The probability that he will have to wait 5 minutes or less for the next bus is given by P ( A ) = 5/12
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
A bus picks up passengers at a bus stop every 12 minutes in the morning
And , Adrian arrives at the bus stop at a random time
where he has to wait 5 minutes or less for the next bus
Now , since buses arrive every 12 minutes, Adrian will have to wait between 0 and 5 minutes if he arrives during a 5-minute window that occurs every 12 minutes.
Therefore, the probability that Adrian will have to wait between 0 and 5 minutes is the ratio of the length of the 5-minute window to the length of the 12-minute interval:
P(waiting ≤ 5 minutes) = 5/12
Hence , the probability is P ( A ) = 5/12
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What are the coordinates of the triangle (ABC) when reflected across the y-axis?
A. A'(−2, 4), B'(−6, 2), C'(−2, −6)
B. A'(2, 4), B'(6, 2), C'(2, −6)
C. A'(−1, 3), B'(−3, 1), C'(−1, −3)
D. A'(−2, −4), B'(−6, −1), C'(1, 6)
9514 1404 393
Answer:
A. A'(−2, 4), B'(−6, 2), C'(−2, −6)
Step-by-step explanation:
Reflection across the y-axis negates the x-coordinate:
(x, y) ⇒ (-x, y) . . . . reflection across the y-axis
Looking at the answer choices, we see that they all differ in A', so we can make the appropriate choice just by looking at point A
A(2, 4) ⇒ A'(-2, 4) . . . . matches choice A
Enlarge the triangle by scale factor 0.5 using (3, 1)
as the centre of enlargement.
Answer:
(1.5, 0.5)
Step-by-step explanation:
Given the coordinate point (x, y, if it is enlarged by a factor of k, hence the resulting coordinate will be (kx, ky)
Given the coordinate (3,1). If enlarged by a factor of 0.5, the resulting coordinate will be (3*0.5, 1 * 0.5) = (1.5, 0.5)
Answer:
USE: (0,2) (0,4) (-1,4)
Step-by-step explanation:
PLEASE USE THESE CO - ORDINATES IN ORDER TO PLOT THE TRIANGLE AND THEN USE THE LINES TO JOIN IT UP
Always proud to help!
Swel 2.) Mental Math: 20 - 12.45 Your answer
Answer:
7.55
Step-by-step explanation:
Is this a school thing or just for random brainly users?
if one lottery player A wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1-42) and matching the number on the gold ball (1-34). of one ticket is purchased what is the probability of winning the jackpot?
Answer:
1/7140
Step-by-step explanation:
42x5=210
210x34=7140
Can you please mark me brainliest? I'm trying to become a Virtuoso.
A parallelogram has a height of 3 feet and a base of 4 feet. What is the area parallelogram?
pls answer fast
Answer:
Area is always multiplication. 3*4= 12. Area equals 12 feet.
Step-by-step explanation:
There is probably an equation specific to the base (the parallelogram)- use that formula to plug in the numbers to multiply that give you the area.
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
if ur asking for area, it is 193.52 ft²
Step-by-step explanation:
16.4 x 11.8
Answer:
193.52 ft is the area
hope this helps
have a good day :)
Step-by-step explanation:
You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the is term n = 1.
b. What height will the ball be at the top of the sixth path?
1) A(n) = 1.5 • (0.74)^x-1; 0.33cm
2)A(n) = 0.74 • (1.5)^x-1; 5.62cm
3) A(n) = 150•(0.74)^x-1; 33.29cm
4) A(n) = 150 • (74) ^x-1; 332,850,993,600cm
Answer:
[tex](a)\ A(n) = 150 * (0.74)^{n-1[/tex]
[tex](b)\ A(6) = 33.29cm[/tex]
Step-by-step explanation:
Given
[tex]a = 1.5[/tex] --- initial
[tex]b = 74\%[/tex] --- rate
Solving (a): The rule of the sequence
First convert [tex]a = 1.5[/tex] to centimeters
[tex]a = 1.5 * 100[/tex]
[tex]a = 150[/tex]
The equation is then calculated using the following geometric progression formula
[tex]A(n) = ab^{n-1}[/tex]
This gives:
[tex]A(n) = 150 * (74\%)^{n-1}[/tex]
Express percentage as decimal
[tex]A(n) = 150 * (0.74)^{n-1[/tex]
Solving (b): The height on the 6th path
This implies that:
[tex]n = 6[/tex]
So, we have:
[tex]A(6) = 150 * (0.74)^{6-1[/tex]
[tex]A(6) = 150 * (0.74)^5[/tex]
[tex]A(6) = 150 * 0.222[/tex]
[tex]A(6) = 33.3cm[/tex]
High blood pressure has been identified as a risk factor for heart attacks and strokes. The National Health and Nutrition Examination Survey reported that the proportion of U.S. adults with high blood pressure is 0.3. A sample of 38 U.S. adults is chosen.
(a) Is it appropriate to use the normal approximation to find the probability that more than 40% of the people in the sample have high blood pressure. If so, find the probability. If not, explain why not.
B. A new sample of 80 adults is drawn. Find the probability that more than 40% of the people in this sample have high blood pressure.
C. Find the probability that the proportion of individuals in the sample of 80 who have high blood pressure is between 0.20 and 0.35.
D. Find the probability that less than 25% of the people in the sample of 80 have high blood pressure.
E. Would it be unusual if more than 45% of the individuals in the sample of 80 had high blood pressure?
Mai says that the equation 2x+2=x+1 has no solution because the left hand side is double the right hand side. Do you agree with Mai? Explain your reasoning.
Answer:
i do
Step-by-step explanation:
the equation would be no solution if the sides are equal numbers with the same slope and do not intersect. if you plug in a random number such as 7 for x you would get 16 = 8. always making the numbers parrallel
What are the zeros of this function (g)(x)=3x^2-33x-180
Answer:
3x²-33x-180=3(x²-11x-60)=3(x-15)(x+4)
The roots are x-15=0, x=15 and x+4=0, x=-4
What is 20% of $36
PLEASE HELP ME
Answer:
$7.20
Step-by-step explanation:
20% is the same as 0.2 or 2/10, which simplifies to 1/5.
1/5*36=36/5=7.20
Or you could straight up to 20%*36=7.20
Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?
A. 10 fl. oz.
B. 12 fl. oz.
C. 16 fl. oz.
D. 20 fl. oz.
Answer:
C. 16 fl. oz.
Step-by-step explanation:
hope this helps.
I need help pls hurrrryyyyyyyy
Answer: 48
Step-by-step explanation:
30-2 is 28 and 4 times 4 times 5 is 80 and 2 times 2 is 4 and 80 divided by 4 a 20 and 28 plus 29 is 48.
Check picture, 7th grade work.
please helppppp i will mark brianlisttt!!!
Answer:
37 degrees
Step-by-step explanation:
A triangle has to be 180 degrees so you do 53+90 (because it is a right triangle) equals 143
then do 180-143 to get your final angle of 37
Answer:
37 degrees
Step-by-step explanation:
The degrees of a triangle will add up to equal 180 degrees. A right angle will always be equal to 90 degrees.
Set up an equation:
Variable x = degrees of the acute angle
90 + 53 + x = 180
143 + x = 180
143 - 143 + x = 180 - 143
0 + x = 37
x = 37
You have 48 in a yellow ribbon and 64 inches of red ribbon you want to cut the ribbon into pieces of equal length with no leftovers what is the greatest length of pieces that you can make?
Answer:
16 inches
Step-by-step explanation:
To determine the answer, you have to find the greatest common factor (GCF) of 48 and 64. This is 16 because 16 x 3 = 48 and 16 x 4 = 64.
The diagram below shows a shaded parallelogram drawn inside a rectangle.
Answer:
A = 72
B = 9
C = 0
D = 54
Step-by-step explanation:
At an ice cream shop, there are 3 different flavors of ice cream and 10 different toppings. How many different outcomes are possible?
Answer:
30 or 1/30
Step-by-step explanation:
20 POINTS
Using mathematically precise language, explain in detail how you would multiply the complex number
z1=r1 (cos theta1+isin theta 1)
with the complex number
z2=r2 (cos theta 2+isin theta 2)
r-radius/radii
m-modulus/moduli
theta-argument represent angle theta
The product complex number is z1z2 = r1r2[cos (θ1+θ2) + isin (θ1+θ2)]
[tex]Z_1\times Z_2= r_1(cos \theta_1 + isin \theta_1) \times r_2(cos \theta_2 + isin \theta_2)[/tex]
r-radius/radii
m-modulus/moduli
theta-argument represent angle theta
[tex]= r_1r_2(cos \theta_1 + i sin \theta_1) (cos \theta_2 + isin \theta_2)[/tex]
[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 + i^2sin\theta_1sin\theta_2[/tex]
What is the value of i square in complex number?The value of i square is
[tex]i^2=-1[/tex]
Therefore,we get,
[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 + (-1)sin \theta_1 sin \theta_2)[/tex]
[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 - sin \theta_1 sin \theta_2)[/tex]
Since we know that,
[tex]cos(\theta_1+\theta_2)=cos\theta_1cos\theta_2-sin\theta_1sin\theta_2[/tex]
[tex]sin(\theta_1+\theta_2)=sin\theta_1cos\theta_2+cos\theta_1sin\theta_2[/tex]
So using above value we get,
[tex]= r_1r_2(cos \theta_1 cos \theta_2 - sin \theta_1 sin \theta_2) + i (cos \theta_1 sin \theta_2 + sin \theta_1 cos \theta_2)[/tex]
[tex]=r_1r_2cos(\theta_1+\theta_2)+isin(\theta_1+\theta_2)[/tex]
Therfore the product of the complex number is z1z2 = r1r2[cos (θ1+θ2) + isin (θ1+θ2)].
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Find all of the solutions for the following equation. 2 sin q + 1 = 0
https://socratic.org/questions/how-do-you-solve-2sinx-1-0#270365
The cereal box below is being cut at the edges. Choose the net below that could be created from the box.
Help me out please with domain and range and the last question please (algebra 2) no links please I will report
Answer:
domain = ( -infinity, infinity) = all real numbers
range = ( -1, infinity)
order these numbers from least to greatest: -5.2, -5, 5.5, -5 1/2, -5/2
Answer: -5.2, -5 1/2, -5, -5/2, 5.5
Step-by-step explanation:
The double number line shows that in 2 minutes, Pogo the dog can fetch a frisbee 6 times.
0
Time
{
(minutes)
2
+
+
+
Fetches
0
6
Based on the ratio shown in the double number line, how many times will Pogo fetch the frisbee in 4
minutes?
times
Do 4 problems 0000
Answer: try mat way
Step-by-step explanation:
i really need help with this one please
Answer:
b
kakzakzkakzkzkLaaoakakak
Answer:
B. a = 6, b = 3, c = 5Step-by-step explanation:
[tex]\frac{1}{6} : \frac{5}{3} =[/tex] [tex]\frac{1}{6} * \frac{3}{5}[/tex][tex]\frac{1}{6} : \frac{5}{3} = \frac{1}{a} * \frac{b}{c}[/tex]Comparing, we see that:
a = 6, b = 3, c = 5Correct choice is B
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answer:
109.75
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 8.5*6=51
rec 2: (9.5-5)*(13.5-5-6)=11.25
rec 3:5*9.5=47.5
Then:
51+11.25+47.5=109.75
what is 50% off 4
What percent 20 of 15 is
Answer:
$2 and 75%????
Step-by-step explanation:
I'm not 100% sure but I think thats right
A real-estate agent conducted an experiment to test the
effect of selling a staged home vs. selling an empty
home. To do so, the agent obtained a list of 10
comparable homes just listed for sale that were currently
empty. He randomly assigned 5 of the homes to be
"staged," meaning they were filled with nice furniture and
decorated. The owners of the 5 homes all agreed to
have their homes staged by professional decorators.
The other 5 homes remained empty. The hypothesis is
that empty homes are not as appealing to buyers as
staged homes and therefore, sell for lower prices than
staged homes. The mean selling price of the 5 empty
homes was $150,000 with a standard deviation of
$22,000. The mean selling price of the 5 staged homes
was $175,000 with a standard deviation of 35,000. A
dotplot of each sample shows no strong skewness and
no outliers.
Answer: t-test for a difference in means
Step-by-step explanation:
edg 2021
The name of the appropriate inference procedure is a t-test for a difference in means.
What is a t-test?A t-test can be defined as a type of inferential statistic which is typically used to compare and show a significant difference between the means of two (2) groups that are drawn from a normally distributed data set (population).
This ultimately implies that, the name of the appropriate inference procedure to conduct a hypothesis test in this scenario is a t-test for a difference in means.
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Using the identity sin²theta + cos²theta = 1, find the value of tan , to the nearest hundredth, if cos theta = 0.57 and 0 < theta <
π/2
Answer:
tan*=sin*/cos*
sin*=1-(0.57)^2
sin*=0.6751
tan*=0.57/0.6751
=0.844
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Kevin has two bags. Bag 1 weighs 125 pounds and Bag 2 weighs 97 pounds. How many pounds should Kevin add to Bag 2 so that both bags weigh the same?
A. 28
B. 32
C. 36
D. 42
Answer:
A) 28
Step-by-step explanation:
x + 97 = 125
x = 28