Answer:
[tex] \frac{10}{53 \times 46 \times 26} [/tex]
Step-by-step explanation:
The probability of matching the number drawn on the gold ball is
[tex] \frac{1}{46} [/tex]
The number of possible pairs of numbers from 1 to 53 is
[tex] \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26[/tex]
Choosing 5 numbers, you are choosing 10 different pairs:
[tex] \binom{5}{2} = \frac{5 \times 4}{2} = 10[/tex]
Therefore the probability of correctly matching the drawn pair is
[tex] \frac{10}{53 \times 26} [/tex]
Thus, the probability of winning (matching the pair AND the gold ball) is
[tex] \frac{10}{53 \times 46 \times 26} [/tex]
PLEASE HELP FAST WILL GIVE BRAINLIEST
Answer:
QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?
The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?
Answer:
9%
Step-by-step explanation:
Given :
Principal, P = 400
Time, t = 4 months = 4/12 = 0.33333
Simple interest = 12
Simple interest = (principal * rate * time)
Rate = r
12 = (400 * r * 0.33333)
12 = 133.3333r
r = 12 / 133.3333
r = 0.090000
r = 0.09
rate = 0.09 * 100% = 9%
The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:
26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61
What is the range of the set of data?
Answer:
35
Step-by-step explanation:
subtract highest and lowest numbers
A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?
Answer:
Each litters can be represented as; x and y respectively to the 7% and the 28%
x + y =1
7x + 28y =19.6
This a simultaneous equation and can either be solved by using elimination or substitution method
Using the substitution method
eqn1, x=1-y
putting into eqn2
7(1-y)+28y =19.6
7-7y+28y=19.6
21y=12.6
y=3/5
but x=1-y
so
x=1-3/5
x=2/5
2. The two figures are similar. Write the similarity statement. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image (Hint: What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?
Answer:
1.66666666667
Step-by-step explanation:
I have to find the scale factor of the side lengths. This would be 1.66666666667. Why? The side lengths for triangle 1 are: 40 and 50. Triangle 2's side lengths: 24 and 30. Match the lengths, and divide. 50 divided by 30=1.66666666667, and 40 divided by 24=1.66666666667, Hope this helped!
What is the equation represented by the table above?
A y = 8x
B y = x + 7
C y = 5x + 3
Dy = 3x + 5
Answer:
C: y = 5x + 3
Step-by-step explanation:
Note that if x changes from 1 to 3 (the "run"), y changes from 8 to 14 (the "rise"). Thus the slope of the line represented by the table is m = rise/run = 6/2, or m = 3. Answer choice D is the only one that displays a slope of 3.
Answer:
Answer is D
Step-by-step explanation:
A. 14=8(3), 14≠24
B. 14=3+7 , 14≠10
C. 14=5(3)+3, 14≠18
D.14=3(3)+5, 14=9+5 14=14
Find the area of the triangle shown
6 cm
8 cm
O 48 cm squared
O 24 cm squared
O 14 cm squared
O Not here
If an item is on sale for 60% off, that means you actually PAY _____% of the price.
Answer:
40%
Step-by-step explanation:
100-60=40
Rob bought a hat and 3 shirts for $35. Dan bought 2 hats and a shirt for $20.
Which system of equations can be used to find s , the cost of one shirt, and h , the cost of one hat?
Answer:
1 shirt costs $11.2 1 hat costs $10.
Step-by-step explanation:
35 divided by 3
20 divided by 2
Does the figure below have rotational symmetry? Explain.
A.)Yes; it can be rotated 360° or less and match the original figure.
B.)Yes; it can be rotated 180° or less and match the original figure.
C.)No; it does not match the original figure after any rotation of 180° or less.
D.)No; it does not match the original figure after any rotation of 360° or less.
Answer:
B.) Yes; it can be rotated 180° or less and match the original figure.
Step-by-step explanation:
You have to trust me its b I did the quiz on Pearson Conexus. I would show a picture but I'm on pc and don't know how to .
My answer will help.
Anyways, have a great day/night !! <3
Step-by-step explanation:
Does the figure below have rotational symmetry? Explain.
A.)Yes; it can be rotated 360° or less and match the original figure.
B.)Yes; it can be rotated 180° or less and match the original figure.
C.)No; it does not match the original figure after any rotation of 180° or less.
D.)No; it does not match the original figure after any rotation of 360° or less.
simplify the screenshot below
Answer:
-4x - 16y
Step-by-step explanation:
Given:
-4(3x - 2x + 4y)
Required:
Simplify
Solution:
To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4
Thus:
-4*3x -4*-2x -4*+4y
-12x + 8x - 16y
Add like terms
-4x - 16y
Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?
Answer:
a
Step-by-step explanation:
HElp pls :((((((((((((
Answer:Just add them all
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
First you have to find the percentage of pan crust to all the other crusts to do this you add all the crusts together:
397+220+167+196 = 980
Then divide 196 by 980:
196/980 = .2 or 20%
Then multiply 400 by 20%
400*20% = 80
A red car left the park at 9 am. An hour later a blue car left the same park, heading to the same destination. If both cars arrived at the destination at 1 pm, and the speed of the blue car was 15 mph faster than the red car, what was the speed of the blue car?
Answer: 60 mph
Step-by-step explanation:
Given
The red car left at 9 am and arrives at 1 pm
time taken by the red car [tex]t_a=4\ hr[/tex]
time taken by the blue car [tex]t_b=3\ hr[/tex]
Assume the speed of the red car is v
So, the speed of the blue car is v+15
distance traveled by them is the same
[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]
Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]
PLEASE HELP!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!
The picture shows the question, tables, and multiple-choice answers.
Love you, tysm, happy tuesday <3
Please help no links
Answer: Big rectangle shades 1/4+1/2
Step-by-step explanation:
So have a Big
can anyone help me with this question?
Answer:
45 and 13…......
Step-by-step explanation:
devide
I need help with this question
Answer:
286 Degrees
Step-by-step explanation:
A circle is 360 degrees, and from the question, we know that it is asking for ACB, so it would be 360 - 74, which is 286 degrees
Brainliest Maybe?
En san pedro de atacama, un dia de septiembre a las 7a.M., la temperatura fue de 6°c, la que fue aumentando 2,3°c en promedio por hora hasta que alcanzo su maxima de 30,15 °c ¿ a que hora alcanzo su temperatura maxima
Answer:
5:30 p.m.
Step-by-step explanation:
30.15 - 6 = 24.15
24.15 / 2.3 = 10.5 hrs
7 + 10.5 = 17.5 = 5:30 p.m.
Use The Figure Below to Solve For x.
Answer:
x=-1
Step-by-step explanation:
Hello there!
The information we are given:
We are told that the distance from point a to c is x + 10
We are told that the distance from a to b is 5
we are also told that the distance from b to c is 2x+6
Because from point A to B and B to C is inside the total of A to C we can add the two together and create a equation to solve for x
so the sum of the two parts 5 + 2x + 6
*combine like terms*
11 + 2x
is equal to the total distance (x+10)
now we solve for x
11 + 2x = x + 10
step 1 subtract x from each side by
2x - x = x
x -x cancels out
now we have 11 + x = 10
step 2 subtract 11 from each side
11-11 cancels out
10 - 11 = -1
we're left with x = -1
Now lets plug in x and see if A to C is equal to A to B + B to C
(-1) + 10 = 5 + 2(-1) + 6
10 - 1= 9
2*-1=-2
6-2=4
4+5=9
9=9
which is true so we can conclude that x = -1
Is j+j+j+j and j with the power of four equivalent?
Answer:
No, they are not equivalent.
Step-by-step explanation:
j + j + j + j = 4j
j^4
Let's say j = 2
4j = 8
j^4 = 16
Answer:
NO
Step-by-step explanation:
j+j+j+j
remember multiplication is repeated addition!
j+j+j+j = 4j
THIS IS DIFFERENT! powers are repeated MULTIPLICATION.
j^4 = j to the power of 4 = j * j * j * j, NOT j+j+j+j !!!!!
Help please :) (asap)
x^2 - x - 6= 0
(x - 3) ( x + 2) = 0
Equating
x - 3 = 0
x = 3
x+ 2= 0
x = -2
Answer: x - 6
Step-by-step explanation:
Choose the correct statement about best-fit lines.
a.
A best-fit line is close to most of the data points.
b.
A best-fit line describes the exact coordinates of each point in the data set.
c.
A best-fit line always has a positive slope.
d.
A best-fit line must go through at least two of the data points.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
A line of best fit is a line that gives an estimate of where the line would be, therefore it is close to most of the data points.
Answer:
A)
Step-by-step explanation:
URGENT!!!!HELP!!!!PLS!!!NOW!!!!!!HURRY!!!
Answer:
I'm guessing it's 4 i think but sorry if it's wrong
Step-by-step explanation:
Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, h, Mario can afford to buy.
Write the inequality.
solve the inequality
Answer:
I think hamburgers=12
Step-by-step explanation:
anyone know the answer?
If a car can travel 78 miles using 3 gallons of gas, what is the unit rate?
Answer:
26
Step-by-step explanation:
Well since a car can travel 78 miles Using 3 gallons
78/3=26
26 miles for each gallon
Answer:
26
Step-by-step explanation:
The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like [tex]78=3x[/tex]. Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.
A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.
Answer:
Length of rectangle = 51 cm
Width of rectangle = 24 cm
Step-by-step explanation:
Given:
Perimeter of rectangle = 150 cm
Find:
Length and width of the rectangle
Computation:
Assume;
Width of rectangle = a cm
Length of rectangle = 2a + 3 cm
Perimeter of rectangle = 2[l + b]
150 = 2[(2a + 3) + a]
2[3a + 3] = 150
6a + 6 = 150
6a = 144
a = 24
Width of rectangle = 24 cm
Length of rectangle = 2a + 3 cm
Length of rectangle = 2(24) + 3 cm
Length of rectangle = 51 cm
Consider the quadratic equation x2+8x+9=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
Answer:
x²+8x+9=0
Comparing above equation with ax²+bx +c
we get
a=1
b=8
c=9
quadratic equation is
[tex]x = \frac{ - 8± \sqrt{ {8}^{2} - 4×1×9} }{2*1} [/tex]
[tex]x = \frac{ -8± \sqrt{ 64-36} }{2} [/tex]
2x+8=±[tex] \sqrt{ {28}}[/tex]
taking + ve
2x=[tex] \sqrt{ {28}}[/tex]-8
x=[tex] 2\sqrt{ {7}}[/tex]-8/2
x=[tex] \sqrt{ {7}}[/tex]-4
taking -ve
2x=-[tex] \sqrt{ {28}}[/tex]-8
x=-[tex] 2\sqrt{ {7}}[/tex]-8/2
x=-[tex] \sqrt{ {7}}[/tex]-4
As given
x²+8x+9=0General equation
Ax²+Bx+COn comparing
A=1B=8C=9I need help plzzz
-6p + 19 > 7
Answer:
p < 2
Step-by-step explanation:
hope this is right and have a good day