Answer:
We can use number lines for adding as well as subtracting integers. For doing this:
1. First mark the first integer on the number line.
2. Now to add a positive integer to this number, move to the right on the number line from this number.
3. In case you have to add a negative integer, move to the left on the number line from this number.
4. Subtracting an integer means adding its opposite and hence, if you have to subtract a positive integer from this number, move to the left on the number line from this number.
5. But if you have to subtract a negative integer from this number, move to the right on the number line from this number.
<3
A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.05 significance level.
0.236
0.254
0.279
0.330
Answer:
0.254
Step-by-step explanation:
Table A-6 will be shown below for reference. Since none of the answer choices contain the critical value for 61, we can just round that number to 60. We will see that the critical value is 0.254. If you're having trouble reading the table below, look at the columns to find the corresponding significance level you are working with then find the sample value.
Best of Luck!
give 12 consecutive integers, in how many ways can three of these integers be selected to give a sum which divides by 4?
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 03- give remainder of 13- give remainder of 23 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination0 - 1 - 3 ⇒ 3*3 = 9 combinations0 - 3 - 1 ⇒ 3*3 = 9 combinations1 - 1 - 2 ⇒ 2*3 = 6 combinations1 - 2 - 1 ⇒ 2*3 = 6 combinations2 - 1 - 1 ⇒ 2*3 = 6 combinations3 - 0 - 1 ⇒ 3*3 = 9 combinations3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 4*9 + 3*6 = 55what is (a+3) x 2 simplified
Answer:
2
+
3
2
Step-by-step explanation:
. Parul purchased 9 bottles each containing 750 ml of orange juice. What is the total quantity of orange juice she purchased? If you give me correct answer I will make u brainlist and also give 5 rates and thanks
answer me
hi
9x750 = 630 +450= 1080 ml
so 1.08 liter.
PLEASE HELP
2/3x =10
Show your work in details if you can, I have a hard time understanding this.
[tex]\\ \sf\longmapsto \dfrac{2}{3}x=10[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{3}=10[/tex]
[tex]\\ \sf\longmapsto 2x=3(10)[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \frac{2}{3} x \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt \frac{2x}{3} \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 3 \: \times \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 30 \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \:\frac{ \cancel{30} \: \: ^{15} }{ \cancel{2}} \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \: 15 \end{cases}[/tex]
how many cubic meters of gravel are in the back of a full dump truck that measures 7m wide by 4m tall by 16m long
Answer:
Step-by-step explanation:
Assuming the gravel reaches the top of the walls and no higher, the volume is 7×4×16 = 448 m³
Answer:
hello thereee
now vol of truck = l b h = 7 * 4 * 16 = 448 m^3
( 448m^3 is final ans...
glad for brainliest.... hope that helps <3
48. A map is drawn to a scale of 1cm to represent 50km. If the actual distance between two villages is 480km, what is the distance on the map?
Set up a ratio:
1/50 = x/480
Cross multiply:
50x = 480
Divide both sides by 50:
X = 9.6
The distance on the map is 9.6 cm
I need help ASAP ????!!!!
Answer:
Step-by-step explanation:
Amplitude 2
wave height 4
trough 5
crest 3
wave length 1
8x + 2 = = 7 + 5x + 15
Answer:
2.5
Step-by-step explanation:
8x + 2 = 7 + 5x + 15
Combine like terms:
8x + 2 = 7 + 5x + 15
8x + 2 = 22
-2 -2
-----------------
8x = 20
---- ----
8 8
x = 2.5
Hope this helped.
Equation for parabola that has points (-4,2) (0,2) (-2,3)
Step-by-step explanation:
What is the equation of the parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
?
To solve this you need to use the vertex form of the equation of a parabola which is
y
=
a
(
x
−
h
)
2
+
k
, where
(
h
,
k
)
are the coordinates of the vertex.
Explanation:
The first step is to define your variables
h
=
−
4
k
=
2
And we know one set of points on the graph, so
x
=
−
7
y
=
−
34
Next solve the formula for
a
y
=
a
(
x
−
h
)
2
+
k
−
34
=
a
(
−
7
+
4
)
2
+
2
−
34
=
a
(
−
3
)
2
+
2
−
34
=
9
a
+
2
−
36
=
9
a
−
4
=
a
To create a general formula for the parabola you would put in the values for
a
,
h
, and
k
and then simplify.
y
=
a
(
x
−
h
)
2
+
k
y
=
−
4
(
x
+
4
)
2
+
2
y
=
−
4
(
x
2
+
8
x
+
16
)
+
2
y
=
−
4
x
2
−
32
x
−
64
+
2
So the equation of a parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
is:
y
=
−
4
x
2
−
32
x
−
62
How many countries expect to have an increase in population from 1950 to 2000 and from 2000 to 2050 ?
one
two
three
four
Answer:
three
Step-by-step explanation:
The three countries expect to have an increase in population. Then the correct option is C.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
The bar chart of the countries is shown.
From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Australia increased.
From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Hungary first increases then decreases.
And from the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Canada increased.
From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 in South Korea first increases then decreases.
From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Egypt increased.
The three countries expect to have an increase in population.
Then the correct option is C.
More about the histogram link is given below.
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(x-1)(x-3)(x+5)(x+7)=297
First simplify the expression into polynomial form,
[tex](x-1)(x-3)(x+5)(x+7)=297[/tex]
[tex]x^4+8x^3-10x^2-104x+105=297[/tex]
[tex]x^4+8x^3-10x^2-104x-192=0[/tex]
Now factor into,
[tex](x-4)(x+8)(x^2+4x+6)=0[/tex]
Which means the solutions are,
[tex]x-4=0\implies\boxed{x_1=4}[/tex]
[tex]x+8=0\implies\boxed{x_2=-8}[/tex]
and then two complex solutions because determinant of the third factor [tex]D\lt0[/tex],
[tex]x^2+4x+6=0[/tex]
[tex]x^2+4x+4=-2[/tex]
[tex](x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}[/tex]
Hope this helps :)
Answer:
x=4
Step-by-step explanation:
(4-1)(4-3)(4+5)(4+7)=297
en un taller de futbol se inscribieron en total 240 personas . de ese total 80% son mujeres . ¿Cuántos hombres se inscribieron en el taller ?
a) 192 hombres
b) 160 hombres
c) 48 hombres
d) 18 hombres
Select the term that can be a list of values or numbers associated with context over an entire set of interest.
a.)
Frequency
b.)
Distribution
c.)
Variable
d.)
Data set
Answer: D
Step-by-step explanation:
Find the unit rate.
1/3 kilometer in 1/3hour
Answer:
1 kilometer in 1 hour
Step-by-step explanation:
unit rate is km(kilometer) per hour(hr)
1/3 km = 1/3 hr
multiply both sides by 3
1 km in 1 hour
45.6 + 3.89
15 + 4.88
35.6 - 9.67
23 - 8.8 =
Step-by-step explanation:
Here you go;
49.49
19.88
25.93
14.2
1
) Solve the equation
(85) for n.
8n
n =
?
Answer:
n = -10
Step-by-step explanation:
1 / 8^n = 8^5^2
We know that 1/a^b = a^-b
We also know that a^b^c = a^(b*c)
8^-n = 8^(5*2)
8^-n = 8^(10)
Since the bases are the same, the exponents are the same
-n = 10
n = -10
linear equation 4x-1=9
Answer:
x = 5/2
Step-by-step explanation:
4x-1=9
Add 1 to each side
4x-1+1=9+1
4x = 10
Divide by 4
4x/4 = 10/4
x = 5/2
F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.
The divergence of F is
div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z
div(F ) = 1 + 1 + 1
div(F ) = 3
The divergence of the vector field is equal to 3
Data;
(x+yz)i(y + xz)j(z+xy)kDivergence of Vector FieldTo find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.
[tex]div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3[/tex]
The divergence of the vector field is equal to 3
Learn more on divrgence of vector field here;
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Please help on my hw
Answer:
Base is 3 centimeter and hight is 12 cent.
Sabrina is 4 and her brother Sam is 9 years older than she is. In how many years will same be twice as old as Sabrina
Answer:
=4-7
=5
:same will be 5 years older than Sabrina
A circular water fountain in the town square has a 112-foot circumference. How far is the center of the fountain from the outer edge? Round to the nearest whole number.
Answer:
18 feet
Step-by-step explanation:
The distance of the center of the fountain from the enter edge is equal to the radius of the circular fountain.
Use the circumference formula, c = 2[tex]\pi[/tex]r, to find the radius.
c = 2[tex]\pi[/tex]r
112 = 2[tex]\pi[/tex]r
18 = r
So, to the nearest whole number, the distance between the center of the fountain and outer edge is 18 feet.
For 32 = 5X + 2, what is the first step in solving for X?
Answer:
-2 from both sides
Step-by-step explanation:
32=5x+2
-2 -2
________
30=5x
__=__
5 5
6=x
The first step to solve for X is to use subtraction property of equality to subtract 2 from both sides.
How to solve algebraic equations?
We are given the algebraic equation;
32 = 5X + 2
The first step to solve for X is to use subtraction property of equality to subtract 2 from both sides to get;
32 - 2 = 5X + 2 - 2
30 = 5X
Divide both sides by 5 using division property of equality to get;
X = 6
Read more about Algebraic Equations at; https://brainly.com/question/16863577
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20 POINTS PLEASE HELP
Answer:
2x^3+5x^2+2x
Step-by-step explanation:
x+2 x and 2x+1
The volume of a rectangular prism is solved by multiplying the height, width, and base. So to solve for the volume, it is (x^2+2x)*(2x+1) [just multiplies x+2 and x] 2x^3+5x^2+2x
Step-by-step explanation:
[tex]thank \: you[/tex]
A letter is chosen from the word 'brilliant'. Determine the probability that it will be: Give your answers in their lowest terms.
Answer:
Step-by-step explanation:
brilliant has 9 letters
brilliant has 1 B (1/9)
brilliant has 1 R (1/9)
brilliant has 2 I's (2/9)
brilliant has 2 L's (2/9)
brilliant has 1 A (1/9)
brilliant has 1 N (1/9)
brilliant has 1 T (1/9)
Người ta tiến hành bài kiểm tra được thiết kế để đánh giá thái độ đối với bệnh nhân đang
hấp hối trên 60 sinh viên y năm nhất, kết quả tính được điểm trung bình của mẫu là 73,8 và độ
lệch chuẩn mẫu là 8,3. Với mức ý nghĩa 5%, số liệu trên có đủ mạnh để cho rằng điểm trung bình
bài đánh giá thái độ của sinh viên y năm nhất là trên 70 hay không?
Answer:
cannot understand the language man
but please follow
CHứng minh rằng trong hệ g - phân với 2
Help pleaseeeeeeeeeeeeeeeee
Answer:
D(- 1) = 2
Step-by-step explanation:
To evaluate D(- 1), substitute x = - 1 into D(x) , that is
D(- 1) = (- 1)² - 2(- 1) - 1 = 1 + 2 - 1 = 2
Help pleaseeeeeeeeeeeeeeeeeeee
Answer:
{-3, 1, 5, 6}
Step-by-step explanation:
The domain of a relation is the x-values represented in that function. In a coordinate pair, the x-value comes first, so all of the first numbers in each of the pairs are part of the domain. When writing domain, it should always be in the least to greatest order. Therefore, the domain is {-3, 1, 5, 6}. Since this relation is a function, none of the x-values will repeat.
In the diagram below, the circle has a radius of 25 inches. The area of the shaded sector is 125π in^2. Determine and state the measure of angle Q of the shaded sector. Show all your work that leads to the final answer. Please take a CLEAR picture of your work and upload here. Thank you.
Answer:
72 degrees
Step-by-step explanation:
Area of a sector=(pi*r^2)*(Theta/360)
125*pi=pi*(625)*(theta/360)
(125*360)/625=theta
Theta=72 degrees
The angle theta of the sector of the given circle is 72 degrees.
We have given that,
In the diagram below, the circle has a radius of 25 inches.
The area of the shaded sector is 125π in^2.
What is the formula area of the sector?[tex]Area \ of \ a \ sector=(pi*r^2)*(\Theta/360)[/tex]
Therefore we get,
[tex]125*pi=pi*(625)*(\theta/360)[/tex]
[tex](125*360)/625=\theta[/tex]
[tex]\theta=72 degrees[/tex]
Therefore we get the angle of the sector of the given circle is 72 degrees.
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