Answer:
5/6
Step-by-step explanation:
probability of rolling a 5 on a die=1/6
P of not rolling a 5 = 1-1/6= 5/6
2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
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help me please. I have been doing this for 18 minutes now and can't figure it out!
Answer:
Step-by-step explanation:
area of rectangle=6×4=24 ft²
area of semicircle
\(=\frac{1}{2} \pi (3)^2\\= \frac{9}{2} \pi \\=4.5 \pi \\\approx 4.5\times 3.14\\\approx 14.13 ft^2\\total~area=24+14.13\\=38.13 ~ft^2\)
10% of $70 = what is the answer i do not now it.
Answer:
10% 0f 70 is 7
Step-by-step explanation:
70÷10=7
10%=7
Question 3
Simplify
4x² × 2x³
Step-by-step explanation:
\(4 {x}^{2} \times 2 {x}^{3} = 8 {x}^{5} \)
Answer:
Step-by-step explanation:
4x^2 * 2x^3
(2)^2 *x^2 *2*x^3
(2)^2+1 *x^2+3
(2)^3 *x^5
8*x^5
8x^5
another method
4*x^2*2*x^3
multiply 4 and 2
8*x^2+3
8x^5
in multiplication if the bases are same we add their power(exponent).In division if the bases are same we subtract their power(exponent).
Find the slope of the line passing through the points A(-1, 1) and B(4,-5).
Answer:
is there supposed to be a picture?
Step-by-step explanation:
what three ratios are equivalent to 7:6
Answer:
14:12
21:18
28:24
Step-by-step explanation:
There are multiple but these are just a few
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle.
Answer:
2 by 4 inches
Step-by-step explanation:
If you divide 2 1/2 by 5/4 and 5 by 5/4, you get 2 by 4 inches.
(Edit: I fixed it)
Answer:
The scale factor is a reduction, and the new card should be 4 in x 2 in.
Step-by-step explanation:
Solve working backwards with the distributive property. 7(7) - 7(2) =
Answer:
35
Step-by-step explanation:
(7x7=49) (7x2=14)
then you do
49-14= 35
There are 9 triangles and 3 circles. What is the simplest ratio of circles to triangles?
Answer:
I believe it is 1:2
Answer:
because when there are 3 circles and 9 "triangles" you cut off the top and bottom rows and you end up with 1:3
0 v v v
0 : v v v
0 v v v
0: v v v
A number line going from negative 20 to positive 20.
What is the absolute value of –20?
Use the number line to answer the question.
–20
0
20
40
Answer:
20
Step-by-step explanation:
Absolute value is the distance from zero. Absolute value is always positive.
| -20 | is positive. It is 20 units from 0. So it is 20.
| -20 | = 20
(Be careful, absolute value doesn't just flip the sign to the opposite.
| 20 | = 20 also because the distance from 0 to 20 is also 20.)
you are sent to the local tea shop to pick up 9 drinks. You purchase 3 sweet teas and 6 unsweetened teas. Unfortunately, you forgot to label them. If you pick 3 drinks at random, find the probability of each event below. Give your answers as simplified fractions.
The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21
The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:
Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84
Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14
Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28
Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21
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Round off the numbers then add to find the estimated difference.
ANSWERS ARE INCORRECT
Answer:
500, 300
Step-by-step explanation:
Assuming the rounding is for nearest 100,
635-124
600-100
500
864-612
900-600
300
how to change 2/5 into decimal form?
Answer:
.4
Step-by-step explanation:
2/5
We want the denominator to be a power of 10
2/5 * 2/2 = 4/10
The decimal is .4
So, the first thing we need to know is that the numerator is the TOP number and the denominator is the BOTTOM number on a fraction.
Next, we need to know that the line in between the fraction means division.
Finally, the last step is to divide the numerator by the denominator!
So, using the tips up above, lets solve the question!
We are given \(2/5\).
So here the numerator is \(2\) and the denominator is \(5\)!
Now, we divide \(2\) by \(5\)!
\(2/5=0.4\)
So, \(0.4\) is the final answer!
Hope this helps! If it did may i have brainliest?
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Need help with these 2 math problems please !
Answer:
A,b I’m pretty sure
Step-by-step explanation:
E3kg ka 2 kg 989 9 2069 7 Each packet of nuts has a mass of 325 grams. What is the mass of 8 packets of nuts? 24+ 325 357 kg A yogurt tub contains 1 liter of yogurt
Answer:
2600grams or 2.6kg
Explanation:
From the question, we are told that Each packet of nuts has a mass of 325 grams, this is expressed as;
1 packet = 325grams
To get the mass of 8 packets of nut, we can write;
8 packets = x
Cross multiply both equations
1 * x= 8 * 325
x = 2600grams
Hence Mass of 8 packets is 2600grams or 2.6kg
Jack was 13 years older than Priscilla. together their ages totaled 163 years . What were their ages?
Answer:
Jack is 88, Priscilla is 75.
Step-by-step explanation:
Let J represent Jack's age and let P represent Priscilla's age.
Their age totaled 163, so:
\(J+P=163\)
And we know that Jack was 13 years older than Priscilla. In other words:
\(J=13+P\)
Solve for J and P. To do so, substitute the second equation into the first:
\(13+P+P=163\)
Combine like terms:
\(2P+13=163\)
Subtract 13 from both sides:
\(2P=150\)
Divide 2 from both sides:
\(P=75\)
So, Priscilla is 75 years old right now.
Jack is 13 years older meaning that Jack is 88 years right now.
And we're done!
please please please help me my teacher has no idea how to reach and i desperately need to know this :D
The completed blanks in Nyala's solution that is used to prove that the measure of angle x is 40° is as follows;
If we perform a 180° rotation about the point O the following happens
Ray \(\overleftrightarrow{EF}\) maps unto ray \(\overleftrightarrow{GH}\)
Ray \(\overleftrightarrow{GH}\) maps unto ray \(\overleftrightarrow{FE}\)x
\(\overleftrightarrow{FG}\) maps unto itself
Therefore, the image of angle x will be exactly where the pre-image of 40° was. Since rotation preserve angle measure, the measure of angle x must be 40°.
What is the measure of an angle?The measure of an angle is the degree of rotation between the initial side and the terminal side of the angle.
The details of the method Nyala used to prove that the measure of the angle x is 40° can be found as follows;
The rotation of a line 180° about the center of the line maps onto itself, and the rotation of a line about a non colinear point, is parallel to the original line.
Whereby the center of rotation of the line \(\overleftrightarrow{EF}\) is equidistant from both the line \(\overleftrightarrow{GH}\) which is parallel to the line \(\overleftrightarrow{EF}\), the image of the line \(\overleftrightarrow{EF}\) maps to the line \(\overleftrightarrow{GH}\) following a 180° rotation about the point O, and the rotation of the line \(\overleftrightarrow{FG}\) about the point O maps unto itself, such that the angle x maps to the angle 40°, therefore;
∠x ≅ 40° (A rotation transformation is a rigid transformation)
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The difference of two integers is 5. The smaller integer, x, is 4
more than half of the larger integer, y.
Write an equation to represent
the difference of the two integers.
Answer: You are probably overthinking this. It is simply Y-X=5. The other infromation does not matter to this specific question.
Hope this is what your looking for:)
Write in standard form.
- 3
3.11 X 10
I
Answer: -3.11 x 10^ 1
Step-by-step explanation: - 3
3.11 X 10 = -31.1, in decimal form -3.11 x 10^ 1
I
100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!
Answer:
Domain = (-∞, ∞) Range = (-∞, ∞)
End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞
Inflection Point: (2,0)
Step-by-step explanation:
A test was marked out of 80. Aboy scored
60% of the marks on the test. How many
marks did he score?
(A)20
(B)48
(C)60
(D)75
Answer:
B
Step-by-step explanation:
To solve this you do 80/100=.8
You than do .8×60= 48
The perimeter of the triangle is
equal to the area of the rectangle.
What is the value of x?
Answer:
x=-21
Step-by-step explanation:
make the equation
2x+9x-1+40=6(x-11)
simplify
11x+39=6x-66
solve
5x=-105
x=-21
Find the measure of 3x-46+14=90
Answer:
Step-by-step explanation:
3x = 90 + 46 - 14
3x = 122
x=\(\frac{122}{3}\)≈40,7
Answer: 40.6 repeated
Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated
Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
1 stone = 14 pounds to convert 11 stones into pounds.
Answer:
Step-by-step explanation:
1 stone = 14 pounds
To convert 11 stones into pounds = 11 * 14
= 154 pounds
Unit rate:-
1stone=14lbsTotal stones=11
Total weight
11(14lbs)154lbsFind the present value that will grow to $1000 if the annual interest rate is 5.5% compounded quarterly for 10 years
Answer:
1708.14 rounded
Step-by-step explanation:
Y= a•b^x
5.5% = 0.055
1+0.055=1.055
Y= 1000•1.055^10
Y= 1708.14
24 Identify the min/max value of each. Then sketch the graph. 7) f (x) = -x + 8.x - 20 ܐ 1 4 16 8 fr
The form of the quadratic function is
\(f(x)=ax^2+bx+c\)a is the coefficient of x^2
If a > 0, then the function has a minimum vertex
If a < 0, then the function has a maximum vertex
In the given function
\(f(x)=-x^2+8x-20\)The value of a = -1
Since -1 < 0, then
The given function has a maximum vertex
The function has a maximum value
The graph of the function
Its vertex point is a maximum point (4, -4)
Its maximum value is -4