Answer:
1/6
Step-by-step explanation:
In a game of "Rock, Paper, Scissors", there are three possibilities. The probability that Marilyn will get Paper is given as
1/3
In a coin flip, the probability that it will land on tails is
1/2
Therefore, the probability that she will win if she predicts "Paper" and calls Tails is the product of the individual probabilities:
1/3 * 1/2 = 1/6
**DUE IN 20 MINS, PLZZZ HELP**
5 dices are thrown simultaneously. What is the probability of getting two sixes?
+Thank you!
Find the value of sinY
Answer:
[tex] \frac{63}{65} [/tex]
Step-by-step explanation:
Please see the attached picture.
Let's find the value of the opposite side, XZ.
Applying Pythagoras' Theorem,
(XZ)² +(XY)²= (ZY)²
(XZ)² +16²= 65²
(XZ)²= 4225 -256 (bring constant to 1 side)
(XZ)²= 3969 (simplify)
Square root both sides,
XZ= [tex] \sqrt{3969} [/tex]
XZ= 63 (simplify)
sinY
= XZ/ ZY
[tex] = \frac{63}{65} [/tex]
Answer:
63/65
Step-by-step explanation:
What is the value of 1 over 2 x+3.4y when x=3 and y = 4?
Answer:
The value of the given expression is 27.1
Step-by-step explanation:
We are given an expression of two variable x and y.
We need to find the value of expression at x = 3 and y = 4
So first put x = 3 and y = 4 into expression and simplify
1/2 x 3 (3) + 3.4 x 4
➡️ 1/2 x 27 + 13.6
➡️ 27/2 + 13.6
➡️ 13.5 + 13.6
Now, add both of the numbers together. ( as an addition problem)
Therefore, when you ad the 2 together, you get the total of 27.1
A scatter plot and a possible line of best fit is shown:
Is the line of best fit accurate for the data shown?
No, because the line does not touch any points
No, because the line should touch every point
Yes, because it touches the y-axis
Yes, because it passes through the center of the data points
Answer: No, because the line does not touch any points.
Step-by-step explanation:
A line of best fit should pass through most if not all of the points on a graph. If it does not, it can't be considered a line of best fit.
Answer:
Yes, because it passes through the center of the data points.
Step-by-step explanation :
Its D because, the line of best fit does not have to touch any points, it has to be the closest possible to the points.
An Actor invest some money at 6% and $41000 more than twice the amount at 9% the total annual interest earned from the investment is $32490 how much did he invest at each amount use the 6 step method
Answer: he invested $120000 at 6% and $281000 at 9%
Step-by-step explanation:
Let x represent the amount invested at 6%
Let y represent the amount invested at 9%
The Actor invest some money at 6% and $41000 more than twice the amount at 9%. This means that
y = 2x + 41000- - - - - - - - - 1
The interest gotten from x is
6/100 × x = 0.06x
The interest gotten from y is
9/100 × y = 0.09y
The total annual interest earned from the investment is $32490. It means that
0.06x + 0.09y = 32490- - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
0.06x + 0.09(2x + 41000) = 32490
0.06x + 0.18x + 3690 = 32490
0.06x + 0.18x = 32490 - 3690
0.24x = 28800
x = 28800/0.24
x = 120000
Substituting x = 120000 into equation 1, it becomes
y = 2(120000) + 41000
y = 281000
The volume of each figure. Round answer to the nearest hundredth if necessary
Answer:
12
Step-by-step explanation:
Please help me with this question please help
Step-by-step explanation:
Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.
Can anyone help please?
Answer:
the LCM for 5 and 6 is 30
the LCM for 4 and 8 is 8
What is the equation for the blue line?
Answer:
f(x) = -1/2x + 2
Step-by-step explanation:
f(x) = ax + b
x = 0 , y = 2
y = 0 , x = 4
[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]
[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]
f(x) = -1/2x + 2
f(n) = -11 + 22(n = 1)
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n - 1)+
Answer:
[tex]f(n)=f(n-1)+22[/tex].
Step-by-step explanation:
Note: In the given function it should be (n-1) instead of (n=1).
Consider the given function is
[tex]f(n)=-11+22(n-1)[/tex]
It is the explicit form of an A.P.
For [tex]n=1[/tex],
[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]
For [tex]n=2[/tex],
[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]
Common difference is
[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]
The recursive formula of an A.P. is
[tex]f(n)=f(n-1)+d[/tex]
Substitute [tex]d=22[/tex] in the above formula.
[tex]f(n)=f(n-1)+(22)[/tex]
[tex]f(n)=f(n-1)+22[/tex]
Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].
Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.
Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)
The two events are independent from one another.
If Jodi eats 2 chocolates she will consume 72 calories how many calories will she consume if she eats 5 chocolates
Answer:
x = 180
Step-by-step explanation:
We can use ratios to solve
2 chocolates 5 chocolates
--------------------- = ------------------
72 calories x calories
Using cross products
2 *x = 5*72
2x = 360
Divide each side by 2
2x/2 = 360/2
x = 180
Set up a ratio 2/72 = 5/x.
Now use cross-products.
(2)(x) = (5)(72).
2x = 360.
Now divide both sides by 2.
This gives us x = 180.
So, Jodi consumes 180 chocolates when she eats 5 chocolates.
car is moving at 75 kilometers per hour what is its speed in metres per minutes?
Answer:
75 km / h = 1250 m / m;
Solution ⇒ 1250 meters / minute
Step-by-step explanation:
Take a look at the explanation below;
[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]
Conclusion; 1250 meters / minute
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?
Answer:
subtract 2x on both sides
Step-by-step explanation:
Answer:
x= -3
Step-by-step explanation:
Move The Terms:
8x -2x =3 = -15
Collect like terms and calculate:
6x = -15-3
Divide both sides of the equation by 6:
x = -3
Final answer:
x= -3
Hope this helped have a good day
at which value(s) of x does the graph of the function f(x) have a vertical asymptote?
Answer:
E. x = 4
F. x = -2
Step-by-step explanation:
Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.
Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown. The first line has a negative slope and goes through (negative 8, 6) and (0, 0). Everything below the line is shaded. The second line has a positive slope and goes through (negative 2, negative 8) and (2, 4). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4. In which section of the graph does the actual solution to the system lie? 1 2 3 4
Answer:
4
Step-by-step explanation:
the answer is 4 so d on edge .
Based on the information given regarding the graph, it should be noted that the correct option is graph 4.
What is a graph?
It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.
From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).
Therefore, the section of the graph where the actual solution to the system lie is in graph 4.
Learn more about graphs on;
https://brainly.com/question/26013847
If you put $6.24 into a savings account that earns 5%, how much interest will you receive at the end of four years
Answer:
$1.24
Step-by-step explanation:
5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)
(edit:forgot the explaination)
what is the equation of the following line? HELP ASAP
Answer:
y=5x
.-.-.-.
jhvghcfghvbkhhx
Answer:
D
Step-by-step explanation:
You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
The slope is 5
Starting with $5,000, you invest in an account that pays 2% APR, compounded quarterly, and plan to leave the money there and not touch it for at least 12 years. How much MORE money would you have after 12 years if the interest had been compounded continuously instead? Round to the nearest cent.
Answer:
$1,352.5
Step-by-step explanation:
A=p(1+r/n)^nt
Where,
P=principal
r=interest rate
n=no of periods
t=time
P=$5,000
r=2%
n=4
t=12
A=5000(1+0.02/4)^4*12
=5000(1+0.005)^48
=5000(1.005)^48
=5000(1.2705)
=$6,352.5
How much more money after 12 years
=$6,352.5-$5000
=$1,352.5
Whats the number in the box?
Answer:
It is 3.
Step-by-step explanation:
By looking at the sentences, you can translate the sentences to equations.
The sum of two numbers is 90, so this involves addition because the sum is the answer of an addition problem. x+y=90.
x is the larger number
y is the smaller number
The larger number is 14 more than or addition sign 3 times or multiplying the smaller number (y).
The equation would be x=14+3y because it is 3 times the smaller number.
Hope this helps!
John wants to send a letter to Peter, who lives on Tesla
Street. John doesn't remember the house number.
However, he knows that it has 4 digits, it is a multiple of 5
and 7 and that the last digit is 0. What is the minimum number
of letters that John has to send to be sure that Peter receives his letter?
Answer:
The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters
Step-by-step explanation:
The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows
Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5
We have the four digit numbers from 1000 to 9999
Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940
Which gives 142 - 15 = 127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0
Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.
The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters
Applying the given information;
size of house number = Four digits which is a multiple of 5 and 7
House number ends with 0
given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10
The Four digit house number will fall between : 1000 to 9999
Determine the total numbers that are divisible by 7 and 10( 1000 / 70 ) = [tex](14 + 2/7) - 2/7)*70 + 70 = 1050[/tex]
( 9999 / 70 ) = [tex]( 142 + 59/70)- 59/70)*70= 9940[/tex]
∴ The minimum number of letters of a four digit number that is a multiple of 5 and 7 and whose last digit = 0 will be
142 - ( 14 + 1 ) = 127 letters
Learn more : https://brainly.com/question/9215444
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer: first one is A, Second is c
Step-by-step explanation:
Researchers are interested in determining whether more women than men prefer the beach to the mountains. In a random sample of 200 women, 45% prefer the beach, whereas in a random sample of 300 men, 52% prefer the beach. What is the 99% confidence interval estimate for the difference between the percentages of women and men who prefer the beach over the mountains?
Answer:
The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%
Step-by-step explanation:
The given parameters are;
Sample size of the women sample, n₁ = 200
Percentage of the women that prefer beach, p₁ = 45%, [tex]\hat p_1[/tex] = 0.45
Sample size of the men sample n₂ = 300
Percentage of the men that prefer beach, p₂ = 52%, [tex]\hat p_2[/tex] = 0.52
Confidence level of the confidence interval = 99%
α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005
The equation for the confidence interval for the difference between two proportions is given as follows;
[tex]\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}[/tex]
[tex]z_{\alpha /2}[/tex] = ±2.57 from the z score tables
Plugging in the vales, we have;
[tex]\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}[/tex]
Which gives;
-0.1872 < [tex](\hat p_1 - \hat p_2)[/tex] < 0.0472
The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.
Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
-(x+7)/6
Step-by-step explanation:
y = -6x-7
Exchange x and y
x= - 6y-7
Solve for y
Add 7 to each side
x+7 = -6y-7+7
x+7 = -6y
Divide by -6
(x+7) / -6 = -6y/-6
(x+7)/ -6 = y
The inverse is -(x+7)/6
I need help with the last one
Dina distributed 120 marbles to three of her friends. Raghu received one-fourth of the marbles. Freya received one - third of the REMAINING marbles. Bineet got half of the REMAINING marbles. Who got the MOST number of marbles?
What is the distance between (8, -3) and (4, -7)?
The answer is √32 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
what is the rate of change between (29,9) and (33,10)?
Answer:
m= 1/4
Step-by-step explanation:
tried helping I don't know if this is the right way to do it for you
Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!!
Answer:
$12,000,000
Step-by-step explanation:
The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.
given the graph function below which of the following ordered pairs are found on the inverse function
Answer:
Option A.
Step-by-step explanation:
Graph of function has been given in the figure.
Coordinates of the points lying on this graph will be
x -2 -1 0 1 2
y -10 -3 -2 -1 6
Therefore, coordinates of the points which will lie on the inverse of this function will be
x -10 -3 -2 -1 6
y -2 -1 0 1 2
Therefore, Option A. will be the answer.