*6 sided die*
*Bag with 2 red marbles, 2 yellow, 2 green, 1 blue, and 1 purple*
A die is rolled and marble is selected from the bag shown. Find each probability.
HINT: These events are independent.
a) P(even number and yellow) = ___
1. 1/8
2. 5/14
3. 1/14
4. 1/16
b) P(odd number and not green) = ___
1. 5/14
2. 3/8
3. 1/8
4. 9/14
c) P(1 and red) = ___
d) P(3 and purple) = ___
PLEASE HELP!!
Answer:
Step-by-step explanation:
P(even + yellow)
P(even) = 3/6 (2 , 4, 6)
P(yellow) = 2/8
P(both) = 3/6 * 2/8
P(both) = 1/2 * 1/4
P(both) = 1/8
Odd number = 3/6
Not green = 6/8
P(Both) = 1/2 * 3/4 = 3/8
P{1 and red )
P(1) = 1/6
P(red) = 2/8
P(Both) = 1/6 * 1/4 = 1/24
P(3) = 1/6
P(Purple) = 1/8
P(both) = 1/6 * 1/8 = 1/48
Write 931 x 10-5 in standard notation.
Answer:
0.000093
Step-by-step explanation:
Answer:
0.000093
Step-by-step explanation:
If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?
Answer:
The image of the given points after the translation is;
(-1,13) , (-2,9) and (-1,-2)
Step-by-step explanation:
By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value
so for (-1,8); it will become (-1, 8 + 5) = (-1,13)
for (-2,4); it will become (-2,4 + 5) = (-2,9)
for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)
A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (Use either elimination or substitutions) SHOW ALL STEPS PRETTY PLEASE !!
Answer:
Number of ml of 40% sugar = x = 1000mL
Number of ml of 85% sugar used = y = 800mL
Step-by-step explanation:
Let the
Number of ml of 40% sugar = x
Number of ml of 85% sugar used = y
From the above question, our system of equations is given as:
x + y = 1800mL ....... Equation 1
x = 1800 - y
40% × x + 85% × y = 60% × 1800mL
0.4x + 0.85y = 1080.... Equation 2
We substitute 1800 - y for x in Equation 2
0.4(1800 - y) + 0.85y = 1080
720 - 0.4y + 0.85y = 1080
- 0.4y + 0.85y = 1080 - 720
0.45y = 360
y = 360/0.45
y = 800mL
Solving for x
x = 1800 - y
x = 1800 - 800
x = 1000mL
Therefore,
Number of ml of 40% sugar = x = 1000mL
Number of ml of 85% sugar used = y = 800mL
I need help can someone pls help me I need to get this right for my test :((!
Please help, I’m so confused, will mark brainiliest
Answer:
(false) (false) lowerest: (true)
Reflected over y-axis followed by a translation up 3 units
Step-by-step explanation:
A (-2 , -6) -> A'' (2 , -6) ..... Reflected over y-axis
A'' (2 , -6) -> A' (2 , -6 +3) -> (2 , -3) ... vertical translation up 3 units
What is the value of X I don’t understand this
Answer:
X=4
Step-by-step explanation:
28+8=36
36/9=4
9*4=36
36-8=28
x=4
What is the range of y= x + 2?
Answer:
A) all real numbers greater than or equal to 2
Domain: [tex]x\geq 0[/tex]
Step-by-step explanation:
The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.
Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.
What is the radius of D?
Answer:
[tex]\huge\colorbox{pink}{✏﹏ \: 3 cm\: }[/tex]
Step-by-step explanation:
Diameter (d) = 6 cm
Radius (r) = ?
[tex]r = \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \:cm[/tex]
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
A town has a population of 16,000 and grows at 4.5 every year what will be the population after eight years to the nearest whole number
Answer:
The population after 8 years is 22752.
Step-by-step explanation:
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?
Answer:
[tex]t=3.142sec[/tex]
Step-by-step explanation:
From the question we are told that:
Speed of ball [tex]V=35m/s\approx 80 mph[/tex]
Length of field [tex]l=110m[/tex]
Generally the equation for Time taken [tex]t[/tex] is mathematically given by
[tex]t=m/V[/tex]
[tex]t=110/35[/tex]
[tex]t=3.142sec[/tex]
[tex]t \approx \frac{3.142}{60}[/tex]
[tex]t \approx 0.05hrs[/tex]
Therefore it will take the ball to get from one end of the field to the other
[tex]t=3.142sec[/tex]
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.
Answer:
55.8 feet
I hope this helps people
-4x + 1 = -11
how do i solve this
Answer:
3
Step-by-step explanation:
- 4x + 1 = - 11
- 4x = - 11 - 1
- 4x = - 12
x = - 12 / - 4
x = 3
Answer:
-4X+1=-11
-4x=-11-1
-4x=12
x=12/4
x=3
Can someone help me???
Answer:
91 cm squared
Step-by-step explanation:
13 x 7 = 91
Answer: 77
Step-by-step explanation:
13 × 7 - (4 × 3) - (2 × 1)
Have a good day :)
A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?
Answer: 12 days
Step-by-step explanation:
Given
A community pool charges $78 for a swim lesson and $2 for a towel each day
Suppose Yolanda attended the session for x days
So, we can write the total fees of $102 as
[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]
So, Yolanda attended the swim lessons for 12 days
Can someone tell me the answer?
As the number of pounds of apples purchased increases so does the total cost of the apples. If 2.5 pounds of apples cost $7.45, how much does 6 pounds of apples cost?
First divide
6/2.5=2.4
Then multiply
7.45*2.4=17.88
6 pounds of apples cost $17.88
A cyclist travels 9 km from home to the park. She leaves home at 09:30 and arrives at the park at 09:45. What is her average speed in km/h?
Answer:
36km/h
Step-by-step explanation:
Given data
Distance= 9km
Time= 9:30- 9:45
TIme = 15min
Min- Hours
15min is = 0.25 hours
Hence the speed is as follows
Speed= distance/time
Speed= 9/0.25
Speed= 36km/h
Hence the speed is 36km/h
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Learn more on vertex form here: https://brainly.com/question/525947
A multiple choice test has 7 questions each of which has 4 possible answers, only one of which
is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the
probability that she will answer 3 or more questions correctly?
0.756
0.311
0.244
0.0156
The probability of her being able to answer 3 or more questions right is (B) 0.0156.
What is Probability?Probability is simply the possibility that something will happen.
Since we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
It is based on the probability that something will happen.
The fundamental underpinning of theoretical probability is the justification for probability.
For instance, while flipping a coin, there is a 12-percent probability that it will land on its head.
So, the probability that she will answer 3 or more correct answers:
1/4 * 1/4 * 1/4 = 1/64 = 0.0156
Therefore, the probability of her being able to answer 3 or more questions right is (B) 0.0156.
Know more about Probability here:
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Correct question:
A multiple-choice test has 7 questions each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer 3 or more questions correctly?
A. 0.311
B. 0.0156
C. 0.244
D. 0.756
What is the probability of spinning a number greater than 4 or an odd number?
Answer:
3/5 will be greater than 4 while 1/2 will be an odd number.
Given the following kite find:
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
Determine the value of y, if x is 7.
y = x2 - 1
Answer:
13
Step-by-step explanation:
If x is 7, then 7 * 2 = 13, and 14 - 1 = 13.
Hope that this helps!
Evaluate -2.5 – 2.5
show your work pls and ty
Answer:
-5
Step-by-step explanation:
see image below:)
Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =
Answer:
12/49
Step-by-step explanation:
Alli and Beth are driving to meet up. Alli starts at mile marker 3 on the interstate and travels 60 mph. Beth starts at mile marker 503, traveling 65 mph. They will meet in ____ hours. (Solve using substitution)
Answer:4 hours
Step-by-step explanation:
I just did this question
By finding the quotient between distance and speed, we will see that they will meet after 4 hours.
In how many hours will they meet?First, we need to find the distance between them.
Ali starts on mile marker 3.Beth starts at mile marker 503.So the distance between them is:
D = 503mi - 3 mi = 500 mi
And we know that Ali travels with a speed of 60mph, while Beth travels with a speed of 65 mph.
Then the combined speed is:
S = 60mph + 65 mph = 125 mph
Remember the relation:
Speed*time = distance
Here we know the speed and the distance, so we can get the time:
T = D/S = 500 mi/ 125 mph = 4h
They will meet after 4 hours.
If you want to learn more about speed, you can read:
https://brainly.com/question/4931057
What would this expression be when simplified
Answer:
The first one is the answer
Step-by-step explanation:
What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
m
A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.
Answer:
x = 10.2 m
Step-by-step explanation:
law of sines:
sin 30° / x = sin 69° / 19
cross-multiply:
.5(19) = sin 69°x
x = .5(19) / sin 69°
x = 9.5/.934
x = 10.2
The value of x with the help of sine law is 10.2 units.
What is Sine Law?
Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
Here, Law of sines:
[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]
sin 30° / x = sin 69° / 19
1/2x = sin 69° / 19
cross-multiply:
19/2 = sin 69°x
x = 9.5 / sin 69°
x = 9.5/0.934
x = 10.2
Thus, the value of x with the help of sine law is 10.2 units.
Learn more about Sine Law from:
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HELP ASAPPPPP PLEASEE
Answer:
A, B, B, A.
Step-by-step explanation:
The corner is 90 degrees. Therefore it has one right angle and is right. An isosceles triangle has 2 sides of equal length.
Answer:
abba.
Step-by-step explanation:
ksksskskwkwrandommmmmm
Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5
Cecilia has the shirts indicated in the table.
Color
Pink
White
Black
Blue
Number of Shirts
3
1
4
4
Cecilia will randomly choose one shirt and then put it back in her closet. Then she will
randomly choose another shirt. What is the probability that she will choose a black shirt
and then a pink shirt?
Answer:
it is H
Step-by-step explanation:
4-3 is 1 and there is 12 total objects so it is 1/12