Answer:
x=44
Step-by-step explanation:
Tools -
Question 10
Steven fosses a fair coin 100 times. The coin lands on heads 57 times and tails 43 times.
What is the probability and relative frequency of the coin landing on heads?
A
The probability is 50% and the relative frequency 43%
B
The probability is 50% and the relative frequency 57%
The probability is 43% and the relative frequency 50%.
D
The probability is 57% and the relative frequency 50%.
Answer: D
Step-by-step explanation:
The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%
The probability of the coin landing on headsThe sample space of a coin is:
S = {Head, Tail}
The sample size is:
n(S) = 2
The probability of the coin landing on heads is calculated as:
P(Head) = n(Head)/n(S)
So, we have:
P(Head) = 1/2
Express as percentage
P(Head) = 50%
Hence, the probability of the coin landing on heads is 50%
The relative frequency of the coin landing on headsFrom the question, we have:
Toss = 100
Head = 57
The relative frequency of the coin landing on heads is calculated as:
Frequency = 57/100
Express as percentage
Frequency = 57%
Hence, the relative frequency of the coin landing on heads is 57%
Read more about probability at:
https://brainly.com/question/251701
in the triangle shown determine a to the nearest degree
Answer:
43
Step-by-step explanation:
Cos A= 8/11
Cos A= 43.34
A=43.34
A plane descends 1000 ft while flying
2.7 mi. What is the angle of descent?
Answer:
4.02°
Step-by-step explanation:
The angle of descent can be obtained using trigonometry ;
Since we have a right angled triangle ;
Let's use the relation:
Sin θ = opposite / hypotenus
Hypotenus = 2.7 miles
1 mile = 5280 feets
2.7 miles = (2.7 * 5280) = 14256 feets
Sin θ = 1000 / 14256
Sin θ = 0.0701459
θ = sin^-1(0.0701459)
θ = 4.0223674
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 3% in interest and the other pays 6% in interest, how much does he have in each account if he earned a total of $960 in interest in 1 year?
He invested $__ in the 3% account and $__ in the 6% account.
Answer:
8000 and 12,000
Step-by-step explanation:
Let the amount of money deposited in the 3% account be known as "x"
The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)
3% Interest -> 0.03 *
6% Interest -> 0.06 *
0.03 * x + 0.06 * (20,000 - x) = 960
0.03x + 1200 - 0.06x = 960
-0.03x = -240
x = 8000
20,000 - x
20,000 - 8000 = 12000
For his long distance phone service, Tom pays an 8 monthly fee plus 6 cents per minute. Last month, Tom's long distance bill was $16.34. For how many minutes was Tom billed?
1. The perimeter of a square box is 12x+32. Write an equivalent expression that shows the perimeter as four times the side length of the box.
Answer:
4(3x+8)
Step-by-step explanation:
4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?
Answer:
Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.
can some help me plz I will give the brainlist
Answer:
A-0.125
B-15%
C- I think .15 would
Step-by-step explanation:
Sorry if i am incorrect
Answer:
A=.125
B=.14
Step-by-step explanation:
C=.15 would give him more candy.
The order is for 500 mL D5 1/2 NaCl to run in 6 hours. Set calibration is 15 gtt/mL calculate the flow rate in mL/hrs
Answer:
16 is correct
Step-by-step explanation:
A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?
Answer:
20pi or 62.83
Step-by-step explanation:
when r=4
pi r^2
16pi
when r=6
pi r^2
36pi
36pi-16pi=20pi or 62.83
A rectangular prism has a length of 12 inches, a height of 16 inches, and a with of 20 inches. What's the volume, in cubic inches
Answer:
3840in²
Step-by-step explanation:
Formula:
V = whl
Insert the values:
V = 20 * 16 * 12
Multiply the values:
V = 3840in²
Find the height of the cone plsss
Answer: the last one, 31.6
Answer:
the answer is about 31.6
Step-by-step explanation:
the formula for the height of a cone is 3(V/πr^2), so if you plug in the number, you'll get about 31.6.
Driving instructors Mr. Adams and Mr. Bateman teach class independently of each other. Among Mr. Adams’s students, 68% pass the driving test on the first try, while 74% of Mr. Bateman’s students pass the driving test on the first try. Suppose there are 40 students in Mr. Adams’s class and 50 students in Mr. Bateman’s class. Let A = the proportion of students who pass the driving test on the first try from Mr. Adams’s class and B = the proportion of students who pass the driving test on the first try from Mr. Bateman’s class. What is the probability that Mr. Bateman’s class has more students who pass on the first try?
Find the z-table here.
0.266
0.547
0.734
0.765
Answer:
0.989 = 98.9% probability that Mr. Bateman’s class has more students who pass on the first try
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the binomial approximation to the normal and subtraction of normal distributions.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Subtraction of normal distributions:
When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
Among Mr. Adams’s students, 68% pass the driving test on the first try. Sample of 40.
This means that [tex]p = 0.68, n = 40[/tex].
[tex]\mu_A = np = 40*0.64 = 27.2[/tex]
[tex]s_A = \sqrt{40*0.68*0.32} = 2.95[/tex]
74% of Mr. Bateman’s students pass the driving test on the first try. Sample of 50:
[tex]p = 0.74, n = 50[/tex]
[tex]\mu_B = np = 50*0.74 = 37[/tex]
[tex]s_B = \sqrt{50*0.74*0.26} = 3.1016[/tex]
What is the probability that Mr. Bateman’s class has more students who pass on the first try?
This is the probability that B - A is greater than 0.
Distribution B - A:
Mean:
[tex]\mu = \mu_B - \mu_A = 37 - 27.2 = 9.8[/tex]
Standard deviation:
[tex]\sigma = \sqrt{s_A^2 + s_B^2} = \sqrt{2.95^2 + 3.1016^2} = 4.28[/tex]
Probability of being larger than 0:
1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - 9.8}{4.28}[/tex]
[tex]Z = -2.29[/tex]
[tex]Z = -2.29[/tex] has a pvalue of 0.011
1 - 0.011 = 0.989
0.989 = 98.9% probability that Mr. Bateman’s class has more students who pass on the first try
Answer:
0.734, c
Step-by-step explanation:
pls I need assistance with this I promise brainiest
1. (-4)*(-3)*(+2)/(-6)*(-4)
2. -8*(-11)*9*(-5)/2*(-33)*(-3)
Answer:
1) 16
2) -196020
Step-by-step explanation:
simple answer using DMAS rule
D = Division
M = Multiplication
A = Addition
S = Subtraction
here's the question
I need help someone help me out!
[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]
[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]
Option = A is righta line is parallel to y=3x-2 and intersects the point (3,5)
The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The linear equation is given below.
y = 3x - 2
The equation of the line that is parallel to the line y = 3x - 2 will be given as,
y = 3x + c
The equation passes through (3, 5), then we have
5 = 3(3) + c
5 = 9 + c
c = - 4
Then the equation of the line will be y = 3x - 4.
More about the equation of a parallel line link is given below.
https://brainly.com/question/402319
#SPJ2
An artist makes triangular -shaped sculptures using steel long. There are several rods are 12,13,14,15 or 16 feet long .there are several rods of each length?
Answer:
You are having a stroke.
Step-by-step explanation:
1. Go to the hospital.
PLZ HELP
Which is the sum of 3.15 × 10^7 +9.3 × 10^6 ? Write your answer in
scientific notation.
A. 4.08 × 10^7
B. 4.08 × 10^6
C. 0.408 × 10^8
D. 40.8 × 10^6
Answer: A 4.08x10^7
Step-by-step explanation:
Expanded form: 40800000
Brainliest for correct answer, asap please.
Answer:
Not a function
Not a function
Function
Step-by-step explanation:
The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.
what is the greatest common factor (GCF) of the following monomials?
Answer:
2x is the greatest common factor.
Step-by-step explanation:
Looking for what they have in common and what is the highest number they can both go into.
1/4-1/20 in simplest form
Answer:
1/5
Step-by-step explanation:
Answer: 1/5
Step-by-step explanation:
which statement best describes the product of 240 and 1/3
the product is less than 99 the product is between 100 and 150 the product is between 200 and 250 the product is greater than 400
Answer:
Step-by-step explanation:
240 x 1/3 = 240/3 = 80
so the answer is: the product is less than 99
A video game system costs $350. The sales tax rate is 796, what
is the final cost
Your answer
Answer:
$377.86
Step-by-step explanation:
Given: Video game system costs $350, sales tax rate is 796.
To find: Final cost
Solve: Calculating Total Cost. Multiply the cost of an item or service by the sales tax to find out the total cost.
3.5 × 7.96 = 27.86
Add the total sales tax to the Item or service cost to get your total cost.
27.86 + 350 = 377.86
The final cost is $377.86
rectangle has area 80 square centimeters. the rectangle is dilated using A as a center and a scale factor of 1/2 what is the area of the image
9514 1404 393
Answer:
20 square centimeters
Step-by-step explanation:
The area of the dilated figure is the original area multiplied by the square of the dilation factor. The center of dilation is irrelevant.
dilated area = (1/2)² × original area
dilated area = 1/4 × 80 cm²
dilated area = 20 cm²
The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?
Answer:
223.50
Step-by-step explanation:
1490x .15 = 223.50
abus
Find the slope of the line shown in the graph below.
5
nts
4
2
1
-6-5-4
2
3
4
5
6
2
Section 1 - Question 3 Which expression would produce the greatest product? A 10 × 1/2 10 × 1/ 10 × 100 10 × 3 B C
Answer:
A: 10 x 1/2 = 15
Step-by-step explanation:
dfghj
Which expression is equivalent to 5c + 3c?
the correct Number is 8c
Find the perimeter and area of the polygon shown below.
P= 72 feet, A = 300 square feet
O P = 56 feet, A = 308 square feet
P= 87 feet, A = 360 square feet
P = 72 feet, A = 308 square feet
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²