Answer:
Step-by-step explanation:
Let S be the sample space, n(S) = 60
a) Let A be the event that the selected athlete uses
s less than a minute, n(A) = 59
The probability that a randomly selected athlete uses less a minute, P(A) = n(A)/n(S) = 59/60 = 0.9833
b) 1 - 0.9833 = 0.0167
c) 1 - 1 = 0
Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-intercept. 2/5 < m < 4/9 m < 2/5 or m > 4/9 9/5 < m < 9/4 m < 9/5 or m > 9/4 Not enough information
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
The line passes through (9,4)x-intercept is negativeThe slope (m) is greater than its y-interceptIf we take a point like (-1,0)
Slope (m) = change in y ÷ change in x = [tex]\frac{0 - 9}{-1 - 4} = \frac{-9}{-5}[/tex] = 9/5
This point satisfies the conditions above since;
The line passes through points (9,0) and (-1,0)The x-intercept is negative i.e -1The y-intercept is 0 and the slope which equals 9/5 is greater than 0From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4
4. 19 feet to inches
Use distributive property to evaluate the expression 5(4/1/5)
Answer:
21
Step-by-step explanation:
4[tex]\frac{1}{5}[/tex] = [tex]\frac{21}{5}[/tex]
5 × [tex]\frac{21}{5}[/tex] = (5×21)/5
[tex]\frac{105}{5}[/tex] = 21
Pls help it’s due in the morning ;(
[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1-3}{-4-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-2}{-7}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{7}[/tex]
10:-Points are (-7,6),(11,-4)
[tex]\boxed{\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-4-6}{11+7}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-10}{18}[/tex]
[tex]\\ \sf\longmapsto m=-\dfrac{5}{9}[/tex]
Answer:
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
9) Mark any two point on the line
(x₁ , y₁) = (3 , 3) ; (x₂, y₂) = (-4 ,1)
[tex]Slope =\frac{1-3}{-4-3}\\\\=\frac{-2}{-7}\\\\=\frac{2}{7}[/tex]
10) (x₁ , y₁) = ( -7 , 6) ; (x₂, y₂) = (11 ,-4)
[tex]Slope =\frac{-4-6}{11-[-7]}\\\\ =\frac{-4-6}{11+7}\\\\=\frac{-10}{18}\\\\=\frac{-5}{9}[/tex]
SImplify to standard form (a+bi)
(12-9i)²
Answer:
Hello,
Step-by-step explanation:
Formula used (a+b)^2=a²+2ab+b²
[tex](12-9i)^2=3^2*(4-3i)^2\\\\=9*(16-9-24i)\\\\=9*(7-24i)\\\\=63-216i\\[/tex]
Which toy pack cost of 2.50 per toy ?(brainlist will be given out)!!
Answer: Yo-yo
Concept:
In order to find the Cost Per Toy, we need to do the operation Cost / Toy.
Solve:
Slinky = Cost / Toy = 9 / 5 = $1.8 per toy
Wind-up robot = Cost / Toy = 16 / 8 = $2 per toy
Yo-yo = Cost / Toy = 15 / 6 = $2.5 per toy
Emoji beach ball = Cost / Toy = 3 / 2 = $1.5 per toy
Hope this helps!! :)
Please let me know if you have any questions
If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there
ANSWER AS FAST A POSSIBLE PLS!
156-3^2x5-8^2
Answer:
47
Step-by-step explanation:
first of all simply the ones with powers and you will get 156-9*5-64 then multiply and you will get 156-45-64 simplify and the answer is 47
Consider the functions below. Which of the following statements describes the graph of function g? f(x)=x g(x)=1/5x A.The graph of g is one-fifth of a unit to the left of the graph of f. B. The graph of g is one-fifth of a unit to the right of the graph of f. C. The graph of g is five times steeper than the graph of f. D. The graph of g is one-fifth as steep as the graph of f.
Answer:
one fifth
Step-by-step explanation:
42
Answer:
The graph of g is one-fifth as steep as the graph of f.
Step-by-step explanation:
Square Roots and Cube Roots - Tutorial - Level H
Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.
S
S
Find the positive square
root of 225.
Divide 225 by 4.
Divide 225 by 2.
She doesn't have enough
information to do this.
Answer:
s = 15 in (positive square root of 225)
Step-by-step explanation:
A = 225 in²
side of square mosaic is sq. root of 225 = 15 in
therefore the side (s) = 15 in
need help...!!ASAP..!! plz....
the answer for this is A
Answer:
Correct option is A
Step-by-step explanation:
3x - 7
Three times a number x minus 7
Or
The difference of there times a number and 7
WOULD A KIND S0UL PLEASE HELP ME OUT???!!!!!!!!!!!!
The translation (x, y) ->(x + 10, y – 6) is applied to triangle ABC to create a new image triangle A’B’C’. Graph triangle A’B’C’ on the coordinate plane.
show your work so I can see if your answer makes sense !!!!!
Answer:
here you go mate. sorry I just calculated straight away since you needed it urgently.
but if you use the (x+10, y-6) you'll arrive at similar answers as mine
Answer:
I hope the image helps ^^
Step-by-step explanation:
First, i looked at the x + 10, so I chose a random point from ABC, (C) and moved it 10+.
Then I looked at y - 6, a moved it 6 units down.
There, I found C', so now that I had one of the points from A'B'C', I could make the other ones looking at the triangle ABC.
Since this is a translation, we're only moving the triangle to make ABC. So thats how I found the answer, does that make since?
Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)
Answer:
2n+2 ways to win
Step-by-step explanation:
You generalize by observing patterns in the way you solve the smaller problems.
The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.
For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.
Basic math for 20 points + brainliest!
Answer:
Look at photo
Step-by-step explanation:
how many words can be formed by using the W,X,Y,Z if repetitions is not allowed?
- 30
- 24
- 18
- 12
Answer:
24
Step-by-step explanation:
What you have here is a permutation, seeing as each element can only be used once.
We have 4 letters initially, so we can choose any 1 as our first letter. We have 4 choices for our first letter
However, once we choose our first letter, we can't use it anymore, so, for our second letter, we can only choose from the remaining 3 letters.
Furthermore, once we choose our second letter, we can only choose our 3rd letter from the remaining two letters we didn't choose yet.
Finally, our last letter will always be the one we didn't choose the last 3 times. So there is only one choice here.
Going off of this, we have four choices for the 1st letter, three choices for the 2nd letter, two choices for the 3rd letter, and one choice for the 4th letter
The way to calculate how many permutations we have without repetition is using factorials
N!
Where N is the number of elements you have.
In this case, it would be 4!
4! is 4 * 3 * 2 * 1
Which equals 24
If you notice, each number in 4! is the number of options we have for each choice. 4, then 3, and so on
how many are 5 raised to 2 ???
Answer:
25
Step-by-step explanation:
5^2
This is 5 multiplied by itself 2 times
5*5
25
find the value of tan(arcsin(1/2))
Answer:
0.577
Step-by-step explanation:
inv. sin (0.5) = 30
tan (30) = 0.577
The value of Tan[tex](Sin^{-1}(1/2))[/tex] is 0.58.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan[tex](Sin^{-1}(1/2))[/tex]
[ Sin 30° = 1/2 ]
= Tan([tex]sin^{-1}sin30)[/tex])
= Tan 30°
= 0.58
Thus,
0.58 is the value of Tan[tex](Sin^{-1}(1/2))[/tex] is 0.58.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
Solve for X answer asap thanks
Answer:
Step-by-step explanation:
The formula we need for this is
4(4 + x) = 5(5 + 3) and
16 + 4x = 5(8) and
16 + 4x = 40 and
4x = 24 so
x = 6, choice C.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
Answer:
(1+5*2+(1+3))2=27
0.25*43-1=15
4+8(1/4+2)=22
Step-by-step explanation:
I used a scientific calculator ;)
how many terms of the series 1+4+7........will add up to 425?
Answer:
17 terms
Step-by-step explanation:
Let the number of terms be n which will add up to 425.
So, 425=(n/2)*(2+(n-1)*3). 850=n*(3n-1), n=17 or - 50/3 but n can't be negative, so the answer is n=17
Use the quadratic formula to solve x² + 9x + 10 = 0.
What are the solutions to the equation?
Round irrational solutions to the nearest tenth.
(answer options):
Answer:
The quadratic formula: (-b+-sqrtb^2-4ac)/2a
Plugging in the values of a=1, b=9, and c=10, the roots of the equation are: -7.7 and -1.3.
So, the first option is correct.
Let me know if this helps!
Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.
Help ASAP!
Answer: 20 times 2 = 40/ 40 divided by 2 = 20
Step-by-step explanation: Both of them are used to help find the answer to the equation.
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
The left side
11
does not equal to the right side
4
, which means that the given statement is false.
False
Envision a base-5 numbering system. Write the rules for the system, and give six 3-digit examples in base-5 with their equivalent decimal and binary values.
Answer:
See Explanation Section
Step-by-step explanation:
Given
A base 5 numbering system: Envision
Some of the rules are as follows:
For a base 5 system, the highest individual digit is 4: Meaning that the 1234, 343, 110 are valid digits while 1235, 78, 55 are invalid digitsThe place values of this system are in place of 5s: i.e. ......5°, 5¹, 5², 5³, 5⁴......3 digit examples
1
Base 5: 100
Base 10: 25 (See calculation below)
[tex]1 * 5^2 + 0 * 5^1 + 0 * 5^0 = 1 * 25 + 0 + 0 = 25[/tex]
Base 2: 11001 (See calculation below)
[tex]25 / 2 = 12\ R\ 1[/tex]
[tex]12 / 2 = 6\ R\ 0[/tex]
[tex]6 / 2 = 3\ R\ 0[/tex]
[tex]3 / 2 = 1\ R\ 1[/tex]
[tex]1 / 2 = 0\ R\ 1[/tex]
Writing the remainder from bottom: 11001
Using the same steps as used in (1) above
2.
Base 5: 211
Base 10: 56
Base 2: 111000
3.
Base 5: 441
Base 10: 121
Base 2: 1111001
4.
Base 5: 230
Base 10: 65
Base 2: 1000001
5.
Base 5: 342
Base 10: 97
Base 2: 1100001
6.
Base 5: 141
Base 10: 46
Base 2: 101110
the area of kitchen is 149m^2 how many tiles each of area 0.2m^2 are needed to flooring the kitchen what will be the total coast at the rate of rs 250 per tiles..
Answer:
186,250 rs
Step-by-step explanation:
So
149m is the whole space
0.2m is one tile space
250 rs = 0.2 tiles (so 250=1)
so if there is
Suppose a graph passes the horizontal line test: No horizontal line can be drawn that touches the graph in more than one location. Does this mean that the graph represents a function? If not, is there anything special about a graph that passes the horizontal line test? Share your ideas with a classmate.
Answer:
Step-by-step explanation:
If a function passes the horizontal line test, then we may conclude that the inverse of the function exists and can be found.
Plz help me. what is 4.9 * 10^-5 +.0005
Answer:
It should be 490000.0005
Step-by-step explanation:
4.9*10^5+.0005
10^5=100000
4.9*100000=490000
490000+.0005=490000.0005
Answer:
Step-by-step explanation:
[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100,000}=0.00001\\\\[/tex]
4.9* 10^-5 +0.0005 = 4.9 * 0.00001 + 0.0005
= 0.000049 + 0.0005
= 0.000549
what is an equivalent expression for (6^4 *8^-7)^-9
Answer:
(6⁴ * 8⁻⁷) ⁻⁹
equivalent expressión is:
1 / (6⁴ * 8⁻⁷)⁹
Step-by-step explanation:
(6⁴ * 8⁻⁷) ⁻⁹
= 1 / (6⁴ * 8⁻⁷)⁹
Does The TI-Nspire works just like the TI-84 ?
Answer:
TI-Nspire models automatically detect most points of interest such as x and y-intercepts, maximum values, and minimum values when you are in trace mode. TI-84 Plus models require you to use a series of left and right bounds and guesses to find those same values.
the square of 1/4 equal the square root of
Answer:
[tex]\frac{1}{256}[/tex]
Step-by-step explanation:
(¼)²=√x
√x=1/16
x=(1/16)²
x= 1/256