Find the mean, median, mode and range:
5, 2, 7, 4, 6, 9, 7, 5, 6, 7

Answer:

A ≥ D

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

|x+8| ≤ 4

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x+8 ≤ 4        x+8 ≥ -4

Subtract 8 from each side

x+8 -8 ≤ 4-8    and     x+8-8 ≥ -4-8

x ≤-4     and    x ≥ -12

Writing as one function

-12 ≤x ≤-4

|x-8|+5  ≥ 11

Subtract 5 from each side

|x-8|+5-5  ≥ 11-5

|x-8|  ≥ 6

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x-8  ≥ 6      or      x-8 ≤  -6

Add 8 to each side

x-8+8  ≥ 6+8       or     x-8+8 ≤  -6+8

x  ≥ 14      or      x ≤  -2

Answers and Step-by-step explanations:

9. | x + 8 | ≤ 4

Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.

That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).

Case 1: x + 8 > 0

x + 8 ≤ 4

x ≤ -4

Case 2: x + 8 < 0

-(x + 8) ≤ 4

-x - 8 ≤ 4

-x ≤ 12

x ≥ -12

Combining these two inequalities, we get:

-12 ≤ x ≤ -4

10. | x - 8 | + 5 ≥ 11

Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6

We again have two cases: x - 8 > 0 and x - 8 < 0.

Case 1: x - 8 > 0

x - 8 ≥ 6

x ≥ 14

Case 2: x - 8 < 0

-(x - 8) ≥ 6

-x + 8 ≥ 6

-x ≥ -2

x ≤ 2

Combining these two inequalities, we get:

x ≤ 2 and x ≥ 14

Answer: b/7>=26

Step-by-step explanation:

Answer:

[tex]\frac{b}{7} \geq 26[/tex]

Step-by-step explanation:

1) we are given "the quotient of b and 7", quotient means to divide and since b comes before 7 it must be [tex]\frac{b}{7}[/tex]

2) "greater than or equal to" means that the [tex]\frac{b}{7}[/tex] from earlier must be either greater than, or the same value as the following number so you use this sign: [tex]\geq[/tex]

3) 26 comes last in the problem meaning it must come after the [tex]\geq[/tex] sign

4) you then combine them together to get  [tex]\frac{b}{7} \geq 26[/tex] !

Hope this helps!

Answer:

area=πr2

Step-by-step explanation:

pie radius squared

Answer:pie r square

Step-by-step explanation:

Answer:

angle S

Step-by-step explanation:

You have to make the triangles congruent. Therefore, you have to flip one triangle vertically and horizontally. (To see the picture google choose the correct correspondence,  I am looking at the one with two triangles in the figure.) If you imagine putting them over top of each other, then U goes over S.

Sorry my answer was so late.

Answer:

The answer is going to be S

Step-by-step explanation:

Answer:225 cm

Step-by-step explanation:

Square has 4 equal sides

Area of squares equal length x width

If one side length is 5x-3 , the width is the same

Hence -15 x -15

Answer:

4:9

Step-by-step explanation:

13-4=9 AND THERES 4 boys so that means there are 9 girls. So 4:9

A decimal

3.60555127546

Have a great day

Answer:

Yes 656250 is divisible by 10. Answer is 656250.

Answer:

$14.64

Multiply 8 by .67 which is 5.36

Subtract 5.36 from 20.00 and that's 14.64

Answer:

14.64

Step-by-step explanation:

Have a wonderful day hope this helps

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired t-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

H₀: The incentive program does not cuts down on the number of days missed by employees, i.e. d ≥ 0.

Hₐ: The incentive program cuts down on the number of days missed by employees, i.e. d < 0.

From the information provided the data computed is as follows:

 [tex]n=10\\\bar d=-1.1\\SD_{d}=2.99[/tex]

Compute the test statistic value as follows:

 [tex]t=\frac{\bar d}{SD_{d}/\sqrt{n}}[/tex]

   [tex]=\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16[/tex]

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

[tex]p-value=P(t_{n-1}<-1.16)\\=P(t_{10-1}<-1.16)\\=P(t_{9}<-1.16)\\=0.1379[/tex]

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

Answer:

The volume question is 1,120 I think

Answer:

-2151

Step-by-step explanation:

f(x) = –15x^2+9.

Let x = 12

f(12) = -15 ( 12)^2 +9

       = -15 (144) +9

       = -2151

Answer:

-2151

Step-by-step explanation:

F(x) = -15x^2 + 9

F(12) = -15 (12)^ 2 + 9

= -15 * 144 + 9

= -2160 + 9

= -2151

Answer:

3x-3 I think that's it.

Step-by-step explanation:

Answer:

The vertex is (1, -4)

Step-by-step explanation:

Answer:

[tex]V = 208\,u^{3}[/tex] (Option C)

Step-by-step explanation:

The volume of the composite figure is:

[tex]V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)[/tex]

[tex]V = 208\,u^{3}[/tex] (Option C)

Answer:

Train 1: 368 mph

Train 2: 358.1 mph

Step-by-step explanation:

We can write 2 equations to represent this problem.

[tex]x+y=726.1[/tex]

[tex]x=9.9+y[/tex]

The x represents the first train and the y represents the second train.

We can plug in x into the first equation.

[tex](9.9+y)+y=726.1[/tex]

[tex]9.9+2y=726.1[/tex]

[tex]2y=716.2[/tex]

[tex]y=358.1[/tex]

Now that we know our y, we can find our x.

[tex]x=9.9+y[/tex]

[tex]x=9.9+358.1[/tex]

[tex]x=368[/tex]

Answer:

c. Ha : μ < 266.

Step-by-step explanation:

Null hypothesis: The mean value is x.

Alternate hypothesis. The mean value is different than x, greater than x, smaller than x...

In this question:

Average of 266 days, so the null hypothesis is that the mean is 266.

In the sample:

He suspects that the generation time is less than 266. So

c. Ha : μ < 266.

Answer:

x = 2; y = 3; z = 1

Step-by-step explanation:

For the first fertilizer (A) we can form the equation:

y + 2z = 5          

For the second fertilizer (B) we can form the equation:

x + 2y + 5z = 13

For the third fertilizer (C) we can form the equation:

x + 2z = 4

solving simulteneously:

y = 5 - 2z

x = 4 -2z

Substituting (i) and (ii) into (2)

4 - 2z + 10 -4z + 5z = 13

14-z =13, therefore z = 1

substituting z into (i) and (ii)

y = 3

x = 2

Answer:

Angle B = 106.6 degrees

Step-by-step explanation:

b^2= a^2+c^2-2*a*c*cosB

9*9 = 4*4 + 7*7 - 2*7*4*cosB

81= 16+49-56cosB           Subtract 16 and 49 from both sides

16= -56cosB           Divide by -56 on both sides.

cosB= -16/56         Take the arccosine of both sides

B=arccos(-16/56)                    

B= 106.6

Answer:

B. 106.6

Step-by-step explanation:

To solve for angle B, we can use the law of cosines.

Recall that the law of cosines states [tex]b^2=a^2+c^2-2ab*cos(B)[/tex]

When this is solved for angle B, we get [tex]B=cos^{-1}( \frac{a^2+c^2-b^2}{2ac} )[/tex]

In this triangle, [tex]a=7, b=9, c=4[/tex]

Now, we can plug these numbers into our equation and then simplify to get B.

[tex]B=cos^{-1}( \frac{7^2+4^2-9^2}{2(7)(4)} )\\\\B=cos^{-1}( \frac{49+16-81}{56} )\\\\B=cos^{-1} (\frac{-16}{56} )\\\\B=106.602\\\\B=106.6[/tex]

Answer:

89

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

Because the negative of the number is on the opposite side of a number line.

Answer:

The first option

Step-by-step explanation:

In the image, we can notice that NQ is longer than PQ, similar to how JH is longer than NJ. Thus, NQ must be aligned with JH and PQ with JN. As PN and HN are clearly the longest for each triangle, those must be aligned as well.

All of the responses have NP and NH aligned.

The last response does not have NQ aligned with JH.

The second and third do not align PQ and JN.

The first option is our answer.

Answer:

3/k = x

Step-by-step explanation:

5kx +6 = 7kx

Subtract 5kx from each side

5kx -5kx +6 = 7kx-5kx

6 =2kx

Divide each side by 2k

6 /2k = 2kx/2k

3/k = x

Hey, actually I am new here, otherwise I was on brainly.in (India)....so can anyone tell me about some moderators here.....need help....

Answer:

yes scalene as xy=7cm

xz=5cm

yz=2cm

Step-by-step explanation:

by the graph

hope this helps plzz mark me brainliest

Answer:

Scalene

Step-by-step explanation:

Let's find XY, XZ and YZ

XY = √[(6-5)^2 + (4-(-3)] = √[(1^2 ) + (7^2)]=√(1+49) =√50 = 7.0711

YZ = √[(5-5)^2 + (-3 -(-1))^2 ]=√[(0^2) + (-2)^2] =√(0 + 4) = 2

XZ = √[(6-5)^2 + (4-(-1)^2] = √[(1^2 ) + (5^2)]=√(1+25) =√26 = 5.099

By observation XY , XY and YZ are not the same; hence none of the sides is equal

A scalene triangle has no side equal

Answer:

[tex]226.2m^2[/tex]

Step-by-step explanation:

[tex]A_L=2\pi rh=2*\pi *4.5*8\\=226.19467\\=226.1947\\=226.195\\=226.2m^2[/tex]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

[tex] \frac{18}{1500} * 100 = 1.2 [/tex]

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

Answer:

1/25 miles per minute

Step-by-step explanation:

Speed is distance divided by time

1/5 miles ÷ 5 minutes

Copy dot flip

1/5 * 1/5

1/25 miles per minute

Answer:

speed(v)=1.07

Step-by-step explanation:

v=m/s (1/5 mile is 321 m and 5 min is 300 seconds)

=321/300=1.07

Answer: 12

Step-by-step explanation:

If we have n people and we want to do groups of 4, the total number of different combinations is:

[tex]c = \frac{n!}{(n - 4)!4!}[/tex]

and we want find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

[tex]c = \frac{5!}{1!*4!} = 5[/tex]

if n = 6

[tex]c = \frac{6!}{2!*4!} = \frac{6*5}{2} = 15[/tex]

if n = 7

[tex]c = \frac{71}{3!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

if n = 8

[tex]c = \frac{8!}{(4!*4!} = \frac{8*7*6*5}{4*3*2} = 70[/tex]

if n = 9

[tex]c = \frac{9!}{5!*4!} = \frac{9*8*7*6*5}{5*4*3*2} = 126[/tex]

if n = 10

[tex]c = \frac{10!}{6!*4!} = \frac{10*9*8*7}{4*3*2} = 210[/tex]

So you can see the patern here.

So we have the previous number multiplied by n and divided by n - 4

if n = 11

C = 210*11/(11- 4) = 330

if n = 12

C = 330*12/(12 - 4) = 495

Then the minimum number of members such we have more than 365 combinations is 12 members

Answer:

3

Step-by-step explanation:

In the graph, there are three lines , so that indicates that there are 3 proportional relationships

Answer:

A pyramid yes

a hexagon no

a pentagon no

Step-by-step explanation: