As an approximate decimal, this is 0.5556 which converts to 55.56%
======================================================
Explanation:
Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.
We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.
The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.
----------------
You could also compute 0.50/0.90 to get the same answer.
Calculate the area of triangle RST. a = 38.
Answer:
722 √(3) square units
Step-by-step explanation:
Mathematically, the area of a triangle is 1/2 * b * h
But in this question, we have the base which is a while the height is absent
We can use trigonometric ratios since we are given the angle to find the value of the height.
Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent
Mathematically;
Tan 60 = h/a
where h represents the height which we want to calculate
h = a tan 60
But tan 60 = √(3)
So h = a √(3)
Now the area of the triangle will be;
A = 1/2 * a * a √(3)
But a has a value of 38 units.
Substituting this value, we have ;
A = 1/2 * 38 * 38 √(3)
A = 19 * 38√(3)
A = 722 √(3) square units
Determine the equation for the total cost of snow tubing, the rest of the chart:
8 . 20
10 . 25
PLEASE HELP ASAP!!! *grade 9 work* best answer gets brainliest :)
Step-by-step explanation:
Notice how you get the same value each time when you divide the cost by the number of downhill rides
5/2 = 2.5 10/4 = 2.5 15/6 = 2.5Moreover when the downhill rides grow by 2 the total cost grows by 5
so we can state :
n+2 ⇒c+50+2 ⇒ 0+5 0+6 ⇒0+ (3*3)To complet the chart we can use the proportionaliyu relation:
2⇒520⇒ Cc = [tex]\frac{20*5}{2}[/tex]= 50so 20 goes with 50
same method:
2⇒525⇒ C C = [tex]\frac{25*5}{2}[/tex] =62.5so 25 goes with 62.5
Solve x4 – 17x2 + 16 = 0. Let u = .
To solve the equation, we need to let u = x²
What is a quadratic equation?A quadratic equation is an algebraic expression that takes the power of the second degree.
From the given parameter:
x⁴ - 17x² + 16 = 0For us to be able to solve the given equation, we need to reduce the equation to a quadratic form.
This can be achieved by making an assumption that:
u = x²So, we will replace x² with u in the given equation.
By doing so, we have:
u² - 17u + 16 = 0Learn more about quadratic equations here:
https://brainly.com/question/1214333
Answer: Solve x4 – 17x2 + 16 = 0.Let u = xX 17x²✔ x²X -17x².
let u = x^2
Step-by-step explanation: just did it
Dora can plant 150 flowers in the same time it takes charlie to plant 120 flowers. Also Dora can plant 18 flowers more per day than charlie. How many flowers can Charlie plant per day?
Answer:
Number of flowers planted planted by Charlie per day = 72
Step-by-step explanation:
Given:
Dora can plant 150 flowers and Charlie plants 120 flowers in same time.
Dora can plant 18 flowers more per day than that of Charlie.
To find:
Flowers that can be planted by Charlie per day = ?
Solution:
Let the time taken by Dora to plant 150 flowers = T days
So, T will be the time taken by Charlie to plant 120 flowers.
Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days
Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]
Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days
Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]
As per condition given:
[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]
Solving the above equation by taking LCM:
[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]
Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]
So, answer is:
Number of flowers planted planted by Charlie per day = 72
What is the least number of colors you need to correctly color in the sections of the pictures so that no two touching sections are the same color?
Answer:
2
Step-by-step explanation:
Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.
what is the slope of a line parallel to the line whose equation is 3x-3y=-45
Answer:
The slope is 1Step-by-step explanation:
To find the slope first write the equation in the form
y = mx + c
where m is the slope
c is the y intercept
3x - 3y = -45
3y = 3x + 45
Divide both sides by 3
y = 3/3x + 45/3
y = x + 15
From the equation the slope = 1
Parallel lines have equal slope
So
The line parallel to the above line is also
1
Hope this helps you
The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?
Answer:
The speed V = 194.03 mph
Direction = 3.6° northeast
Step-by-step explanation:
The distance of the trip = 291 miles
The direction of flight = 9.1 degrees northeast
Speed of the prevailing wind = 25 mph
Direction of wing = southeast = 45 degrees South of East
The speed heading to Ivy Cliffs = V₁
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45)) × t₂ = 291 miles
t₁ + t₂ = 3 hours
(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i
The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)
Also on the return trip we have;
V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)
Subtracting equation (2) from (1) gives;
58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)
V = 291²×(6·t-9)/(t²·(t-3)²)/58.64
Substituting the value of V in (2) with a graphing calculator gives;
t₁= 1.612 or 1.387
Given that magnitude of the speed going > return = V² for t₁ < t₂
t₁ = 1.387, t₂ = 1.612
From V²+29.32·V +625= 291²/t₁², we have
V²+29.32·V +625= 291²/1.387²
Which gives
V²+29.32·V -43336.5 = 0
(V + 233.35)(V-194.03) = 0
V = -233.35 mph or V = 194.03 mph
Given that V is a natural number, we have, V = 194.03 mph.
The direction is given by the relation;
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387
13j + 209.27i = 208.81 mph
The angle tan θ = 13/209 = 0.00622
θ = tan⁻¹(13/209.27) = 3.6°.
A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?
Answer:
Height is 5.3 inches.
Step-by-step explanation:
2* base + 2*height = 35.8
2*12.6 + 2h = 35.8
h = (35.8 - 2(12.6) / 2
= (35.8 - 25.2) /2
= 10.6 / 2
= 5.3 inches.
Answer:
5.3inStep-by-step explanation:
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
l - length
w - width
We have
[tex]P=35.8in\\l=12.6in[/tex]
Substitute:
[tex]35.8=2(12.6+w)[/tex] divide both sides by 2
[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]
[tex]17.9=12.6+w[/tex] subtract 12.6 from both sides
[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 634" by 412" on the drawing, how large is the bedroom?
and the answer should be 18 x 27. The answers were reversed.
Step-by-step explanation:
basically you can do (6x4) + 3 = 27
and (4x4) + 2 = 18.
A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,
1/4" = 1'
1" = 4'
Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,
634" = 634 × 4' = 2536'
412" = 412× 4' = 1648'
Hence, the real size of the bedroom is 2536' by 1648'.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ2
Juan uses 0.1 pound of flour to make a batch of cookies. Exactly how many batches of cookies can he make with 3.75 pounds of flour?
Answer:
37.5
Step-by-step explanation:
0.1 pound for one batch of cookies
3.75 pound for x batches of cookies
3.75/0.1=x
he can make 37.5 batches of cookies
If the measure of ∠1 is 50°, what is the measure of ∠8?
Hey there! :)
Answer:
Measure of ∠8 is 130°.
Step-by-step explanation:
We can solve for ∠8 in multiple steps:
∠1 = 50°
∠5 = 50° due to corresponding angles being equivalent
180° - m∠5 = m∠8 due to supplementary angles
180° - 50° = m∠8 = 130°
Therefore, the measure of ∠8 is 130°.
Answer: The measure of angle 8 is 130 degrees.
Step-by-step explanation:
Angle 8 and angle 4 has the same measures. The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and 8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.
Use the equation
50 + x =180 solve for x
-50 -50
x = 130
This means angle 8 is 130 degrees .
If you flip a coin three times in the air, what is the probability that tails lands up all three times? A. 1/2 B. 1/8 C. 1/4 D. 1/6
Answer: A) 1/2
Step-by-step explanation:
Answer:
If you flip a coin three times in the air, what is the probability that tails lands up all three times?
Step-by-step explanation:
1/2
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
solve for e.
0.75(8 + e) = 2 - 1.25e
Answer:
e = -2
Step-by-step explanation:
Well to solve for e in the following equation,
.75(8 + e) = 2 - 1.25e
We need to distribute and use the communicative property to find e.
6 + .75e = 2 - 1.25e
-2 to both sides
4 + .75e = -1.25e
-.75 to both sides
4 = -2e
-2 to both sides
e = -2
Thus,
e is -2.
Hope this helps :)
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Greetings from Brasil...
If we have a translation for left/right, we have to use the expression:
F(X ± C)
if F(X + C), so the function shifted C units to the left
if F(X - C), so the function shifted C units to the right
Bringing to our problem
G(X) = F(X + C)
F(X) = 2X - 1
G(X) = F(X + 7) = 2.(X + 7) - 1
G(X) = F(X + 7) = 2X + 14 - 1
G(X) = F(X + 7) = 2X + 13
G(X) = 2X + 13Pencils are sold in boxes of 10 Erasers are sold in boxes of 14 A teacher wants to buy the same number of pencils and erasers work out the smallest number of boxes of each item she should buy
Answer:
7 boxes of pencils and 5 boxes of erasers.
Step-by-step explanation:
The least common denominator of these two numbers are 70. 7×10 and 14×5. So she is purchasing the same quantity of both.
changing fraction to percentage
Answer:
Hello There!
`~~~~~~~~~~~~~~~~~~`
You added no fraction so i thought you wanted the definition
Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.
Hope this helped you. Brainliest wouldbe nice!
Three years after a company was founded, its assets were $11,283,500. Ten years after being founded, its assets had grown to $21,794,600. During that period of time, at what rate did the company's assets grow per year?
Answer:
$1,051,110Step-by-step explanation:
Given
Step one:
Company's initial asset value = $11,283,500
Company's final asset value = $21,794,600
Step two
we can calculate the company's asset appreciation after 10 years as
$21,794,600- $11,283,500= $10,511,100
Step three
Hence, the growth rate of the company's asset value per year can be expressed as = $10,511,100/10= $1,051,110
Solve the inequality. 6(b – 4) > 30 b > 34 b > 5 b 9
Answer:
b > 9
Step-by-step explanation:
6(b – 4) > 30
Divide each side by 6
6/6(b – 4) > 30/6
b-4 > 5
Add 4 to each side
b-4+4 > 5+4
b > 9
Answer:
[tex]\boxed{b > 9}[/tex]
Step-by-step explanation:
[tex]6(b-4) > 30[/tex]
Resolving Parenthesis
6b - 24 > 30
Adding 24 to both sides
6b > 30+24
6b > 54
Dividing both sides by 6
b > 9
what are the lengths for x and y
Answer:
They are both equal to 7.07
Step-by-step explanation:
Using SohCahToa to find x you use the opposite and the hypotenuse if you use the 45 degree angle.
Now you use sin(45)=x/10
x=7.07
Now using SohCahToa to find y you use hypotenuse and adjacent, if using the 45 degree angle.
Now you use cos(45)=y/10
y=7.07
Answer: side y=7.1
side x= 7.1
Step-by-step explanation:
[tex]sin(45)=\frac{x}{10}[/tex]
[tex]x=7.07...[/tex]
[tex]cos(45)=\frac{y}{10}[/tex]
[tex]y=7.07...[/tex]
How to do this question plzzz
Hi king,
Let's split it into two prisms.
1st prisim volume:[tex]V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}[/tex]
2nd prisim volume:[tex]V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}[/tex]
The prism in the picture:
[tex]V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}[/tex]
Have a good day.
What is 651 minus -13? Please with explanation.
Answer:
664
Step-by-step explanation:
651 - - 13
Negative times negative is positive.
651 + 13
Add.
664
Answer:
664
Step-by-step explanation:
651 - (-13)
Do the keep , change , change method
So , it will be :
651 + 13 = 664
Hope this helps and plsss plss amrl as brianliest and THNXX :)
write the recurring decimal 0,101010101... . as a fraction in its simplest form.
Answer:
[tex]\frac{10}{99}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{10}{99}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating decimal after the decimal point.
let x = 0.10101.... → (1)
Multiply both sides by 100
100x = 10.10101.... → (2)
Subtracting (1) from (2) eliminates the repeating decimal, thus
99x = 10 ( divide both sides by 99 )
x = [tex]\frac{10}{99}[/tex]
ASAP! I need help, and please do not send nonsense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
Answer:
C. all whole numbers
Step-by-step explanation:
Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.
Hence, the annual income can only be whole numbers
Answer:
c
Step-by-step explanation:
Please help! I need help with this question!
Explanation:
The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:
∆BCA ≅ ∆ECD
BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)
what is the slope of y =2x-1
Answer:
The slope m = 2Step-by-step explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
We have the equation:
y = 2x - 1 → m = 2, b = -1
Answer:
The slope of this equation is 2.
Step-by-step explanation:
In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.
So y=mx+b -> y=2x+b -> 2=m, b=-1
What true bearing is WSW equivalent to?
Answer:
S 67.50° W
Step-by-step explanation:
can someone please helppp
Answer:
D
Step-by-step explanation:
The range is the values of y the graph covers
The minimum value of y is - 9 and the maximum value is 5, thus
- 9 ≤ y ≤ 5 is the range → D
Answer:
[tex]\boxed{-9\leq y\leq 5}[/tex]
Step-by-step explanation:
The range is the set of possible y values, which are shown on the y-axis.
The minimum value of y on the graph is -9.
The maximum value of y on the graph is 5.
The set of possible output values (y) are equal to or greater than -9 and less than or equal to 5.
Please help.. I'm really confused tbh
X axis is the horizontal axis and y is the vertical.
On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.
Quadrant 2 is upper left, which is negative x and positive y.
Quandrant 3 is lower left, which is negative x and y.
Quadrant 4 is lower right, which is positive x and negative y.
X< 0 is negative and y > 0 is positive.
This matches quadrant 2
The answer is B.
look at the pattern below.How should the tird shape be labeled
Answer:
You havent showed us the pattern