Answer:
$1.25
Step-by-step explanation:$50 ÷ 40 minutes = $1.25 per minute
needed to be changes into standard form
y = 5(x - 4)2 + 7.
Answer:
y = 5x - 13
Step-by-step explanation:
y=5x-20+7
y = 5x - 13
you are tossing a pair of fair, six-sided dice in a board game. tosses are independent. you land in a danger zone that requires you to roll doubles (both faces showing the same number of spots) before you are allowed to play again. how long will you wait to play again?
The probability that you do not roll doubles on the first toss, but you do on the second toss = 13.89%.
How does probability work?Chance is the study of numerical representations of the probability that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 1 generally signifying certainty and 0 generally signifying impossibility.
According to the given data:The chances of rolling doubles are 6 out of 36.
The probability is equal to the number of likely outcomes divided by the total number of outcomes:
According to complement rule:
P( not A)=1−P(A)
Then we obtain:
P( not doubles) = 1 - (1/6)
= (5/6)
Using Multiplication rule:
P(A∩B)=P(A)×P(B)
Then we obtain:
P(Doubles on second toss) = P( not doubles)×P( doubles)
= (5/6) * (1/6)
= \(\frac{5}{36}\)
= 13.89%
The probability that you do not roll doubles on the first toss, but you do on the second toss = 13.89%.
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I understand that the question you are looking for is:
You are tossing a pair of fair, six-sided dice in a board game. Tosses are independent. You land in a danger zone that requires you to roll doubles (both faces showing the same number of spots) before you are allowed to play again. How long will you wait to play again? What is the probability that you do not roll doubles on the first toss, but you do on the second toss?
What is the slope of (-9,4) (-12,8)?
Answer: -5/3
Step-by-step explanation:
Answer: m = -4/3
Step-by-step explanation:
If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .
X 3.2.603
Question Help
Thomas needs to earn a C in his Physics class. His current test scores are 66, 66, 74, and 78. His final exam is worth 4 test scores. In order to earn a C, Thomas's
average must lie between 70 and 79 inclusive. What range of scores can Thomas receive on the final exam to earn a C in the course?
Answer:
sorry dear I did not understandfind angle depression lighthouse 112m above sea level to boat that is at horizontal distance 1.5km from lighthouse
Answer:
4
Step-by-step explanation:
420km
Use the postage rates given in Table 10.4 to find the total cost of posting two parcels of mass 550 g and 1.4 kg within Nigeria. If both parcels are to the same person, fin the saving if only one parcel is sent.
The total cost of posting two parcels of mass 550g and 1.4kg within Nigeria is ₦2500, and the potential saving if only one parcel is sent depends on the specific postage cost of the single parcel, which is not provided.
To find the total cost of posting two parcels of different masses within Nigeria, we need to refer to Table 10.4, which provides the postage rates.
Let's assume that the postage rates in Table 10.4 are as follows:
For parcels weighing less than or equal to 500g, the postage cost is ₦500.
For parcels weighing more than 500g but less than or equal to 1kg, the postage cost is ₦1000.
For parcels weighing more than 1kg, the postage cost is ₦2000.
Parcel 1 has a mass of 550g, which falls under the category of parcels weighing less than or equal to 500g. Therefore, the postage cost for Parcel 1 is ₦500.
Parcel 2 has a mass of 1.4kg, which falls under the category of parcels weighing more than 1kg.
Therefore, the postage cost for Parcel 2 is ₦2000.
To find the total cost of posting both parcels, we add the postage costs of Parcel 1 and Parcel 2:
Total Cost = ₦500 + ₦2000 = ₦2500.
If only one parcel is sent, we can calculate the saving by subtracting the postage cost of the single parcel from the total cost of posting both parcels:
Saving = Total Cost - Postage Cost of Single Parcel.
However, the postage cost of the single parcel is not provided in the question, so we cannot determine the exact saving without that information.
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Let X be a normal random variable with mean 11 and standard deviation 2 . Draw the region and find: (a) Find P(7
The probabilities are as follows: (a) P(7 < X < 14) ≈ 0.7745, (b) P(8 < X < 10) ≈ 0.1292. Additionally, if P(X < k) = 0.67, then k ≈ 11.86.
(a) The probability that X falls between 7 and 14 can be found by calculating the area under the normal distribution curve within that range. Given that X is a normal random variable with a mean of 11 and a standard deviation of 2, we can use the standard normal distribution to find this probability.
To find P(7 < X < 14), we first convert the values to standard units using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation. Substituting the values, we have z1 = (7 - 11) / 2 = -2 and z2 = (14 - 11) / 2 = 1.5.
Using a standard normal distribution table or a calculator, we can find the corresponding probabilities for these z-values. P(-2 < Z < 1.5) is approximately 0.7745. Therefore, the probability that X falls between 7 and 14 is approximately 0.7745.
(b) To find P(8 < X < 10), we again convert the values to standard units. For 8, we have z1 = (8 - 11) / 2 = -1.5, and for 10, we have z2 = (10 - 11) / 2 = -0.5.
Using the standard normal distribution table or a calculator, we find P(-1.5 < Z < -0.5) is approximately 0.1292. Hence, the probability that X falls between 8 and 10 is approximately 0.1292.
(c) Given that P(X < k) = 0.67, we need to find the corresponding z-value for this probability. Using the standard normal distribution table or a calculator, we can find the z-value associated with a cumulative probability of 0.67, which is approximately 0.43.
To determine the corresponding value of X, we use the formula z = (x - μ) / σ and rearrange it to solve for x. Substituting the known values, we have 0.43 = (k - 11) / 2. Solving for k, we find k = (0.43 * 2) + 11 = 11.86.
Therefore, k is approximately equal to 11.86.
In summary, the probabilities are as follows:
(a) P(7 < X < 14) ≈ 0.7745
(b) P(8 < X < 10) ≈ 0.1292
(c) k ≈ 11.86
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Let X be a normal random variable with mean 11 and standard deviation 2. Draw the region and find:
a) Find P(7 < X < 14)
b) Find P(8 < X < 10)
c) If (P(X < k) = 0.67, determine k.
What is the volume of the following rectangular prism?
Answer:
Religion: There were temples and the worship of many gods. Animal sacrifices and complex rituals made some people feel disconnected from Hinduism. Religious beliefs were spread through trade.
Intellectual:
Technology: Gupta metal workers built a huge wrought-iron pillar. Indian doctors practiced Ayurvedic medicine. They could set bones and perform simple surgeries. They also began vaccinating people against smallpox.
Economy:
Buddhism & the Mauryans
Social:
Political: In 321 BCE, Chandragupta Maurya took over the former Magadha kingdom. It became the center of the Mauryan Empire. His government was a highly organized bureaucracy. He worked his way westward to the Indus Valley. The third emperor, Asoka, brought all of India, except the far south, into the empire. He used military strategy to rule.
Religion:
Intellectual: Buddha's teachings and the Four Noble Truths were passed down through oral tradition. Buddhists meditate to find their own truths. Asoka placed stone pillars providing moral guidance all over India (Edicts of Asoka.)
Technology:
Economy: Roads and harbors were built to help trade grow. Royal officials collected taxes.
Step-by-step explanation:
F(x)=2x+4 translation 7 units left
F(x - 7)=2x - 10
Step-by-step explanation:
F(x)=2x+4 translation 7 units left is given as:
\(F(x - 7)=2(x - 7)+4 \\ \\ F(x - 7)=2x - 14+4 \\ \\ \purple{ \boxed{F(x - 7)=2x - 10 }} \\ \\ \)
In the community park, there are 7 oak trees and 4 maple trees. Which ratios show the number of oak trees to the number of maple trees
There are 7 oak trees and 4 maple trees in the community park, so the ratio of oak trees to maple trees can be written as 7:4.
What is ratio?
A ratio is a way of comparing two or more quantities. It is a way of expressing the relationship between two numbers in terms of their size. A ratio can be written in different ways, such as in the form of a fraction, as a decimal, or as a whole number.
We can also write the ratio in different ways, such as:
7/4 = 1.75 oak trees for every 1 maple tree
35:20 = 35 oak trees for every 20 maple trees
14:8 = 14 oak trees for every 8 maple trees
All of these ratios represent the same proportion, which is 7 oak trees to 4 maple trees.
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Emma bought two televisions at 2500 cedis each. One got slightly damaged during transportation. He sold the undamaged one at 3000 cedis and sold the damaged one at 2200 cedis. Calculate the percentage profit made by Emma.
Answer:
90%
Step-by-step explanation:
cost price of both tv = 2500
sale price of undamaged = 3000
sale price of damaged = 2200
sale price of both tv = 5200
profit = sale price - cost price
profit = 5200 - 2500
profit = 2700
profit percentage = profit × 100 ÷ cost price
profit percentage = 2700 × 100 ÷ 2500
profit percentage = 90%
Hannah is flying a kite with a trying that is 60 feet long. If Patricia is standing directly below the kite and 16 feet away from hannah, what angle does the string make with the sand? (Use extra ratio)
Answer:
74.5°
Step-by-step explanation:
Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.
Let the angle between the string and the sand be Ф.
By trigonometric ratios,
cosФ = adjacent/hypotenuse
= d/L
= 16 feet/60 feet
= 0.2667
Ф = cos⁻¹(0.2667)
= 74.53°
≅ 74.5°
So, he angle between the string and the sand is Ф = 74.5°
Please help in math!! (Question in picture) (question 1 and 2 please)
Hey there mate :)
As per question,
Given that Nicole made:-
\(5 {x}^{3} - 13x^{2} - 20x + 800\)
And she packed:-
\((x - 5)\)
1. The number of boxes can be obtained as the quotient when 5x^3-13x^2-20x+800 divided by x-5.
(The division part is attached as image. Check it)
Thus the number of boxes is 5x^2+12x+40
2) The number of cupcakes left unpacked is equal to the remainder when 5x^3-13x^2-20x+800 divided by x-5.
Thus, the number of cakes left and unpacked is 1000
A local ga tation i offering a deal to their cutomer. If they purchae $8. 00 car wah, the cot per gallon of ga i $2. 60. Write and olve a linear equation to find how many gallon you can afford if you have $40
Answer ; x = 12.3 gallons , A linear equation has the slope-intercept form y = mx + b.
Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).
Ax+By=C is the usual form for two-variable linear equations. A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y).
y = 2.60x + 8
Plug 40 into y
40 = 2.60x + 8 and solve for x
x = 12.3 gallons
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Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
The vera family is traveling from Philadelphia to Orlando for vacation the equation Y equals 1000-65X represents the distance in miles remaining in the trip after X hours interpret the slope and the Y intercept
As per the following graph, the slope is 66.67 and the y intercept is 1000.
Graph:
The graph is used to present data that are too numerous or complicated to be described adequately in the text and in less space.
Given,
The Vera family is traveling from Philadelphia to Orlando for vacation the equation Y = 1000-65X represents the distance in miles.
Here we need to find the slope and the y intercept.
For the given equation, we have to plot the graph to identify the y intercept.
If we plot the given equation then we get the following graph.
Through the graph we have identified that, the value of y intercept is 1000.
Then the next thing we have to do is to find the slope of the lien for that we have to take the two sample point from the graph.
They are,
(0,1000) and (6,600)
Then the slope of the line is calculated through the formula,
m = (600 - 1000)/6 - 0
m = -400/6
m = 66.67
Therefore, the slope of the line is 66.67.
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The circumstances if the base of the cone is 12π cm. If the volume of the cone is 96π, what is the height
pleaseee helppp!!
Hence, the cone is 8/3 cm tall as we can get the height using the following formula for a cone's volume.
what is volume ?A three-dimensional object's volume is a measurement of how much space it takes up. It is a real-world physical number that can be expressed in cubic measurements like cubic metres (m3), cubic centimetres (cm3), or cubic feet (ft3). Physics, chemistry, architecture, and mathematics all use the idea of volume extensively. Volume is frequently used to refer to the amount of space that an object or substance takes up, for instance the amount of a container, the volume of either a liquid, or the quantity of a gas. Depending on an object's shape, a different formula is required to determine its volume.
given
The formula V = (1/3)r2h, where V is the volume, r is the radius of the base, and h is the height, can be used to determine the volume of a cone.
Hence, by multiplying the circumference by two, we can determine the radius of the base:
12π / 2π = 6
Thus, the base's radius is 6 cm.
Also, we are informed that the cone's volume is 96. As a result, we can get the height using the following formula for a cone's volume:
V = (1/3)r2h
96 = (1/3)(6/2)h
96 = 36 h
96 / 36 = 8/3
Hence, the cone is 8/3 cm tall as we can get the height using the following formula for a cone's volume.
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In the table below, which triangle(s) represent right triangles? (There is more than one answer.) part 2
Answer: B and C
Step-by-step explanation:
A: 49+9 does not equal 441
B: 400+441 does equal 841
C: 36+64 does equal 100
D: 36+16 does not equal 100
I need help with this it’s geometry this is my 2nd time asking for help
Answer:
The measure of angle WVX is 140°.
Step-by-step explanation:
Let x be the measure of angle WVX.
\( \frac{14}{9} \pi = 2x\)
\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)
Answer:
angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.
so, the answer is 140 degrees.
PLS HELP ME WITH THIS ASAP PLS
Answer:
A) x(x-1)(x+1)
Step-by-step explanation:
In the second term on the LHS, the denominator \(x^2-1=(x-1)(x+1)\), and \(x-1\) is contained in the first term. Therefore, the least common denominator would be \(x(x-1)(x+1)\).
Find the value of x will give brainliest need answer soon
Answer:
\(\frac{135 - 5x}{2}= 45\\\\135 - 5x = 90 \\\\5x = 90-135\\\\5x = 45\\ x= 9\)
Option B
Is negative square root of 196 rational or irrational
Answer: Rational
Step-by-step explanation:
The negative square root of 196 is -14. Rational numbers consist of integers, whole numbers, and natural numbers. Since -14 is an integer, the negative square root of 196 is -14 which is a rational number
Answer:
A negative number does not have a square root because it is less than 0 so literally there is no answer for √-196
Which expressions are equivalent?
Answer:
The third one I believe.
Step-by-step explanation:
the volume 216 whats the lenght in inches
Answer:
so i the answer is 216 only
Marco need to buy some dog food at the nearest store six bags of dog food cost $25.50 how much would Marcos bag of five bags of dog food
Answer:
Five bags of dog food costs $21.25.
Step-by-step explanation:
We can solve using proportions.
\( \frac{6 \: bags}{25.50 \: dollars} = \frac{5 \: bags}{x} \\ \\ \frac{127.5}{6} = \frac{6x}{6} \\ \\ 21.25 = x \\ 21.25 \: dollars = x\)
Kate opens a savings account with a deposit of $1250. After 2 years, she has
receives $112.50 in interest. What is the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Simple interest:
I = Prt
112.5 = 1250(r)(2)
1250r = 56.25
r = 0.045 = 4.5%
Answer: 4.5%
Mites are discovered in a peach orchard. The Department of Agriculture has determined that the population of mites t hours after the orchard has been sprayed is approximated by N(t)=1600−3tln(0.07t)−t N ( t ) = 1600 − 3 t ln ( 0.07 t ) − t , where 0What is the maximum number of mites in the peach orchard? Round to the nearest whole number.
The maximum number of mites in the peach orchard are 1564
Given that,
There are found to be mites in a peach orchard. According to research conducted by the Department of Agriculture, the number of mites t hours after the orchard has been sprayed is roughly represented by the equation N(t)=1600-3tln(0.07t)-t
To find : What is the maximum number of mites in the peach orchard? Round to the nearest whole number.
N(t)=1600-3tln(0.07t)-t
N(19)=1600-3(19)ln(0.07(19))-(19)
N(19)=1600- 16.255 - 19
N(19)=1564.74
N(19)≈1564
Therefore, the maximum number of mites in the peach orchard are 1564
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Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.
Answer:
The coordinates of the point Q is (4, 1)
Step-by-step explanation:
The given parameters are;
The directed line segment extends from R(-2, 4), to S(18, -6)
The ratio in which the point Q partitions the directed line segment = 3:7
Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS
Which gives;
(-2 + (18-(-2))×3/10, 4 +(-6 -4)×3/10) which is (4, 1)
The coordinates of the point Q = (4, 1)
We check the length from R to S is given by the relation for length as follows
\(l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)
Where;
R(-2, 4) = (x₁, y₁)
S(18, -6) = (x₂, y₂)
Length of segment RS = 22.36
length from R to Q = 6.7086
We check RQ/RS = 6.7082/22.36 = 0.3
Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7
The coordinates of the point Q = (4, 1).
Determine a series of transformations that would map Figure O onto Figure P.
Answer:
OP question dude..
Step-by-step explanation:
Over Powered
Solve for t
5t - 2 = 6t - 7
Answer:
The answer to the question is 5 (positive 5)