Answer:
13.5% probability of a meerkat living between 12.3 and 14.2 years.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 10.4
Standard deviation = 1.9
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.
Between 12.3 and 14.2 years.
12.3 = 10.4 + 1.9
So 12.3 is one standard deviation above the mean.
50% of the measures are above the mean. Of those, 68% are within 1 standard deviation of the mean.
14.2 = 10.4 + 2*1.9
So 14.2 is two standard deviations above the mean.
50% of the measures are above the mean. Of those, 95% are within 2 standard deviation of the mean.
0.5*0.95 - 0.5*0.68 = 0.135
13.5% probability of a meerkat living between 12.3 and 14.2 years.
Randall buys 3 tickets for a concert for 14.50 each. He gives the cashier a $50 bill. How much change does he get?
Rearrange the equation so xxx is the independent variable.
y+6=5(x-4)y+6=5(x−4)y, plus, 6, equals, 5, left parenthesis, x, minus, 4, right parenthesis
y=
The equation is rearranged so that \(y\) is expressed in terms of[tex]\(x\): y= 5x - 26[/tex]
To rearrange the given equation so that x is the independent variable, you need to solve for y. Here's how you can do it step by step:
1. Start with the given equation:
[tex]\[y + 6 = 5(x - 4)\][/tex]
2. Expand the right side of the equation:
[tex]\[y + 6 = 5x - 20\][/tex]
3. Move the constant term (6) to the right side by subtracting 6 from both sides:
[tex]\[y = 5x - 20 - 6\]\\y = 5x - 26\][/tex]
Now, the equation is rearranged so that \(y\) is expressed in terms of[tex]\(x\): y= 5x - 26[/tex]
For such more question on equation
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Find the circumference of a circle with radius, r = 19.5m.
Give your answer in terms of pie
Answer:
39π cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here r = 19.5, thus
C = 2π × 19.5 = 39π cm
Please help me now plz
I will mark you brainliest
Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
Find the Mean Absolute Deviation: 5,
11, 2, 7, 16. The Mean is 8.2
4.2
3.2.
2.8
1.2
Answer:
4.24
Step-by-step explanation:
It is hard to explain sorry if you need it
The mean absolute deviation of the given values is 4.24
Given the values :
5, 11, 2, 7, 16
Mean = 8.2
The mean absolute deviation = Σ|x - mean| ÷ n
n = number of observations
x = observations
Mean absolute deviation :
(|5 - 8.2| + |11 - 8.2| + |2 - 8.2| + |7 - 8.2| + |16 - 8.2|) ÷ 521.2 ÷ 5 = 4.24Therefore, the mean absolute deviation of the values given is 4.24
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(e) The number of bees spotted in Amelie's garden can also be modeled by the function B(x) = 50√ k + 2x where x is the daily high temperature, in degrees Fahrenheit, and k is a positive constant. When the number of bees spotted is 100, the daily high temperature is increasing at a rate of 2 ◦F per day. According to this model, how quickly is the number of bees changing with respect to time when 100 bees are spotted?
Answer:
[tex]\frac{dB}{dt}=4[/tex]
Step-by-step explanation:
Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.
Given:
Number of bees is modeled by the function [tex]B(x)=50\sqrt{k}+2x[/tex]
The daily high temperature is increasing at a rate of 2 °F per day when the number of bees spotted is 100.
To find:
rate of change of number of bees when 100 bees are spotted
Solution:
[tex]B(x)=50\sqrt{k}+2x[/tex]
Differentiate with respect to t,
[tex]\frac{dB}{dt}=0+2(\frac{dx}{dt}) \\\frac{dB}{dt}=2(\frac{dx}{dt}) \\[/tex]
Put [tex](\frac{dx}{dt}) =2[/tex]
[tex]\frac{dB}{dt}=2(2)=4[/tex]
At x = 100, [tex]\frac{dB}{dt}=4[/tex]
Line d has a slope of –7 4 . Line e is perpendicular to d . What is the slope of line e ? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Final answer:
The slope of line e, which is perpendicular to line d with a slope of -7/4, is 4/7.
Explanation:
The slope of line d is -7/4. To find the slope of a line perpendicular to d, we use the property that the product of the slopes of two perpendicular lines is -1. So, the slope of line e is the negative reciprocal of -7/4.
To find the negative reciprocal, we find the reciprocal by flipping the fraction and then negate it by changing the sign. Therefore, the slope of line e is 4/7.
Alex saved $65. He has already spent $25. He plans to spend $8 on a movie ticket each month. Which any quality represents the number of movie tickets he can but?
Answer: 8m+25 ≤ 65
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).
Mathematically speaking:
8m+25 ≤ 65
Feel free to ask for more if needed or if you did not understand something.
what is the factorization of x2 + 2x − 63
Answer:
(x+9) (x-7)
Step-by-step explanation:
x^2 + 2x − 63
What 2 numbers multiply to -63 and add to 2
9* -7 = -63
9+-7 = 2
(x+9) (x-7)
PLEASE HELP!! 25 POINTS!!!
Agnes and Jamie left the apartment at the
same time traveling in the same direction
(along the same road). Agnes is traveling
at 54 mph and Jamie at 60 mph. How
many hours will it be before Jamie is 12
miles ahead of Agnes?
Answer:
2 Hours
Step-by-step explanation:
If Jamie is going 6 miles per hour faster than Agnes, then in 2 hour Jamie should be 12 miles ahead of Agnes
What’s the distance between 120 and -50 on a number line ?
Answer:
170
Step-by-step explanation:
The distance between 120 and -50 on a number line is equal to 170.
What is a number line?In Mathematics and Euclidean Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.
This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).
Based on the information provided above, we would determine the distance between the two numerical values 120 and -50 by using the number line as follows:
x = 120 - (-50)
x = 120 + 50
x = 170.
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A car is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
VX
O When the number of hours increases, the number of miles decreases.
O When the number of hours increases, the number of miles increases.
O When the number of hours decreases, the number of miles increases
O When the number of hours decreases, the number of miles stays the same.
Mark this and return
Save and Exit
Next
Submit
Answer: The answer is the second one Letter B.
when the number of hours increases, the number of miles increases
Hope this help You Yo.
ahhhhhhhhhh to lazy :(
Answer:
28
Step-by-step explanation:
10 - 12^2 ÷(-2)^3
PEMDAS
Exponents first
10-144÷(-8)
Then multiplication and division
10- (-18)
Then add and subtract
10+18
28
Answer:
why don't you answer mine
The Vega family must pay $1776 each year in property taxes for their home they pay the tax and equal monthly payments your house payment is $948 a month before the text what is your house payment each month with the tax
Answer:
$1,096.00 per month
Step-by-step explanation:
Divide 1776 by 12 for one payment per month equals 148.
Add the monthly house payment $948 to the monthly tax payment $148. The total monthly payment due is $1,096.00.
On his last three tests, Mark scored 85, 95, 80. What grade must he get on his next test to have an average of 90 for all four tests
Answer: 100
Step-by-step explanation:
85+95+80=260 divided by 3 is 86.6 repeating and getting 100 on his next test would add up to 360 and 360/4 is 90
Ella bought 11/12 of a pound of green grapes and 3/4 of a pound of red grapes. How much more did the green grapes weigh than the red grapes?
Answer:
1/6
Step-by-step explanation:
11/12-3/4
=11/12-9/12
=2/12
=1/6
Answer:
2/12 or 1/6
Step-by-step explanation:
11/12-3/4
First convert the 3/4 to 9/12 becase the numbers have to have the same denominater.
3/4=9/12
11/12-9/12=2/12
Simplified would be 1/6
An internet company Randomly selected 50 of his customers and ask them how many hours per week to use the Internet of those surveyed 28 use the Internet more than 15 hours per week based on the data if the company has 800 subscribers how many use more than 15 hours per week
Answer:
448 subscribers use more than 15 hours per week
Step-by-step explanation:
In this question, we shall be using the proportion of what was gotten from a survey to estimate the number of subscribers that use more than 15 hours per week
From the question, we can see that out of the 50 people surveyed, 28 use more than 15-hours per week based on data
The proportion that thus use 15-hours per week based on data is 28/50
Now to know the number of subscribers out of 800 that use more than 15-hours per week based on data we have ; 28/50 * 800 = 28 * 16 = 448 subscribers
need help
What is the volume of this rectangular prism?
What is the volume of this rectangular prism?
A rectangular prism with a length of 6 and one-fourth foot, width of 14 feet, and height of 3 feet.
A:87 and one-half feet cubed
B:131 and one-fourth feet cubed
C:252 feet cubed
D:262 and one-half feet cubed
Answer:
252 feet cubed
hope this helps!
Step-by-step explanation:
James and Reggie both collect old coins. Together, they have a total of 60 coins. If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins. How many more cons does James have (compared to the number of coins Reggie has)?
Answer:
James has 20 more coins than Reggie
Step-by-step explanation:
Given:
Total number of coins with James and Reggie = 60
If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins
To find: number of coins with James and Reggie
Solution:
Let x denote number of coins with James and y denote number of coins with Reggie.
According to question,
[tex]x+y=60\\x-\frac{x}{4} =y+\frac{x}{4} \\x-y=\frac{2x}{4} \\x=2y[/tex]
Put [tex]x=2y[/tex] in [tex]x+y=60[/tex]
[tex]2y+y=60\\3y=60\\y=\frac{60}{3}=20\\ x=2y=2(20)=40[/tex]
So,
number of coins with James = 40
number of coins with Reggie = 20
James has 20 more coins than Reggie
Which expressions are equivalent to -56z + 28.
A. 1/2 *(-28z + 14
B. (-1.4z+0.7) *40
C. (14 -7z) *(-4)
D.(8z - 4) (-7)
E. -2(-28z-14)
There are 2 right answers. Plz help!
The expressions that are equivalent to -56z + 28 are B. (-1.4z+0.7) * 40 and D.(8z - 4) * (-7), as they both simplify the given expression.
You are looking to find expressions that are equivalent to -56z + 28. Let's simplify each of the given options:
A. 1/2 *(-28z + 14) simplifies to -14z + 7, so this is not equivalent to -56z + 28.
B. (-1.4z+0.7) * 40 simplifies to -56z + 28, which is equivalent.
C. (14 -7z) *(-4) simplifies to -56z + 56, which is not equivalent to -56z + 28.
D.(8z - 4) * (-7) simplifies to -56z + 28, which is equivalent.
E. -2(-28z-14) simplifies to 56z + 28, which is not equivalent since the terms have opposite signs.
The equivalent expressions to -56z + 28 are options B and D.
Find the whole.
25% of what number is 70?
Answer:280
Step-by-step explanation:
25% of x = 70
x= 280
Elena bought a backpacking tent to take with her on hiking trips.
She needs to buy a rain proof tarp for the tent that will cover all 4 sides, as well as protect the ground underneath. Which size tarp should she purchase? *
1 point
a) X-Small: 16 ft²
b) Small: 34 ft²
c) Medium: 88 ft²
d) Large: 104 ft²
e) X-Large: 144 ft²
If the tarp that she buys does not work and the tent fills up completely with water, how much water would it take to fill the tent, if the tent is 8.75 ft tall? *
1 point
a) 140 ft³
b) 144 ft³
c) 48 ft³
d) 46.7 ft³
e) 36 ft³
Answer:
Question 1 = c) Medium: 88 ft²
Question 2 = d) 46.7 ft³
Step-by-step explanation:
Question 1
We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.
The surface area of a square based pyramid(tent) =
a² + 2ah
Where in the diagram,
a = base length = 4 ft
h = height of the pyramid (tent ) = 9ft
Surface area = 4² + 2 × 4 × 9
= 16 + 72
= 88ft²
Therefore, the size tarp should she purchase is Medium: 88 ft²
Question 2
For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.
To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).
The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)
Where a = base edge
h = height of the pyramid.
From the diagram,
a = base edge => 4ft.
From the question,
h = height of the tent is given as how tall the tent is = 8.75ft.
Therefore, 1/3(a²h)
1/3 × (4ft)²× 8.75ft
= 46.67ft³
Approximately = 46.7ft³
Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³
5g - 10 = -25
please help!
Answer:
g = -3
Step-by-step explanation:
5g - 10 = -25
5g = -25 + 10
5g = -15
g = -15/5
g = -3
hope it helps!
Answer:
g = - 3
Step-by-step explanation:
5g - 10 = - 25
5g = - 25 + 10
5g = - 15
g = - 15 : 5
g = - 3
What are all the simplified form of the equation 3(4x - 2) = 9 + 2x + 5
Step-by-step explanation:
Step 1: Distribute
[tex]3(4x - 2) = 9 + 2x + 5[/tex]
[tex](3 * 4x) + (3 * -2) = 14 + 2x[/tex]
[tex]12x - 6 = 14 + 2x[/tex]
Step 2: Add 6 to both sides
[tex]12x - 6 + 6 = 14 + 6 + 2x[/tex]
[tex]12x = 20 + 2x[/tex]
Step 3: Subtract 2x from both sides
[tex]12x - 2x = 20 + 2x - 2x[/tex]
[tex]10x = 20[/tex]
Step 4: Divide both sides by 10
[tex]10x / 10 = 20 / 10[/tex]
[tex]x = 2[/tex]
Answer: [tex]x = 2[/tex]
A circle of a certain radius has an area which is numerically 5 times the value of the circumference. What is the radius of the circle?
We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.
We know that area of circle with a radius of r units is [tex]\pi r^2[/tex].
We know that circumference of a circle is [tex]2\pi r[/tex].
5 times the value of circumference would be [tex]5(2\pi r)=10\pi r[/tex].
Now we will equate 5 times circumference with area as:
[tex]\pi r^2 = 10\pi r[/tex]
Let us solve for r.
[tex]\pi r\cdot r = 10\pi r[/tex]
[tex]\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}[/tex]
[tex]r=10[/tex]
Therefore, the radius of the circle would be 10 units.
In a new lottery game, contestants pick 5 numbers (1-9 inclusive) and must guess exactly 3 correct in order to win. What’s the probability of winning this lottery?
Answer: 0.6%
Step-by-step explanation:
We have a selection of 5 numbers, in those selection we have 3 combinations of 3 consecuitve numbers (because the numbers must be in correct order).
The first 3
The 3 in the middle
the last 3.
So a contestant has 3 combinations were he wins.
Now, the number of possible combinations of the 9 numbers given is:
For the first number we have 9 options.
For the second number we have 8 options (because we already selected one)
For the last number we have 7 options (because we already selected 2 numbers)
Then the number of possible combinations is
10*9*8 = 504
The probabilty of winning will be equal to the number of combinations that the contestant has (3) divided by the total number of combinations, this is:
p = 3/504 = 0.006 or 0.006*100% = 0.6%
Suppose you have the same box with a volume of 400 in^3. And a height of 5 in. You now also know that the box is 8 in. Wide. What is the length of the box?
Answer:
Step-by-step explanation:
Volume of the box = 400 cubic inches
length * width * height = 400
length * 8 * 5 = 400
length * 40 = 400
length = 400/40
length = 10 inches
Answer:
Step-by-step explanatio
it is C
if a bicycle wheel has a diameter of 21 inches what the exact circumference?
Answer:
Circumference = 65.97344573
Step-by-step explanation:
Given the diameter of a circle, we can use the formula C = πd to find the circumference.
C = circumference
π = pi
d = diamater
Equation: 21(π) = 65.97344573
Make sure to round to whatever decimal place is asked for!
PLEASEEEEEEEEE HELP 15 POINTS
Answer:
If I remember correctly,
P x 9 = $60.75 and 6 x(times) $1.25=c
Step-by-step explanation:
First problem:
Since the total price of all 9 sandwiches is $60.75, that means that the price of one sandwich nine times will equal the total price.
Second problem:
Rather than giving you the total price, it gives you the price of one drink, so to find the total price you would need to multiply the price of one drink by the number of drinks to get the total (the total being c in this case)
since 2010 the town of fall river has been experiencing a growth in population according to the model what will the population of fall river be in 2020
Answer:
the population of fall river will be 48558
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Since 2010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed time, t, in years, since 2010 and the town's population, P(t left parenthesis, t, right parenthesis, is modeled by the following function. P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex] According to the model, what will the population of Fall River be in 2020? Round your answer, if necessary, to the nearest whole number.
My answer:
Given the exponential function:
P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex] where:
t in years, since 2010 the town's population, P(t)As we know, from 2010 to 2010 are 10 years
Hence, to find the population of fall river be in 2020, we substitute t =10 into the given function:
[tex]P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558[/tex]
So in 2020, the population of fall river will be 48558
Hope it will find you well.
Answer:
By 2020 the population of Fall River will be 48558
Step-by-step explanation:
Here, we note that the equation for the model is p(t) = 36,800×2^(t/25)
That is the format;
[tex]p(t) = 36,800 \times 2^{\frac{t}{25}[/tex]
Where:
t = Number of years since 2010
Therefore, the population of the town in 2020 can be found by first finding the number of years between 220 and 2010 and plugging the value into the equation as follows;
Number of years, t = 2020 - 2010 = 10 years
Hence;
[tex]p(t) = 36,800 \times 2^{\frac{10}{25}} = 48557.89 \approx 48558[/tex]
Therefore, according to the model, by 2020 the population of Fall River will be 48558.