Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of
This question is incomplete, the complete question is;
A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.
(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?
Answer:
the required or needed sample size is 946
Step-by-step explanation:
Given the data in the question;
confidence level = 80%
⇒ 100( 1 - ∝ )% = 80%
100 - 100∝ = 80
100∝ = 100 - 80
∝ = 20/100
level of significance ∝ = 0.2
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }
p = 0.36
Allowable margin of error E = 0.02
let n be the required sample size.
we know that
E = √( p( 1 - p) / n )
given that margin of error E = 0.02
⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02
⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816 = 0.02
⇒ √( 0.2304 / n ) × 1.2816 = 0.02
√( 0.2304 / n ) = 0.02 / 1.2816
√( 0.2304 / n ) = 0.01560549
( 0.2304 / n ) = ( 0.01560549)²
0.2304 / n = 0.000243531318
n = 0.2304 / 0.000243531318
n = 946
Therefore, the required or needed sample size is 946
What is the volume of the rectangular prism?
Answer:
[tex]10^{3}[/tex]
Step-by-step explanation
3 x 5 x 2 = 30 x 1/3 = [tex]10^{3}[/tex]
Find the slope of the line that passes through (10,8) and (1,9).
Answer:
[tex]-\frac{1}{9}[/tex]
Step-by-step explanation:
between (1, 9) and (10, 8), the x moves by 9 and y moves by -1
The slope is equal to: [tex]\frac{\Delta y}{\Delta x} = \frac{-1}{9} = -\frac{1}{9}[/tex]
Answer:
-1/9
Step-by-step explanation:
plug in the slope formula:
y-y
-----
x-x
=9-8
-------
1-10
=-1/9
Which rules define the function graphed below?
eOf
y
4
0.3)
3
(3,2)
1
2
3
4
В
7
x
2
3
Answer: y= 2x+3; y=-1/3x+3
Step-by-step explanation:
First option on edge
y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
The correct option is 1.
What is a graph?Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.
The graph of the functions and the points on the line is given.
The points for 1st function = (0, 3)
The points for 2nd function = (3, 2)
The given function:
y = 2x + 3
Substituting (0, 3)
3 = 2(0) + 3
3 = 3
Similarly, for y = -(1/3)x + 3
Substituting (3, 2)
2 = -(3/3) + 3
2 = -1 + 3
2 = 2
Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
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Create a proportion for each set of similar triangles. Then solve the missing parts
Answer:
?=24
Step-by-step explanation:
12=?
13 26
solve for ?
please help me awarding brainliest!
Answer:
a
Step-by-step explanation:
because the rest aren't true
Answer:
A. because the rest are not true
First CORRECT answer get branliest Please help!
Answer:
36^6 or 2176782336
Step-by-step explanation: if you multiply 10^2 would equal because you would multiply 10 by 10 and 4^3 would equal 64 because you would have to multiply four 3 times (4 x 4 x 4) and you subtract 100 and 64 (100 - 64) and you get 36 BUT, the question says "Give your answer as APO 6, so you put your answer as 36^6 or 2,176,782,336
For his long distance phone service, Austin pays a $2 monthly fee plus 12 cents per minute. Last month, Austin's long distance bill was $15.32. For how many
minutes was Austin billed?
Answer: 153
Step-by-step explanation:
Let x = minutes
0.09x + 5 = 18.77
0.09x = 13.77
x = 13.77 ÷ 0.09 = 153
He was billed for 153 minutes
!NO LINKS, NO FILES!
please :)
Answer: 10.5 km
A = bh
A = 3.5 x 3
A = 10.5
Answer:
I think ur answer would be 10.5 km
Step-by-step explanation:
srry if wrong hope this helps
which is a graph of the equation y = 2x - 4
Answer:
The 3rd one
Step-by-step explanation:
Find the measure of major
arc
OQN.
M
K
IN
38
6
P
Answer:
Measure of the major arc OQN = 292°
Step-by-step explanation:
Measure of the major arc OQN = 360° - m(arc ON)
By the definition of central angle subtended at the center by the arc,
Measure of arc ON = Central angle subtended by the arc
= 38°
Now measure of the major arc OQN = 360° - 38°
= 292°
PLEASE ANSWER ASAP: Dianna can carry up to 15lbs in her backpack. Her lunch weighs 1 lb, her gym shoes weigh 2 lbs, and her books weigh 1.5 lbs each. Which inequality shows how many books Dianna can carry in her bag if she has her lunch and gym shoes?
Answer: A
Step-by-step explanation:
she can carry 1.5 pounds of books plus the extra 3 pounds as long as its less than or equal to 15 lbs
The inequality that shows the number of books that Diana can carry in her bag if she has her lunch and gym shoes is 3 + 1.5x ≤ 15.
What inequality represents the number of books that Diana can carry?The first step is to determine the total weight of the items in her bag:
1 + 2 = 3lbs
The second step is to determine the inequality sign to use:
the inequality sign to be used is the less than or equal to sign - ≤
The equation becomes: weight of items in her bag + (weight of one book x total number of books) ≤ weight the bag can carry
3 + 1.5x ≤ 15
Which side of XYZ is the longest? A. WY B. XZ C. YZ D. Cannot be determined
Answer:
B
Step-by-step explanation:
In a triangle the longest side is opposite the largest angle.
∠ Y = 180° - (60 + 43)° = 180° - 103° = 77°
∠ Y is the largest angle in the triangle, then the side opposite is the longest
That is XZ is the longest side → B
A4BC contains two angles that measure 72 and 23 degrees each. A DEF also contains two angles that measure 72 and 23 degrees. The measure of the third angles of both triangles must be degrees.
Answer:
Answer, is 85
Step-by-step explanation:
You're welcome.
Find the value of 4.5 times the value of one fourth of 12
Answer: 13.5
Step-by-step explanation: 1/4 of 12 is 3, so 3x4.5=13.5
What shape are the faces, other than the base,
of a pyramid?
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
What is the answer please I need help
Answer:
+ 3 , is correct answer
hope it helps
Answer:
+3
Step-by-step explanation:
as we divide 27 by (-3) then the answer will (-9) and similarly next one but the sign will change
Which is the the slope of the line that passes through the points(2,8)and (4,6)
Explain the importance of putting your data set in order from least to greatest.
Answer:
In order to make it easier for you to understand and helps in making problems more easier and faster to do
Need help badly ASAP no joke
Answer:
Option A.
Step-by-step explanation:
Angle APF is equal to angle GPB because of vertically opposite angles. When two lines straight lines cross each other, the opposite angles are equal.
assume that the total surface area of the cuboid is 200cm^2 work out the volume of the cuboid
Answer: 187.5
Step-by-step explanation:
200 - 2 x 5 x 5 = 50
200 - 50 = 150
150/ 4 = 37. X 5 = 187.5
- hope this helps
I’ll give points + brainalist (:
Answer:
A.)
Step-by-step explanation:
This is my answer :)
Which is the equation of the given line?
O x = 4
ooo
O
y = 2x
6
4.
(2,4)
2
O y = 2
X
10-8-6
4
1
4
6
22
O x = 2
8 10
-4
-6
-8
10
(2, -7)
1
2
3
Answer:
x=2
Step-by-step explanation:
The solution is, The equation the line is, x =2
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (2,4) and, (2,-7)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x-2)=(-7-4)/(2-2)
=>0 = x-2
=>x =2
Hence, the required equation is, x =2
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PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.
Note: Figure is not drawn to scale.
What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°
Answer:
B. 56°
Step-by-step explanation:
We are given that m∠R is 66° and m∠T is 122°.
We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.
Now, we can use ∠R and ∠S to find ∠Q.
66° + 58° = 124°
180° - 124° = 56°
Answer:
m∠Q is 56°.
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.
In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.
So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.
Therefore, m∠Q is 56°.
A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the pool?
let the time taken to be filled by both pipes be y
1/2 +1/8=1/y
(4+1)/8=1/y
5/8=y
cross multiplying
5y=8
y=8/5
=1.6hrs
how to write 802 049 in words?
Answer:
See explanation below
Step-by-step explanation:
Eight hundred two thousand and forty-nine
What is the distance between the following points?
Answer:
Option C)√72 will be your answer
----------------------
hope it helps...
have a great day!!
Answer:
these are some latex code , paste it in keyboard and see how it looks
How can you isolate the variable in this equation? x + 6 = 13 A Add 6 to 13. B Add 6 to both sides. C Subtract x from both sides. D Subtract 6 from both sides.
Answer:
the answer is D, im doiing the flocab rn
Step-by-step explanation:
which are the expression represents the total area of the large rectangle?
no flile or link or i will be report you
Answer and Step-by-step explanation:
Expressions that represent the total area are:
6(m + n)
6n + 6m
(n + m)6
That is because to find the area of these rectangles, we multiply the length by the width. We would get 6m and 6n, which is one of those options.
Now, if we take out the 6 from each of the values, we get 6(m + n), or (n + m)6.
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