[tex]~~~~~(x+5)^2 = 16\\\\\implies x+5 = \pm\sqrt{16}\\\\\implies x+5 = \pm 4\\\\\implies x =-5 \pm 4\\ \\\implies x = -9~~ \text{or}~~~x=-1[/tex]
Patty tosses the coin and rolls the number cube 60 times. Predict how many times the coin will land on heads and the cube will land on an even number
Half of the time, the coin will land on heads and the cube will land on an even number when Patty tosses the coin and rolls the number cube 60 times.
What is binomial probabilities?The binomial probabilities is the experimental probability in which the total number of output values is 2, therefore it is known as binomial probabilities.
The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.
Patty tosses the coin and rolls the number cube 60 times.
For the coin, there are total 120 outcomes for 60 tosses, in which 60 favorable outcomes to land on heads. Thus, the probability the coin will land on heads is,
[tex]P=\dfrac{60}{120}\\P=\dfrac{1}{2}[/tex]
For the number cube, there are total 360 outcomes (6×60) for 60 rolls, in which 180 favorable outcomes (3×60) to land on even number. Thus, the probability the number cube will land on even number is,
[tex]P=\dfrac{180}{360}\\P=\dfrac{1}{2}[/tex]
Hence, half of the time, the coin will land on heads and the cube will land on an even number when Patty tosses the coin and rolls the number cube 60 times.
Learn more about the binomial probability here;
https://brainly.com/question/24756209
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Please help me this is 100% urgent
*urgent*
Answer:
D
Step-by-step explanation:
[tex]3(5z-3) = 15z -9[/tex]
Answer:
D. 15x - 9 and 3(5z - 3)
Step-by-step explanation:
5(5c + 4)
distribute 5 to each term:
25c + 4
25c + 4 ≠ 10c + 20 | not equivalent
____________________
3(4e - 2)
distribute 3 to each term:
12e - 6
12e - 6 ≠ 7e - 5 | not equivalent
____________________
4(4h + 6)
distribute 4 to each term:
16h + 24
16h + 24 ≠ 16 + 24h | not equivalent
____________________
3(5z - 3)
distribute 3 to each term:
15z - 9
15z - 9 = 15z - 9 | equivalent
Therefore, option D is the correct answer.
hope this helps!
what is the probability of it raining in mexico?
Answer:
do you want it like this or another way
A triangle has sides of 70,30, and 50. What is the distance around the triangle?
a. 300
b. 150
c. 90
d. 190
Answer:
150
Step-by-step explanation:
You would add up all of the sides and that would be your distance.
Hope this helps!
GIVING BRAINLIEST TO WHOEVER CAN GIVE THE RIGHT ANSWER
Answer:
B ∪ C = (-∞, ∞)
B ∩ C = [1, 7)
Step-by-step explanation:
B ∪ C: The union of two sets or intervals is the set of elements which are in either set.
B ∩ C: The intersection of two sets or intervals is the set of elements which are in both sets.
Interval notation symbols
Square brackets [ ]: both endpoints are included in the set.
Round brackets ( ): both endpoints are excluded in the set.
Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.
Square, round [ ): left endpoint is included and right endpoint is excluded in the set.
Given:
B = {z | z ≥ 1}C = {z | z < 7}Therefore,
B = [1, ∞)
C = (-∞, 7)
Therefore, B ∪ C = (-∞, ∞)
As z is either less than 7, or equal to or more than 1 then the intersection is:
B ∩ C = {z | 1 ≤ z < 7} = [1, 7)
Answer:
See below ~
Step-by-step explanation:
B ∪ C = {∞}As all numbers will be included, the union of the sets is equal to all real numbers (infinity)B ∩ C = {1, 2, 3, 4, 5, 6}Only the numbers that are greater than or equal to 1, but less than 72) Rachel wanted to drink exactly three bottles of water each day, so she bought twenty-six
bottles when they were on sale. How many more bottles will she need to buy on the last
day?
Answer:
1
Step-by-step explanation:
Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.
Answer:
1 bottles and the last day
A speaker is in the shape of a cube with an edge length of 3. 5 inches. The speaker is sold in a package in the shape of a square prism with a base area of 16 square inches and a height of 4. 25 inches.
What is the surface area of the package, in square inches? (number ONLY in the answer, DO NOT ROUND)
Answer: 100 inches
Step-by-step explanation: To solve this you have to know the surface area formula for a square prism which is 2a^2+4ah where a is an edge of the base and h is the height. Since 4.25 is the height, we just have to find a base edge. Since the base has an area of 16 inches and it is a square that has all equal sides, we know the base edge is 4 (4 times 4 =16). Now if you plug 4 in for a and 4.25 in for h, you get 100.
You have a Circle with a Radius of 3.5 what is the Radius?
Eva is showing her work in simplifying (7. 3 – 7. 2) – 3. 8 + 3. 7. In which step did Eva make an error?
Step 1: (7. 3 – 7. 2) – 3. 8 + 3. 7
Step 2: 7. 3 + (–7. 2 – 3. 8) + 3. 7 (commutative property)
Step 3: 7. 3 – 11 + 3. 7
Step 4: 7. 3 + 3. 7 – 11 (commutative property)
Step 5: 11 – 11 = 0
A table with a round top is cut in half so that it can be used against a wall after it is cut the edge along the wall is 6 feet what is the area of the table after it is cut in half give your answer in terms of pie
Answer:
9π ft²
Step-by-step explanation:
translate to math this is asking you to find the area of HALF of a circle with a diameter of 6 feet.
find the radius, half of the diameter, 3 feet
area of a circle is pi times the radius squared[tex]A=\pi r^{2} \\\A=\pi 3^{2} \\A=\pi 9\\=9\pi ft^{2}[/tex]
Solve the equation on the interval [0,2π).
8cos^2x+4cosx=0
Select all correct solutions.
0
π/3
π/2
2π/3
π
4π/3
5π/3
3π/2
11π/6
Answer:
π/2, 2π/3, 3π/2, 4π/3.
Step-by-step explanation:
8cos^2x+4cosx=0
4cosx(2cosx + 1) = 0
so cosx = 0, -1/2.
Therfore
When cos x = 0:
x = π/2, 3π/2
When cos x = -1/2:
x = 2π/3, 4π/3.
Answer:
π/22π/34π/33π/2Step-by-step explanation:
TTT
HELP PLEASE WILL MARK BRAINLIEST
Answer:
Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A.
Step-by-step explanation:
Let's calculate the test statistic of each score based on the mean and standard deviation of each test.
This statistic will show us how far from the mean, measured in standard deviations, Wyatt's test score is.
The formula for the test statistic is:
[tex]\displaystyle Z = \frac{x- \mu}{\sigma}[/tex] x = observed value[tex]\mu[/tex] is the population mean [tex]\sigma[/tex] is the population standard deviationLet's calculate the test statistic for each test.
Exam A:
[tex]\displaystyle Z = \frac{45-35}{5} = \frac{10}{5}= 2[/tex]Exam B:
[tex]\displaystyle Z = \frac{x-100}{25}[/tex]Since we want the test statistic to be the same for both exam A and exam B, let Z = 2 and solve for x for Exam B.
[tex]\displaystyle 2 = \frac{x-100}{25} \\ 50 = x - 100 \\ x = 150[/tex]Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A. This score means that Wyatt is 2 standard deviations from the mean score on Exam B as he scored on Exam A.
You have a car loan to pay for a car the interest rate is 4.5% annually for 6 years, calculate your monthly payment (retail price = 42,295)
Answer:
613
Step-by-step explanation:
42,295*0.045=1,903
42295+1903=44198
6*12=72
44198/72=613
A rectangular prism measures 6 m long and 3 m wide. If the volume of the prism is 162 m*, what is the height of the prism
Answer: 9 m
Step-by-step explanation:
Volume of the rectangular prism
V=w*h*l
V=162m^3
162=6*3*h
162=18*h
h= 162/18=9
the height h=9 m
A tennis match requires that a player win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player wins the match, assuming that each player is equally likely to win each set
Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, these following outcomes result in the player winning the match:
Wins the third set, with 0.5 probability.Loses the third set but wins the fourth, each with 0.5 probability.Loses the third and fourth sets but wins the fifth, each with 0.5 probability.Hence, the probability that he wins the match is given as follows:
p = 0.5 + 0.5² + 0.5³ = 0.875.
More can be learned about probabilities at https://brainly.com/question/14398287
***"
Factor. 8lb+ 27c - 150
-
+
-
A. 9(73b + 18c-6d)
B. 3(27b + 9c - 5d)
C. 9(96 + 3c - 150)
D. 6(246 + 4c - 3d)
Answer:
Option B: 3(27b + 9c - 5d)
Step-by-step explanation:
The equation is actually 8lb+ 27c - 15d
A common factor is 3:
3(27b + 9c -5d)
Option B: 3(27b + 9c - 5d)
the sum of a two digit number is 8 if the digits are reversed the number is increased by 54 what is this number?
Answer:
26
Step-by-step explanation:
2 + 6 = 8
62 - 8 = 54
guess and check
welcome back to another brainiest fair you be ask 1 question and if you get it right you get a glorious brainiest like the other people coming up today is...........
Answer:
Sleet
Step-by-step explanation:
Sleet falls as ice pellets.
the answer is sleet
hope it really helps...!!!
I AM CONFUISED I ONLY GOT 1 MIN TIL MY COMPUTER DIES!!!!
(This only has 1 answer)
You owe some friends $25 and pay them back $18. Which number sentence shows this situation?
25 + 18
-25 + 18
-25 + (-18)
Answer:
-25 + 18
Step-by-step explanation:
its the last one :) good luck !!
Is the point (3,4) a solution to 3x+y=13 and x-7=7
$456 is divided between the telephone and electricity bills in a ratio of 2 : 1. What amount goes to the telephone bill?
what would be a equivalent expression for 2^1/3
Answer:
2^1/3
We need to write the given expression in radical form
to convert expression into radical form we use formula
The denominator n in the fraction comes with the radical
numerator 'm' goes inside the radical
Answer:
[tex]\displaystyle \sqrt[3] 2[/tex]
Step-by-step explanation:
[tex]\dispaystyle \sqrt[m]n = n^{\tfrac 1m}~(m\neq0)[/tex]
Which of the following numbers is not divisible by any positive integer except 1 and itself? A. 41 B. 49 C. 51 D. 57 E. 91
Answer:
A. 41 (it is a prime number)
.
.
The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
2.
3
4
5
6 7
8
Answer:The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
Step-by-step explanation:
will give brainliest to first answer+20pts
In the figure shown, what is the measure of angle x?
Triangle ABC has measure of angle BAC equal to 30 degrees and the measure of angle ABC is equal to 75 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.
Answer:
105
Step-by-step explanation:
First find the third angle inside the triangle:
180 - 30 - 75 = 75
Then find x:
180 - 75 = 105
Please I need help it's do tonight
Answer:
use g o og le
Step-by-step explanation:
first, look then there are no options then use brain
Please help! Problem is below! Will give brainiest if possible!
Answer:
A. x and y switch places and new y-value is the opposite (x,y) becomes (y-x)
Step-by-step explanation:
B went from (-1, 4) to (4, 1) and D went from (2, 1) to (1, -2). It is shown here that the x and y values have switched places, so we can eliminate choices C and D (x and y also did not increase by 4). We can see that both new y-values are the opposite of their original signs, -1 changing to 1, and 2 changing to -2. Option B only implies that the numbers switched places with no indication of the change in sign. If this were true, then B would go from (-1, 4) to (4, -1) and D would go from (2, 1) to (1, 2). Therefore, option A is the answer.
hope this helps!
1.1 Calculate the value of L the maximum consumption in category 3
Answer:butt
Step-by-step explanation:guy yes = 10 is yes so 3 = 10 x 10 = 100
What is the formula of alpha
square multiply beta square?
Answer:
Answer. (alpha + beta ) ^2 - 2 × alpha×beta
please mark me as brainlist
please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
By simplifying the expression we get
4/3