Answer:
A) P(T) = 30/120 = 1/4
B) P(T) = 50
Step-by-step explanation:
A) P(T) = 30/120 = 1/4
B) P(T) = 1/4 of 200 which is 50
a. Probability that the coin shows tails is [tex]\frac{1}{4}[/tex].
b. 50 number of times the coin shows tails.
What is probability?Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
Probability = [tex]\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]
According to the question
a. John throws a biased coin 120 times. It shows heads 90 times.
Probability formula:
Probability = [tex]\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]
Probability that the coin shows heads = [tex]\frac{90}{120}[/tex] = [tex]\frac{3}{4}[/tex]
Probability that the coin shows tails = 1 - [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]
b. Carly throws the same coin 200 times.
From a, we know the probability that the coin shows tails is [tex]\frac{1}{4}[/tex].
Number of times the coin shows tails = 200 × [tex]\frac{1}{4}[/tex] = 50
Find out more information about probability here
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The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store and the number of units of that product sold. To experiment the management selected a product and promoted it on the intercom system for seven days. The following table gives the number of times this product was promoted each day and the number of units sold.
Number of Promotions per Day Number of Units Sold per Day (hundreds)
15 11
22 22
42 30
30 26
18 17
12 15
38 23
a) With the number of promotions as an independent variable and the number of units sold as the dependent variable determine the least squares regression line. Give the equation of the line.
b) Compute r and r2. Explain their meaning.
c) Predict the number of units of this product sold on a day with 35 promotions.
d) Construct a 98% confidence interval for \beta .
e) Test at the 1% significant level that \beta is \beta \neq 0.
Answer:
15 11
Step-by-step explanation:
A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and the
receipts were $3360, how many cats were sold?
Answer:
x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.
Step-by-step explanation:
hope it helps :)
The circumference of a circle can be found using the c = 2πr Find the circumference of a circle with a diaper of 4 ft
Answer:
12.57
Step-by-step explanation:
2 π r d= 2 r
Solving for C
C= d = π 4 ≈12.56637
30 points Someone help im very confused.
Which trigonometric function has a range that does not include a zero?
y=cosx
y=cotx
y=tanx
y=secx
Answer:
y=cotx
Step-by-step explanation:
9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long
What function models the height of the building?
How high is the building if 0 = 38°
(pic included) pls help me
Answer:
A. tan 38° = opposite/adjacent
opposite = (tan 38°)(adjacent)
opposite = (0.31)(17 ft)
opposite = 5.27 ft
B. height is = 5.27 ft
The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet
ModelA mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.
How to find the model?(A) Give the building and is shadow is 17 feet and make θ.
then the relation is tanθ =y/17
So y = 17 tanθ
(B) If the is angle is 38°
then
tan38° =y/17
0.7813 = y/17
y = 13.28 feet
Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.
Learn more about the model here- brainly.com/question/24448358
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KAJSKSKSKWKWKSKSKSKSKSKSKSKSKR
Answer:
ok
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 6.4
Step-by-step explanation:
Simplify the following and express your answers in positive exponent form:
Qii)
one over y squared multiply by t squared
Triangle ABC has vertices A(1, 3), B(–2, –1) and C(3, –2). What are the coordinates of the triangle after the reflection over the line x = y?
Answer:
a(3,1)
b(-1,-2)
c(-2,3)
Step-by-step explanation:
the area of the parallelogram is 105 cm2. what is the base of the parallelogram?
Answer:
15 cm
Step-by-step explanation:
Since the area of a parallelogram is b * h = a,
105 = 7b
b = 105/7 = 15 cm
D What is the constant rate of change shown in the graph below?
2
3
0.5
1
Answer: 3
Step-by-step explanation:
NEED HELP‼️‼️ 20 points‼️
Find the measurement of the angle indicated for each trapezoid.
Answer:
Simple it would be 76x - 1 whatever that is, and 72x + 3 which u shuld get like uh 75x, and 75x again on both so its 75x
PLEASE DONT QUOTE ME ON THIS
Xoxo~May
Step-by-step explanation:
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answer:
Step-by-step explanation:
B?
Is this triangle acute, right, or obtuse?
NEED HELP WITH THIS!!!!!! 50 points!!!!!!
A. Acute
B. Right
C. Obtuse
Answer:
acute
hope this helps
have a good day :)
Step-by-step explanation:
A plumber charges of fee of $75 to make a house call. He also charges $50 per hour for labor.
1. Write an equation that represents the plumber's charges. Let x represent the number of hours for labor an dy the total cost.
2. Use equations from part one to predict the cost of hiring the plumber for a 5-hour long repair.
Answer:
For part 1- y=50x+75 For part 2- y=325
Step-by-step explanation:
the cost is increasing 50 for every hour
there is a flat rate of 75 to answer a house call
y=50x+75
y=50(5)+75
y=250+75
y=325
Find the value of x
Please help...no links please
Answer:
x=1
Step-by-step explanation:
(7x-1)+(2x-1)=7
7x+2x-1-1=7
7x+2x=7+1+1
9x=9
9x/9 = 9/9
x=1
factor the expression 8q^6r^3+27s^6t^3
Answer:
(2q^2r+3s^2t)(4q^4r^2-6q^rs^2t+9s^4t^2)
Step-by-step explanation:
app said so... 0_0
A dog rolls over 25 times in 2 minutes. How many times can the dog roll over in 6 minutes
Answer:
75
Step-by-step explanation:
Count By Two's
25=2 minutes
50=4 minutes
75=6 minutes
Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.
Answer:
4% of the tested population scored higher than Randy on the test
Step-by-step explanation:
P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%
Therefore, about 4% of the tested population scored higher than Randy on the test.
Very sleepy plz help, been doing these all day... question in photo
Answer:
20 40 and 90 are correct
Step-by-step explanation:
A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.
Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.
Answer:
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.
The upper end of the interval is the sample mean added to M. So it is S + 1.53.
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Determine the equation of the circle graphed below
Answer:
(x + 3)² + (y - 4)² = 32
Step-by-step explanation:
Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.
r = √((1 - (-3))² + (8 - 4)²)
r = √(16 + 16)
r = √32
Now, formula for equation of a circle with centre (h, k) is;
(x - h)² + (y - k)² = r²
Our centre is (-3, 4) with r = √32
Thus;
(x - (-3))² + (y - 4)² = (√32)²
(x + 3)² + (y - 4)² = 32
   !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the input value for the following function if the output value is nine? Y=x+8.
Image above
Answer:
x = 1
Step-by-step explanation:
y = x + 8
Output value = 9, means y = 9.
9 = x + 8
x + 8 = 9
Subtract 8 from both sides.
x = 1.
9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?
Answer:
1.05
Step-by-step explanation:
Answer: $1.05
Step-by-step explanation:
I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.
Hope This Helps!
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²
Evaluate the expression when b= 14 and c=6.
Answer:
14-6 = 8
14+6 = 20
14 x 2 = 28
14/2 = 7
2/14 = 1/7 = 0.14285714285
14^2 + 6 = 196 + 6 = 202
and so on..
Step-by-step explanation:
Find the base of a parallelogram with height 11.8 millimeters and an area of 151.04 square millimeters.
Answer:
12.8
Step-by-step explanation:
Solve for x: 4x-8+34+76-x = 180
NO LINKS PLSSS
Answer:
x=26
Step-by-step explanation:
first add the numbers
4x-8+34+76-x=180
4x+102-x=108
Then combine like terms
4x+102-x=180
3x+102=180
Subtract 102 from both sides of the equation
3x+102=108
3x+102-102=108-102
Simplify
3x=78
Divide both sides of the equation by the same term
3x=78
3x/3=78/3
simplify
cancel terms that are in both the numerator and denominator, divide the numbers
Solution
X=26
Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)
Answer:
Coordinates of point R = (6,5)
Step-by-step explanation:
Given;
Point A(2 , 1)
Q(-4 , -5)
m1:m2 = 3 : 2
Find:
Coordinates of point R
Computation:
X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)
2 = [(3)(x2) + (2)(-4)] / (3 + 2)
2 = [3x2 - 8] / (5)
10 = [3x2 - 8]
3x2 = 18
x2 = 6
Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)
1 = [(3)(y2) + (2)(-5)] / (3 + 2)
1 = [3x2 - 10] / (5)
5 = [3x2 - 10]
3y2 = 15
y2 = 5
Coordinates of point R = (6,5)
Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?