Answer:
x ≤ 7.25
Step-by-step explanation:
1) [tex]3x + 4.5[/tex] ≤ [tex]5(x - 2)[/tex]
Distribute 5 through the parenthesis.
2) [tex]3x + 4.5[/tex] ≤ [tex]5x - 10[/tex]
Move the variable to the left side and change it's sign.
3) [tex]3x + 4.5 - 5x[/tex] ≤ [tex]- 10[/tex]
Move the constant to the right side and change it's sign.
4) [tex]3x - 5x[/tex] ≤ [tex]- 10- 4.5[/tex]
Subtract the like terms.
5) [tex]-2x[/tex] ≤ [tex]-14.5[/tex]
Divide both sides of the inequality by -2.
6) [tex]x[/tex] ≤ [tex]7.25[/tex]
The amount of time (in minutes per day) spent on social media for a sample of 10 teens has a mean of 186.7 and a sample standard deviation of 19.99. An independent sample of 8 older adults has a mean of 93.5 minutes with a sample standard deviation of 32.01. Assume that the time spent on social media is approximately normally distributed for each group. a) Determine the value of the test statistic to test H subscript 0 colon space mu subscript t e e n end subscript equals mu subscript o l d e r end subscript against H subscript A colon space mu subscript t e e n end subscript not equal to mu subscript o l d e r end subscript. b) Determine the p-value or critical value for this test at alpha equals 0.05. c) What is your conclusion about whether the two age groups spend the same average amount of time on social media
PLZHELPON TIMER WILLGIVE BRAINLIEST FORRIGHTANSWER QUESTION IS NOT THAT HARD I THINK
What is the median of the values in the dot plot?
Enter your answer in the box.
Answer:
The median would be 5
Step-by-step explanation:
You could slash out the dots to get 5.
Answer:
5
Step-by-step explanation:
anyone know who Howard is ?
Answer:
Howard stark or Howard the duck?
HELP ME PLEASEEEEEEEEEE
Answer:
I Can Help!
Step-by-step explanation:
The First Option and The Second to Last
Helppp plzz will mark brainleast
What is its domain?
What is its range?
Write the answer in interval notation.
Answers:
Domain = [-3, 3]
Range = [-1, 2]
=============================================
Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that [tex]-3 \le x \le 3[/tex] meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
------------
The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is [tex]-1 \le y \le 2[/tex] which converts to the interval notation of [-1, 2]
Explain why someone would use scientific notation to write a number rather than standard notation.
Answer:
the extra big numbers can be written easily by the scientific notation
Answer:
Scientific Notation was developed in order to easily represent numbers that are either very large or very small.
Step-by-step explanation:
If 8 men can frit finish a piece of
work in 6 days, in how many days
could 12 men finish the samework?
Answer:
9
Step-by-step explanation:
12/8=1.5
1.5*6=9
plzzz i’ll give brainliest
Answer:
5.83
Step-by-step explanation:
Using Pythagoras Theorem,
[tex] \sqrt{ {5}^{2} + {3}^{2} } [/tex]
[tex] = \sqrt{34} [/tex]
[tex] = 5.83095...[/tex]
= 5.83 units (rounded to the nearest hundredth) +
Can I get some help on this can’t find any of the answers anywhere
Answer:
3(9)+20=47
Step-by-step explanation:
47 inches after 9 weeks
What is the arc measure of major arc ABC in degrees?
Answer:
123847323247647525547824817703412
Helpppp THIS IS TIMED NO LINKS OR I WILL Report YOU I will mark brainliest
Answer:
416
Step-by-step explanation:
Answer: 416 cm^2
Step-by-step explanation:
38+14/2 (16)
Calculate the area of this triangle
Answer:
60 cm^2
Step-by-step explanation:
Answer:
Area = 60
Step-by-step explanation:
Formula: bh/2
15*8/2
120/2
= 60
Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table.
No car or one car Two or more cars
Homeowner
25
90
Not a homeowner
45
90
(a) what percentage of the families are homeowners?
(b) What percentage of the familles have two or more cars?
х
S
?
(b) 1%
Explanation
Check
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Answer:
A = 46%
B = 72%
Step-by-step explanation:
Use linear regression to find a
function that fits the following
points.
(0,5), (2,-13)
Answer:
Function that fits the points [tex](0,5),\,(2,-13)[/tex] is given by [tex]x+9y=45[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)=(0,5),\,(x_2,y_2)=(2,-13)[/tex]
Slope of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given by [tex]m=\frac{x_2-x_1}{y_2-y_1}[/tex]
[tex]=\frac{2-0}{-13-5}[/tex]
[tex]=\frac{2}{-18}[/tex]
[tex]=\frac{-1}{9}[/tex]
Equation of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given as follows:
[tex]y-y_1=m (x-x_1)[/tex]
[tex]y-5=\frac{-1}{9}(x-0)\\y-5=\frac{-1}{9}x\\9(y-5)=-x\\9y-45=-x\\x+9y=45[/tex]
Nichole collected data from the basil plant in her garden. She recorded the day (x) and how much the plant had grow (y) in centimeters, on the graph
Answer:
The answer is B. Nichole's basil plant started at 1 cm and grew 3 cm each day.
The equation is y = 3x +1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Nichole's basil plant started at 1 cm and grew 3 cm each day.
The equation is y = 3x +1
PLEASE FAST IF YOU DO THANK You SO MUCH
Answer:
Prism surface area: 1,271cm
Base area: 66cm
Lateral: 1,139cm
An insurance company classifies drivers as low risk, medium risk, high risk. Of those insured, 60% are low-risk, 30% are medium-risk, and 10% are high risk. After a study, the company finds that during a1-year period, 1% of the low risk drivers had an accident, 5% of the medium risk drivers had an accident, and 9% of the high-risk drivers had an accident.
Required:
a. If a driver had an accident during the year, find the probability that the driver is selected as a medium-risk driver.
b. If a driver who had an accident during the I-year period is selected, what is the probability that he has been classified as high-risk?
c. If two drivers who had an accident during the I -year period are selected, what is the probability that at least one of them has been classified as high-risk?
Answer:
a. 0.5 = 50% probability that the driver is selected as a medium-risk driver.
b. 0.3 = 30% probability that he has been classified as high-risk
c. 0.51 = 51% probability that at least one of them has been classified as high-risk.
Step-by-step explanation:
To solve this question, we need to understand conditional probability, for items a and b, and the binomial distribution, for item c.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. If a driver had an accident during the year, find the probability that the driver is selected as a medium-risk driver.
Event A: Had an accident
Event B: Medium-risk driver
Probability of having an accident:
0.01 of 0.6(low risk)
0.05 of 0.3(medium risk)
0.09 of 0.1(high risk)
So
[tex]P(A) = 0.01*0.6 + 0.05*0.3 + 0.09*0.1 = 0.03[/tex]
Probability of having an accident and being a medium risk driver:
0.05 of 0.3. So
[tex]P(A \cap B) = 0.05*0.3 = 0.015[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.03} = 0.5[/tex]
0.5 = 50% probability that the driver is selected as a medium-risk driver.
b. If a driver who had an accident during the I-year period is selected, what is the probability that he has been classified as high-risk?
Event A: Had an accident
Event B: High risk driver.
From the previous item, we already know that P(A) = 0.03.
Probability of having an accident and being a high risk driver is 0.09 of 0.1. So
[tex]P(A \cap B) = 0.1*0.09 = 0.009[/tex]
The probability is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.03} = 0.3[/tex]
0.3 = 30% probability that he has been classified as high-risk
c. If two drivers who had an accident during the I -year period are selected, what is the probability that at least one of them has been classified as high-risk?
0.3 are classified as high risk, which means that [tex]p = 0.3[/tex]
Two accidents mean that [tex]n = 2[/tex]
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.3)^{0}.(0.7)^{2} = 0.49[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.49 = 0.51[/tex]
0.51 = 51% probability that at least one of them has been classified as high-risk.
A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.
What is the length of the other leg?
Round to the nearest tenth.
-----------------------------------------
7.0 cm
14.7 cm
22.5 cm
217.0 cm
Answer:
14.7 cm
Step-by-step explanation:
Using Pythagoras Theorem,
The length of the other leg
[tex] = \sqrt{ {19}^{2} - {12}^{2} } [/tex]
[tex] = \sqrt{217} [/tex]
[tex] = 14.730919...[/tex]
= 14.7 cm (rounded to the nearest tenth)
Need answers ASAP please
Answer:
angle classification is acute
side classification is equilateral
Step-by-step explanation:
Please answer ALL and if you do i will give brainliest. URGENT
Answer:
16: 5.934 radians
17: 300 degrees
18: 4.188 radians
19: 130 degrees
Convert the following functions.
(a) Convert the exponential function, 16^8= (x^2)(y^5)(z^3)to its corresponding logarithmic function.
(b) Write the log form from Part A into the expanded log form, expression must be fully expanded
Please answer quickly! I’m giving 45 points to who ever can answer this correctly and I will crown the person the brainliest
Answer:
32 = 2 log₂ x + 5 log₂ y + 3 log₂ zStep-by-step explanation:
16⁸= x²y⁵z³(2⁴)⁸ = x²y⁵z³2³² = x²y⁵z³log₂ 2³² = log₂ x²y⁵z³32 = log₂ x² + log₂ y⁵ + log₂ z³32 = 2 log₂ x + 5 log₂ y + 3 log₂ zThe area of a rectangle is 33ft^2. The length is 8 feet more than the width. What are the dimensions of the rectangle?
Answer:
[tex]length = (8 + x) \: feet\\ width = x \: feet \\ area = length \times width \\ 33 = (8 + x)x \\ 33 = 8x + {x}^{2} \\ {x}^{2} + 8x - 33 = 0 \\ (x - 3)(x + 11) = 0 \\ (x + 11) \: is \: neglected \: since \: it \: is \: negative \\ therefore : x = 3 \\ dimensions \\ length = (8 + 3) = 11 \: feet \\ width = 3 \: feet[/tex]
A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 10 of merlot, and 12 of cabernet, all from different wineries. He will serve five bottles of the wines during dinner in a particular order,
(a) How many distinct sequences are there of serving any five wines?
(b) If the first two wines have to be zinfandel and the last three must either be merlot or cabernet, how many ways can this be done?
(c) If the wine sequence is formed randomly, what is the probability that none of the wines served is a zinfandel?
Answer:
Step-by-step explanation:
From the given information:
The total number of wine = 9 + 10 + 12 = 31
(1)
The number of distinct sequences used for serving any five wines can be estimated by using the permutation of the number of total wines with the number of wines served.
i.e
= [tex]^{31}P_5[/tex]
[tex]=\dfrac{31!}{(31-5)!}[/tex]
[tex]=\dfrac{31!}{(26)!}[/tex]
[tex]=\dfrac{31\times 30\times 29\times 28\times 27\times 26!}{(26)!}[/tex]
= 20389320
(2)
If the first two wines served = zinfandel and the last three is either merlot or cabernet;
Then, the no of ways we can achieve this is:
= [tex]^9P_2\times ^{22}P_3[/tex]
[tex]= \dfrac{9!}{(9-2)!}\times \dfrac{22!}{(22-3)!}[/tex]
[tex]= \dfrac{9!}{(7)!}\times \dfrac{22!}{(19)!}[/tex]
[tex]= \dfrac{9*8*7!}{(7)!}\times \dfrac{22*21*20*19!}{(19)!}[/tex]
= 665280
(3)
The probability that no zinfandel is served is computed as follows:
Total wines (with zinfandel exclusion) = 31 - 9 = 22
Now;
the required probability is:
[tex]= \dfrac{^{22}P_5 }{^{31}P_5}[/tex]
[tex]= \dfrac{\dfrac{22!}{(22-5)!} } {\dfrac{31!}{(31-5)!} }[/tex]
[tex]= \dfrac{\dfrac{22!}{17!} } {\dfrac{31!}{(26)! }}[/tex]
[tex]= \dfrac{(\dfrac{22*21*20*19*18*17!}{17!})} {(\dfrac{31*30*29*28*27*26!}{(26)! })}[/tex]
= 0.1549
≅ 0.155
What is the sales tax
On a camera priced at $110 if the sales tax rate is 6.1%
WILL GIVE BRAINKISR
X
X
X
Answer:
The sales tax would be $6.71 :)
Step-by-step explanation:
110 x 0.061 = 6.71
116.71
Step-by-step explanation:
if the tax rate is 6.1 that wiild equal 6.71 then you would add 6.71 to 110 which the answer would be 116.71
1.
Isha wants to paint her attic. It takes 1 gallon of paint to paint 1 square foot of the surface. How many gallons of paint does Isha need to paint the wa
in the attic shown below?
8 feet
15 feet
5 feet
6 feet
Answer:
8
Step-by-step explanation:
The product (x + 5)(x - 1)(x + 2) is equal to:
Step-by-step explanation:
(x²-x+5x-5)(x+2)
(x²+4x-5)(x+2)
x³+2x²+4x²+8x-5x-10
x³+6x²+3x-10
How much bigger is 5/7 than 2/3 ?
Let's find common denominator first,
5/7= 15/21
2/3= 14/21
now substract them; 15/21 - 14/21 = 1/21
Hence 5/7 is 1/21 bigger than 2/3!
Find the area of the following parallelogram.
Soln,
Area of Parallelogram= B.H
= 6.14
=84 https://tex.z-dn.net/?f=in%5E%7B2%7D%20
PLS HELP ASAP (20 points)
A group of friends are going to a local pizzeria. One medium pizza costs $12.50. The friends spent less than $55. They purchased two pitchers of soda for a total of $8.99. How many medium pizzas could the group purchase? Write and solve an inequality. Show your work.
Answer:
whats the answer? And equation?
Step-by-step explanation: