Answer:
90
Step-by-step explanation:
Add 46 to both sides to get the value of J, which is 90
~theLocoCoco
Vidal was comparing his treehouse to Mateo's treehouse,
The length of Vidal's treehouse was 6 feet.
The length of Mateo's treehouse was 48 inches.
How much longer was Vidal's treehouse than Mateo's treehouse?
Write your answer in feet AND inches.
Show your work
Answer:
2 feet and 0 inchesBasic facts:
1foot =12 inch
Step-by-step explanation:
Vidal's treehouse was 6 feet which are 72 inches
Mateo's treehouse was 48 inches
72-48=24
24/12=2
2 feet and 0 inches
If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same percentage rate between 2008 and 2012, calculate what the world's population would have been in 2012. Round your answer to two decimal places.
Answer:
The answer is "7.122 billion"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
\(\to y=Ce^{kt}\)
\(C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\\)
So,
\(\to y=5.937e^{.013t}\\\\\)
when it becomes \(2012, \ t=14\) so plug the value into the formula
\(\to y= 5.937e^{.013(14)} =7.122 \ billion\)
in jacks class 18 of the students are tall and 10 are short. in Michaels class 54 students are tall and 30 students are short. which lass has a higher ratio of tall to short students
Answer:
uhh what kinda class is that big- anyways
Step-by-step explanation:
jacks class
18:10
If you divide 18 by 10 you get 1.8
Micheals class
54:30
If you divide 54 by 30 you get 1.8
therefore neither. They are both equivalent
the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, in jacks class 18 of the students are tall and 10 are short. in Michaels's class, 54 students are tall and 30 students are short.
The ratio of tall to short students in jacks class = 18/10 = 1.8
The ratio of tall to short students in Micheals's class = 54/30
The ratio of tall to short students in Micheals's class = 1.8
Therefore, the Ratio of tall to short students in the Michels and jacks class is equal which is 1.8.
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what is the distance between (-1, 4) and (1, -1)
D(distance)= \(\sqrt{29}\) or 5.3852, approximately.
Step-by-step explanation:Distance formula: \(d=\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} } .\)
1. Name the variables.
Let -1 be \(x_{1}\). Therefore, 4 will be \(y_{1}\).
Let 1 be \(x_{2}\). Therefore, -1 will be \(y_{2}\).
2. Substitute the values in the formula and calculate.
\(d=\sqrt{((1) -(-1) )^{2}+((-1) -(4) )^{2} } \\ \\d=\sqrt{(1+1 )^{2}+(-1-4 )^{2} }\\ \\d=\sqrt{(2 )^{2}+(-5 )^{2} }\\ \\d=\sqrt{4+25 }\\ \\d=\sqrt{29}\)
3. Express the result.
D(distance)= \(\sqrt{29}\) or 5.3852, approximately.
How many parts do 100 points divide a line
The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
2. Javier used a microscope to measure the diameter
of a grain of sand. He found that the diameter of the
grain of sand was 0.00007 centimeters. How is this
number written in scientific notation?
A. 7x 104
C. 7 x 10-6
B. 7 x 105
D. Not Here
Answer:
7 x 10^-5
Step-by-step explanation:
0.00001 is 1 x 10^-5 so multiply that by 7
Answer:
B. 7 x \(10^5\) or not here
Step-by-step explanation:
if B. is \(10^5\) then it is B. if it is 105 then it is not here
Hope this helped!!
A company wanted to estimate the mean lifetime of its new model of lightbulbs. They use a method for testing bulbs that accelerates the process so the bulbs burn out relatively quickly, and the company can accurately calculate the corresponding lifetime under regular usage. They took a random sample of 555 of these new bulbs and calculated their lifetimes. Here are the data and summary statistics:
Bulb 1 2 3 4 5
Lifetime 14.2 12.2 13.4 12.6 14.6
Mean= 13.4 years
Standard deviation= sx =1.02 years
Required:
Wrtite a 90% confidence interval for the mean lifetime in years) for this type of bulb.
Answer:
13.4±2.132(1.02/5)
Step-by-step explanation:
Khan Academy
The confidence interval for the mean life time is; CI = 13.4 ± 3.678(1.02/5)
What is the confidence interval?
Formula for confidence interval is;
CI = x' ± z(s/√n)
We are given;
Mean; x' = 13.4
Standard deviation; s = 1.02
Sample size; n = 5
z-score at confidence level of 90% = 1.645
Thus;
CI = 13.4 ± 1.645(1.02/√5)
CI = 13.4 ± 3.678(1.02/5)
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
T/F the condition probability of a given b must be smaller than the intersection of the same two events a and b
The condition probability of a given b must be smaller than the intersection of the same two events a and b:
This statement is False.
The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".
The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.
The formula for conditional probability is
P(b|a) = P(a and b) / P(a),where P(b|a) represents the probability of event "b" given that event "a" has already occurred.
In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".
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What is 40 percent of 9999
I need help with the bonus. first to answer gets brainliest
Answer:
Dunkin Donuts is giving away free box of 12 Donuts per family to everyone this week to support the nation during Pandemic and the cities of Greenland and the cities of Greenland and the cities of Greenland and the cities of Greenland and the cities of Greenland and the cities of Greenland
Answer: you need to add a
Step-by-step explanation:
The original Cars movie made 450 million dollars at the box office. Cars three made 297 million dollars at the box office. What was the percent of change?
Answer:
34% decrease
Step-by-step explanation:
(V1-V2)/V1x100
450-297=153
153/450=0.34
0.34 x 100=34
34% decrease
Determine the amplitude of function
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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Consider the probability that exactly 91
out of 153
registered voters will vote in the presidential election. Assume the probability that a given registered voter will vote in the presidential election is 59%
.
Step-by-step explanation:
We can use the binomial distribution to compute the probability that exactly 91 out of 153 registered voters will vote in the presidential election, assuming that the probability that any given registered voter will vote in the presidential election is 59%.
The probability mass function of the binomial distribution is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where:
- n is the number of trials (in this case, the number of registered voters)
- k is the number of successes (in this case, the number of registered voters who will vote in the election)
- p is the probability of success on any individual trial (in this case, the probability that a given registered voter will vote in the election)
Using this formula, we can calculate:
P(exactly 91 out of 153 voters will vote) = (153 choose 91) * 0.59^91 * (1 - 0.59)^(153 - 91)
= 0.037
Therefore, the probability that exactly 91 out of 153 registered voters will vote in the presidential election is approximately 0.037, or about 3.7%.
Factoriser
4t(t+2) + 3(t+2)
-3y(y+6) + 7(y+6)
Answer: (t + 2) (4t + 3), (-3y + 7) (y + 6)
Which expression is equivalent to 4 (x+3)?
A: x + 12
B: 4x + 12
C: 4x + 7
D: 12x
Answer:
B
Step-by-step explanation:
A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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Which of the following is another way to label Plane J?
Select one: Plane h Plane
ABD Plane EFG Plane ADF
Check
Plane ADF is another way to label Plane J.
In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.
These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.
Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.
Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.
Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.
Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.
Therefore, Plane ADF is another way to label Plane J.
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A rectangular photograph has an area of 77 square inches. If the width of the photograph is 4 inches less than its height, find the dimensions of the photograph.
The height of the photograph is blank_cubic inches, square inches, inches?
Answer: lb=48
l(l-8)=48
l^2–8l=48
l^2–8l-48=0
l^2–12l+4l-48=0
l(l-12)+4(l-12)=0
l=12inches &
b=12–8=4inches
Step-by-step explanation:
chance rolls a 1-6 number cube. What is the probabilty that he will roll a prime number
Answer:
B
Step-by-step explanation:
There are six numbers altogether. 2 3 and 5 are prime. One is odd, but it is not considered prime.
So P(prime) = 3/6 = 1/2
As a percent, this is 1/2 * 100 = 50%
In the figure, ∠6 is an exterior angle to (square) AUL.
A: Explain why m∠6 is equal to the sum of the measures of the two nonadjacent interior angles.
B: What is m∠6?
Answer:
Answer:
Part A∠6 + ∠3 = ∠PAL - angle addition∠PAL = 180° - straight angle∠6 + ∠3 = 180° - substitution∠6 = 180° - ∠3 (1)ΔAUL has
∠1 + ∠2 + ∠3 = 180° - property of triangles∠1 + ∠2 = 180° - ∠3 (2)(1) and (2) have RHS same, therefore LHS also same:
∠6 = ∠1 + ∠2Part B∠6 = ∠1 + ∠2 - givenSubstitute measures
∠6 = 52° + 33° ∠6 = 85°Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
question is in the image below
The perimeter of Sam's string is 178 inches.
Given information:
Sam has a rectangular shaped window.
Length = 65 inches.
Width = 24 inches.
To find the perimeter:
you can use the formula:
Perimeter = 2 x (Length + Width)
Substituting the values into the formula, we have:
Perimeter = 2 x (65 + 24)
Perimeter = 2 x 89
Perimeter = 178 inches
Therefore, the perimeter of the rectangular window is 178 inches.
So, the perimeter of the rectangular window is 178 inches. This means that if you were to walk along the outline of the window, you would cover a total distance of 178 inches. It's important to note that the perimeter represents the total length of all the sides combined, and it is measured in the same unit (in this case, inches) as the length and width of the window.
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the perimeter of the triangle is 108 units. The perimeter of the rectangle is 36 units. Write and solve a system of linear equations to find the values of x and y.
Answer:4x + 8y = 36 and 12x + 24y = 108.
Step-by-step explanation:The perimeter of the rectangle is 36 units. The perimeter of the triangle is 108 units. Write and solve a system of linear equations to find the values of x and y.
I need help answering this question.
Answer:
6x
Step-by-step explanation:
If x is the length of one side, and each side is the same length, you will multiply it by 6 times (there are 6 sides in a hexagon).
So, you will add it up 6 times, but you can say 6x for short.
Find the average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5] and [1,1 + h).
The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.
To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:
average rate of change = (change in output)/(change in input)
where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.
For the function g(x), let's assume we have the following values:
g(1) = 3
g(1.5) = 4
g(2) = 6
g(1+h) = 3h + 1
Then we can calculate the average rate of change over the intervals as follows:
[1, 2]:
change in output = g(2) - g(1) = 6 - 3 = 3
change in input = 2 - 1 = 1
average rate of change = (change in output)/(change in input) = 3/1 = 3
[1, 1.5]:
change in output = g(1.5) - g(1) = 4 - 3 = 1
change in input = 1.5 - 1 = 0.5
average rate of change = (change in output)/(change in input) = 1/0.5 = 2
[1, 1+h):
change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2
change in input = 1+h - 1 = h
average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h
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What is the cost of a pair of shoes if they retail for $18.50, have a tax of 6%, and you have a coupon for 20% off after taxes
Answer:
$15.69
Step-by-step explanation:
multiply the retail price by 1.06 to get the price after taxes.
find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer