Answer:
.7
Step-by-step explanation:
I'm going to assume you meant to write all that stuff once
The conditional probability formula is as follows : (B|A)=(A∩B)/A
We're told that the two probabliites are independent of each other which means that A∩B= A*B
Which means we have
(.31*.7)/(.31)
This should simplify to .7
*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer
Which characteristic does the graph display? A) Odd function
B) even function
C) neither even nor odd
Answer:
B is correct option
Step-by-step explanation:
The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.
Jessica's parents are always telling her to turn off the lights when she leaves her room. The fixture in Jessica's room requires four bulbs that each use 75 watts of
electricity when they're on.
a. Jessica's parents estimate that she leaves the lights on unnecessarily for 2.5 hours per day. How many watt-hours of electricity are used by these bulbs during 2.5
hours?
b. Approximately how many kilowatt-hours of electricity are used in a year to keep these bulbs lit for 2.5 hours per day?
C. At a cost of $0.12 per kilowatt-hour, how much money is wasted per year by keeping these lights on unnecessarily? Round to the nearest dollar.
d. If five million people keep lights on as Jessica does, how much is wasted in unnecessary electric expenses?
Answer:
Step-by-step explanation:
4*75 = 300 watts ( her light)
a) 2.5*300=750 w/h
b) 365*750 = 273.75 Kw/h
c) (0.12)*273.75 = $32.85
d) 32.85 * 5,000,000 = $164,250,000.00
Answer:
a.) 750
b.) 273.75
c.) $33.00
d.) $165,000,000.00
pls help i need the answer
Answer:
137
Step-by-step explanation:
Use the formula for exponential growth:
f(x) = a(1 + r)^x
In this formula, f(x) is the resulting number, in this case the number of fast food stores. a is the initial value, in this case 50. r is the growth rate, which they told you was 7%. And x is the number of time intervals, which is how many years between 1990 and 2005.
Substitute the known values into the equation:
f(x) = a(1 + r)^x
r is going to be 0.07 because the growth rate in the equation is the decimal form of 7%. x will be 15 because 2005-1990 = 15
f(x) = 50(1 + 0.07)^15
f(x) = 50(1.07)^15
Now just solve.
f(x) = 50(1.07)^15
First raise 1.07 to the 15th power.
f(x) = 50(2.75903154)
Then simplify.
f(x) = 137.951577
They want the approximate amount, so round it down to 137. The number actually rounds to 138, but he doesn't have a full 138 stores, so you use 137.
Miguel went shopping for a new phone. The sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?
Answer:
A 0.4 as the tax percent.
Step-by-step explanation:
To the nearest tenth, what is the length of QR
Answer:
|QR| = 17.6
Step-by-step explanation:
To answer this we need to show that the triangles are similar or to assume that they are similar.
Note the following:
1. The ratio of the longest sides is 12.5 to 25.0, or 1/2;
2. The ratio of the shortest sides is 5.2 to 10.4, or 1/2
Therefore the ratio of the longer legs is 8.8 to QR, also equal to 1/2
8.8 1
-------- = -----
QR 2
Cross-multiplying, we get |QR| = 17.6
Answer:
[tex] \displaystyle B )\overline{ \text{QR }}= 17.6 cm[/tex]
Step-by-step explanation:
we have two similar triangles
we want to figure out the measure of QR
remember that,
the ratio of the corresponding sides of two similar triangles is equal
thus,
[tex] \displaystyle \frac{8 .8}{QR} = \frac{5.2}{10.4} [/tex]
cross multiplication:
[tex] \displaystyle5.2 QR = 91.52[/tex]
divide both sides by 5.2:
[tex] \displaystyle \frac{5.2 QR }{5.2}= \frac{ 9 1.52}{5.2}[/tex]
simplify division:
[tex] \displaystyle QR = 17.6 cm[/tex]
hence, our answer is B
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
Answer:
3.33%
Step-by-step explanation:
math stuuf <3
-3×1/4-6 please help im losing my mind
Answer:
-45/4 or -11.25
I'm pretty sure this is right hope it helps
Answer:
Simplify the expression:
Exact form:
-27/4
Decimal form:
-6.75
Mixed number:
-6 3/4
Step-by-step explanation:
The / actually means to divided.
Find the circumference of the given circle. Round your answer to the nearest whole number.
Answer:
circumference = 31 inches
Step-by-step explanation:
using the Pythagorean theorem:
diameter² = 8² + 6² = 100
diameter = √100 = 10
circumference = 10 x 3.14 = 31.4 inches
Write 1012100 with a power of 10 with a single exponent using the appropriate exponent rule. Explain or show your reasoning.
Answer:
Step-by-step explanation:
Move the period 5 spaces to the left, and then write 1012100 as 1.0121*10^5.
Find KL pls fast correct answer
Answer:
14Step-by-step explanation:
According to intersecting secants theorem:
KL*JL = ML²Substitute values and solve for x:
(x - 1)(x - 1 + 7) = 12²(x - 1)(x + 6) = 144x² - 5x - 6 = 144x² - 5x - 150 = 0x² - 15x + 10x - 150 = 0x(x - 15) + 10(x - 15) = 0(x - 15)(x + 10) = 0x = 15x = -10 (ignored as negative)Find the value of Kl
KL = x - 1 = 15 - 1 = 1413. Each edge of a cube is the same length. What is the surface area of the 1
cube represented by the net shown?
Answer:
6 is the answer
Step-by-step explanation:
Example 1
Suppose you are playing a card game with a standard deck of playing cards and you are dealt four cards, one after another, from the top of the deck. Leave answers in percent form.
A. P(four aces)
B. P(four hearts)
C.P(four face cards)
Find the value of x.
If Malik purchases an iced coffee drink for $5.69 and leaves a $1 tip, what percentage did he tip?
Answer:
Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.
20 and 1/2 x 10 1/4 x 12
Answer:
2521.5
Step-by-step explanation:
20.5 · 10.25 · 12
2521.5
What is the area in square centimeters of the trapezoid below
Answer:
area = 1/2(a+b)h
a= 8.2 cm
b= 22.9 cm.
h= 9.8
therefore area = 77.91 sqcm
The area in square centimeters of the trapezoid below is 77.91 .
How to find the area of a trapezoid?The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).
Thus, if we have Length of its parallel sides = 'a' and 'b' units respectively
Perpendicular distance between its parallel sides = 'h' units,
Area = 1/2(a+b)h
a= 8.2 cm
b= 22.9 cm.
h= 9.8
Area = 1/2(8.2 + 22.9)9.8
therefore, area = 77.91 sqcm
Learn more about the area;
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A tree is 15 feet tall and casts a shadow of 9 feet. How long is the shadow of a tree 25 feet tall?
Answer:
The shadow is 15 feet long.
Step-by-step explanation:
This is a proportion question. Build a proportion using two fractions.
[tex]\frac{\text{tree height}}{\text{shadow length}}[/tex]
[tex]\frac{15}{9}=\frac{25}{x}[/tex]
"Cross-multiply" -- you might know this as the Means-Extremes Property of Proportions.
[tex]15x=(25)(9)\\15x=225\\x=15[/tex]
PLS HELP ASAP ILL MARK BRAINLIEST
Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Christian to end up with $1,000?
Answer:
r=5.86%
Step-by-step explanation:
The graph below shows the equation y=2x+4
2
In the space below, describe the effect on this graph if the equation were changed to y=3x+4
Answer:
C. the lines will be intersecting but neither parallel nor perpendicular
Step-by-step explanation:
changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0
y = 2x + 4
y = 2(0) + 4 = 4
y = 3x + 4
y = 3(0) + 4 = 4
Answer:
Step-by-step explanation:
If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.
an integer less than its opposite is
A. less than zero
B. zero
C. between zero and one
D. greater than one
Answer:
I think it's A
Step-by-step explanation:
Sorry if I'm wrong
Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.
A. 4 bags
B. 5 bags
C. 6 bags
D. 7 bags
Answer: C. 6 bags
Step-by-step explanation:
To solve this, you need to calculate the area of every shape in the garden and then sum them up.
Semi circle:
Area of semi-circle = (π * radius²) / 2
Radius = Diameter/ 2 = 18/2 = 9 feet
Area = (3.14 * 9²) / 2
= 127.17 ft²
Rectangle:
= Length * Width
= 18 * 8
= 144 ft²
Triangle
= 1/2 * base * height
= 1/2 * 18 * 18
= 162 ft²
Added up:
= 127.17 + 144 + 162
= 427.17 ft²
If each bag covers 75 ft² each, the number of bags needed is:
= Area to cover / Coverage per bag
= 427.17 / 75
= 5.7
= 6 bags
Help =10 point plus Brinsley thing fast
Answer:
20x + 5
all you really need to do is multiply the 4x and the 5. you just leave the + 5 alone
If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees
Answer:
[tex]\angle 2 =60[/tex]
[tex]\angle 3 = 60[/tex]
[tex]\angle 4 = 120[/tex]
[tex]\angle 5 = 120[/tex]
[tex]\angle 6 = 60[/tex]
[tex]\angle 7 = 60[/tex]
[tex]\angle 8 = 120[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 120^\circ[/tex]
See attachment
Required
Determine the other angles
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.
So;
[tex]\angle 1 + \angle 2 =180[/tex]
Make [tex]\angle 2[/tex] the subject
[tex]\angle 2 =180 - \angle 1[/tex]
[tex]\angle 2 =180 - 120[/tex]
[tex]\angle 2 =60[/tex]
[tex]\angle 1[/tex] , [tex]\angle 4[/tex], [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.
So;
[tex]\angle 4 =\angle 1 = 120[/tex]
[tex]\angle 5 =\angle 1 = 120[/tex]
[tex]\angle 8 =\angle 1 = 120[/tex]
Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex], [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.
So;
[tex]\angle 3 =\angle 2 = 60[/tex]
[tex]\angle 6 =\angle 2 = 60[/tex]
[tex]\angle 7 =\angle 2 = 60[/tex]
53. Renee brought $60 with her to an amusement park. If admission to the park costs $25 and
games cost $3 each to play, what is the GREATEST number of games Renee can play inside the
park?
a. 11
c. 3
b. 12
d. 2
Renee can play 11 different games.
What are arithmetic operations?The most fundamental operations in arithmetic are addition, subtraction, multiplication, and division. However, arithmetic also includes more complex operations like manipulating percentages, square roots, exponentiation, logarithmic functions, and even trigonometric functions, which are analogous to logarithms. Other examples of more complex operations include exponentiation. Arithmetic expressions must be evaluated in accordance with the intended order of operations.
Given total amount Renee have = $60
Cost for entry in park = $25
The amount left with Renee = 60 - 25
The amount left with Renee = $35
now cost for each game is $3
total no. of games can be played in $35 = [tex]\frac{ The amount left with Renee}{ cost for each game}[/tex]
35/3 = 11.667
Hence we only count integer digits which is 11; so Renee can play 11 different games.
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In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax
Answer: $826.8
Step-by-step explanation:
First, we add the amount of money that the machines sold for:
$420 + $360 = $780
Next, we multiply it by the sales tax, 6%,
$780 x 6%(0.06) = $46.80
Finally, we add this to the total:
$780 + $46.80 = $826.80
Alternatively, you can add the total sales and multiply by 106% using the 2-step method.
Answer:
In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax
13.
Find the volume of the trapezoidal prism below. Hint: The formula for the area of a
trapezoid is A 2 (b, I b)h.
6 cm
5 cm
12 cm
7.5 cm
А
450 cm
B
900 cm
С
270 cm
Answer:
A is the correct answer 450 cm
Step-by-step explanation:
area of base = 1/2 (7.5+ 5) × 6 = 37.5
volume = area × height
= 37.5 × 12
= 450cm³
I need help ASAP plz answer
Answer:
The answer is A
Step-by-step explanation:
common denominator is 15
5×2=10
3×4=12
10+12=22
22/15
hope it helps :)
choose all the equations for which X = 1/2 is a solution
C, D,E
Step-by-step explanation:
4x=2
4+x=4 1/2
16x=8
Angle ABC and angle CBD or a complementary what is the value of X
Answer:
26degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, Angle ABC and angle CBD are complementary hence;
<ABC + <CBD = 90
Given
<ABC = 2x
<CBD = 38
Substitute
2x + 38 = 90
2x = 90 - 38
2x = 52
x = 52/2
x = 26degrees
Hence the value of x is 26degrees