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FS MATHS L2
Practise the Skill
1)
There are 14 women and 7 men in a café.
What is the probability that a person picked at random will be a woman?
Give your answer as a fraction in its lowest terms.
2)
Sally has a pack of playing cards and she chooses a card at random.
a) What is the probability that she picks an ace?
Give your answer as a fraction in its lowest terms.
Answer:
1) 2/1
2) 13/1
Step-by-step explanation:
Plz help me well mark brainliest if correct....??????????????...
Answer:
D). 100
Step-by-step explanation:
The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100
Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?
Answer:
54
Step-by-step explanation:
Calculation to determine How many problems on the final exam did Cameron get wrong
Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)
Let plug in the formula
Wrong Numbers of problems=200-(73%*200)
Wrong Numbers of problems=200-146
Wrong Numbers of problems=54 problems
Therefore the problems on the final exam that Cameron get wrong is 54
Answer:
54
Step-by-step explanation:
ok
pls i need help i’ll give brainliest!
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The rule here is that the product of the lengths from the external point of intersection (angle vertex) to the intersections with the circle is the same for both secants. The tangent counts as intersecting the circle twice. So, we have ...
(6)(6) = (3)(x)
x = 36/3 = 12 . . . . . divide by the coefficient of x
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
What percentage of the people surveyed own fish?
A. 10%
B. 6%
C. 4%
D. 0.1%
Answer: the answer should be 10%
Step-by-step explanation:
Answer:
10% is correct!
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
Help me PLEASEEEEEEEEEEEEE
Answer:
B, C, D.
Step-by-step explanation:
These are all statistical questions since these can be answered by collecting data that vary.
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
The transformation of y=f(x) to y=f(2x) is a:
Answer:
c) vertical stretch by a factor of 2
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Horizontal stretch by a factor of 1/2.
We can also describe this as a horizontal compression by a factor 2
What is the value of the following expression when
y = 4?
y³ + 6
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answer:
B is the answer trust me I already took the math.
Step-by-step explanation:
SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Answer:
6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.
Step-by-step explanation:
15 substituted in for f and x is the the number of summers.
Answer:
6
21
36
51
Illuminate test.
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
Assume that we want to estimate the mean IQ score for the population of statistics students. How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean? The Standard Deviation is 15.
Answer:
97 students must be randomly selected for IQ tests.
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 Z-table as such z has a p-value 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.
The Standard Deviation is 15.
This means that [tex]\sigma = 15[/tex]
How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?
This is n for which M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.96*15[/tex]
Simplifying both sides by 3
[tex]\sqrt{n} = 1.96*5[/tex]
[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]
[tex]n = 96.04[/tex]
Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):
97 students must be randomly selected for IQ tests.
Simplify (3√5 − 5√2 ) (4√5 + 3√2 )
Answer:
=30−11√1
hope it helped!
which sentence is true iready math
what is 2 5/12 - 1 8/12 = ?
Answer:
3/4.
Step-by-step explanation:
Convert both of the mixed numbers into improper fractions.
2 5/12 becomes 29/12, 1 8/12 becomes 20/12.
From there, subtract 20/12 from 29/12 and you get 9/12.
Simplify 9/12 to get 3/4.
Your answer is 3/4.
I hope this helped, have a nice day.
anybody know the answer to this question? I’m kinda lost
Answer:
A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F
Step-by-step explanation:
A regression model is in the form :
y = mx + c
With m being the slope = rate of change
In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x
The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F
Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?
Answer:
False
Step-by-step explanation:
Precision describes repeatability.
Accuracy describes the closeness of a measurement to the actual value.
So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).
Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.
The perimeter of the
rectangle is 14 m and
the area is 12 m2.
Calculate the length
of the rectangle
diagonal
Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5
Find the median of the following numbers. 15, 28, 44, 42, 32, 48
Answer:37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
First, sort the data in increasing order.
15, 28, 32, 42, 44, 48
The number of data is even (there are 6 numbers), so there isn't one in the middle. In that situation, you average the middle 2 data (32 and 42).
(32 + 42)/2 = 74/2 = 37
If there IS a middle numbe, just use it.
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store? .78 .50 .28 .22
Answer:
[tex]p' = 0.22[/tex]
Step-by-step explanation:
Given
[tex]p = \frac{78}{100}[/tex]
Required
Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles
To do this, we make use of complement rule;
Which states that:
[tex]p + p' = 1[/tex]
Make p' the subject
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - \frac{78}{100}[/tex]
Express fraction as decimal
[tex]p' = 1 - 0.78[/tex]
[tex]p' = 0.22[/tex]
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?
Answer:
4/5
Step-by-step explanation:
here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5
please help I don't know how to do
Answer:
9y+7=2y+98
5y=91
y=91\5
What is the value of x in the equation 7(x − 2) = 5(x + 4)?
Answer: x= 17 I hope that helps you understand it Goodbye!
Step-by-step explanation:
7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down
1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides
2. 7x=5x+20+14 = 5x+34
3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides
4. 7x-5x=34 So then I do 7x-5x=2x
5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17
So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please
What do u multiply first?
Answer:
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.
pls Mark me as brainliest trust me..
QUICKK!! GIVING BRAINLIEST TO CORRECT ANSWER
Step-by-step explanation:
Insufficient information!
however, volume will remain same in both of these figures!
Reflect (‐10,4) across the x‐axis what is the reflected ordered pair
Answer:
(-10, -4)
Step-by-step explanation:
That is the ordered pair
Estimate: 4/5 - 1/2
Answer:
Answer:
it's 3 by 10
just take l.c.m