Answer:
4
Step-by-step explanation:
Based on your math expression:
7-15 = -8
-2*(-8) = 16
16 / 4 = 4
Answer:
4
Step-by-step explanation:
-2(7-15)
=-14+30
=16÷4
=4
When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas Occur
Time Number of Inventors
6 A.M.-12 noon 271
12 noon-6 P.M. 123
6 P.M.-12 midnight 327
12 midnight-6 A.M. 245
Required:
a. Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M.
b. Do the probabilities add up to 1? Why should they?
Answer:
a.
0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.
0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.
0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.
0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.
b. They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the total outcomes.
We have:
A total of 966 inventors.
Question a:
6 A.M. to 12 noon
271 out of 966, so:
[tex]p = \frac{271}{966} = 0.2805[/tex]
0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.
12 noon to 6 P.M.
123 out of 966, so:
[tex]p = \frac{123}{966} = 0.1273[/tex]
0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.
6 P.M. to 12 midnight
327 out of 966, so:
[tex]p = \frac{327}{966} = 0.3385[/tex]
0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.
12 midnight to 6 A.M.
245 out of 966. So
[tex]p = \frac{245}{966} = 0.2536[/tex]
0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.
b. Do the probabilities add up to 1? Why should they?
0.2805 + 0.1273 + 0.3385 + 0.2536 = 1
They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.
Help please, solve and explain
Answer:
Step-by-step explanation:
17.
18.
f(x)=6x^2+7x-4
(a)
f(3)=6(3)^2+7(3)-4
=54+21-4
=71
(b)
f(m)=6m^2+7m-4
(c)
f(x+1)=6(x+1)²+7(x+1)-4
=6(x²+2x+1)+7x+7-4
=12x²+12x+6+7x+7-4
=12x²+19x+9
19.
(fg)(x)=f(g(x)=f(2x²+3)=2x²+3+5=2x²+8
20.
(a)
f(x)=x²+3x+4
domain:all real values
(b)
domain:all real values≥-2
(c)f(x)=log(x+7)
Domain:x≥-7
21.
x²+6x+y²-7=0
(x²+6x+6/2)²)-(6/2)²+y²=7
(x+3)²+y²=7+9
(x+3)²+y²=4²
center=(-3,0)
radius=4
22.
(x-3)²+(y-5)²=3²
or
x²-6x+9+y²-10y+25=9
x²+y²-6x-10y+25=0
Graph is for 17th question.
Find the surface area of the regular pyramid.
Get brainiest if right!!
Mark has 1.5 times more collectible cards than Jacob. If Mark
gives Jacob 11 cards, they will have the same number of
collectible cards. How many cards do they have?
Answer:
17.5 cards
Step-by-step explanation:
11 x 1.5 = 16.5
16.5 + 11 = 17.5 cards
Answer:
110
Step-by-step explanation:
Let us take Jack cards as x
Then Mark cards will be 1.5 * x
Mark gives 11 cards to Jack...the equation is
1.5 * x - 11 = x + 11
Adding +11 on both sides
1.5*x -11 + 11 = x + 11 + 11
1.5*x = x + 22
Subtracting x on both sides
1.5*x - x = x + 22 - x
.5*x = 22
x = 22 * 1/.5 = 220/5 = 44
Now go back to the initial equation
Mark >> 1.5 * x = 66
Jack >> 1 * x = 44
Total >> 110.
Ms.Peralta's friend Mike is a construction worker. Mike gets paid $15 an hour. After working 9 hours he gets paid 1.25 times his hourly rate. Below you can find Mike's hours for last Friday. - Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - worked for an additional 7.5 hours How much money did Mike make last Friday?
Answer:
Mike made $ 200.63 last Friday.
Step-by-step explanation:
Since Ms. Peralta's friend Mike is a construction worker who gets paid $ 15 an hour, and after working 9 hours he gets paid 1.25 times his hourly rate, and last Friday Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - and worked for an additional 7.5 hours, to determine how much money did Mike make last Friday the following calculation must be performed:
5 + 7.5 = 12.5
12.5 - 9 = 3.5
9 x 15 + (3.5 x (15 x 1.25)) = X
135 + 3.5 x 18.75 = X
135 + 65.625 = X
200.63 = X
Therefore, Mike made $ 200.63 last Friday.
Sam puts $10,000 in an account earning 4% interest, compounded monthly. If he adds 5100 to the account each month, how much
will the account be worth in 10 years?
A. $26,489.23
B. $29,633.31
C. $32,722.56
D. $34,693.81
Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68
9514 1404 393
Answer:
(b) $1,393.88
Step-by-step explanation:
For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...
47.75 hours + (7.75 hours)/2 = 51.625 hours
That pay is ...
(51.625 h)($27/h) = $1393.88
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
x = 30°
Step-by-step explanation:
(3x) = 90
[tex](3x)/3=90/3[/tex]
x [tex]=[/tex] 30
Hence, x = 30°
Split 294x306, which identity is used to solve it?
Answer:
identity :- ( a + b ) ( a - b ) = a² - b ²
Answer :- 89,694
Step-by-step explanation:
Given : 294 × 306
split 294 × 306
294 × 306 = ( 300 - 6 ) × ( 300 + 6 )
Using Identity, ( a + b ) ( a - b ) = a² - b ² :
= ( 300 )² - ( 6 )²
= 90000 - 36
= 89,964
Hence, 294 × 306 = 89,694
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate using the mean of the sample. Using the value miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be confident that its estimate is within miles per month of
Answer:
The minimum sample size needed 64 monthly U.S. rental car mileages.
Step-by-step explanation:
Note: This question is not complete as all the important data are omitted. The complete question is therefore provided before answering the question as follows:
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 175 miles per month of u?
The explanation of the answer is now given as follows:
The minimum sample size needed can be calculated using the following sample size formula:
n = ((Z * S) / E)^2 ………………………… (1)
Where:
n = sample size or minimum sample size = ?
Z = Confidence interval at 95% = 1.645
S = Standard deviation = 850
E = Accepted magnitude of error = 175
Substituting all the relevant values into equation (1), we have:
n = ((1.645 * 850) / 175)^2 = (1,398.25 / 175)^2 = 7.99^2 = 63.8401, or 64.
Therefore, the minimum sample size needed 64 monthly U.S. rental car mileages.
A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 2.00.
Answer:
False
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
[tex]\mu = 30, \sigma = 8[/tex]
Sample of 4
This means that [tex]n = 4, s = \frac{8}{\sqrt{4}} = 4[/tex]
Probability of obtaining a sample mean greater than 34:
This is 1 subtracted by the p-value of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{34 - 30}{4}[/tex]
[tex]Z = 1[/tex]
Thus, the probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 1.00, and the statement in this question is false.
Doug's dog food company wants to impress the public with the magnitude of the company's growth. Sales of Doug's dog food had DOUBLED from 2017 to 2018, so the company displayed the following graph, in which the radius of the base and the height of the 2018 can are double those of the 2017 can.
what does the graph show with respect to the growth of the company? (Hint: the volume of a cylinder is given by V= π r^2h, where r is the radius of the base and h is the height ).
Answer:
2018 =2(2017)
Step-by-step explanation:
2018 = 2(πr²h)
What is the slope of the line below
Answer:
D. 1/2
Step-by-step explanation:
Step-by-step explanation:
The answer is 1/2. As the slop means gradient. so Gradient = change in Y / change in X .
10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1
Compare to the divergent series,
[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]
Then by the limit comparison test, the given series also diverges, since the limit
[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]
is positive and finite.
Noah is carrying a bag that weighs 2.5 pounds. What is the weight of the bag equal to?
A. 30 oz.
B. 40 oz.
C. 50 oz.
D. 60 oz.
Answer:
B. 40 oz.
Step-by-step explanation:
Is a lamp bigger than a mug?
yes of course it's bigger, put a mug next to a lamp and there you will see it
Answer:
Whether you have your hot drinks in a ceramic or glass mugs, the difference is ... light kind of weight over the mugs when compared to the ceramic cup. ... can retain the heat for a much longer time duration than the glass cup.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
what is the equation that matches this table?
Answer:
y = –1 + 3x
Step-by-step explanation:
To know which option is correct, we shall use the equation given in each option to see which will validate the table. This is illustrated below:
Option 1
y = –1x + 3
x = –2
y = –1(–2) + 3
y = 2 + 3
y = 5
This did not give the required value of y (i.e –7) in the table.
Option 2
y = 1 + 3x
x = –2
y = 1 + 3(–2)
y = 1 – 6
y = –5
This did not give the required value of y (i.e –7) in the table.
Option 3
y = –3 + 1x
x = –2
y = –3 + 1(–2)
y = –3 – 2
y = –5
This did not give the required value of y (i.e –7) in the table.
Option 4
y = –1 + 3x
x = –2
y = –1 + 3(–2)
y = –1 – 6
y = –7
This gives the required value of y (i.e –7) in the table.
Thus, the equation that matches the table is:
y = –1 + 3x
how much does a customer save for buying a sound system marked $1,200 at a discount of 15%
Answer:
Step-by-step explanation:
Mp=$1200
Let sp be x
SP=MP-discount% of MP
x=1200-15/100 * 1200
x=120000-18000/100
x=102000/100
x=1020
the amount of money person saves=MP-SP
=$1200-$1020
=$180
therefore he saves $180
Choose the best selection for the
quadrilateral with vertices at the
following points:
(-5,0), (0,4), (5,0), (0,-4)
Hint: Start by graphing the points.
Distance Formula: d= (x2 – x1)2 + (72 - yı)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
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Answer:
C. Rhombus
Step-by-step explanation:
The symmetry of the coordinates tells you the figure has equal-length sides, but the angles are not right angles. Such a figure is a rhombus.
1,4,1,8,1,16,1 what’s next in the sequence?
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
Is segment ST tangent to circle P1
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
The measure of the angle of depression from the top of a 270-meter building to a park bench on the ground is 36°45′. How far away is the park bench from the building? Round to the nearest whole number.
Answer:
202 m
Step-by-step explanation:
Given :
Angle of depression, θ = 36°45' ; 45/60 = 0.75 = 36 + 0.75 = 36.75°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 36.75 = d / 270
d = 270 * Tan 36.75
d = 201.61856
d, distance of Park bench from building is 202 m
I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
（l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
PLS HELP IM BEING TIMEDWhich of these statements is true? A) 349 > 456 B) 456 < 792 792 < 456 D) 792 > 863
Answer:
B
Step-by-step explanation:
792 is a bigger number than 456
Answer: B
Step-by-step explanation: 792 is larger than 456
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer: yes yes no yes yes no
Step-by-step explanation:
What is 17.445 - 6.76 rounded to the nearest tenth
Answer:
10.7
Step-by-step explanation:
17.445 - 6.76= 10.685
10.685 is 10.7 when rounded to the nearest tenth!
of the 10 people attending a seminar, 5 have gray hair.
What is the probability that a randomly selected person will have gray hair?
Answer:
1/2
Step-by-step explanation:
So we know that there is a total of 10 people.
5 of these have grey hair.
To find the chances of a somone having grey hair, we need to divide people with grey hair over total people:
[tex]\frac{value}{total} =probability[/tex]
This is the same division we use to find things such as percentage and ratio as well.
Now lets plug in our numbers and solve:
[tex]\frac{5}{10}=\frac{1}{2}[/tex]
So half of the people have grey hair.
Or(in percentage):
The probability is 50% that someone will have grey hair.
Hope this hepls!
Given that P(x) = 2W/W+1 + W-4/2W-3 , evaluate p(0)
Answer:
5
Step-by-step explanation:
jnjknmnj
Can someone answer the question?
Answer:
[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]
Step-by-step explanation:
Division of complex numbers in polar form is [tex]z_1/z_2=\frac{r_1}{r_2}cis(\theta_1-\theta_2)[/tex] where [tex]z_1[/tex] and [tex]z_2[/tex] are the complex numbers being divided, [tex]r_1[/tex] and [tex]r_2[/tex] are the moduli, [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the arguments, and [tex]cis[/tex] is shorthand for [tex]cos\theta+isin\theta[/tex]. Therefore:
[tex]\frac{9(cos(\frac{11\pi}{6})+isin(\frac{11\pi}{6})) }{3\sqrt{3}((cos\frac{\pi}{4})+isin(\frac{\pi}{4})) }[/tex]
[tex]\frac{9}{3\sqrt{3} }cis(\frac{11\pi}{6}-\frac{\pi}{4})[/tex]
[tex]\frac{\sqrt{3} }{3} }cis(\frac{19\pi}{12})[/tex]
[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
7
Step-by-step explanation:
The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)
