Answer:
(a)
[tex]Small = 28[/tex]
[tex]Large = 42[/tex]
(b)
[tex]Ratio = 14 : 25[/tex]
Step-by-step explanation:
Given
[tex]L = Large\\ S = Small[/tex]
[tex]S : L = 2 : 3[/tex]
[tex]Total = 70[/tex]
Solving (a): Number of each set.
The small set is calculated as:
[tex]Small = \frac{S}{S + T} * Total[/tex]
[tex]Small = \frac{2}{2+3} * 70[/tex]
[tex]Small = \frac{2}{5} * 70[/tex]
[tex]Small = 0.4 * 70[/tex]
[tex]Small = 28[/tex]
Using complement rule.
[tex]Large = Total - Small[/tex]
[tex]Large = 70 - 28[/tex]
[tex]Large = 42[/tex]
Solving (b): Increase large by 8.
The ratio is then calculated as:
[tex]Ratio = Small : Large + 8[/tex]
[tex]Ratio = 28 : 42 + 8[/tex]
[tex]Ratio = 28 : 50[/tex]
Divide by 2
[tex]Ratio = 14 : 25[/tex]
pls help and explain why and i’ll give brainly
Answer:
No.
Step-by-step explanation:
The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.
If this truly helps you, help me out too, and thank me.
-Xax
Answer:
No
Step-by-step explanation:
A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:
-4 points to both 12 and 15 which isn't possible for a function
The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
Answer:
250 girls
Step-by-step explanation:
Boys = Girls
250 = Girls
What are the next 4 multiples of 4/8 in a fraction
Answer:
8/16, 12/24, 16/32, and 20/45
Step-by-step explanation:
In this combined function, the domain is all real numbers for x except? (x+6) / (x-9)
-6
6
9
-9
Which 2 triangles are similar
Answer:
Triangle A and B
Step-by-step explanation:
The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.
Please help I’ll mark you as brainliest if correct
Answer:
The answer you clicked is correct.
Step-by-step explanation:
1 teacher = 25 scholars.
I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY!What is the shape of the distribution shown below?
Choose 1 answer:
(Choice A)
The distribution is left-tailed.
(Choice B)
The distribution is approximately symmetrical.
(Choice C)
The distribution is right-tailed.
Answer:
pretty sure it's B!
Step-by-step explanation:
B the distribution is approximately symmetrical
Select the function that is nonlinear.
a
y = 3x - 4
b
y = 2x3 - 10
c
y = 4x -12
d
y = x + 101
Answer:
B
Step-by-step explanation:
A C and D are all linear. The powers on x in all three questions is 1. For example the first answer could be written as y = 3x^1 - 4. C and D are much the same.
So if you are thinking that B must be the answer, you would be right. x is raised to the third power -- or I think that is what is intended. y = x^3 - 10
What is the period of f(x) = sin(x)?
Pi over 2
Pi
3 pi over 2
2 pi
Answer:
2pi
2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.
Step-by-step explanation:
1
6
Drew uses container of
carpet freshener to
vacuum of his house.
If his entire house is
carpeted, at this rate,
what fraction of the
container of carpet
freshener will Drew use
to vacuum his entire
house?
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the proportion of the travelers who feel that airports are safe. The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe. With an alpha level of 0.05, conduct a test to determine whether the true proportion of interest is higher than 0.7.
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
ASAP
a golden bar has a mass of 12.5kg. the density of gold is 19.3 g/cm^3. work out the volume of the gold bar. give your answer to correct 3 sf.
Answer:
647.668 cm³
Step-by-step explanation:
12.5 kg = 12500 g
12500 g/19.3 g/cm³ = 647.668 cm³
If v = -5, what does 4v - 3 equal? (Explain aswell)
Answer: Answer= -23
Step-by-step explanation: plug in -5 for v. THen multiply 4 and -5 which should give you -20. then subtract -3 from -20 which will give you -23. :)
Pls answer I got 15 points and omg pls be correct
Answer:
$119.79
Step-by-step explanation:
Formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Given:
P = 90
r = 0.1
t = 3
n = 1
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]
Rewrite 2/5 and 4/11 so that they have a common denominator
Answer:
22/55 and 20/55
Step-by-step explanation:
multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55
Please explain how you got the answer!
Answer:
16
Step-by-step explanation:
1250/ 80 = 125/8 ≈ 15.6 rounds up to 16
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?
help what's the correct answer and how did u get it
Answer:
9490.
Step-by-step explanation:
First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.
Hope this helps!
I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!
Answer:
D
Step-by-step explanation:
1/2 * 3/4 equals 0.375 which is less than .5
.5= 1/2
so therefore, im right i guess.
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
What is Theoretical Probability in your own words ?
Answer:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.
Step-by-step explanation:
How many almonds in the cup? (1/4 cup) Help me
Answer:
The amount of almonds in the fourth cup are 40
how can I subtract 4/3 - 1/3
Answer:
1
Step-by-step explanation:
Since they have the same denominator, it would be:
[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]
evaluate 13+ 6/y when y=6
Answer:
14
Step-by-step explanation:
13+6/6=13+1=14
Answer:
14
Step-by-step explanation:
13+6/6=13+1=14
14 is the answer
please answer asap! no scam links or scam comments or reported.
Answer:
C
Step-by-step explanation:
Answer:
B. The longer a skydiver is in freefall, the more feet they fall per second
Step-by-step explanation:
Jeremy has a stand in the farmer's market where he sells strawberries by the pound. The table shows the weights of the strawberries and the prices per quantity. The relationship between the amount of strawberries in pounds and the price is a proportional relationship.
Which statement is true?
A.)The table does not represent a proportional relationship because the differences between consecutive terms in each column do not have the same ratio.
B.)The table does not represent a proportional relationship because the ratio between the price column and the weight column is not the same for each row.
C.)The table represents a proportional relationship because the differences between consecutive terms in each column have the same ratio.
D.)The table represents a proportional relationship because the ratio between the price column and the weight column is the same for each row.
please help me with this asap
Answer:
76
Step-by-step explanation:
I rewrote the question so I wouldn't have to keep going back to the picture.
A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.
How many of the adults polled that were 65 or older sleep with their smartphone within reach?
---------------------------------------------------------------------------------
I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.
Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76
To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.
As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)
Find the value of x. Round to the nearest degree
Answer:
b. 44°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 21
Adjacent = 15
Apply trigonometric function CAH:
[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]
[tex] Cos(x) = \frac{15}{21} [/tex]
[tex] x = cos^{-1}(\frac{15}{21}) [/tex]
x = 44.4153086° ≈ 44° (nearest degree)
Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.
Answer: sorry don't know but uhh its 5
Step-by-step explanation:
A store sells 8 cans of for $22. How much would it cost you to buy 3 cans of fruit cocktail? ?
the answer is 8.25 or 8 1/4
you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75
now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.
this would give you 8.25 which is your answer
if this was useful please mark brainliest! （>∀<）
Answer:
3 cans of fruit cocktail would cost $8.25
Step-by-step explanation:
[tex] \frac{22}{8} = 2.75[/tex]
2.75*3=8.25
m(x) = -3x + -2
Find m(-4)
Answer:
3x +2 =5
and m(x) was x=5 ,= m= -4