Answers
Answer:
The 52th card that was dealt was an 8.
Step-by-step explanation:
The total value of the entire deck is [tex]4(1 + 2 + \cdots + 9 + 10 \cdot 3) = 4(\frac{10 \cdot 11}{2} + 20) = 220 + 80 \equiv 0 \mod 10.[/tex]
The total value of the 51 cards face-up is congruent to [tex]0 + 3 + 6 + 1 + 10 + 10 + 4 + 8 = 42 \equiv 2 \mod 10.[/tex]
The 52th card must therefore be an 8 for the total value of the entire deck to be 8 mod 10. (Or, rather, we have that the last card must be [tex]0-2 \equiv 8 \mod 10[/tex] and the only card that is congruent to that value modulo 10 is the 8.)
Related Questions
Of interest is to determine the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. A simple random sample of 31 students enrolled in graduate programs was selected, and the age of each student when they took the comprehensive exam was recorded. The mean age at the time of taking the comprehensive exam for this sample of 31 students was 27.5 years with a standard deviation of 2.9 years; there were no outliers in the sample that would lead one to suspect heavy skewness in the distribution. If appropriate, use this information to calculate and interpret a 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. Use this information to answer questions 3-5
Answers
Answer:
The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 31 - 1 = 30
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years
The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years
The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.
what is the slope of any line parallel to the line 9x+4y=7?
Answers
Answer:
-9/4
Step-by-step explanation:
First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.
NCERT SOLUTIONS FOR CLASS 7
MATHS
ALL CHAPTERS
Answers
Answer:
https://www.learncbse.in/ncert-solutions-for-class-7-maths/
There are 16 kilometers in 10 miles how many kilometers are in 5 miles?
Answers
Answer:
8 kilometers
Step-by-step explanation:
So like how do I do this?
Answers
Answer:
Step-by-step explanation:
The legs of the triangle have lengths 9 and 12. The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].
[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]
Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)
There are infinitely many of these triples: 3,4,5 5,12,13 are examples. The triple in this problem is 3 times the 3,4,5 triple.
x= 15
No
H²= O²+A²
x²= 9²+12²
x²= 81+144
x²= 225
x= √225
x= 15
(8+2b)+(-4+6x)+(6+9m)
Answers
Answer:
2 b + 9 m + 6 x + 10
Step-by-step explanation:
2 b + 4 + 6 x + 6 +9 m
2 b + 6 x + 10 + 9m
2 b + 6 x + 9 m + 10
= 2 b + 9 m + 6 x + 10
Answer:
multiply the +sign with the second bracket.Also do the same with the third bracket.But for the first bracket just remove the bracket and then correct the like terms and solve itS) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answers
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
HELP ASAP
photo attached
Answers
Answer:
D. undefined
General Formulas and Concepts:
Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Derivatives of Parametrics: [tex]\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{dx}{dt} = 5[/tex]
[tex]\displaystyle \frac{dy}{dt} = sin(t^2)[/tex]
Step 2: Differentiate
[x Derivative] Basic Power Rule: [tex]\displaystyle \frac{d^2x}{dt^2} = 0[/tex][y Derivative] Trig Derivative [Chain Rule]: [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2][/tex][y Derivative] Basic Power Rule: [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}[/tex][y Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)[/tex][Derivative] Rewrite: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}[/tex]Anything divided by 0 is undefined.
Topic: AP Calculus BC (Calculus I/II)
Unit: Differentiation with Parametrics
Book: College Calculus 10e
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
Answers
Answer:
Tn = 4(-6)^n-1
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
The sequence is a geometric sequence
Tn = ar^n-1
a is the first term
a = 4
r = -24/4 =144/-24
r = -6
Substitute
Tn = 4(-6)^n-1
Evaluate 5/8 × 5/9 Give your answer in its simplest form.
Answers
Answer:
[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]
Answer:
25 / 72
Step-by-step explanation:
5/8 x 5/9 =
5 x 5 / 8 x 9 =
25/72
Please help this is due tonight
Answers
149
Explanation
It adds up to 360 so add all the numbers together and take it away from 360
Solve the expression. 8 + (37-19)
Answers
Answer:
26
Step-by-step explanation:
Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?
Answers
Answer: Approximately 14.647147438893 meters
Round this value however you need.
===============================================================
Explanation:
Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.
Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.
The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.
Here's what we have so far:
side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degreesWe can apply the law of sines to find side 'a'.
a/sin(A) = c/sin(C)
a/sin(47) = 20/sin(93)
a = sin(47)*( 20/sin(93) )
a = 14.647147438893
Make sure your calculator is in degree mode.
The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.
Please evaluate 7/13×8/11
should be in fraction form!
will be marked brailiest
Answers
Answer:
56/143 ([tex]\frac{56}{143}[/tex])
Answer:56/143
Step-by-step explanation:
11. In circle H, if mDHG = (11x - 36)* and mGHF = (x + 12), find mDG.
Answers
mˆDG=151∘∘
An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string
The measure of angle ∠DHG of the circle is = 151°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the measure of angle ∠DG of the circle be A
Now , the value of A is
Let the measure of m∠DHG = ( 11x - 36 )°
The measure of m∠GHF = ( x + 12 )°
And , the angles m∠DHG = m∠EHF ( vertically opposite angles )
And , the angles m∠GHF = ∠DHE ( vertically opposite angles )
So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360° ( total angle of a circle = 360° )
On simplifying , we get
2 ( 12x - 24 ) = 360
Divide by 2 on both sides , we get
12x - 24 = 180
Adding 24 on both sides , we get
12x = 204
Divide by 12 on both sides , we get
x = 17
Now , the measure of m∠DHG = ( 11x - 36 ) = 151°
Hence , the measure of m∠DHG of circle is 151°
To learn more about central angle click :
https://brainly.com/question/11877137
#SPJ7
An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. The coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. The remaining 15 athletes did not participate in any type of flexibility program during the four weeks.
Which statements about this study are true?
This study uses random sampling.
This study uses a control group.
This study uses a repeated measures design.
This study uses blocking.
This study uses blinding.
Answers
The TRUE statements about the study described above are :
• USE OF RANDOM SAMPLING
• USE OF A CONTROL GROUP
When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.
Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.
The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.
Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.
Learn more : https://brainly.com/question/14735769
Answer:
This study uses random sampling.
Step-by-step explanation:
i got it wrong
Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21
Answers
Answer:
Is C.$24 I use the I=Prt
Which number line is the correct solution to y z l?
-5
43 -2 -1 0
1
2
3
4
5
B
-5
4 -3 -2
-
0
2
3
5
4
-5
-3
-2 -1
o
2
3
D
-5 4 3 2 1
2
Answers
9514 1404 393
Answer:
A C D AStep-by-step explanation:
These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.
__
1. The "slope-intercept form" of a linear equation is ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
Note that the left side is "y =", eliminating the last two answer choices.
The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...
y = 2x + 5 . . . . matches A
__
2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.
graph C is the appropriate representation
__
3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.
126 < -7x . . . . given
126/-7 > x . . . . divide both sides by the coefficient of x, -7
-18 > x . . . . . matches D
__
4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...
A: 90° . . . . the correct answer choice
B: 100°
C: 180°
D: 185°
help meeeeeeeeeeeeeeeee
Which is larger, 8 tons or 14,000 pounds?
Answers
Answer:
tons pounds
7 14,000
8 16,000
so 8 tons
Step-by-step explanation:
Answer:
8 tons is larger than 14,000 pounds.
Step-by-step explanation:
Here is my explanation:
One ton (same thing as a short ton) is equivalent to 2,000 pounds.
So 8 tons is basically just 2,000 * 8 which is equal to 16,000.
Hope this helps!
Weird math question.
Answers
Answer:
It is 4/11
Step-by-step explanation:
Let x = 0.363636363636
Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get
100x = 36.363636363636
Now subtracting first equation from second we get
99x = 36
and hence
x = 36/ 99
= (9 × 4) / (9 × 11)
which then equals
= 4/11
Answer:
It is 4/11
Step-by-step explanation:
Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?
Answers
find the missing side of each triangle
Answers
Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
#teamtrees #PAW (Plant And Water)
Write each equation in slope-intercept form.
12y =(8x - 48)/3
Answers
Answer:
y=(2/9)x-(4/3)
Step-by-step explanation:
12y=(8x-48)/3
multiply by 3 on both sides
36y=8x-48
divide by 36 on both sides
y=(8/36)x-(48/36)
simplify fractions
y=(2/9)x-(4/3)
Thirty two students try out for the basketball team. There are 5 players on the court during a game and the coach wants three times as many players on the team. How many students will NOT be a part of the basketball team?
Answers
Answer:
17
Step-by-step explanation:
I NEED HELP PLZ!!!!!!!
Answers
Answer: what's up?
Step-by-step explanation:
13. Find the measure of angle ABC. B 8x 6x 6x A С
Answers
Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
#LearnWithBrainly
Geometry Question, please help! WORTH 20 POINTS
Answers
Answer:
zy = 65
Step-by-step explanation:
a full circle is 360*
half of that is 180*
180 - 115 = 65
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answers
Answer:
i think its 28.27
Step-by-step explanation:
Step-by-step explanation:
[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]
Volume = 3.14×2.25×4 = 28.26 yd³
Why correlation does not prove causation ?
Answers
Answer:
here you go
Step-by-step explanation:
"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder
Why does correlation not equal causation example?
It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.
Write the equation in standard form for the circle with center (0,
–
8) and radius 2
19.
Answers
Use this link to find your answer
https://lalinks.org/linksweb