Answer:
0.8664
Step-by-step explanation:
I hope it helps, and please give me Brainlest!
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/5, 5/3,13/6,8/3
This question was not written properly
Complete Question
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/6, 5/3, 13/6, 8/3
Answer:
a) Common difference = 1/2
b) Fifth term = 19/6
c) nth term = 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term = 152/3
Step-by-step explanation:
We solve using the formula for arithmetic sequence
an = a1 + (n - 1)d
a1 = First term
n= nth term
d = common difference
a) Common difference = Second term - first term or Third term - second term
= d = 5/3 - 7/6
d = LCD (Lowest Common Denominator = 15
d = 5 × 6 - 3 × 7/18
d = 30 - 21/15
d = 9/18
d = 1/2
b) Fifth term =
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 5
d = 1/2
a5 = 7/6 + (5 - 1)1/2
a5 = 7/6 + (4)1/2
a5 = 7/6 + 4/2
a5 = 7/6 + 2
a5 = LCD = 6
= 7× 1 + 2 × 6/6
= 7 + 12/6
= 19/6
c) nth term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = n
d = 1/2
= 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 100
d = 1/2
a5 = 7/6 + (100- 1)1/2
a5 = 7/6 + (99)1/2
a5 = 7/6 + 99/2
a5 = 7/6 + 99/2
a5 = LCD = 6
= 7× 1 + 3 × 99/6
= 7 + 297/6
= 304/6
= 152/3
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours.
Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
Which substance has a freezing point furthest from that of water, 0°C?
Iodine 113.5
Carbon Dioxide −78.7
Mercury −39
Glycerine 17.7
Nitrogen −210
Answer:
The freezing point of water at a pressure of one atmosphere is 0°C (32°F); that of liquid nitrogen is -209.89°C (-345.8°F).
Which model represents the factors of 4x2 - 9?
Answer:
Step-by-step explanation:
What are the choices?
4x^2-9
Both terms are perfect squares.
(2x-3)(x+3)
Answer:
B=#2
Step-by-step explanation:
The sum of 4 thirteens and 16 thirteens, need answer ASAP :(
Answer:
260?
Step-by-step explanation:
I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.
The sum of 4 thirteens and 16 thirteens is 260.
What is the meaning of sum?
You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.
Here, 4 thirteens = 4 × 13 = 52
16 thirteens = 16 × 13 = 208
Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260
Hence, 260 is the correct answer.
Learn more about sum from the link.
https://brainly.com/question/24205483
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Robinson’s hotel room rent is $80. His food bill is $30 and the taxi costs him $20. His company deposits his salary of $100 into his bank account. What would be the balance remaining after paying his monthly expenses? Plz help 49 points
Answer:
well his balance would be 0
Step-by-step explanation:
$80+$30+$20=130$
100$-130$=-30$
but in a bank account you cant spend more than you have like you can a credit card
Scale is 1cm=8km
Hatboro and Smithville are 24cm apart on the map. What is the actual distance between the 2 cities
Answer:
192 km
Step-by-step explanation:
the same ratios apply to the situation
if 1 cm is 8 km, 24 cm could be calculated using ratios
1/8 = 24/x
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 31% of babies be born out of wedlock?
Answer:
The year is [tex]b = 1995[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
[tex]d = a - k[/tex]
=> [tex]d = 31 - 28[/tex]
=> [tex]d = 3\%[/tex]
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
[tex]n = \frac{3\%}{0.6\%}[/tex]
=> [tex]n = 5\ years[/tex]
Generally the year which the considered percentage will be attained is
[tex]b = 1990 + n[/tex]
=> [tex]b = 1990 + 5[/tex]
=> [tex]b = 1995[/tex]
Estimate the sum by rounding 5,987+1,450 to the nearest thousand
Answer:
7000
Step-by-step explanation:
plz mark brainliest
Answer:
7,000
Step-by-step explanation:
First, round the numbers:
5,987 → 6,0001,450 → 1,000Next, add:
6,000 + 1,000 = 7,000I hope this helps!
I need help somebody give me a answer?
2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
Learn more on logarithm :https://brainly.com/question/30226560
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The teacher recommends that students read for 20 minutes each
night. How many pages will the student complete?
type your answer...
pages
1 point
In a really exciting part of the book, the student read 18 pages in
one sitting. For how many minutes did she read?
Answer:
the student read for 36 minutes
Step-by-step explanation:
so for each night minutes read is going to represent the minutes read and y is going to represent the pages read. This means that 18 should be substituted in for y.
18=1/2x
so to solve you are going to divide both sides by 1/2
36=x
Find the values of x and y.
The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
what property is shown below
if q=r and r=s, then q=s
Answer:
Transitivity
Step-by-step explanation:
if q=r and r=s, then q=s
It is by the property of TRANSITIVITY.
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
Answer:
No
Step-by-step explanation:
Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse
From the Pythagorean theorem
8^2 = 5^2 + 7^2
64 = 25 + 49
64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths
Rodney needs $90 to buy a fish tank. He has saved $35 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Rodney should work as a babysitter to earn enough to buy the fish tank? (1 point)
35 + 5n ≥ 90, so n ≥ 11
35 + 5n ≤ 90, so n ≤ 11
5n ≥ 90 + 35, so n ≥ 25
5n ≤ 90 + 35, so n ≤ 25
Answer:
A : 35 + 5n ≥ 90, so n ≥ 11
Step-by-step explanation:
Just took the assesment!
Find n and r 10 pointsssss
Answer:
r = 11.623cm (aprox)
n = 6.153cm (aprox)
Step-by-step explanation:
Proportions:
9.8 ⇔ 4.3
n ⇔ 2.7
r ⇔ 5.1
n = 9.8*2.7/4.3 = 6.153 (aprox)
r = 9.8*5.1/4.3
r = 11.623 (aprox)
Which one is not a statistic ?
單選題 (10 分)
A.Sample mean
B.Sample standard error
C.Sample variance.
D.Population mean
Y+2=-3(x-4) what’s the missing value? (_,-2)
Answer:
12
Step-by-step explanation:
Distrubute (y +2 = -3x + 12)
subtract 2 on both sides ( y +2 = -3x + 12 )
-2 -2
conbine like terms (y = -3x + 10)
Answer:
4
Step-by-step explanation:
it worked, it is not 12
20 POINTS N BRAINLIEST 16. Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.
Answer:
a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars
Step-by-step explanation:
a) Alun's earn equation is
E=0.05t+34
b) when t=400, then
E=0.05(400)+34
E=20+34
E=54
c) when E=64, then
64=0.05t+34
hence
0.05t=64-34
0.05t=30
[tex]t=\frac{30}{0.05}[/tex]
t=600
WILL GIVE BRAINLYIST.
For this problem, use the tables and charts shown in this section. For total cost of an American tourist traveling on the European continent, Is the average price (1) higher, or (2) lower than the highest total figure shown for the Pacific area? higher lowes
Step-by-step explanation:
higher
3. If 4x = 28, find the value of 29 - 5x *
1
-6
O Ο Ο
6
- 1
48:23 +4.10 3/4
Help pls....
Answer:
48:26.075
Step-by-step explanation:
Find the exact value of each expression, if it is defined. Express your answer in radians. (If an answer is undefined, enter UNDEFINED.)
(a) sin−1(-squareroot of 2/2)
(b) cos−1(-squareroot of 2/2)
Answer:
a) -0.7854
b) 2.36
Step-by-step explanation:
Here, we want to find the value of the angles in radians
We proceed as follows;
a) arcsin( - √2/2)
= -0.7854
b) arccos(-√(2)/2
= 2.36
You have a lake that is half shaded and half sunny. If you want to run an experiment and don't want to quantify the effects of sunlight but don't want it to effect you results, you would set up your study as a:_______a. CRDb. Block Design
Answer:
The answer is "Option a".
Step-by-step explanation:
It Central Registry Depository for certain firms and persons active throughout the U.S. stock market is the registry operated by Finance Sector Regulation Agency since 2007. It is used for storage and maintenance with licensed shares and brokerage firms and personal information, that's why CRD is correct.
x=3, y-x=-3
what is the value of y
a. y=4
b. y=6
c. y=5
d. y=10
find the missing side length.
Answer:
5 ft
Step-by-step explanation:
The answer is 5 ft because the long side is 8 ft and one portion of that side is 8 ft, and 13-8=5.
Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100. What are three possible groupings Chloe can make?
Answer: One group made up of 12 can each have 50.=600
the second group of 30 can each have 20=600
third group made of 15 can each have 40=600
Step-by-step explanation:
Answer:
not sure if this is correct, but...
you could do 12 groups of 50
or 14 groups of 60
orrr 20 groups of 30