Answer:
The four rational numbers between [tex]-\frac{1}{2}[/tex] and [tex]\frac{1}{2}[/tex] can be:
[tex]-\frac{1}{3}[/tex][tex]-\frac{1}{4}[/tex][tex]\frac{1}{5}[/tex][tex]\frac{1}{7}[/tex]Step-by-step explanation:
The definition of rational numbers is usually a number of the type a/b where b is different from zero, therefore, to choose the numbers that are between -1/2 (= -0.5) and 1/2 (= 0.5) it is enough with choose fractional numbers whose dividend is 1 and its divisor is any number greater than 2, either negative or positive, in the answer we choose options such as 1/7 or -1/3, but following the guide I give you, you could choose numbers like 1/16, -1/9 or 1/40 if you wish, always respecting the guidelines given for the dividend and the divisor.
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain and the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answer:
it would be 0.7 got it right when i done it
Step-by-step explanation:
Answer: real answer is 0.278
Step-by-step explanation:
-42+(-17) simplified
Answer:
La respuesta es
Step-by-step explanation:
-42+(-17)=. - 59
Espero ayudarte suerte
Hi there!
»»————- ★ ————-««
I believe your answer is:
-59
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
7. Lin is saving $300 per year in an account that pays 15% interest per year,
compounded annually. About how much money will she have 20 years after she
started?
A. $545.45
B. $3,748.78
C. $9,411.43
D. $1,124,634,54
Answer:
c
Step-by-step explanation:
to much working out but just as a summary section of working out
3*15=45
300+45=$345(1st year)
345+300=645
6.45*15=96.75
645+96.75=$741.75(2nd year)
keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)
The total money with Lin after 20 years will be $4910.
What is the formula to calculate compound interest?The formula for compound interest -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.
We can write the total money with Lin after 20 years as -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
A = 300(1 + 0.15/1)²⁰
A = 300(1 + 0.15)²⁰
A = 300 x (1.15)²⁰
A = 300 x 16.37
A = 4910
Therefore, the total money with Lin after 20 years will be $4910.
To solve more questions on compound interest, visit the link below -
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Which represents the table ?
Answer:
b
Step-by-step explanation:
dfghdfhjdfjdfj
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.
==========================================================
Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
-------
Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
-------
Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
What is the degree of the following polynomial? 11x ^ 5 * y - 7x ^ 4 * y - 2y
the degree of the following polynomial : (6)
Will give as the best answer
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
Carrie is comparing the growth of plants under natural and artificial light sources.
Part A
Use the measures of center from the box plots to make an inference about the data.
Part B
Use the box plots to make an inference using the variability of the data.
Answer:
Median :
P = 2 ; Q = 3.5
Variability :
P = 1.5 ; Q = 1.5
Step-by-step explanation:
The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;
For Group P:
Median = 2 inches
For Group Q :
Median = 3.5 inches
To infer the variability :
We calculate the interquartile range (IQR) :
IQR = Q3 - Q1
Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot
Locate QI and Q3
Group P:
IQR = Q3 - Q1 = 3 - 1.5 = 1.5
Group Q :
IQR = Q3 - Q1 = 4.5 - 3 = 1.5
Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802
Answer:
D. 125%
Step-by-step explanation:
First day = 80 responses
Second day = 180 responses
Increase in responses = 180 - 80
= 100 responses
what percent is the increase 100 of the original number of responses 80
= Increase in responses / original number of responses × 100
= 100/80 × 100
= 1.25 × 100
= 125%
The percent increase 100 of the original number of responses 80 = 125%
Calculate the length of side AC:
Answer:
146⁰ + x = 180
x = 34⁰ is AC ..a..a.
What is the area of this trapezium
Answer:
66.5cm²
Step-by-step explanation:
Area of trapezium = [tex]\frac{1}{2}[/tex] (sum of parallel sides) × height
Let parallel side 1 = 12cm
parallel side 2 = 7cm
height = 7cm
Area = [tex]\frac{12 + 7}{2}[/tex] × 7 = 66.5cm²
Which of the following is an arithmetic sequence?
O A. 5, -5, 5, -5, ...
O B. 3, 0, -3, -6, ...
O C. 2, 3, 7, 1, ..
O D. 2, 4, 16, 32, ...
Answer:
B
Step-by-step explanation:
In an artihmetic sequence, there is a constant difference between two consecutive terms.
So for instance:
[tex]-6 -(-3) = -3[/tex]
[tex]-3 -0 = -3[/tex]
[tex]0 - 3 = -3[/tex]
As you can see there is a difference of [tex]-3[/tex] from one term to the next
____________________________
You can also find the constant difference the other way around, for instance
[tex]3-0=3[/tex]
[tex]0-(-3) = 3[/tex]
[tex]-3-(-6) = 3[/tex]
In this example, you can see that each term is [tex]3[/tex] higher than the previous term
I hope this helps!!
Please I need help with this math homework ASAP thank you!
Answer:
4
[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]
A trapezoid has 21 inches base and 5.3 inches base, as well as 39 inches height. What is the area?
Answer:
It is 512.85
Step-by-step explanation:
A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85
It is 512.85
21*5.3*39=512.85
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 2 = 0
Answer:
55
Step-by-step explanation:
The values of the x are -6.59, and -9.42 if the quadratic equation is (x + 8)² - 2 = 0.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Solve for x.
Enter the solutions from least to greatest. Round to two decimal places.
(x + 8)² - 2 = 0
It is given:
(x + 8)² - 2 = 0
Using (a + b)² = a² + 2ab + b²
x² + 16x + 64 - 2 = 0
x² + 16x + 62 = 0
Compare with the standard form of the equation:
a = 1
b = 16
c = 62
Plug the above values in the formula:
[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]
x = [-16 ±√8]/2
x = [-16 ±2.83]/2
Take + sign:
x = [-16 + 2.83]/2
x = -6.59
Take - sign:
x = [-16 - 2.83]/2
x = -9.42
Thus, the values of the x are -9.42, and -6.59 if the quadratic equation is (x + 8)² - 2 = 0.
Learn more about quadratic equations here:
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What is the remainder when 19x^2 +14x +12 is divided by x-2?
Answer:
116
Step-by-step explanation:
x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate
which function is graphed?
Step-by-step explanation:
hello it's B)
v ::::: ok
.
.
.
.
.v:
The circumference of a circle can be found using the formula C = 2r.
Which is an equivalent equation solved for r?
r = C
r = C(2)
r = r equals StartFraction C Over 2 pi EndFraction.
r = r equals StartFraction 2 pi Over C EndFraction.
Answer:
r = C/(2π)
Step-by-step explanation:
C = 2πr
Divide both sides by 2π
C/(2π) = r
r = C/(2π)
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the circumference C = 2πr, lets make radius r the subject of the formula.
C = 2πr
Divide both sides by 2π
C/2π = 2πr/2π
C/2π = r
r = C/2π
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r = start fraction C over 2 pi end fraction is the correct answer.
Learn more about circles here: brainly.com/question/11952845
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The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8
9
9.5
7.5
4
From the given figure,write the corresponding angle of puv
Answer: RVN
Step-by-step explanation:
Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
By that - the bottom angle RVN can be an example of corresponding angles.
Please give brainliest!
Answer:
∠ RVN
Step-by-step explanation:
∠ PUV and ∠ RVN are corresponding angles.
Each is in the same position (lower left hand corner ) in its group of 4 angles.
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
there are 4 groups of 3
Step-by-step explanation:
12 ÷ 3 = 4
answer : 4
Step-by-step explanation:
12 = 3 + 3 + 3 + 3 there are 4 groups of 3
(-26)x(-41)
evaluate the following equation.
help me please
Answer:
[tex]1066[/tex]
Step-by-step explanation:
[tex]( - 26) \times ( - 41)[/tex]
[tex]26 - 41[/tex]
[tex]1066[/tex]
Hope it is helpful....
A person 5.5ft tall casts a shadow that is 6ft long. At the same time of day a
lamppost cast an 18ft shadow. How tall is the lampost?
17.5 feet
16.5 feet
1.83 fee
15,5 feet
Identify each situation as a permutation or a combination.
1. choosing friends to invite to a party
2. choosing your top 10 favorite actors
Answer:
1. Combination
2. Permutation
Step-by-step explanation:
Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).
1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).
2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.
A member has a monthly membership for $480 per month. They also have a 25% discount on top of the monthly price and have paid for 1 month of service to date. In an attempt to retain the member, you offer a 40% discount instead. With the new discount and since the member already paid for a month of service, you will need to provide a refund for the difference. How much would you refund for the month already paid?
Answer:
$72
Step-by-step explanation:
For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.
480 x .4 = 192
40% of $480 is $192. The next step is to find the difference between $192 and $120.
192 - 120 = 72
Therefore, you need to give them of refund of $72.
Mrs. Smith wants to purchase table pads for her circular dining room table. If the table has a diameter of 3 feet and the pads cost 50 cents per square foot, approximately how much will the table pads cost? Use 3.14 for
Answer:3.53
Step-by-step explanation:
I found it on a quiz game got it right
What is the area of the triangle below?
3 18
A. 27 sq. units
B. 18 sq. units
C. 21 sq. units
D. 54 sq. units
Helppppp ASAP please
Answer:
A. 27 sq. units
Step-by-step explanation:
A = 1/2 · b · h
A = 1/2 · 3 · 18
A = 1/2 · 54
A = 27 sq. units
Answer:A-27
Step-by-step explanation:
A=1/2 18*3=27
If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches
B is 4 inches i think
hope that helps
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter