In a normal distribution, what percentage of scores fall between –1 and +1 standard deviation units of the mean?
The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.) Image of a coordinate grid with point P located at negative 10, 15 and point T located at 15, 15.
Answer:
The distance between P and T on the coordinate grid is 25 units.
Step-by-step explanation:
Coordinate of P = (-10,15)
Coordinate of T = (15,15)
By distance formula we have distance between ( a,b) and (c,d) is
[tex]\sqrt{(c-a)^2)+(d-b)^2}[/tex]
Here (a,b) = Coordinate of P = (-10,15) and (c,d) = Coordinate of T = (15,15)
Substituting
[tex]\texttt{Distance =}\sqrt{(c-a)^2)+(d-b)^2}=\sqrt{(15-(-10)^2)+(15-15)^2}=\sqrt{25^2}=25units[/tex]
The distance between P and T on the coordinate grid is 25 units.
Sv02 change before you start slowing the draw time on your mixed venous sample 4%
a rectangle has perimeter 182 inches and length 52 inches what is the width
Which normal distribution has a wider spread: the one with mean 3 and standard deviation 4 or the one with mean 4 and standard deviation 3 ? the normal distribution with mean 4 and standard deviation 3 has the wider spread?
Answer:
The correct option is 1. The normal distribution with mean 3 and standard deviation 4 has a wider spread.
Step-by-step explanation:
Normal distribution is defined by two variables, mean and standard deviation.
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
The spread of a normal distribution is not dependent on mean, it is completely dependent of standard deviation. Larger standard deviation means wider spread.
It is given that first normal distribution has
[tex]\mu_1=3[/tex]
[tex]\sigma_1=4[/tex]
Second normal distribution has
[tex]\mu_2=4[/tex]
[tex]\sigma_2=3[/tex]
Since [tex]\sigma_1>\sigma_2[/tex], therefore the normal distribution with mean 3 and standard deviation 4 has a wider spread.
Hence the correct option is 1.
Final answer:
The normal distribution with a mean of 3 and a standard deviation of 4 has a wider spread than a normal distribution with a mean of 4 and a standard deviation of 3, as the spread is determined by the standard deviation.
Explanation:
The question is asking which of the two normal distributions has a wider spread. The spread of a normal distribution is determined by its standard deviation. A normal distribution with a higher standard deviation will have a wider spread. In this case, the normal distribution with a mean of 3 and a standard deviation of 4 will have a wider spread compared to the normal distribution with a mean of 4 and a standard deviation of 3. Thus, the statement 'the normal distribution with mean 4 and standard deviation 3 has the wider spread' is incorrect.
In a normal distribution, as the standard deviation increases, the distribution curves become wider and shorter, reflecting a greater spread in the data. Because both distributions are normally distributed, we can compare the standard deviations directly to determine the spread: a standard deviation of 4 indicates a wider spread than a standard deviation of 3.
If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x = 7, then 7x – 2 = 47. Statement 2: x = 7
Answer:
x=7
Step-by-step explanation:
The Law of Detachment can be used to conclude that 7x - 2 = 47.
Explanation:The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then its conclusion must also be true. In this case, Statement 1 is a conditional statement: 'If x = 7, then 7x - 2 = 47.' Statement 2 tells us that x = 7. Since the hypothesis of Statement 1 is true (x = 7), we can apply the Law of Detachment to conclude that its conclusion must also be true. Therefore, we can validate Statement 1: '7x - 2 = 47.'
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The value of -4^2 is _____.
16
-16
8
18
Someone please help me
the first one,
Scientific notation has to have a number to the left of the decimal point
lincoln high school has 98 teachers. of them 48 teachers, 9 of them teach math. one-fifth of them teachers teach math
on vacation, your family decides to rent a car. The total cost involves the one time rental fee of $56.34 and $0.49 per mile
Which expression represents the total rental cost in terms of the rental fee and the cost per mile
A. 56.34 +.49x
B.56.34 - .49x
C. -56.34 - .49x
D. 56.34x + .49
For the questions, imagine a segment in a plane. Use that information to help you answer the questions.
1. How many midpoints does the segment have?
a. one
b. two
c. indfinitely many
d. none
2. How many bisectors does the segment have?
a. one
b. two
c. indfinitely many
d. none
3. How many lines in the plane are perpendicular bisectors of the segment?
a. one
b. two
c. indfinitely many
d. none
Which angle pairs are supplementary ?
Answer:
4,5
Step-by-step explanation:
Need help asap please!
Suppose a1={1,{2}}a1={1,{2}} and a2={∅,{1,2}}a2={∅,{1,2}} and a3={∅,{1},2}a3={∅,{1},2}. enter "t" for each true, and "f" for each false statements. f equation editorequation editor 1. |p(a2)|=4|p(a2)|=4 t equation editorequation editor 2. a1⊆a3a1⊆a3 f equation editorequation editor 3. {∅}⊆p(a1){∅}⊆p(a1) f equation editorequation editor 4. |p(a2)|=8|p(a2)|=8 f equation editorequation editor 5. {1,2}∈p(a3){1,2}∈p(a3) f equation editorequation editor 6. (∅,2)∈p(a1)(∅,2)∈p(a1) f equation editorequation editor 7. {1}∈p(a1){1}∈p(a1) f equation editorequation editor 8. {∅}∈p(a2){∅}∈p(a2) f equation editorequation editor 9. {{1}}∈p(a3){{1}}∈p(a3) f equation editorequation editor 10. {1}∈p(a3){1}∈p(a3) f equation editorequation editor 11. {{1,2}}⊆p(a2)
A cube an edge length is 18in. What is it's volume?
Daniel got a life insurance check of $5875 after the death of a close relative. He deposited it into a savings account at 1.7 percent interest for five years. What was the total amount of money in the account after five years?
A. $6462.50
B. $6433.13
C. $6374.38
D. $6315.63
a container holds 2 gallons of juice. how much is this in pints
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's steps catch up to Dori's steps?
Hank delivers packages in his office building on Tuesday he delivers four more packages then on Monday and on Wednesday he delivered six more packages then on Monday if he delivers 28 packages all together how many did he deliver on Monday??
A)6
B)10
C)18
D)22
6 i hope this helps you
how to write this number 2,015,473 in expanded form
A submarine was situated 800 feet below sea level. If it's ascends 250 feet, what is its new position?
A store is having a sale on almonds and jelly beans. For 8 pounds of almonds and 3 pounds of jelly beans, the total cost is $18 . For 2 pounds of almonds and 5 pounds of jelly beans, the total cost is $13 . Find the cost for each pound of almonds and each pound of jelly beans.
By setting up a system of equations and solving them, we find that the cost per pound of almonds is $1.50, and the cost per pound of jelly beans is $2.00.
To find the cost for each pound of almonds and each pound of jelly beans, we can set up two equations to solve the problem algebraically. Let's denote the cost per pound of almonds as a and the cost per pound of jelly beans as b. We have two scenarios provided:
8 pounds of almonds and 3 pounds of jelly beans cost a total of $18.
2 pounds of almonds and 5 pounds of jelly beans cost a total of $13.
We can translate these scenarios into two algebraic equations:
8a + 3b = 18
2a + 5b = 13
Now, we will solve this system of equations to find the values of a and b.
Step 1: Multiply Equation (2) by 4
8a + 20b = 52 (We multiplied all terms by 4 to match the coefficient of a in Equation (1))
Step 2: Subtract Equation (1) from the new equation
8a + 20b - (8a + 3b) = 52 - 18
17b = 34
Step 3: Solve for b
b = 34 / 17
b = 2
Now we know each pound of jelly beans costs $2.
Step 4: Substitute b back into Equation (1) to solve for a
8a + 3(2) = 18
8a + 6 = 18
8a = 12
a = 12 / 8
a = 1.5
So, each pound of almonds costs $1.50.
Therefore, the cost per pound of almonds is $1.50, and the cost per pound of jelly beans is $2.00.
If the equation of a line has a slope of zero and passes through the point (3,3) which form would be used to write the question of the line
Assume that f is a one-to-one function. (a) if f(1) = 12, what is f −1(12)
What is the difference between a buffalo and a birthday cake?
Answer:
The buffalo is an animal and the birthday cake is a food.
Step-by-step explanation:
Hi, Buffaloes are heavily built oxen, with sparsely haired skin, large ears, long, tufted tails, broad muzzles and massive angulated horns. In having only 13 pairs of ribs they resemble the typical oxen. African buffaloes all have the hair of the back directed backwards.
A birthday cake is like a normal cake but made for the special celebration of birthdays.
The product of two consecutive even integers is 288 find the integers.
Which numbers are a distance of 3 units from 12 on a number line?
Answer:
Probably 15 and 9
Kelsey is asked to find the probability of rolling a composite number on a die. She states that this is a simple event. True or false
Find the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ).
Answer:
(0, 5/8)
Step-by-step explanation:
construct a recursive rule to describe the sequence: 2, 4, 6, 8,...
Answer:
a[1] = 2; a[n] = a[n-1] + 2
Step-by-step explanation:
The first term of the sequence is 2, so the first part of the definition is ...
a[1] = 2
Each term is 2 more than the previous one, so the rest of the definition is ...
a[n] = a[n-1] + 2
_____
Comment on recursive rules
A recursive rule has two parts. The first part tells what the initial value of the sequence is. The second part relates the next term to the previous term or terms.
For arithmetic and geometric sequences, each term is related to the previous term by a constant. For an arithmetic sequence, each term is the last term plus the common difference. For a geometric sequence, each term is the last term multiplied by the common ratio.
For the arithmetic sequence 2, 4, 6, 8,.., the recursive rule can be written as: the first term a_1 is 2, and for all subsequent terms (n > 1), a_n equals the previous term a_(n-1) plus 2.
Explanation:The sequence given is an arithmetic sequence, where each term increases by 2. A recursive sequence is a sequence in which each term is defined based on its preceding terms. For the sequence 2, 4, 6, 8,... the recursive rule can be constructed as follows:
a_1 = 2
a_(n) = a_(n-1) + 2 for n > 1
In these rules, a_1 is the first term in the sequence, and a_(n) is the nth term of the sequence. a_(n-1) represents the term before the nth term in the sequence. This rule states that each term in the sequence is 2 more than the previous term.
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