Answer:
0 belongs to the set of whole number,set of rational numbers,set of real numbers and integers
Step-by-step explanation:
Find the rate of change and describe it in context. # of tickets 5, 6, 7, 8 Total cost 75, 90, 105, 120
Answer:
The cost of 1 ticket is 15 dollars
Step-by-step explanation:
The rate of change is another word for slope
m = (y2-y1)/(x2-x1)
= (90-75)/(6-5)
= 15/1
The cost of 1 ticket is 15 dollars
The rate of change is a ratio that compares the change in y/change in x.
We can see that the y-values increase by 15 each time and
we can see that the x-values increase by 1 each time.
So the change in y/change in x is 15/1.
This means that for every ticket bought, you pay $15.
On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3
the way from A to B?
Answer:
2
Step-by-step explanation:
The distances have the ratio:
(C -A) = (2/3)(B -A)
C = (2/3)B +(1/3)A . . . . . add A
C = (2B +A)/3 . . . . . . . . combine terms
C = (2(4) +(-2))/3 = 6/3 = 2
The coordinate of C is 2.
If a menu has a choice of 4 appetizers, 5 main courses, and 5 desserts, how many dinners are possible if each includes one appetizer, one main course, and one dessert?
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 60 cm, find ts area.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{125 \: {cm}^{2} }}}}}[/tex]
Step-by-step explanation:
Let the width be 'w'
Length of a rectangle = 5w
Perimeter of a rectangle = 60 cm
Area of a rectangle = ?
First, finding the value of width ' w '
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
plug the values
⇒[tex] \sf{60 = 2(5w + w)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{60 = 10w + 2w}[/tex]
Collect like terms
⇒[tex] \sf{60 = 12w}[/tex]
Swap the sides of the equation
⇒[tex] \sf{12w = 60}[/tex]
Divide both sides of the equation by 12
⇒[tex] \sf{ \frac{12w}{12} = \frac{60}{12} }[/tex]
Calculate
⇒[tex] \sf{w = 5}[/tex] cm
Finding the value of length ( l )
[tex] \sf{length = 5w}[/tex]
Substitute the value of w
⇒[tex] \sf{length = 5 \times 5}[/tex]
⇒[tex] \sf{length = 25 \: cm}[/tex]
Finally, Finding the area of rectangle having length of 25 cm and width of 5 cm
[tex] \boxed{ \sf{area \: of \: a \: rectangle = l \times b}}[/tex]
plug the values
⇒[tex] \sf{area \: = \: 25 \times 5}[/tex]
Multiply the numbers
⇒[tex] \sf{area \: = \: 125 \: {cm}^{2} }[/tex]
Hope I helped!
Best regards!!
Which numbers are prime numbers? Check all that apply.
3
1
27
9
11
13
Answer:
3,11,13 are the prime numbers.
Answer:
1, 3, 11, 13
Step-by-step explanation:
you can't multiply two numbers to equal them
Name all the sets of -15 The real Numbers
The real numbers is one set, and so is the the set of integers since this set is { ..., -3, -2, -1, 0, 1, 2, 3, ...} composed of positive and negative whole numbers, along with 0.
The value -15 is also in the rational set because we can write it as a fraction of two integers: -15 = -15/1
The 3 answers are: real numbers, integers, rational numbersf(x) = -×-3
find f(-4)
Answer:
Hey there!
Original function: f(x)=-x-3
Substituting -4: f(-4)=4-3
Simplify: f(-4)=1
Let me know if this helps :)
F(x) = -x - 3
F(-4)
Replace x with -4 and solve:
F(-4) = -(-4) -3
-(-4) = positive 4
So you have 4-3
4-3 = 1
F(-4) = 1
h(x)=x2+1 k(x)=x-2
(h-k)(3)
Answer:
(h-k)(3) = 9Step-by-step explanation:
h(x) = x² + 1
k(x) = x - 2
To find (h-k)(3) we must first find (h - k)(x)
To find (h - k)(x) subtract k(x) from h(x)
That's
(h - k)(x) = x² + 1 - ( x - 2)
(h - k)(x) = x² + 1 - x + 2
(h - k)(x) = x² - x + 1 + 2
We have
(h - k)(x) = x² - x + 3
To find (h-k)(3) substitute the value of x that's 3 into (h - k)(x) that's replace every x in (h - k)(x) by 3
We have
(h-k)(3) = (3)² - 3 + 3
= 9 - 3 + 3
= 9 - 0
We have the final answer as
(h-k)(3) = 9Hope this helps you
−7x−9 from -4x^2+3x-5−4x
2
+3x−5.
Answer:
− 4 x ^2 + 2 x − 8
Step-by-step explanation:
Subtract 4 x from 3x. (-4x^2+3x-5−4x)
= -4x^2-x-5
Subtract 5 from 2 (2 +3x−5)
= 3x-3
Put it together (-4x^2-x-5+3x-3)
Simplify the expression.
Answer = -4x^2+2x-8
I've been stuck can someone help me
3.5,
since 3350/670 = 5, we know that the 2345.0/670 = 3.5
Answer:
3.5
Step-by-step explanation:
1. divide 3350/670=5
2. place the 5 in the spot above, which is right after the decimal
Rosa had 4 dozen beads. She split them into 6 equal groups and gave two groups to her friend. How many beads did Rosa have then?
Answer: 32
Step-by-step explanation:
4 dozen beads is 48 beads. Divide 48 into 6 groups, and your answer is 8. If Rosa gave 2 groups to her friend, she gave 16 beads, which leaves her with 32 beads.
Answer: 32
Step-by-step explanation:
1 dozen = 12.
4 dozen x 12 = 48.
48 ÷ 6 = 8
If she gave two groups of 8 beads, that is 16 beads.
48 beads - 16 beads = 32 beads.
The answer is 32 beads.
In a sample of U.S. adults, think that most celebrities are good role models. U.S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is nothing. (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is nothing. (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models is nothing. (Round to three decimal places as needed.)
Complete question is;
In a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.adults, complete parts (a) through (c).
(a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is ________?(Round to three decimal places as needed.)
(b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is _______?(Round to three decimal places as needed.)
(c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models ______? (Round to three decimal places as needed.)
Answer:
A) 0.062
B)0.564
C)0.436
Step-by-step explanation:
There are 800 US adults sampled and 199 think that most celebrities are good role models.
Now, two are selected without replacement.
Thus;
A) Probability that both adults think most celebrities are good role models would be = (199/800) × (198/799) = 39402/639200 = 0.062
B) we want to find probability that neither adult thinks most celebrities are good role models.
Now, since 199 out of 800 think that most celebrities are good role models..
Thus, number that doesn't think most celebrities are good role models = 800 - 199 = 601
probability that neither adult thinks most celebrities are good role models. would be = (601/800) × (600/799)= 180300/319600 = 0.564
C) We want to find the probability that at least one of the two adults thinks most celebrities are good role models.
Now, since we already have the probability that neither of them thinks most celebrities are good role models, we will just subtract that probability from 1.
Thus;
probability that at least one of the two adults thinks most celebrities are good role models = 1 - 0.564 = 0.436
Find the academic calendar, and then answer: How many days after the end of the course are the final grades published?
Find the academic calendar, and then answer: How many days after the end of the course are the final grades published? Select one:
a. 12 days
b. 7 days
c. 14 days
d. 3 days
Answer:
7 days
Step-by-step explanation:
Take note that under standard practice and based on the information available that it would take up to 7 days after the end of a course for the final grades to be published.
Thus, the correct option is 7 days.
−
4
v
−
25
>
2
v
+
17
Answer:
v < -7
Step-by-step explanation:
Step 1: Write out equation
-4v - 25 > 2v + 17
Step 2: Add 4v to both sides
-25 > 6v + 17
Step 3: Subtract 17 on both sides
-42 > 6v
Step 3: Divide both sides by 6
-7 > v
Step 4: Rewrite
v < -7
To the nearest whole number,
which is the best estimate?
45.29+63.92+4.02 (29.92
A.198
B.229
C.254
D.3390
Answer:
B. 229
Step-by-step explanation:
I solved it by multiplying the 4.02 and 29.92. Then, added the numbers together and rounding the solution to the nearest whole number.
y=8x-6 solve the system of equations
Answer:
let y=8x-6=0
soY=6
andy=8x
so,y=6 and x=3/4
6. Do planes GFE and HBC intersect? Explain.
Answer:
yes at line HE.
Step-by-step explanation:
Plane GFE is the plane that contains face EFGH of the prism.
Plane HBC is the plane that contains face BCEH of the prism.
The two planes do intersect, and their intersection is line HE.
lim_(x-1)(2x^(2)-9x+9)/(x-3)=
Answer:
[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=-1[/tex].
Step-by-step explanation:
Consider the given limit problem is
[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=?[/tex]
We need to find the value of given limit problem.
Taking limit, we get
[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=\dfrac{2(1)^2-9(1)+9}{(1)-3}[/tex]
[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=\dfrac{2-9+9}{-2}[/tex]
[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=\dfrac{2}{-2}[/tex]
[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=-1[/tex]
Therefore, [tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=-1[/tex].
x + 2 – z; use x = 6, and z = 2
Answer:
6
Step-by-step explanation:
x + 2 - zIf x = 6 and z = 2 then : 6 + 2 -26 +2 is 8 - 2 is sixanswer is 6PLEASE HELP! A) 2.9 B) 9.2 C) 3.3 D) 5
Answer:
9.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 57 = x/6
6 tan 57 = x
9.239189783 = x
9.2 =x
1945 pounds to ounces
Answer:
31120 ounce
Step-by-step explanation:
Answer:31120
Step-by-step explanation:Use google
parallel to the y=-3x through the point (-1,2)
Answer:
[tex]\huge\boxed{y=-3x-1}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2.\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ y=-3x\to m_1=-3.\\\\\text{Therefore, we have a initial parallel line equation:}\\\\y=-3x+b\\\\\text{The line passes trough the point}\ (-1,\ 2).\\\\\text{Substitute}\ x=-1,\ y=2:\\\\2=-3(-1)+b\\2=3+b\qquad\text{subtract 3 from both sides}\\-1=b\to b=-1\\\\\text{Finally:}\\\\y=-3x-1[/tex]
A city council consists of six Democrats and seven republicans. If a committee of four people is selected, find the probability of selecting two Democrats and two Republicans.
Answer:
[tex]\bold{\dfrac{63}{143}}[/tex]
Step-by-step explanation:
Number of Democrats = 6
Number of Republicans = 7
Total number of members = 6+7 = 13
To find:
Probability of selecting two Democrats and two Republicans if 4 members are selected in the committee = ?
Solution:
This is a selection problem.
Total number of ways to select 4 members in the committee out of total 13 = [tex]_{13}C_4 = \dfrac{13\times 12\times 11\times 10}{4\times 3\times 2} = 715[/tex]
Number of ways to select 2 Democrats = [tex]_{6}C_2 = \dfrac{6\times 5}{2} = 15[/tex]
Number of ways to select 2 Republicans = [tex]_{7}C_2 = \dfrac{7\times 6}{2} = 21[/tex]
Number of ways to select 2 Democrats and 2 Republicans = 15 [tex]\times[/tex] 21 = 315
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, required probability:
[tex]\dfrac{315}{715} = \bold{\dfrac{63}{143}}[/tex]
If x2 = 20, what is the value of x?
±square root of 10
±square root of 20
±10
±40
Answer:
+ square root of 20 -------> +[tex]\sqrt{20}[/tex]
Step-by-step explanation:
[tex]x^{2}=20[/tex]
[tex]x=\sqrt{20}[/tex]
Answer:
b
Step-by-step explanation:
please solve quick
Answer:
x = 5
AB = 14 units
Step-by-step explanation:
From the picture attached,
In the given triangles ΔAEB and ΔCDB,
AE║CD and ED is a transverse,
∠EAB ≅ ∠DCB [Alternate interior angles]
AE║CD and AC is a transverse,
∠AEB ≅ ∠CDB [Alternate interior angles]
ΔAEB ~ ΔCDB by AA property of the similarity of two triangles.
Therefore, corresponding sides of these triangles will be proportional.
[tex]\frac{\text{AE}}{\text{CD}}=\frac{\text{BE}}{\text{BD}}=\frac{\text{AB}}{\text{BC}}[/tex]
[tex]\frac{\text{BE}}{\text{BD}}=\frac{\text{AB}}{\text{BC}}[/tex]
⇒ [tex]\frac{7}{4}=\frac{2x+4}{x+3}[/tex]
⇒ 7x + 21 = 8x + 16
⇒ 8x - 7x = 21 - 16
⇒ x = 5
AB = (2x + 4)
= 10 + 4
= 14 units
David's company has to ship 4950 boxes of sprinklers. If a truck can hold 550 boxes, how many truckloads does he need to ship all the boxes?
Answer:
Just Divide 4950/550 and you'll get 9 truckloads
Step-by-step explanation:
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Recording the number of televisions in 150 households
Choose the correct answer below.
A. No, because the probability of success does not remain the same in all trials.
B. Yes, because all 4 requirements are satisfied.
C. No, because there are more than two possible outcomes and the trials are not independent.
D. No, because there are more than two possible outcomes.
Answer:
A. No, because the probability of success does not remain the same in all trials.
Step-by-step explanation:
In this procedure the number of televisions could vary in each house. Some people have one , two, even three or some may not have any. So the number of successes in each trial varies as the number of televisions varies.
Therefore, it is not a binomial distribution. It is necessary that for a binomial distribution the probability of success for each trial remains fixed.
700.095 in word form
Answer:
seven hundred and ninety-five thousandths
Step-by-step explanation:
in a particular class of 26 students , 11 are men . what fraction of the students in the class are women
Step-by-step explanation:
woman = total students - men
= 26 - 11
=15
for fraction of woman , you take the 15(woman) over the total of people in the class,26.
Therefore your answer is 15 over 26
Answer:
42.3% or 42% simplified
Step-by-step explanation:
Consider the following information:
Observations 1 2 3 4 5 6
Num. of defects 10 18 13 15 9 12
The number of runs above and below the sample median is:__________
a) 3.
b) 4.
c) none of these.
d) 5.
e) 6.
Answer:
A. 3Step-by-step explanation:
Formula for locating the Median of a grouped data = (N+1)/2 th where
N is the total number of defects.
Total defects = 10+18+13+15+9+12
Total defects = 77
Median value = (77+1)/2 th value
Median value = 78/2 = 39th value.
We will cummulate the frequency (number of defects up to the 38th value) and locate the corresponding observation value.
On cummulating:
10+18+13 = 41
We can see that the value of 38 falls on the third column(13), hence the median will be the equivalent number of observations i.e 3.
Therefore the sample median is 3