Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
What is the slope of the line passing through
points (6, -1) and (1,8)?
Answer:
-1.8
Step-by-step explanation:
m= y2 - y2over x2 - x1
m= -1 - 8 over 1 - 6 = -1.8
m= -1.8
How much greater is (2^3)^2 than 2^3 x 2^2
Answer:
(2^3)^2/2^3X2^2 = 6/4 = 3/2
Step-by-step explanation:
(2^3)^2 = 6^2 = 36
2^3 X 2^2 = 6 X 4 = 24
Answer:
(2^3)^2 is 32 greater than 2^3 * 2^2
Step-by-step explanation:
(2^3)^2 = 2^(3 * 2) = 2^6 = 64
2^3 * 2^2 = 8 * 4 = 32
Difference:
64 - 32 = 32
Answer: (2^3)^2 is 32 greater than 2^3 * 2^2
How do you write 2x^5-9x^4-2x^2+10 in standard form?
Answer:
[tex]2x^5-9x^4+0x^3-2x^2+0x+10[/tex]
Step-by-step explanation:
A polynomial is in standard form when its terms are ordered from highest to lowest degree.
If the polynomial is missing terms, it must be completed by setting their coefficients to 0.
The given polynomial is:
[tex]2x^5-9x^4-2x^2+10[/tex]
The terms are ordered, but it's incomplete. The terms with exponent 3 and 1 must be included with zero coefficient.
Thus the polynomial in standard form is:
[tex]\boxed{2x^5-9x^4+0x^3-2x^2+0x+10}[/tex]
Jeff lost 50 acres of wheat because of a late freeze. This was 25% of his total wheat crop. How many acres of wheat were planted? This is a type 2 percent problem: 25 percent of what number is 50?
Answer:
200
Step-by-step explanation:
I put the numbers in a cross multiply scenario:
So it looks like 25/100 and 50/?
So multiply 50 by 100.
Then divide that by 25!
Happy Halloween!
Evaluate: -8/9 + 4/9 - 2/9
A. -14/9
B. -2/3
C. 10/9
D. -1/3
Answer:
-2/3
Step-by-step explanation:
Add the first two then subtract
The answer to the equation is B, [tex]-\frac{2}{3}[/tex]
First, you must add the the fractions. You add the numerator because all three fractions have like denominators.
[tex]-\frac{8}{9} +\frac{4}{9} -\frac{2}{9}=\frac{6}{9}[/tex]
Then, you must simplify [tex]-\frac{6}{9}[/tex]
[tex]-\frac{6}{9} =-\frac{2}{3}[/tex]
The answer to the equation is [tex]-\frac{2}{3}[/tex]
help me please!!!!!!!!!!!!!!!!!
im not for sure but Step-by-step explanation: 3,000=102938884.00919377299
Answer:
3,000=102938884.00919377299
Step-by-step explanation:
(60)x = 1, what are the possible values of x? Explain your answer.
Answer:
[tex]\frac{1}{60}[/tex]
Step-by-step explanation:
Problem:
The possible values of x in the equation (60)x = 1;
Solution:
Such a problem like this in which the highest power of the unknown is 1 will have just one solution.
60x = 1
To solve this, we take the multiplicative inverse of 60;
the multiplicative inverse of 60 = [tex]\frac{1}{60}[/tex]
Use this inverse to multiply both sides of the expression;
[tex]\frac{1}{60}[/tex] [tex]x[/tex] 60x = 1 x [tex]\frac{1}{60}[/tex]
x = [tex]\frac{1}{60}[/tex]
☺ ANSWER THIS MATH QUESTION FOR ME ☺
IGNORE THE ALREADY SELECTED ANSWER CHOICE !
Answer:
D, x = 7
Step-by-step explanation:
This is essentially a transformed square root function
√(30-2x) - x can be rewritten as -x + √-2(x - 15)
100 points help asap i'll give brain
Answer:
hi
Step-by-step explanation:
Answer: i cant help but can u please give me brainliest
Step-by-step explanation:
Please help, will mark brainliest for the correct answer
Answer:
C. 23/21
Step-by-step explanation:
Explain! Prize! Thank you!!
Answer:
$125
Step-by-step explanation:
To solve for one ticket divide 75 by 3 to get 25. Then to solve for 5 multiply 5 x 25 to get 125. So 5 tickets cost $125.
Hope that helps and have a great day!
Answer:
$125
Step-by-step explanation:
75 divided by 3 = 25
this means that the cost of one ticket is $25
so now all we need to is multiply $25 by 5 = $125
Four less than half a number is 15. Find a number.
Answer:
38
Step-by-step explanation:
38
[tex]\frac{x}{2} - 4 = 15[/tex]
[tex]x - 8 = 30[/tex]
[tex]x = 38[/tex]
Ben Amstrong earns $13.57 an hour plus time and a half for weekend work. Last week he worked his regular 40 hours plus 8 hours on Saturday. What was his total pay for the week? A) $542.80 $651.36 B) C) $705.64 $759.92 D)
Answer:
$651.36
Step-by-step explanation:
13.57x48
what is the y intercept of the equation shown below?
a -1/2
b -2
c 0
d 4
0.435 repeated into a fraction
Answer:145/333
Step-by-step explanation:
Answer:
see the picture hope this helps
pic below....................
Answer:
grouping is the answer
The cereal box shown below is cut from a piece of cardboard with 600 square inches. How many cereal boxes can be cut from this piece of cardboard?
Answer:
87 moneys
Step-by-step explanation:
If you can walk 3 miles in an hour, how many miles can you walk in 30 minutes, given the
3
same pace?
A. 1 1/6 miles
B. 1 2/3miles
C. 6 2/3miles
D. 1 1/3 miles
In 3/4, which number goes inside the
division symbol?
4, the bigger number always goes inside unless it says to do the oppisite
The total cost in dollars to buy calculator sets for the students in Mr. Engle’s math class can be found using the function C = 75.95 s + 12.25, where s is the number of calculators purchased. If there are at least 27 students but not more than 31 students in Mr. Engle’s math class, what is the range of the function for this situation?
A {2062.90, 2138.85, 2214.80, 2290.75, 2366.70}
B 0 < c ≤ 2366.70
C 0 < s ≤ 31
D {27, 28, 29, 30, 31}
Ítem: The function f(x) is graphed below. Use the graph of the function to find, f(2). A. -2
B. -1
C.1
Answer:
C. 1
Step-by-step explanation:
f(2) simply means x = 2.
We are trying to find the y-value when x = 2.
According to the graph, when x = 2, y = 1.
Therefore, f(2) = 1.
2x+3=17 and x =7
It’s for algebra class please help my teacher is really strict but okay please thank u a lot
Answer:
The equation is true/ or an identity
Step-by-step explanation:
Plug in 7 for x, you get
2(7)+3=17
14+3=17
17=17
Answer:
14+3=17or(2*7) +3=17basically 17=17Step-by-step explanation:
2x+3=17 and x =7
Let's Substitute:(Because the variable is x and we have a value for it which is 7)(Bold and underlined is where the variable is in the equation)Since x is equal to 7 we are going to substitute it in the equation.
So: (2*7) +3=1714+3=17I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.
Everyone Can Learn and will never stop learning!
Thank you! Hope this helps!Stephen and Alice are reading the same book for a book club. Stephen reads
278 pages in 7 weeks. Alice reads 31 pages each week. About how many more
pages does Stephen read each week than Alice?
20
70
o
10
3. Mr. Matho has a garden in the shape of an equilateral triangle, He has planted a tree in each corner
of his garden; an oak tree, a maple tree, and a pine tree. In order to water his garden, he decides
that the best place to put a sprinkler would be in the middle of the garden, so it would be equidistant
from all three trees. If the perimeter of his garden is 36 m and the sprinkler is 2-3 m from the
fence joining the oak and maple tree, how far away is the sprinkler from any one of the trees?
Answer:
The distance the sprinkler is away from any one tree is 6.32 m if it is 2 m from the fence and 6.71 m if it is 3 m from the fence.
Step-by-step explanation:
Since the perimeter of the triangle P = a + b + c where a, b and c are the length of sides. Since the triangle is an equilateral triangle, a = b = c. So,
P = 3a
a = P/3
Since the perimeter = 36 m,
a = 36 m/3 = 12 m.
Since the sprinkler is 2 m from the fence joining the oak tree and maple tree, thee line perpendicular from the sprinkler to the fence is thus 2 m. This line cuts the side at the midpoint of the fence which is 12 m/2 = 6 m.
Since this is now a right-angled triangle, we now use Pythagoras' theorem to find the distance from the sprinkler to each tree which is
L = √[(2 m)² + (6 m)²]
= √[ 4 m² + 36 m²}
= √40 m²
= 2√10 m
= 6.32 m
If the fence is 3 m from the sprinkler, the distance
L = √[(3 m)² + (6 m)²]
= √[ 9 m² + 36 m²}
= √45 m²
= 3√5 m
= 6.71 m
So, the distance the sprinkler is away from any one tree is 6.32 m if it is 2 m from the fence and 6.71 m if it is 3 m from the fence.
Given g(x) = 2x - 4, solve for x when g(x) = 0
Answer:
2
Step-by-step explanation:
2×2=4 4-4=0 so the answer is 2
Answer:
2
Step-by-step explanation:
g(x)=2x-4
x=? when g(x)=0
we know,
g(x)=2x-4
0=2x-4
4=2x
x=4/2
x=2#
PLEASE HELP I WILL GIVE BRAINLESS i need a word problem for word problem and answer for -2x-22>10 I
Answer:
X < -5I -11
Step-by-step explanation:
Answer:
April had 22 apples. She gave 24 apples to her friend Zack. the number of apples was less than 10. Let X represent the number of apples she gave to zack. I dont think this will but there you go
Step-by-step explanation:
Describe a sequence of transformations that take isosceles trapezoid T to its image T'
Answer:If you rotate trapezoid BEFG counter clockwise 90° then reflected across pointy you will have the image above
Step-by-step explanation:
Transformation involves changing the position of a shape
The transformation from T to T' is a 90 degree counterclockwise
From the figure, we can see that:
The angle between isosceles trapezoid T and its image T' is a right-angle (i.e. 90 degrees)Figure T' is at the right of TThis means that:
A 90 degree counterclockwise through point D will take trapezoid T to T'
Hence, the required transformation is a 90 degree counterclockwise through point D
Read more about transformations at:
https://brainly.com/question/11709244
what is the difference between the mean and the median of the set ( 3 ,8 ,10 ,15)
Answer:
You can think of the mean being acually mean because you have to do more work. When solving for the mean you add all the answers together then divide by the amount of numbers you have. For example, you have the numers (1, 2, 3) add them together (1+2+3) to get 6 then divide by 3 (6/3) to get a mean of two. The median is also fairly easy to remember. You line your numbers up least to greatest, left to right. and mark one off of each side at a time. If you have a even amount of numbers and reach the center, you add the two centers together then divide by to to get the median. If you have an odd amount of numbers, there should be one in the exact center left over.
Step-by-step explanation:
Mean) 3+8+10+15=36, 36/4=9 ANSWER=9
Median) 8+10=18, 18/2=9 ANSWER=9
In the case, the mean and median are the same and depending on context you could choose either method. It also helps that there is no outlyer. If there were on I would recomend finding the median.
what is square root of √120 please help me ?
Answer:
The square root of 120 is about 10.95
Step-by-step explanation:
-3
3m2n)
Which expression is equivalent to
?
6mn-2
Answer:
a
Step-by-step explanation: