Answer:
The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.
PLEASE HELP!!
The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally
distributed, complete the following statements.
(a) Approximately of the batteries have lifetimes between 790 hours and
930 hours.
Example
(b) Approximately 95% of the batteries have lifetimes between hours and
hours.
Answer:
A) 99.74%
B) 633.6 hours and 986.4 hours
Step-by-step explanation:
Solution :
Given that ,
mean = u =810
standard deviation = sigma = 90
P(540< x <1080 ) = P[(540-810) /90 < (x - u ) / sigma < (1080-810) /90 )]
= P( -3< Z < 3)
= P(Z <3 ) - P(Z < -3)
Using z table
=0.9987-0.0013
= 0.9974
answer=99.74%
(B)
middle 95% of score is
P(-z < Z < z) = 0.95
P(Z < z) - P(Z < -z) = 0.95
2 P(Z < z) - 1 = 0.95
2 P(Z < z) = 1 + 0. 95= 1.95
P(Z < z) = 1.95/ 2 = 0.975
P(Z <1.96 ) = 0.975
z ±1.96
Using z-score formula
x= z * sigma + u
x= -1.96* 90+810
x= 633.6
Using z-score formula
x= z * sigma + u
x=1.96* 90+810
x= 986.4
633.6 hours and 986.4 hours
Kirk ran 7 1/2 miles around the track. Each lap is 2 1/2 miles. How many laps did Kirk run?
Write your answer as a fraction or as a whole or mixed number.
A right circular conical tank of height 1 foot and radius 1 foot at the top is full of water. Taking the density of the water to be 60 pounds per cubic foot, how much work in foot-pounds is required to pump all the water up and over the top of the tank
Answer:
Step-by-step explanation:
Height= 1 foot
Radius= 1 foot
Density= 60 pounds per cubic foot
Density = mass/ volume
Vol of cone= 1/3× 22/7 ×(radius^2)
=1/3×22/7×1×1
=22/21
Mass=volume × density
= 22/21 × 60
=440/7
Energy = mgh
= 440/7 ×10 × 1
= 628.57 foot pounds
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
A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Construct a 95% confidence interval for the mean difference between the before and after scores. Is there evidence to suggest the logic course improves abstract reasoning? You may assume that the differences for the dependent samples are normally distributed.
Before 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After 73, 77, 70, 77, 74, 67, 95, 83, 84, 75
Note : define d = before - after, then đ = 3.7 and s = 4.95
Answer:
The right answer is "[tex]0.2<\mu d<7.2[/tex]".
Step-by-step explanation:
The given values are:
[tex]\bar{x_0} = 3.7[/tex]
[tex]s_o=4.95[/tex]
[tex]t_{\frac{0.05}{2} }=2.2621[/tex]
As we know,
95% confidence for [tex]\mu_0[/tex] will be:
= [tex]\bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }[/tex]
The lower bound will be:
= [tex]3.7-2.2621\times \frac{4.95}{\sqrt{10} }[/tex]
= [tex]0.16\simeq 0.2[/tex]
The upper bound will be:
= [tex]3.7+2.2621\times \frac{4.95}{\sqrt{10} }[/tex]
= [tex]7.23\simeq7.2[/tex]
Thus the right answer is "[tex]0.2<\mu d<7.2[/tex]"
Find the multiplicative inverse of:
[tex]4 \times \frac{ - 7}{8} [/tex]
[tex] \frac{ - 5}{6} \times \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
first no answer=1/4*8/-7 =8/-28
second no answer=6/-5*7/2 =42/-10
evaluate this expression 5+3(8-2)
Answer:86 Step-by-step explanation:
Simplify: 3-2
A. -9
B. -6
C.1/9
D.1/6
Answer:
1/9
Step-by-step explanation:
3 ^ -2
The negative in the exponent means to bring it to the denominator
1/ 3^2
1/9
Answer:
C. 1/9
Step-by-step explanation:
PLEASE HELP!!
The domain of a function f(x) is x <_ 0, and the range is y <_-1. What are the domain and range of its inverse function, f-1(x)?
Answer:
Option D.
Step-by-step explanation:
Domain and range of inverse function:
The domain of the inverse function(x values) is the range(y values) of the original function.
The range of the interse function(y values) is the domain of the original function(x values).
Original function:
Domain: [tex]x \geq 0[/tex]
Range: [tex]y \leq -1[/tex]
Inverse function:
x values in the domain of the inverse function are the y values in the range of the original function. So
Domain: [tex]x \leq 1[/tex]
Same for range(exchange of y and x).
Range: [tex]y \geq 0[/tex]
The answer is given by option D.
A line representing Car B would have a parallel slope if:
Answer:
you add an image
Step-by-step explanation:
Answer:
... if it had the same slope in the y=mx+b equation where m is the slope and x is just x and b is the y-intercept
Step-by-step explanation:
say Car A had the equation y=2x+3- Car B would also have to have be y=2x but the y intercept could be any value
a square is 44 metre long its perimeter is
Answer:
Answer. = 176 m sq.
Step-by-step explanation:
Hope it helps you
Have a nice day
Josh says that -5/4 has the same quotient as 5/-4 Is this true or false?
True
False
PLEASE HELP I WILL MARK BRAINLIST
Answer:
the are would be 18
Step-by-step explanation:
bc 2x3=6 and then 4x3=12 so 12+6=18
Hey guys can u please help me asap
Oil from uncapped well is radiating
outward in the form of circular film
on the surface of the water. If the
radius of a circle is increasing at
the rate of 10 meters per minute,
how fast is the area of the oil film
growing in square meters per
minute at the instant when the
radius is 22 meters?
Answer:
Step-by-step explanation:
Area of the circle = 1400π
ie. πr^2 = 1400π . ie r^2 =1400. So r=10√14
Area A = πr^2.Differentiate w.r.t.t
dA/dt = 2πr. dr/dt
900 = 2×π×10√14 .dr/dt
So. dr/dt = 900/2×π×10√14 = 45/π√14 m/sec.
Hope this answer helps you :)
Have a great day
Mark brainliest
if teen romance had 20% in a circle graph and 4,000 books were signed out in the summer how many of them were teen romance
Answer:
800 Books were signed out
Step-by-step explanation:
20% of 4000 is 800
Hi there!
»»————- ★ ————-««
I believe your answer is:
800 books.
»»————- ★ ————-««
Here’s why:
As mentioned in the question, there are 4,000 books signed out during the summer.20% out of the 4,000 were teen romance books.⸻⸻⸻⸻
[tex]\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}[/tex]
⸻⸻⸻⸻
There should be 800 books that were teen romance.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
f(x) = –?
+ x
Find f(-1)
Answer:
Replace the variable x with −1
in the expression.
f(−1)=−(−1)²−1
Simplify −(−1)²−1.
Remove parentheses.
−(−1)²−1
Multiply −1 by (−1)²
by adding the exponents.
(−1)³−1
Raise −1 to the power of 3.
−1−1
Subtract 1 from −1.
−2
Step-by-step explanation:
Hope it's right
PLEASE HELP MEEEEEEE! JUSTIFY
Answer:
Step-by-step explanation:
a.12÷36/7=7/3
12*7/36
84/36
7/3
b.let the number be x
x*1/2=x/2
x*1/2
x/2
A- True
12÷36/7 = 2.333...
7/3 = 2.333....
Hence it's true
B- True
Consider Any random number eg 10
multiplying it by 1/2 gives 5
and dividing by 2 also gives 5
hence it's true.
C- False
3/2 = 1.5
multiplying it to any number will produce half of the number more.
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
Segment AB is a ____
Following are the introduced the accompanying observations on bond strength.
11.5 12.1 9.9 9.3 7.8 6.2 6.6 7.0 13.4 17.1 9.3 5.6 5.7 5.4 5.2 5.1 4.9 10.7
15.2 8.5 4.2 4.0 3.9 3.8 3.6 3.4 20.6 25.5 13.8 12.6 13.1 8.9 8.2 10.7 14.2
7.6 5.2 5.5 5.1 5.0 5.2 4.8 4.1 3.8 3.7 3.6 3.6 3.6
Required:
Estimate true average bond strength in a way that conveys information about precision and reliability.
Answer:
Average strength of bond = 8.08 (Approx.)
Step-by-step explanation:
Given data;
11.5 12.1 9.9 9.3 7.8 6.2 6.6 7.0 13.4 17.1 9.3 5.6 5.7 5.4 5.2 5.1 4.9 10.7 15.2 8.5 4.2 4.0 3.9 3.8 3.6 3.4 20.6 25.5 13.8 12.6 13.1 8.9 8.2 10.7 14.2 7.6 5.2 5.5 5.1 5.0 5.2 4.8 4.1 3.8 3.7 3.6 3.6 3.6
Find:
Average strength of bond
Computation:
Average mean = Sum of all observation / Number of observation
Average strength of bond = [11.5 + 12.1 + 9.9 + 9.3 + 7.8 + 6.2 + 6.6 + 7.0 + 13.4 + 17.1 + 9.3 + 5.6 + 5.7 + 5.4 + 5.2 + 5.1 + 4.9 + 10.7 + 15.2 + 8.5 + 4.2 + 4.0 + 3.9 + 3.8 + 3.6 + 3.4 + 20.6 + 25.5 + 13.8 + 12.6 + 13.1 + 8.9 + 8.2 + 10.7 + 14.2 + 7.6 + 5.2 + 5.5 + 5.1 + 5.0 + 5.2 + 4.8 + 4.1 + 3.8 + 3.7 + 3.6 + 3.6 + 3.6] / 48
Average strength of bond = [387.8] / 48
Average strength of bond = 8.0791
Average strength of bond = 8.08 (Approx.)
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answer:
2/5 :)
Step-by-step explanation:
58+2=60+25=85-25=60 60 = 2/5
The solution is 5/17
The probability that the next customer will pay with a debit card is given by the equation A = 5/17
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that the next customer will pay with a debit card be A
Now , the equation will be
The number of customers who paid cash last week = 58 customers
The number of customers who used debit card last week = 25 customers
The number of customers who used credit card last week = 2 customer
So ,
The total number of customers = 58 + 25 + 2
The total number of customers = 85 customers
Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers
Substituting the values in the equation , we get
Probability that the next customer will pay with a debit card A = 25 / 85
On simplifying the equation , we get
Probability that the next customer will pay with a debit card A = 5 / 17
Therefore , the value of A is 5/17
Hence , the probability is 5/17
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A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment? 1. Blue, Red 2. Blue 3. Red, Blue, Black 4. Red, Black
Answer:
Red and blue is the correct answer
Step-by-step explanation:
a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?
Step-by-step explanation:
Given that,
A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.
Let x represent the length of the sides of squares removed from each corner.
(a) The volume of a cuboid is given by :
V = lbh
Put values,
V = x(40-2x)(40-2x)
(b) (40-2x) = -2(x-20)
So,
V = x(40-2x)(40-2x)
= [tex]4x\left(x-20\right)^2[/tex]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
HELPP HELPPP ????pls
Answer:
B) the interquartile range of the data set is 2
Step-by-step explanation:
To find the interquartile range you have to subtract Q3-Q1. Which would be 3-1 and the answer is 2.
Hope this helped :)
One half of one tenth is what fraction?
Answer:
1/2 1/100
Step-by-step explanation:
One half of one tenth is [tex]\frac{1}{20}[/tex] fraction.
What is a fraction?A number that expresses parts of a whole object or a set of objects is known as a fraction.
Given
One half of one tenth
Rewriting in mathematical form
= [tex]\frac{1}{2} (\frac{1}{10} )[/tex]
= [tex]\frac{1}{20}[/tex]
Hence, One half of one tenth is [tex]\frac{1}{20}[/tex] fraction.
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NEED HELP ASAP OR NOW!!!
1. Which of the following statements best represents the graph?
A. After one month of service, the cost of internet is $45.
B. After 60 months of service, the cost of internet is $1.
C. After one months of service, the cost of internet is $60.
D. After 5 months of service, the cost of internet is $210.
PLEASE ALSO ANSWER THE QUESTION BELOW.
2. Which is the correct equation best reflects to the graph above on question 1?
A. Y = 90x
B. Y = 180x
C. Y = 45x
D. Both B and C

the perimeter of a rectangle is 90m. The length is three less than five times the width. What is the length and the width of the rectangle?
Answer:
length : 37 m
width : 8 m
Step-by-step explanation:
perimeter = 2×l(ength) + 2×w(idth) = 90
l = 5w - 3
=> 2×(5w-3) + 2w = 90
10w - 6 + 2w = 90
12w = 96
w = 8
=> l = 5w - 3 = 5×8 -3 = 40-3 = 37
How to solve x/7 = 7
Answer:
x = 49
Step-by-step explanation:
x/7 = 7
Multiply each side by 7
7* x/7 =7* 7
x = 49
Laurel used 12 1/2 Square feet of cloth to make three dresses how many square feet of cloth required to make 12 similar dresses?
Answer:
150 square feet
Step-by-step explanation:
12 1/2 * 12 = 150