Answer:
Step-by-step explanation:
Given that:
[tex]x^2 + z^2 \leq 36[/tex]
if we assume that x is zero, then [tex]z^2 = 36[/tex] , [tex]z = \pm \sqrt{36}[/tex] [tex]z = \pm 6[/tex] i.e the radius of the circle goes from -6 to +6, Similarly, if we assume that z is zero, then [tex]x^2 = \pm 36[/tex] , [tex]x = \pm \sqrt{36}[/tex] , [tex]x = \pm 6[/tex] . This implies that [tex]x^2 + z^2[/tex] describes the circle with radius 6
[tex]x^2 + z^2 \leq 36[/tex] is an equation at region which consist of those points whose distance from the centre is at least with radius -6 and at most 6.
Therefore, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.
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.
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 expression is equivalent to (73)5 • 74 ?
Select each correct answer.
Question 3 options:
73 • 5 + 4
73 + 5 + 4
73 + 5 • 74
73 • 5 • 74
The correct answer is D. 73 • 5 • 74
Explanation:
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression (73)5 • 74 indicates 5 should be multiplied by 74, and the result of this should be multiplied by 73 as the lack of symbol indicates multiplication. Therefore, this is equivalent to 73 • 5 • 74.
Answer:
D
Step-by-step explanation:
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
Determine whether the following statement is true or false.
For a test of independence, the population that the data has come from must be normally distributed.
A. True
B. False
Answer:
The provided statement is False.
Step-by-step explanation:
The assumptions to perform a test of independence are:
The sample selected is randomA large sample is selectedThe observations are independent of each otherThe observations follow the same distribution.It is not necessary that the parent population or the population from which the sample is collected is normally distributed.
Thus, the provided statement is False.
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]
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
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 numbersy=8x-6 solve the system of equations
Answer:
let y=8x-6=0
soY=6
andy=8x
so,y=6 and x=3/4
−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
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?
−
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
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].
PLEASE 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
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
1.what is goverment .what do it mean
2. which country have the least number of people
Answer:
GOVERNMENT IS A SYSTEM OR GROUP OF PEOPLE GOVERNING AN ORGANIZED COMMUNITY, OFTEN A STATE.
VATICAN CITY HAS THE LEAST NUMBER OF PEOPLE.
Step-by-step explanation:
700.095 in word form
Answer:
seven hundred and ninety-five thousandths
Step-by-step explanation:
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]
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 6David'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:
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:
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
f(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
To restaurants
engines to find out the people eating there. The bodies show theme of these
Restaurant
1
15
25 30
Age of Diners Cars
Move options to the banks to complete the statement, using data from the bougies
O
Answer:
[tex]\large \boxed{\mathrm{served \ a \ greater \ variety \ of \ ages}} \\ \\ \large \boxed{\mathrm{range}}[/tex]
Step-by-step explanation:
Restaurant A served a greater variety of ages than Restaurant B, because the range of data for Restaurant A is greater than that of Restaurant B.
Range of a data set is the data spread.
Restaurant A is serving a greater variety of ages of people since it has a higher range than that of Restaurant B.
Answer:
1. Served a greater variety of age
2. range
Step-by-step explanation:
Restaurant A served a greater variety of age than Restaurant B, because the range of data for Restaurant A is greater than that of Restaurant B.
=> When we see the box plot, we come to know that the range (maximum - minimum) is greater for Restaurant A.
In which situation is it best to use a line graph?
A): when the values on both axes are numbers
B): when a grade distribution is displayed
C): when showing trends
D): when representing parts of a whole
Answer: C): when showing trends
Step-by-step explanation:
A Line graph connects different points such that it appears as a line. For this reason it is very useful in showing the trend in the movement of values overtime.
When plotting line graphs the independent variable for example 'months' is usually put on the x-axis and a dependent variable such as 'temperature' will be on the y-axis.
When plotted, the line will be able to show just how things have changed overtime such that the change is quite easy to see through the movement of the line.
Express the given product as a sum or difference containing only sines or cosines.
sin (4x) sin (2x)
sin(4x) sin (2x) =________ (Simplify your answer.)
Answer:
sin(8x)
Step-by-step explanation:
assuming that you didn't mean to write it twice
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.
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:
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.
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.