Answer:
the first term is -4
the difference is 3.
*notice how each term increases by 3:
-4 + 3 = -1
-1 + 3 = 2
2 + 3 = 5
Step-by-step explanation:
A metal rod will be cut into pieces that are each 1/20 meters long. The rod is 4/5 meters long. How many pieces will be made from the rod?
Write your answer in simplest form.
Identify if the line has a positive or negative slope. Calculate the slope of the line 2y = x - 8
Answer: m = 1/2
Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.
So divide both sides by 2 to get y = 1/2x - 4.
Now the slope is the coefficient of the x term which is 1/2.
This is a positive slope.
please help me please help me
Answer:
9999*999
Step-by-step explanation:
it 6 in the morning
Find the slope and then an equation for each line.
Answer:
need the information
Step-by-step explanation:
What is the length of segment AC?
Answer:
10 units
Step-by-step explanation:
Point A (3,-1)
Point B (-5,5)
Distance between them,
√{(-5-3)²+(5-(-1))²}
= √{(-8)²+6²}
= √(64+36)
= √100
= 10 units
720 companies 8 companies win what is the probability
Step-by-step explanation:
total outcomes = 720
favourable outcomes =8
=8/720
=0.01111
Does the picture below indicate that:
ZJAC ZDBE?
С DA
J
939
A
B
→E
Yes
No
Pls help
Answer:
No
Step-by-step explanation:
The measure of <JAC is shown to be 93°.
The little square symbol inside <DBE shows that <DBE is a right angle.
The measure of a right angle is 90°.
m<DBE = 90°
Congruent angles are angles with equal measures.
Since the measures of angles JAC and DBE are different, they are not congruent.
Answer: No
Kezang was 5 times as old as his son 10 years ago. After 8 years, Kezang will be twice as
old as his son. What are their present age
Work out giving ur answer as a mixer number
Answer:
1 11/20
Step-by-step explanation:
3 3/4 - 2 1/5
Get a common denominator of 20
3 3/4 *5/5 -2 1/5 *4/4
3 15/20 - 2 4/20
1 11/20
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}}[/tex]
see this attachment☝
Successful managers must have personality characteristics often thought of as feminine as well as those thought as masculine. The Ben-Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 144 hotel general managers of three star and four star hotels had mean BSRI masculinity score of 5.91. Assume that the standard deviation masculinity score for all hotel managers is 2.4. What is the margin of error for the sample of hotel managers at 95% confidence?
Answer:
0.392
Step-by-step explanation:
Given :
Sample size, n = 144
Mean score, = 5.91
Standard deviation, σ = 2.4
The margin of error at 95% confidence, α = 0.05
The margin of error = Zcritical * σ/√n
We use Z because we σ is known
Zcritical at 95% = 1.96
The margin of error = 1.96 * 2.4/√144
The margin of error = 1.96 * 2.4/12
= 1.96 * 0.2
= 0.392
!!! HELP ASAP !!! I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!
(b) The area of a parallelogram is 48 cm². If the two adjacent sides are 8 cm and 6 cm, find the length of its diagonal.
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The given area is the product of the side lengths, so the angle between them must be 90°.
Area = ab·sin(C) . . . . . where C is the angle between sides 'a' and 'b'.
48 cm² = (8 cm)(6 cm)·sin(C)
1 = sin(C) ⇒ C = 90° . . . . . . . . divide by 48 cm², find the arcsin
__
The diagonal of the parallelogram (rectangle) can be found from the Pythagorean theorem. (Using the law of cosines would give the same result.)
d² = 8² +6² = 64+36 = 100
d = √100 = 10 . . . . cm
The length of the diagonal is 10 cm.
_____
Additional comment
You may recognize the diagonal and the given sides form a 3-4-5 right triangle with a scale factor of 2. The diagonal will be the hypotenuse of a right triangle only if the parallelogram is a rectangle.
Male bluethroats have a complex song which is thought to be used to attract female birds. Let x denote the duration of a randomly selected song (in seconds) from a male bluethroat. The authors of research on bluethroat song report the mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds. The authors also noted that the song length distribution is not normal.
Required:
a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?
b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.
Answer:
a) Sample size larger than 30, so by the Central Limit Theorem, yes.
b) 0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. The sketch is given at the end.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds.
This means that [tex]\mu = 13.8, \sigma = 11.8[/tex]
Sample of 36
This means that [tex]n = 36, s = \frac{11.8}{\sqrt{36}} = 1.9667[/tex]
a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?
Sample size larger than 30, so by the Central Limit Theorem, yes.
b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.
This is 1 subtracted by the p-value of Z when X = 12. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{12 - 13.8}{1.9667}[/tex]
[tex]Z = -0.915[/tex]
[tex]Z = -0.915[/tex] has a p-value of 0.1801.
1 - 0.1801 = 0.8199
0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds.
Sketch:
I have completed everything except for the last box. Can someone please help me on the last box? Thank you for your help!
Answer:
[tex]2.5\%[/tex]
Step-by-step explanation:
From the Empirical Rule, 95% of the data shown falls between 63 and 95. The other 5% is evenly distributed to each side (since the distribution is bell-shaped), hence there being [tex]\boxed{2.5\%}[/tex] of scores less than 63.
The directions say to give the approximate percentage which is vague. You may have to input [tex]3\%[/tex] if it does not accept [tex]2.5\%[/tex].
1. Define the following: Odds ratio Relative risk 2. Describe how to calculate the Odds ratio and provde the formula. 3. Describe how to calculate the Relative Risk and provide the formula.
Answer and Explanation:
Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.
Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.
38)
A man completes a job in 5 days working 8 hours a day. How many days will he take to complete the same job working 2 hours overtime per day in addition?
Answer:
dbcjchdiskcnbcksksnnckdkxnn
the expression -6x-7(4+3) is equivalent to?
Answer:
x(12y+4)
2 0 l e t t e r s
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. P(X > 3), n = 5, p = 0.2
Answer:
0.0064
0.00032
Step-by-step explanation:
Given the details:
P(X > 3), n = 5, p = 0.2
The binomial distribution is related using the formula:
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 1 - 0.2 = 0.8
P(X > 3) = p(x = 4) + p(x = 5)
P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064
P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032
Is the following shape a square? How do you know?
.8
C.
A
0
O A. No, the opposite sides are not parallel.
B. Yes, the opposite sides are parallel, and all sides are the same
length
O C. No, the sides are not congruent.
D. Yes, the adjacent sides are perpendicular, and all sides are the
same length
PLEASEEEE HELPPPPPPP!!!!!
To find S or T add them together:
3/5 + 1/3
Rewrite the fractions to have a common denominator
9/15 + 5/15 = 14/15
Answer: 14/15
Step-by-step explanation:
Here is your answer . Hope it helps.
6,10,16,24,34 nth term can youll please find
Answer:
the next number is going to be46
Answer:
the next number will be 46
Vertical asymptotes and holes always occur at x values that are??
HELP PLEASE!!
Answer:
These asymptotes are very important characteristics of the function just like holes. Both holes and vertical asymptotes occur at x values that make the denominator of the function zero.
f(x)=-2x^2+x-5 find f(-6)
f(x) = 2x² + x - 5
f(-6) = 2(-6)² + (-6) -5
=> f(-6) = 2(36) -11
=> f(-6) = 72 - 11
=> f(-6) = 61
A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labor and each chair 2 hours of labor. The maximum total hours of labor that the carpenter has at his disposal is 96.
Answer:
Step-by-step explanation:
Can some solve this question for me plz
I think 'D' is the correct answer.
Are the following triangles similar by the angle-
angle similarity theorem?
A.No, the triangles don't have three angles.
B.Yes, one of the triangles is smaller than
the other.
C.Yes, two pairs of congruent angles are
marked.
D.No, the triangles don't share two pairs of
congruent angles.
Answer:
D. No, the triangles don't share two pairs of congruent angles.
Step-by-step explanation:
Two triangles can only be proven similar from the AA (Angle-Angle) similarity theorem if it can be deduced that they share two congruent angles.
In this case, both triangles share one angle, however no other angles can be deduced to be congruent. Therefore, the triangles cannot be proven similar from the AA similarity theorem because they do not share two pairs of congruent angles (corresponds with answer choice D).
Answer:
D.No, the triangles don't share two pairs of congruent angles.
Step-by-step explanation:
We know that angle M equals angle H and that angle I equals the unmarked angle.
We do not know that angle N equals angle O so we cannot state that the triangles are similar
Could someone help me solve this please.
Answer: maybe 20 % at least because it might me adding
Omar keeps his sneaker collection carefully arranged on the floor of his closet. 8 pairs of
sneakers fit perfectly side-by-side from one end of the closet to the other. The closet is 60
inches wide.
How wide is each pair of sneakers?
Answer:
7.5 inches wide. I wasnt wrong. for a second i thought it was asking for the width of each individual sneaker.
Answer:
each pair of sneakers are 7.5 inches wide
Where did this part came from how did this value came from
Answer:
Sin (theta) has the same value for the both value of theta, so both applies.
Answered by GAUTHMATH
PLEASE ANSWER!!
What is the remainder for the synthetic division problem below?
2/ 3 1 2 -7
A. 25
B. 17
C. -29
D. -39
A: 25.
Explanation: Check the attached image.
For synthetic division, you just need to multiply the 1st number of the polynomial by the divisior, and then, add it up to the next number; then, the coefficient will be multiplied by the divisor, and so on and so forth until you reach the last number... that last coefficient at the end is the reminder that you've been asked for
