Answer:
1/12
Step-by-step explanation:
The probability of rolling an odd number = 3/6
The probability of rolling 2 after an odd number =
1/6
3/6 x 1/6 = 3/36
3/36 = 1/12 (after simplified)
The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches what value is one standard deviation above the mean
What is the value of X to the nearest tenth???
Answer:
11
Step-by-step explanation:
What is the perimeter of a square with an area of 256 cm^2
Answer:
16cm
Step-by-step explanation:
The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16
Answer:
you know that the Area of a square is calculated as S^2 or SxS
to find the side length just do square root of 256
wich is 16 cm
multiply by 4 and the perimeter is 16*4= 64
solve for x using the quadratic formula. x^2+9x+20=0
Answer: x= -4,-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
I can help
Step 1
factor the left sides of the equation
Then you will get (x+4)(x+5)=0
Step 2
You will have to set the factors equal to 0
x=-4 or x=-5
Hope this helped
I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY!!! Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3), B(-3, 3), C(-3, 6), and D(-8, 6)
What is the area of rectangle ABCD
Answer:
15 square units
Step-by-step explanation:
A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.)
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Answer:
a) The mean is 0.05 and the standard deviation is 0.0218.
b) v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.
Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.
This means that [tex]p = 0.05[/tex]
A random sample of n = 100 people
So [tex]n = 100[/tex]
(a) What are the mean and standard deviation of the sampling distribution of p?
Mean [tex]\mu = p = 0.05[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]
The mean is 0.05 and the standard deviation is 0.0218.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
[tex]np = 100*0.95 = 95 > 10[/tex]
[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]
As n(1-p) < 10, it is not approximately normal, option v.
find the domain and range of the function f(x)= 8|x|+sinx
Answer:It’s D
Step-by-step explanation:
edge
5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
Read more about exponential equation at:
https://brainly.com/question/17161065
A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
michelle has four credit cards with the balances and interest rates listed below. She wants to pay off her credit cards one at a time, based on the interest rate. In which order should Michelle pay off her credit cards
Answer:
3,2,1,4
Step-by-step explanation:
What is the opposite of -45?
Answer:
45 or positive 45
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades. The graph below shows the annual growth of the python population from beginning 2000 to 2010. What is the domain of the graph that is shown?
Answer:
x≥0
Step-by-step explanation:
the domain is anything above 0
The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.
As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,
Mathematically,
x ∈ [0, 10] or
0 ≤ x ≤ 10
Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.
Learn more about the function here:
brainly.com/question/5245372
Evaluate f(x)=−5ex+4+3 for x=−6.
Answer:
f(-6) = 30e+7 or 88.55
Step-by-step explanation:
First you want to plug in the -6 into the function getting you:
-5e(-6)+4+3
You can multiply the -5*-6=30
Then add 4+3 giving you 7
So the final answer is 30e+7
Need help asap please help me.
Answer:
the speed of the swimmer increased as the time went up ,the swimmer speed decreased as the time was up
Step-by-step explanation:
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
A $155,000
B-$15,000
C $70,000
D-$85,000
An online music store charges you $5.95 for 5 songs. How much would it cost you to
buy 14 songs?
Answer:
It would cost $16.66
Step-by-step explanation:
To find the individual cost of one song you would divide $5.95 by 5 since that's what it costs for 5 songs. Each individual song costs $1.19. So then you multiply $1.19 by the 14 songs and get the answer of $16.66
PLEASE HELP! IM GIVING BRAINLIEST!
Answer:
1/2 x 1/2= 2/4
Step-by-step explanation:
Answer:
Nicoles pattern is correct
Ians pattern is 0,1,3,7,15,
Coordinate pairs
1,0
5,1
17,3
53,7
161,15
Step-by-step explanation:
Pencil and paper
Which images below are scalene triangles?
Triangle A has three sides each measuring 7 units. Triangle B has two sides that are equal in length, and the base is longer than the two sides. Triangle C has no sides of equal length. Triangle D has sides of length seven, three, and six.
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer:
Triangle C and D
Is your correct answer
Triangle A have 3 sides equal so it is equilateral triangle
Triangle B have 2 sides equal so it is isosceles triangle
Triangle C have no equal sides so it is scalene triangle
Triangle D have no equal sides so it is scalene triangle
Triangles C and D are scalene triangles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle A has three sides each measuring 7 units.
Triangle B has two sides that are equal in length, and the base is longer than the two sides.
Triangle C has no sides of equal length.
Triangle D has sides of length seven, three, and six.
Now, We know that;
A scalene triangle have different sides.
Hence, Triangles C and D are scalene triangles.
Thus, We get;
Triangles C and D are scalene triangles.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ3
I'm. not the best at finding angles sadly
Answer:
obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
LXtra Practice
Set A (pp. 22-23)
Write each number in standard form.
1.
2.
3. 500 + 60 + 6
BB
Answer:
566
Step-by-step explanation:
We need to write the following number in standard form.
500 + 60 + 6
Here, the first no is 500, the second number is 60 and the other number is 6.
It can be done as follows :
500 + 60 = 560
And
560 + 6 = 566
So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.
Please help, I’m not sure if I’m doing this right (math). 9 says 9x-47 btw.
Answer:
<1 = 43
<2= 17
<3= 120
<4=60
<5= 60
<6= 60
<7 =17
<8= 120
<9= 43
Step-by-step explanation:
< 4, <5, <6 are all 60
<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120
<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120
Angles 1 and 9 are congruent
4x+3=9x-47
50=5x
10=x
<1= 4(10)+4= 43
<9-9(10)-47=43
Now you have 2 angles for the triangle A B D- subtract the 2 known from 180
<2= 180-43-120=17
<7= 180-43-120=17
Can someone help me with this please ?
Answer:
radius is 2.5 cm
hope it helps.
Answer:
radius = 2 1/2 cm or 2.5 cm
Step-by-step explanation:
diameter = 5 cm
radius = 5/2 = 2 1/2 cm
Can someone help me pls
Answer:
57°
Step-by-step explanation:
180-56=114
114÷2=57
Answer:
57°
Step-by-step explanation:
AO and BO are both the radius of the circle, so they are equal. Since it makes an iscosoles triangle, angles A and B are equal.
180-66=114
114/2=57
Use the distance that these 9 students skimmer cars traveled in inches to calculate the MIDDLE 50%
468, 376, 540, 198, 230, 531, 281, 426, 346
a. 458 - 353.3
b. 255.5 - 499.5
c. 281 - 468
d. 230 - 531
9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5
Answer:
1/5
Step-by-step explanation:
5 out of 25 reduces to 1 out of 5
Pls help extra points
Answer:
the mean is 7
Step-by-step explanation:
used a mean calculator
Someone please answer this correctly!!
Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.
3 1/4+3/8equals to what?
Answer:
6 5/8
Step-by-step explanation:
Answer:
it equals 29/8 you can also write it as 3 5/8
Step-by-step explanation:
first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps
If y = 8(2. 4)* represents the number of bacteria in a culture at time t, how
many will there be at time t =9 ?
Answer:
21134 bacteria
Step-by-step explanation:
The given parametrs can be interpreted as:
[tex]y = 8(2.4)^t[/tex]
Required
Find y when t = 9
Substitute [tex]t = 9[/tex]
So:
[tex]y = 8(2.4)^9[/tex]
[tex]y = 8 * 2.4^9[/tex]
[tex]y = 8 * 2641.81[/tex]
[tex]y = 21134.48[/tex]
[tex]y = 21134[/tex] --- approximated
Hence, there are 21134 bacteria