Answer:
when f=3.5, f(x) = 1.2
Step-by-step explanation:
[4(3.5) -2] / 10 = 12/10 = 1.2
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Learn more about expressions here:
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Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?
PLEASE HELP! 10 POINTS.
2x+30=-50
2x=-50-30
2x=-80
x=-80/2
x= - 40Answer:
-40
Step-by-step explanation:
cuz 2 times -40=-80 and -80+30 equals -50
Solve for f(-3)
f(x)=5-x
f(-3)= ?
pls helpppp
PLEASEEEEE HELPPPPP!!!!!!
Answer:
RS=5.65
Step-by-step explanation:
Please gimme few minutes
ext year, my age will be 125% more than it was when I got married. I got married when I was 24. How old will I be next year?
Answer:
54
Step-by-step explanation:
you could either add 125% and 24 to get 54
or you can figure out that 125% of 24 is 30 and add 24 and 30 together to get 54
pls pls pls help!!!!!!
9514 1404 393
Answer:
ornament area = 379.8 cm²paint needed: 114 bottlesStep-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
__
If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
PLEASE HELP ASAPPP!!!!
Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong
Step-by-step explanation:
Answer:
2.4 cm
Step-by-step explanation:
Since that they are similar, what you can do is:
3.0/1.2 = 2.5
1.2 * 2.5 = 3.0
0.96 * 2.5 = 2.4 cm
What is the value of this expression?
9514 1404 393
Answer:
2
Step-by-step explanation:
I find it convenient to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
__
log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)
= 3 -1 = 2
The value of the expression is 2.
__
Some calculators can compute this for you directly.
Minnie shovels driveways to earn money. She can shovel 6 driveways in 4 hours. She earns $19.00 for each driveway. Minnie is saving up to buy a new phone that costs $1 567.50. How many hours does Minnie need to work to earn enough money to purchase the phone? s incorrect. Change your answer and try again! 2 3 4 5 6 7 00
9514 1404 393
Answer:
55 hours
Step-by-step explanation:
The number of hours will be ...
($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)
= (1567.50×4)/(19×6) h = 55 h
Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.
Answer:
about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!
Step-by-step explanation:
What we know:
6 driveways in 4 hours
$19 per driveway
needs $1,567.50
first, find amount of hours for one drive way by setting up a proportion.
6/4 =1/x
x= about 0.67 hours, or about 40.2 minutes.
now think: how many driveways does it take to make 1,567.50?
1,567.50/19= 82.5
This means it will take her 83 driveways to earn all of her money.
The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5
Divide by 60 to convert to hours.
Answer: 55.275
1) Red City is 6 cm away from Blue City on a map but the two cities are actually 240 miles
apart in real. What is the scale on the map?
65 is what percent of 120?
(round to the nearest percent)
Answer:Lets say 60 is rounded to 60. So 60 is half of 120 , which means that the answer is a little bit more than 50% since 50x2=100%
So 50 plus the 5 we took away from the 60 in the beginning is 55%
I think your answer is 55%
Step-by-step explanation:
Your answer is 55%
The percentage of 65 out of 120 will be 54.167%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The whole numbers are 65 and 120.
Then the percentage is written as,
P = (65 / 120) x 100
P = 0.54167 x 100
P = 54.167%
The percentage of 65 out of 120 will be 54.167%.
More about the percentage link is given below.
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what is the lateral area of the cone? 10 yd and 12.1 yd
Answer:
The lateral area will be "381 yd²". A further solution is provided below.
Step-by-step explanation:
The given values are:
Radius of cone,
r = 10 yd
Height of cone,
L = 12.1 yd
As we know,
The lateral surface area of cone is:
= [tex]\pi r L[/tex]
On substituting the values, we get
= [tex]\frac{22}{7}\times 10\times 12.1[/tex]
= [tex]\frac{22}{7}\times 121[/tex]
= [tex]380.28 \ yd^2[/tex]
0r,
= [tex]381 \ yd^2[/tex]
A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?
Answer:
24.58%
Step-by-step explanation:
Given that,
Initial cost = $240
Final cost = $299
We need to find the percentage in his profit of the cost price.
Profit = Final cost - Initial cost
= $299 - $240
= $59
Percentage,
[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]
So, the required percentage is equal to 24.58%.
If gas costs $2.19 per gallon, how many whole gallons of gas could you buy with $17.00? (Make sure to answer with a whole number.)
With $17.00, you can buy approximately 8 whole gallons of gas.
To calculate the number of whole gallons of gas that can be bought with $17.00, we need to divide the total amount of money by the cost per gallon.
Given that the cost of gas is $2.19 per gallon, we can set up the following equation:
Number of gallons = Total money / Cost per gallon
Substituting the values into the equation, we have:
Number of gallons = $17.00 / $2.19
Performing the division, we get:
Number of gallons ≈ 7.7625570776255707762557077626
Since we are asked to provide a whole number, we round the decimal to the nearest whole number:
Number of gallons ≈ 8
It's important to note that this calculation assumes that the cost per gallon remains constant, and any taxes or additional fees are not taken into account. Additionally, the actual number of gallons that can be purchased may vary depending on the specific pricing and location.
For more such questions on gallons
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Name the five edges that are not parallel
to AB and do not intersect AB.
A. KM, KD, KP, DP, MD
B. KM, KP, KD, MA, MD
с, MA, BP, DP, KP, BA
D. MK,DK, PK, DP, AM
2, 1, 1/2, 1/4 which number should come next
Can someone help me with this question?
Answer:
D
Step-by-step explanation:
2 x 2 = 4 x PI = 12.56
f(x) = 3x – 5
g(x) = –6x2 + 6x + 2
Find: f(x) · g(x)
Answer:
f(x) = 3x - 5
g(x) = 6x^2 + 2x
Find: g(f(x))
method: for each x in g, substitute (3x-5)
g[f(x)]=6(3x-5)^2+2(3x-5)
=6(9x^2-30x+25)+6x-10
=54x^2-180x+150+6x-10
Step-by-step explanation:
if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term
Answer:
First three terms: -2, 1, 6
Tenth term: 97
Step-by-step explanation:
Given
[tex]T_n =n^2 -3[/tex]
Required
The first three terms and the tenth
So, we have:
First term: n =1
[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]
Second term: n = 2
[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]
Third term: n = 3
[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]
Tenth term: n = 10
[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]
You want to estimate the mean hourly yield for a process that manufactures an antibiotic. You observe the process for 100 hourly periods chosen at random, with the results of 32 ounces per hour and a standard deviation of 7 ounces. Calculate the 95% margin of error (in ounces per hour). (Round your answers to three decimal places.)
Answer:
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Then
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.9842\frac{7}{\sqrt{100}}[/tex]
[tex]M = 1.389[/tex]
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
blank minus 1/2 equals to 1/6
Answer:
Blank = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
blank = x
[tex]x-\frac{1}{2} =\frac{1}{6} \\\\x=\frac{1}{6} +\frac{1}{2} \\\\x=\frac{1}{6} +\frac{3}{6} \\\\x=\frac{4}{6} \\\\x=\frac{2}{3}[/tex]
HELP PLSS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
you walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 20% of what is the final price that you pay for the pants?
Answer:
The final cost of the pants is $ 12.
Step-by-step explanation:
Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:
100 - 20 = 80
(60 - (60 x 0.75)) x 0.80 = X
(60 - 45) x 0.80 = X
15 x 0.80 = X
12 = X
Thus, the final cost of the pants is $ 12.
Suppose a geyser has a mean time between eruptions of 83 minutes let the interval of time between the eruptions be normally distributed with the standard deviation 33 minutes what is the probability that a randomly selected time interval between eruptions is longer than 97 minutes
Answer:
0.336
Step-by-step explanation:
Here the mean is 83 min and the standard deviation is 33 minutes. Note that
1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes. So 97 minutes is above the mean and below 1 standard deviation above the mean.
What is the probability that the interval is BELOW 97 minutes? If we find this, subtracting it from 1.000 results in the desired probability.
Using the Distribution key on my TI 83 Plus calculator, I get:
normalcdf(-100,97, 83,33) = 0.664.
Subtracting this from 1.000 results in 0.336.
Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.
pls help i dont have much time
ILL GIVE BRAINLIEST TO WHOEVERS ANSWER IS RIGHT
THE ANSWER IS WORTH 100 POINTS
Answer:
HI! MARK ME BRAINLIEST!
Step-by-step explanation:
Your answer will be 25! Just think of it! You'll get it
A shipping company charges an oversize package fee if the sum of the
dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?
Answer: Length = 40 inches
Width = 20 inches
Step-by-step explanation:
Let the width of the package be represented by x.
Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x
Since the sum of the dimensions equals 60 inches. This will then be:
x + 2x = 60.
3x = 60
x = 60/3
x = 20
Therefore, the width = 20 inches
Length = 2x = 2 × 20 = 40 inches
The dimensions should be 40 by 20 inches.
find the probability. PLZ HELP
Answer:
Probability that [tex]-5 \leq x \leq 5[/tex] is 0.3
Step-by-step explanation:
From the table, we have that the probability is:
[tex]P(-5 \leq x \leq 5) = P(x = -5) + P(x = 0) + P(x = 5)[/tex]
With the values given
[tex]P(-5 \leq x \leq 5) = P(x = -5) + P(x = 0) + P(x = 5) = 0.15 + 0.05 + 0.1 = 0.3[/tex]
So
Probability that [tex]-5 \leq x \leq 5[/tex] is 0.3
Find the measures of the missing angles:
Answer:
m<1 = 70
m<2 = 110
m<3 = 82
Step-by-step explanation:
<1:
x + 75 + 35 = 180
x + 110 = 180
x = 70
<2:
<1 + x = 180
70 + x = 180
x = 110
<3:
The blank angle is 70 (b/c of 180 - 110) and vertical angles with <1
x + 70 + 28 = 180
x + 98 = 180
x = 82
Please hurry! Timed! What is the scale factor in the dilation?
A. 2/5
B. 1/2
C. 2
D. 2 1/2