Answer:
[tex]a_{n}[/tex] = 4n + 11
Step-by-step explanation:
There is a common difference between consecutive terms, that is
19 - 15 = 23 - 19 = 4
This indicates the sequence is arithmetic with explicit rule
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = 4 , then
[tex]a_{n}[/tex] = 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=1). write your answer as a fraction.
Explanation:
P(T = 1) is the notation that means "The probability of getting exactly one tail". The table shows 3/8 in the bottom row, under the "1" in the top row. So that's why P(T = 1) = 3/8
Or it might make more sense to say P(one tail) = 3/8 so we don't have too many equal signs going on.
I don't understand plz help
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
Triangles QST and QSR are congruent, so angle QST is congruent to angle QSR.
(3x +24)° = 30°
3x = 6 . . . . . . . . . divide by °, subtract 24
x = 2 . . . . . . . . . . divide by 3
__
Additional comment
What matters here is the relationship between the two marked acute angles. The fact that point Q is equidistant from the sides of angle TSR tells you that QS is an angle bisector and the two angles have equal measures. (The definition of an angle bisector is that it is equidistant from the sides of the angle.)
Recognition that the two triangles are congruent is another way to see that the marked acute angles have the same measure. The triangle congruence can be claimed on the basis of the HL theorem, since both are right triangles, have the same hypotenuse (QS), and have legs (QT, QR) with the same measure.
I need help with this math problem please
Answer:
option D
Step-by-step explanation:
[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]
[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]
Which system of linear inequalities is represented by
the graph?
+
oyz_x+3 and 3x – y> 2
o ye}x+3 and 3x –y> 2
o y }x+3 and 3x + y> 2
O ya 4x+3 and 2x-y> 2
Answer:
o ye}x+3 and 3x –y> 2 system of linear inequalities is represented by the graph.
PLEASE LET ME KNOW IF ¡ AM WRONG!
The system of linear inequalities represented by the graph is
y ≥ (1/3)x + 3 and 3x - y > 2
Option A is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =≤
Greater than and equal = ≥
We have,
We see that,
When we graph,
y ≥ (1/3)x + 3 and 3x - y > 2 we get the graph shown.
y ≥ (1/3)x + 3
This inequality is positive on the y-axis.
3x - y > 2
3x > 2 + y
This inequality is positive on the x-axis.
Thus,
The system of linear inequalities represented by the graph is
y ≥ (1/3)x + 3 and 3x - y > 2
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A ream of a certain brand of paper weighs about 4.533 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper weigh?
Step-by-step explanation:
As a ream or
500
sheets of paper weigh
4.818
pounds
One sheet of paper weighs
4.818
500
=
0.009636
pounds.
It is apparent that pound is too big a unit for a sheet of paper.
As each pound has
16
ounces, one can say
one sheet of paper weighs
0.009636
×
16
=
0.154176
ounces.
If ounce is too big, as we have
1
pound equal to
28.34952
grams
one sheet of paper weighs
0.154176
×
28.34952
≈
4.371
grams
please mark as brainliest
ANSWER ALL QUESTIONS
1. In a class of 28 pupils, 13 have pencils, 9 have erasers and 9 have neither pencils nor erasers. How
many pupils have both pencils and erasers?
2. A universal set, U consists of prime numbers with P and Q as subsets of U. If P and Q are given by
P = {n: 3(n + 1) = 2(n + 10)}, and Q = {n: 7<n<31}, list the elements of P n Q.
1. 3
29-9=19
13+9=22
22-19=3
I don't know number 2, sorry.
Answer all question
1.There is a circular path around a sports field. Erica takes 18 minutes to drive one round of the field.
Harriet takes 12 minutes. Suppose they both start at the same point and at the same time and go in
the same direction, after how many minutes will they meet?
2. Round the following to four significant figures.
i. 0.00095897
ii. 24596
Answer:
1. LCM of 18 & 12 = 36 minutes
2. 0.00095897
explanation.
2 18 2 12
____I______ ___l_________
3 9 2 6
____l_______. ___I_________
3 3 3 3
_____l________. ___l_________
l 1
18= 2×3×3 12=2×2×3
1 2 2 1
=1 × 3 =2 × 3
L.C.M= product of greatest power of each prime factor.
2 2
= 2 × 3
=4×9 = 36
hence, time taken by both to meet again
LCM of 18 & 12 =36 minutes
The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75 beats per minute. Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that is approximately normal.
Required:
a. What is the probability that the heart rate is less than 25 beats per minute?
b. What is the probability that the heart rate is greater than 60 beats per minute?
c. What is the probability that the heart rate is between 25 and 60 beats per minute?
Answer:
a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.
b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.
c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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.
Mean:
[tex]\mu = 47[/tex]
(95% of data) range from 19 to 75 beats per minute.
This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So
[tex]4\sigma = 75 - 19[/tex]
[tex]4\sigma = 56[/tex]
[tex]\sigma = \frac{56}{4} = 14[/tex]
a. What is the probability that the heart rate is less than 25 beats per minute?
This is the p-value of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 47}{14}[/tex]
[tex]Z = -1.57[/tex]
[tex]Z = -1.57[/tex] has a p-value of 0.0582.
0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.
b. What is the probability that the heart rate is greater than 60 beats per minute?
This is 1 subtracted by the p-value of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 47}{14}[/tex]
[tex]Z = 0.93[/tex]
[tex]Z = 0.93[/tex] has a p-value of 0.8238.
1 - 0.8238 = 0.1762
0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.
c. What is the probability that the heart rate is between 25 and 60 beats per minute?
This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So
0.8238 - 0.0582 = 0.7656
0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute
At a school camp there is enough foot for 150 students for 5 days.
Q: How long would the food last if there were only 100 students?
Answer:
Step-by-step explanation:
you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed
PLEASEEEEEE HELPPPPPP IM BEGGGGINGGG SOMEONE PLEASEEEEE PLEASEEEEEEE
Answer:
x+120°+20°=180°[ sum of interior angle of triangle]
x+140°=180°
x=40°
then,
x+y= 180°[being straight line]
40°+y= 180°
y=140°
State whether the data described below are discrete or continuous and explain why?
The distance between cities in a certain contry.
a. The data are discrete because the data can only take on specific values.
b. The data are discrete because the data can take on any value in an interval.
c. The data are continuous because the data can take on any value in an interval.
d. The data are continuous because the data can only take on specific values.
Answer:
c. The data are continuous because the data can take on any value in an interval.
Step-by-step explanation:
Discrete data are those which can take up only specific values. Discrete data values may include the number of children in a particular school, the number of visitors received per day. All this values are specific and cannot just take up any number one f values within an interval. Continous data on the other hand can take up any number of data values between an interval. Continous data types are usually height temperature, length(distance data). There can be infinite number of possible data within interval values.
Which graph has a slope of 4/5
Answer: whichever graph that goes up 4 and over 5
Step-by-step explanation:
rise over run, 4 up, 5 right
to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)
Find the area of the sector in
terms of pi.
120°
24
Area = [?] π
Enter
In how many ways can the letters in the word 'Illinois' be arranged?
Answer
How to enter your answer
Answer:
The numbers of ways to permute letters of the word Illinois if the two Ls must be consecutive is 7.
The word ILLINOIS contains 7 letters.
How do you find the number of distinguishable permutations of the letters in a word?To estimate the number of different permutations, consider the total number of letters factorial and divide by the frequency of each letter factorial. The little n's exist the frequencies of each various (different) letter.
We will use the formula for the number of permutations with imperceptible objects. Since the two L's must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS contains n = 7 letters: 3 I's, 1 LL, 1 N, 1 O, and 1S.
Hence the number of methods to permute letters of the word ILLINOIS if the two L's must be consecutive exists:
[tex]$\frac{7 !}{3 ! 1 ! 1 ! 1 ! 1 !}=7 \cdot 6 \cdot 5 \cdot 4=840 \text {. }$$[/tex]
The word ILLINOIS contains 7 letters.
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Write the quadratic equation whose roots are - 6 and -4, and whose leading coefficient is 4.
(Use the letter x to represent the variable.)
Answer:
Step-by-step explanation:
y=4(x+6)(x+4)
y=4(x^2+10x+24)
Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs
$14 and there are an assortment of snacks available to purchase for $3.50
each. How much total money would Carson have to pay for his family if he
were to buy 2 snacks for everybody to share? How much would Carson have
to pay if he bought x Snacks for everybody to share?
Total cost with 2 snacks:
Total cost with x sn
acks:
49 dollars
Step-by-step explanation:
14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.
Total cost with 2 snacks = $35
Total cost with x snacks = 28+3.50x
Given :
Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.
Explanation :
Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.
Total cost = cost of ticket (2 kids) + cost of 2 snacks
[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]
Total cost with 2 snacks = $35
Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks
[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]
Total cost with x snacks = 28+3.50x
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what is the solution for 3(x+3)=12
Answer: 3×4=12
Step-by-step explanation:
Brackets: X=1 , so 1+3=4 and 3+4=12
When sample size increases:____.
A. Standard deviation of the sample mean increases.
B. Confidence interval remains the same.
C. Confidence interval increases.
D. Confidence interval decreases.
Answer:
D. Confidence interval decreases.
Step-by-step explanation:
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.
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]
When sample size increases:
The standard deviation of the sample mean is:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.
This means that the correct answer is given by option D.
a bag contains 5white and 3red identical balls.if the balls are drawn at random after the other without replacement. what is the probability that the first red ball is picked at fifth draw
Answer:
2/7
Step-by-step explanation:
George bought a shirt and a pair of pants at a clothing store. The pants cost $5.33 more than the shirt, and he used a $10 off coupon to purchase the shirt. The equation below is used to determine the cost of the shirt before the coupon, s.
Answer:
15.99
Step-by-step explanation:
5.33+5.33+5.33
If someone can pls give the answer with steps that would be greatly appreciated :)
Answer:
Slope = 3
intercept = 2
y = 3x + 2
angle y = 70
angle x = 110
Step-by-step explanation:
According to the tables used by insurance companies, a 48-year old man has a 0.169% chance of
passing away during the coming year. An insurance company charges $217 for a life insurance policy
that pays a $100,000 death benefit.
What is the expected value for the person buying the insurance?
Answer:
The expected value for the person buying the insurance is of -$48.
Step-by-step explanation:
Expected value:
0.169% = 0.00169 probability of earning the death benefit of $100,000, subtracting 217, 100000 - 217 = $99,783.
100 - 0.169 = 99.831% = 0.99831 probability of losing $217.
What is the expected value for the person buying the insurance?
[tex]E = 0.00169*99783 - 0.99831*217 = -48[/tex]
The expected value for the person buying the insurance is of -$48.
What is the range of g(x) = -2 [X + 3] + 2?
Answer:
A.
Step-by-step explanation:
When x = -3 g(x) = + 2 and this is the maximum value of g(x).
All other values of x give a value of g(x) < 2.
The range is (-∞, 2]
B
(3y + 11)
116°
4y
р с
А
Find the measure of ZA.
mZA
Answer:
an exterior angle is equal to the sum of the two opposite interior angles.
3y + 11 + 4y = 116
Step-by-step explanation:
First combine like terms 7y + 11 = 116
Then undo addition or subtraction.
Then undo multiplication and division to get the value of y.
Which of the following is a benefit of doing business with an online bank?
A. Greater variety of services
B. Personalized service
Ο Ο
C. Variety of deposit locations
O
D. Typically higher savings rates
If someone can pls give the answer with steps that would be greatly appreciated :)
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The measures of [tex]x[/tex] and [tex]y[/tex].
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
An exterior angle of a triangle is equal to sum of two opposite interior angles.
And so we have,
[tex] 40° = 70° + y[/tex]
[tex]➪ \: y= 40° - 70°[/tex]
[tex]➪ \: y = - 30°[/tex]
Also,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
[tex]y[/tex] + [tex]x[/tex] = [tex]180°[/tex]
[tex]➪ \: -30° + x= 180°[/tex]
[tex]➪ \:x = 180° + 30°[/tex]
[tex]➪ \:x = 210°[/tex]
[tex]\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:"x=210°"\:and\:"y=-30°.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
help me please it’s timed !!!
While
AB is A. 5Welcome :)9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)
Answer:
[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]
Find the value of x.
Plz help :/
Answer:
10
Step-by-step explanat
ion:
Help with #15 please
Answer:
3 gallons of carpet shampoo
Step-by-step explanation:
room area: 16 * 15 = 240 ft
1 gallon carpet shampoo: 80 ft
240/80 = 3
3 gallons of carpet shampoo are needed.
