer is given by option D.
Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0
Answer: (6,8)
Step-by-step explanation:
Answer:
(6, 8)
Step-by-step explanation:
Please help me with this assignment!
Answer:
Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.
Step-by-step explanation:
What is the result when you combine only the constants in the following expression?
3 a minus 6 b + 3 minus 7 a + 10
Answer:
6b-4a+13
Step-by-step explanation:
3a-6b+3-7a+10
3+10=13
3a-7a=-4a
6b-4a+13
Answer:
13
Step-by-step explanation:
The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation
- 2 1/3 - (-5) =
gimme please, its the i ready thingie
Answer:
8/3
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
8 /3
Decimal Form:
2. 6
Mixed Number Form:
2 2 /3
Find the equation of the line below.
10
(4,8)
(1/2)
H10
10
Answer:
y=1/2x
Step-by-step explanation:
Find the y-int (0) and get the slope : 1/2.
Answer:
Letter B .................
Can somebody help me
13. Dave drove 3,720 miles in 62 hours. What was his average speed?
Answer:
60 mph
Step-by-step explanation:
One spinner is divided into three equal sections numbered 1 to 3. A second spinner is divided into six equal sections numbered 4 to 9. How many total outcomes are there if both spinners are spun?
○ 9
○ 12
○ 18
○ 27
Answer:
The numbers do not matter. There are 3 outcomes for the first spinner and 6 outcomes for the second. 6x3 is 18. For each of the 3 outcomes for the first spinner there are 6 for the second.
1,4
1,5
1,6
1,7
1,8
1,9
2,4
2,5
2,6
2,7
2,8
2,9
3,4
3,5
3,6
3,7
3,8
3,9
Answer:
18
Step-by-step explanation:
The first spinner has 3 outcomes; the second spinner has 6 outcomes independent of the first spinner's outcome. In other words, what happens to the second spinner has nothing to do with the outcome of the second spinner. There are 3 x 6 = 18 possible outcomes for both spinners.
Here's a complete list of outcomes (see the attached image).
What is the value of the hypotenus?
Answer:
Step-by-step explanation:
4. A prism has a base area of 35 cm2 and a height of 5 cm. What is the volume of the prism?
Answer:
175cm^3
Step-by-step explanation:
Volume= Length x Width x Height
Length and width =35cm^2
H=5cm
V=175cm^3
Hope this helps!
Manufacturers are testing a new cologne before it's released. A machine uses sensors to determine if the cologne is working (maintaining a scent for 1 hour)
a. 15/82
b. 15/37
c. 22/37
d. 1
Answer:
It’s B
Step-by-step explanation:
An equation always, sometimes, never has one solution?
Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.
Step-by-step explanation:
akin has some money in a box.if 3/8 of the money Is N4.80, how much money does he have in the box
Answer:
N12.8
Assume the money in the box Is M.
therefore, 3/4 of M=N4.80.
Recall N1=100k..... where k 'kobo'
N4.80=X
X=4.80x100. this gives us 480k.
this implies that 3/4 X M= 480k
therefore by cross multiplication, and dividing by 3; 3M=480 X 4
M = (480 X 4) ÷3
M=1280k
converting from kobo' to Naira. the rate of conversion is;
100k = N1
1280k=?
M in naira= 1280/100
M is N12.8
Martha kicks a soccer ball
Answer:
I kick it back Martha :).......
The mean temperature for the first 7 days in January was 6 °C.
The temperature on the 8th day was 3 °C.
What is the mean temperature for the first 8 days in January?
Answer:
GIME SOME POINTS
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 4.5
Which statement compares the limit as x approaches –4 for the two graphs? In both graph I and graph II, the limit is 5. In both graph I and graph II, the limit does not exist. In graph I, the limit does not exist, but in graph II, the limit is 5. In graph I, the limit is 8, but in graph II, the limit does not exist.
ANSWER: A
Answer:
(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.
If the length of a rectangle is 1 cm more than three times the width and if the perimeter of the rectangle is 34 cm what is the dimension of the rectangle
Answer:
width: 4cm
length: 13cm
Step-by-step explanation:
Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We can substitute our values into the equation:
34 = 2(3w + 1 + w)
17 = 3w + 1 + w
17 = 4w + 1
16 = 4w
w = 4
We can substitute this into the length:
3w + 1
3(4) + 1
12 + 1
13
What is the slope of line a?
Given:
The graph of a line a.
To find:
The slope of the line a.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:
[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]
[tex]m=\dfrac{-3}{1}[/tex]
[tex]m=-3[/tex]
The slope of the line a is -3. Therefore, the correct option is C.
Which point is located at the origin?
Answer:
A
Step-by-step explanation:
A is the answer because the origin is located at point (0,0)
juan creates a new recipe for brownies. For each pan of brownies, he adds 7 dashes of cinnamon. How many dashes of cinnamon will he use for 8 pans of brownies?
Answer:
56 dashes of cinnamon
Step-by-step explanation:
7 dashes of cinnamon = 1 pan of brownies
And we need to make 8 pans of brownies so...
7 dashes of cinnamon x 8 pans of brownies = 56 total dashes of cinnamon :)
Let f(x)=5x+2 and gx=x^2-4x+1
[tex]\frac{f}{g}(5)[/tex]
Answer:
find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6
57:12
Which statement is true for the net and the solid it will form when it is folded?
7cm
8 cm
32 cm
a
b
front
с
8 cm
d
The lath of sidohune the lonth of cidae
Answer:
d
Step-by-step explanation:
if cos theta = 3/5 and theta is in quadrant 4, tan 2 theta =
Answer:
16/9.
Step-by-step explanation:
I am assuming you mean tan^2 theta.
The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.
The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.
The tangent is negative in Q 4
So tan theta = -4/3.
tan^2 theta = 16/9.
What’s it the correct answer? I will mark as brainlest
Answer:
Step-by-step explanation:
(216/4)-20+3(5)
(54)-20+15
34+15 = 49
option 1
Answer:
49
Step-by-step explanation:
(6³ / 4) - 4 * 5 + 3(7 - 2)
= (216 / 4) - 20 + 3 * 5
= (216 / 4) - 20 + 15
= 54 - 20 + 15
= 34 + 15
= 49
Hope it helps