Answer:
[tex]Number = 39.80[/tex]
Step-by-step explanation:
Given
[tex]Number = 39.79949748[/tex]
Required
Approximate (to the nearest 100th)
This means that, we approximate at the second digit after the decimal.
So:
i.e,
Number = 39.79 [Begin approximation] 949748
The first digit after [Begin approximation] is then approximated using the following rule:
[tex]0 - 4 \approx 0[/tex]
[tex]5 - 9 \approx 1\\[/tex]
Since 9 falls in [tex]5 - 9 \approx 1\\[/tex] category, the number becomes:
[tex]Number = 39.[79+1][/tex]
[tex]Number = 39.80[/tex]
Charles invested $15,000 in stocks and bonds. He made a 12% profit on his stock investments and a 5% profit on his bond investments. If Charles's combined profits on both types of investments were $1,450, how much did he invest in stocks?
Answer:When you leave the interest in your
account or reinvest the money you earn on your
investments, the money you earn starts to earn
money too. Over time, the magic of
compounding works, allowing your money to
grow with dramatic results. The more time you
have to save, the less money you need to save
because of compounding. And the longer you
wait to start saving, the more you have to spend
to reach your goal. For example, let’s assume
that Maria’s savings grow by 5% a year. If she
starts to save $243 a month now, it will cost her
$58,320 to have $100,000 in twenty years. If
she waits 10 years to start saving, she will have to
save $644 a month for 10 years, and it will cost
her $77,280 to reach $100,000 in twenty years.
Step-by-step explanation:Hope this helps!!!!
Answer:
$10,000 invested into stocks
Step-by-step explanation:
PLEASE ITS URGENT I NEED HELP ..
PLEEEAASEEE !!!
I BEG YOU GUYS ...
Thanks for the help...
i actually put the answer AT RANDOM so pay no attention to it
Answer:
the answer is 3 x 10^6
Step-by-step explanation:
Nathan inherited $100,000 from a wealthy uncle and invested the money in an account that earns 4% interest compounded annually.
How much interest will this money earn if Nathan leaves it in the account for 10 years?
A roller coaster is being designed that starts at (0,22) and ends at (19,2),
Along the ride there is a relative minimum at (5,6) and a relative
maximum at (10,18). The roller coaster is almost finished but one
section is missing. Find the correct function that completes the roller
coaster so that the ride is smooth and continuous.
Answer:
The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12
Step-by-step explanation:
The general form of equation of a roller coaster is given as follows;
y = A·sin(B(x - C)) + D
Where;
A = The amplitude = (18 - 6)/2 = 6
D = The vertical shift = 12
One revolution = 10 unit
∴2·π = 10 unit
Therefore, 10 = 2·π/B
B = 2·π/10
The phase shift = 3·π/2
Therefore, we have the function as follows;
f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12
19) An airplane has 150 passengers. 48% of the passengers are traveling alone.
How many passengers are traveling alone?
Answer:
72 passengers
Step-by-step explanation:
What we know:
There are 150 passengers in total48% of the passengers are travelling aloneTo find how many passengers are travelling alone, multiply 150 by 48%.
48% ⇒ 0.48 as a decimal
150 × 0.48 = 72
Therefore, 72 passengers are travelling alone.
I hope this helps!
Answer:
72
Step-by-step explanation:
Given the system:
4x + 3y = -1
5x + 4y = 1
What is the solution to this system?
A. (-7,9)
B. (9,-7)
C. (-1,1)
D. (1,-1)
Answer:
A is the answer
Step-by-step explanation:
hope that helped
There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
do not use the swimming pool?
Answer:
1/13
Step-by-step explanation:
there are 10 people that use the gym and track and 10 is 1/13 of 130
I need help please asap
Answer:
Part B
How does this change in setting affect Miguel? Choose two answers.
A.
Miguel asks his mom if he can transfer to a different middle school.
B.
Miguel becomes a more focused student.
C.
Miguel begins to struggle in his Language Arts class as well.
D.
Miguel makes a new friend.
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
Testing:
H0:μ=54.5
H1:μ<54.5
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
Calculate the test statistic, rounded to 2 decimal places.
t=
Answer:
t = -1.54.
Step-by-step explanation:
The test statistic is:
[tex]t = \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.
H0:μ=54.5
This means that [tex]\mu = 54.5[/tex]
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]
Test statistic
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is t = -1.54.
i'll give brainliest please help
Answer:
The answer is ≈9.7474532 cm.
P.S. it took me a long time to figure this out I would appreciate if you put brainliest.
A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 3 different blues and 6 different greens.
The family decides to just randomly select a color from these.
What is the probability they will pick a shade of blue?
Enter your answer to the nearest percent in the box.
For ratios, the numerator usually indicates how much of a specific option you have, and the denomenator is often times the total of the set.
In this case, you have a total of 9 shades, if you add the greens and blues together. Three of them, are blue.
Hopefully this helps!
Answer: yes
Step-by-step explanation:
i had this quesion too and i got it correct
Which equation has a solution of 4? Select all that apply. A 12x = 3 C10 + x = 14 B 6x = 24 DX-4 = 8
Answer:
C and B
Step-by-step explanation:
A. 12x = 3, x =1/4
C. 10 + x = 14, x = 4
B. 6x = 24, x =4
D. x -4 = 8, x =12
Only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
A
12x = 3
Simplifying the above expression,
12x = 3
x = 3 / 12
x = 1 / 4
Similarly simplifying all the expressions gives,
B. x = 4
C. x = 4
D. x = 12
Thus, only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.
Learn more about simplification here:
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A bouncy ball is dropped such that the height of its first bounce is 6.75
feet and each successive bounce is 68% of the previous bounce's
height. What would be the height of the 6th bounce of the ball? Round
to the nearest tenth (if necessary).
Step-by-step explanation:
0,4 ft
It can be convinient to let a spreedsheet compute the values for you
Here we have written an expiliclit formula for the height of the 9th bounce
H= 5.5 x 0.64'(n-1)
We have written the formuka this way beacause we are given the height of the firrrst bounce not the satrting height so as you see each bounce multiples the height by a factor of 0,64 then the 7th bounce will be
H= 5.5 x 0.64'6 = 0.378 = 0,4 feet
Hope it helpsAnswer: 1
Step-by-step explanation:
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
170
Step-by-step explanation:
Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2
Answer:
0
Step-by-step explanation:
L Hospital's rule states that as long as u have the form
of infinity / infinity or 0/0 in general you can take its derivative to find the limit.
In this case as X tends to 0, the numerator tends to 0
Denominator will also tends to 0.
We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives
(2x - 2SinxCosx) / 2x | lim x -> 0
= (2x - Sin2x) / 2x | lim x -> 0
Based on this equation, as x tends to 0
both numerator and denominator tends to 0.
So we take its second derivative,
(2 - 2Cos2x) / 2
Now as x -> 0,
we will get (2 - 2)/2 = 0
A fair cube has 2 blue sides, 2 red sides, and 2 green sides.
What is the probability of rolling a blue or red side?
Please help me I will get you a thanks :-)
Answer:
A=32.5
Step-by-step explanation:
A=(4+9)*5/2
A=13*5/2
A=65/2
A=32.5
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Find the common difference.
2
1.8
8/9
Answer:
Step-by-step explanation:
Let d be the common difference.
a₁₀ = a₁ + (10-1)d
13 = -5 + 9d
d = 2
find the ratio 3600sec is to 2hours
Answer:
30:1
Step-by-step explanation:
What is the solution to the following equation? X +(-13) = -5. A. X= 18 B. X = 8 C. x -18 D. X = -8
x + (-13) = -5
x - 13 = -5
x = -5 + 13
x = 8
Five less than 10 times a number is -13.
Answer:
10 x X - 5 = -13
Answer:
Step-by-step explanation:
10x-5= -13
10x= -13+5
10x= -8
x= 10/-8
x= -1.25 or 5/-4
3(2x - 4)-5(x+3)?
Which expression is the simplest form of
3
O A.
112-27
3
2+3
B.
3
C.
2-27
3
D. X - 9
The simplest form of the equation [tex]\frac{3(2x-4)-5(x+3)}{3}[/tex] is [tex]\frac{x-27}{3}[/tex].
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
The expression is given as
= [tex]\frac{3(2x-4)-5(x+3)}{3}[/tex]
= [tex]\frac{6x-12-5x-15}{3}[/tex]
= [tex]\frac{x-27}{3}[/tex]
Therefore,the simplest from the given equation is [tex]\frac{x-27}{3}[/tex].
To know more about the problem-solving strategies, here
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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known at 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes. Use a = 0.05. The test statistic is a 1.96 b. 1.64 c. 2.00 d. 0.056 The p-value is a. 0.0456 b. 0.0482 c. 0.4772 d. 0.9759 e. 0.9772 At the 5% level, you a. fail to reject the null hypothesis b. reject the null hypothesis
Answer:
The test statistic is c. 2.00
The p-value is a. 0.0456
At the 5% level, you b. reject the null hypothesis
Step-by-step explanation:
We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.
This means that the mean and the alternate hypothesis are:
Null: [tex]H_{0} = 3[/tex]
Alternate: [tex]H_{a} = 3[/tex]
The test-statistic is given by:
[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.
Sample of 100 customers.
This means that [tex]n = 100[/tex]
3 tested at the null hypothesis
This means that [tex]\mu = 3[/tex]
The average length of time it took the customers in the sample to check out was 3.1 minutes.
This means that [tex]X = 3.1[/tex]
The population standard deviation is known at 0.5 minutes.
This means that [tex]\sigma = 0.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]
[tex]z = 2[/tex]
The test statistic is z = 2.
The p-value is
Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.
z = 2 has a pvalue of 0.9772
2*(1 - 0.9772) = 2*0.0228 = 0.0456
At the 5% level
0.0456 < 0.05, which means that the null hypothesis is rejected.
A rectangular room is 1.6 times as long as it is wide, and its perimeter is 34 meters. Find the dimensions of the room.
Answer:
Step-by-step explanation:
x=1.6w and 2w+2x=34.
Simply substitute for x in the perimeter equation, and solve for w. Now compute x.
2, 4, 6, 7, 6, 6, 6,3 What is the Mean? What is the Median? What is the Mode? What is the Range?
Answer:
Mean: 5
Median: 6
Mode: 6
Range: 5
hope that helps
Step-by-step explanation:
Mean = 5
Median = 6
Mode = 6
Range = largest no.- smallest no.
= 7-2 = 5
The angles of a triangle are (x - 5), (x + 15)°
and (2x + 10). Given that the sum of the
angles of a triangle is 180°, calculate the size
of each angle.
Answer:
35°, 55°, 90°
Step-by-step explanation:
Since all the angles of a triangle equal 180, add them all together and set them equal to 180.
(x-5)+(x+15)+(2x+10)=180
Now solve for each angle.
(40-5)
=35°
(40+15)
=55°
(2(40)+10)
=90°
Now check your work.
35°+55°+90°
=180°
15a > 75. Substitute 5 for a. PLEASE HELP
Answer:
its equal
Step-by-step explanation:
15 times 5 (a) is 75 soooo 75 is equal to 75 maybe
A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.
Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = [tex]$12 \times 40 + 18 \times X$[/tex]
S = 480 + 18X
E(S) = [tex]$480 + 18 \times E(X)$[/tex]
[tex]$E(S) = 480 + 18 \times 15$[/tex]
= 750
Mean of S = 750
Var (S) = [tex]$18^2 \times Var(X)$[/tex]
Var(S) = [tex]$18^2 \times 4^2$[/tex]
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
find the mad: 250, 249, 251, 253, and 253
Its 250 for sure i have not done mads for a while now.
So maybe double check me with someone else
Answer:
It's 1.44
Step-by-step explanation: