Which list of numbers are valid for both inequalities?
-2
-3
-1
0
1
2
3
4
5
8
7
O -1,0,1
0, 1, 2
0 -1,0, 1, 2
0 -3, -2, -1, 0, 1, 2, 3, 4

Answer:

there 24 possible outcomes.

each color/letter on the spinner could coincide with each side of the dice, so there 4*6 possible outcomes

{A, 1},{A,2},{A,3},{A,4},{A,5},{A,6},{B,1},{B,2}, ...

Sample Space=S={A,B,C,D}

Hence

|S|=4

Sample Space=S={1,2,3,4,5,6}

Hence

|S|=6

Answer: raw data

Step-by-step explanation:

Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.

Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

Substitute these values into equation 1

Pr(B) = 320/465

Pr(B) = 0.69

(2) Pr(J/B) = (35+65)/(220+65)

Pr(J/B) = 100/285

Pr(J/B) = 0.35

(3) Pr(J∩B) = 65/465

Pr(J∩B) = 0.14

(4) Pr(G/J') = 145/220

Pr(G/J') = 0.66

(5) Pr(G) = 145/465

Pr(G) = 0.31

Answer:

Jayden earns $ 9.25 per hour.

Step-by-step explanation:

Time                 Earnings

  8                      74

  1                       x

[tex]\frac{8}{1} = \frac{74}{x}\\\\8 \times x = 74 \times 1\\\\x = \frac{74}{8} = \$ 9.25[/tex]

Answer:

9.25

Step-by-step explanation:

He earned 9.25 money per hour because you divide 74/8 and it will give you 9.25. If you wanna double-check you can multiply 9.25 times 8 and you'll get 74.

Answer:

Part a) (a,b,c)=(10,19,9)

Part b) (a,b,c)=(9,3,1)

Please let be know if I have interpreted your question correctly. Thank you.

Step-by-step explanation:

Part a)

This is the way I interpret part a:

Find integers a,b,c such that a|(b-c) but a does not divide b and a does not divide c.

There are many triples satisfying part a.

One such triple is (a,b,c)=(3,10,7).

3 divides 10-7

But 3 does not divide 10 and 3 does not divide 7.

Another example is (a,b,c)=(2,7,5).

2 divides 7-5

But 2 doesn't divide 7 and 2 doesn't divide 5.

I will give another example.

(a,b,c)=(10,19,9)

10 divides 19-9

But 10 doesn't divide 19 and 10 doesn't divide 9

Part b)

This is the say I interpret part b:

a | (2b + 3c) but a does not divide b and a does not divide c

So lets let b=2 and c=5, then 2b+3c=19.

We just need to choose an a such that it divides 19 but not 2 and 5. That should be easy. 19 itself will do that.

So one (a,b,c) could be (19,2,5).

Let's try for another example.

Let b=3 and c=1.

Then 2b+3c=9.

So we just need to find an a that divides 9 but not 3 and not 1.

9 works.

So another example is (9, 3,1).

Answer:

133 - x = 180

x= 47

142 - y = 180

y = 38

x + y = n

47 + 38 = 85

Answer:

18

Step-by-step explanation

Answer:

14

Step-by-step explanation:

f(x)=2x+7

f(4)=2(4)+7

=8+7

=15

f(-4)=2(-4)+7

=-8+7

=-1

f(4)+f(-4)

=15+(-1)

=14.

Answer:

25

Step-by-step explanation:

f (x)= 2x^2-7

Let x=4

f (4) = 2 ( 4)^2 -7

Exponents first

f(4) =2*16 -7

Multiply

f(4) =32 -7

Subtract

f(4) =25

Answer:

Chisquare goodness of fit test

Step-by-step explanation:

Given the data:

Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26

The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;

Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.

Answer:

There's nothing there.

Answer:

pooping

Step-by-step explanation:

1.poop

2.wipe.

3.eat

4.sleep

Answer:

Step-by-step explanation:

4(-3)-7+2(-3)+4

 =-21

Answer:

14+x

Step-by-step explanation:

Answer:

26.16

Step-by-step explanation:

14.66 + 11.5 = 26.16

The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here:  Mike collected 14.66 pounds and Felix collected 11.5 pounds.

We know, Addition is used to figure out the total of two or more numbers. Subtraction is used to find the difference between two numbers.

Thus the total pounds of newspaper in the recycling project is given by

W=14.66+11.5

  =26.16 pounds.

Hence, The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.

Learn more about BODMAS rule here:

https://brainly.com/question/29795897

#SPJ2

Given:

Angle IHG formed by two rays.

To find:

The rays that form the sides of ∠IHG.

Solution:

From the given diagram it is clear that the initial point of both rays is point H.

First ray passes through the point I with initial point H, so the name of first ray is [tex]\overrightarrow{HI}[/tex].

Second ray passes through the point G with initial point H, so the name of second ray is [tex]\overrightarrow{HG}[/tex].

The rays [tex]\overrightarrow{HI}[/tex] and [tex]\overrightarrow{HG}[/tex] form the sides of ∠IHG.

Therefore, the correct options are E and F.

Answer:

\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}

Answer:

undefined

Step-by-step explanation:

Given two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -2 -7)/(-11 - -11)

   = (-2-7)/(-1+11)

   = -9/0

Dividing by zero give an undefined answer

undefined

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Undefined Slope  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Recall the Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\-----------------\\m=\frac{-2-7}{-11-(-11)}=\frac{-9}{0}\\\\[/tex]

⸻⸻⸻⸻

The slope is undefined. You cannot divide by zero.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.

Answer:

[tex]127.3 - 1.578 \approx 125.7[/tex]

Step-by-step explanation:

Given

[tex]127.3 - 1.578 = 125.722[/tex]

Required

Round to the precision of the 1.578

The number in the subtraction column is 1.578; so, the question implies that we round up 125.722 to the precision of 1.578

The precision of 1.578 is 4 (i.e. it has 4 digits). Hence, 125.722 will be approximated to 4 significant digits.

So, we have:

[tex]125.722 \approx = 125.7[/tex]

or

[tex]127.3 - 1.578 \approx 125.7[/tex]

Answer:

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

First fill in the missing angles of each triangle:

angle IJK = 180-47-51 = 82°

angle KJL = 180 - 63 - 57 = 60°

Within EACH triangle, the side length is proportional to the opposite angle.

Therefore for triangle IJK,

JK < JL < IK

and for triangle JKL

JL < KL <JK

so combining (chaining) the two inequalities,

JL < LK <JK < JL < IK

Answer:

Step-by-step explanation:

first lets find angle J in triangle IJK

for angle J

47 + 51 + angle J =180 degree (sum of interior angle of a triangle )

98 + angle J =180

angle J =180 - 98

angle J =82 degree

Now lets find angle J in triangle JKL

for angle J

57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)

120 + angle J =180

angle J = 180 - 120

angle J =60 degree

now lets place the angle from samllest to largest

angle I = 41 degree

angle K = 51 degree

angle K of JKL triangle = 57 degree

angle J of JKL triangle = 60 degree

angle L =63 degree

angle J of IJK triangle = 80 degree

Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,

side opposite to angle I is JK

side opposite to angle K is IJ

side opposite to angle K of JKL triangle is JL.

side opposite to angle J of JKL triangle is LK.

side opposite to angle L is JK.

side opposite to angle J of IJK triangle is IK.

therefore required answer is

JK , IJ , JL , LK , JK , IK

Answer:

$41.75

Step-by-step explanation:

$251-84=167

167 divided by 4 is $41.75

Hope this helps! :)

Answer: C(t) =0.10t+25

Step-by-step explanation:

you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10

then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25

Answer:

The total amount is 384

Step-by-step explanation:

Let m = the amount of money

5/8 of the money is 240

5/8 * m = 240

Multiply each side by 8/5

8/5 * 5/8 * m = 8/5 * 240

m =384

The total amount is 384

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

Answer:

85%

Step-by-step explanation:

To get the percentage of the number of questions Jamie answered, divide 68 by 80 to get 0.85, which is 85% in decimal form.

Answer:

In a reflection about a given axis, the distance between the original position and the axis of rotation is the same as the distance between the final position and the axis.

So, for example, we can see that point B is at a distance of one unit to the x-axis.

Then the reflected point, B', will also be at a distance of one unit from the x-axis (but in the opposite side)

so if we have:

B = (1, - 1)

Then:

B' = (1, -(-1)) = (1, 1)

The general rule for a rotation across the x-axis is:

(x, y) ⇒ (x, -y)

we only change the sign of the y-component.

So:

C = (-3, -1)

then

C' = (-3, 1)

D = (-4, -3)

then

D' = (-4, 3)

A = (0, -4)

then

A' = (0, 4)

So the graph of the new figure is the one with the vertices A', B', C', and D'.

The graph can be seen below:

Answer:

$1200

Step-by-step explanation:

S + C = 1200

S = C + 900

C + 900 + C = 1200

2C + 900 = 1200

2C = 300

C = 150

The chair costs $150. The sofa is $1050.

Together they cost $1200.