Consider these two histograms representing two sets of data with 10 observations each. Which of the following is true?

A. The means are equal and the standard deviation of Plot 1 is smaller than the standard deviation of Plot 2.
B. The means are equal and the standard deviations are equal.
C. The mean and standard deviation of Plot 2 are larger than the mean and standard deviation of Plot 1.
D. The means are equal and the standard deviation of Plot 1 is larger than the standard deviation of Plot 2.

Divide total students by the size of the group:

35 / 5 = 7 groups.

Do 35 divided by 5 and it will give you 7. So Mr. Brown will have 7 teams of 5.

the answer you are looking for is not c or b or a the answer is 4/11 you can not simplify it any lower.

it is 8 or  10. multiply the 10d by 11 0r 12. 13 or 14

First of all, let's get rid of the absolute values. If the number inside is positive, don't do anything. If it's negative, switch the sign. So, the expression becomes

[tex] 6 + 3\cdot 4 + 5 - 0 \cdot 6 [/tex]

We have to perform multiplications first:

[tex] 6 + 12 + 5 - 0 [/tex]

The last subtraction by 0 doesn't affect the number in any way, so we can ignore it:

[tex] 6 + 12 + 5 [/tex]

Now you can perform the sums just as they appear:

[tex] 6 + 12 + 5 = 18 + 5 = 23 [/tex]

|-6| + 3|4| + |-5| - 0 * 6    

Note: absolute value makes the number positive

 6  + 3(4) +  5   - 0 * 6      

Now, use the order of operations (multiply first)

 6   + 12  + 5   -   0        

Next, add and subtract

     18      + 5   -   0

            23      -   0

                    23

Answer: 23

You can't simplify this equation anymore.

The numbers -9 and -3 are 3 units from −6 on this number line.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given a number line,

The 3 units left to the -6 is ⇒ -6 - 3 = -9

The 3 units right to the -6 ⇒ -6 + 3 = -3

Hence "The numbers -9 and -3 are 3 units from −6 on this number line".

To learn more about the number line,

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The numbers that are 3 units from -6 on the number line are determined as: -9 and -3.

What is a number line?

A number line is a visual tool that displays numbers in a linear sequence, extending endlessly in both positive and negative directions, illustrating their comparative sizes and positions.

To find numbers that are 3 units from -6 on the number line, you need to consider both numbers that are 3 units to the right and 3 units to the left of -6.

To the right of -6: -6 + 3 = -3

To the left of -6: -6 - 3 = -9

So, the correct numbers are:

D. -3

B. -9

Place them on the number line accordingly.

To solve this question, let us take one part at a time.

Part 1 (MHz to GHz)

We know that 1 MHz=0.01 GHz

Therefore, [tex]63.45 MHz=63.45\times 0.001 GHz=0.06345 GHz[/tex]

Thus, for the time being we know that Option A is correct.

Part 2 (MHz to KHz)

We know that 1 MHz=1000 KHz

Therefore, [tex]63.45 MHz=63.45\times 1000 KHz=63450 KHz[/tex]

Thus, Option B too is correct.

Therefore, Both A and B are correct. Thus, out of the given options, Option C is correct.

the reciprocal of 5 3/5 is 5/28

Hello,

Please, see the attached files.

Thanks.

Answer:

It is rotated 180 degrees then reflected on the y-axis

Step-by-step explanation:

Total = 21 feet

if each is 3 feet

21/3 = 7

Therefore, there are 7 sections

Mathematics defines division as breaking into parts a larger unit to make several smaller units.

Division of 21 feet wallpaper into 3 feet section will give 7 small parts of the wallpaper.

To reach above answer, following calculation was made:

[tex]\begin{aligned} \rm Total\: length\:of \: the \:wallpaper &= 21\rm \:centimetres\\Length \:of\:each\:section &= 3\: \rm centimetres\end[/tex]

Therefore, number of sections will be the division of total length to length of each section.

[tex]\rm \begin{aligned} Number \:of \:sections &= \dfrac{\rmTotal\: length}{\rmLength\:of\:each\:section}\\ \\&= \dfrac{\rm 21\:centimetres}{\rm 3\:centimetres}\\\\&= \rm 7 \:sections \end[/tex]

Hence, 21 centimetres long wallpaper can be divided into 7 sections that are 3 centimetres long.

Learn more about division here:

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                       Qty                    %                       Qty * %

Solution 1:        x                 6% = 0.06        =      0.06x

Solution 2:    392 - x         2% = 0.02        =      0.02(392 - x)  = 7.84 - 0.02x

Mixture:          392              5% = 0.05        =     0.06x + 7.84 - 0.02x

                                                 392(0.05)   =    0.08x + 7.84

                                                           19.6   =    0.08x + 7.84

                                                          11.76   =    0.08x

                                                            147    =      x

Solution 2:  392 - x    = 392 - (147)   = 245

Answer: 147 gallons 6% and 245 gallons of 2%

{x*0.02+0.06y=392*0.05

{x+y=392, x=392-y

0.04y=11.76, y=294; x=392-294=98

There is need 98 gallons of milk with 2% butterfat and 294 gallons of milk with 6% butterfat

The correct answer is the third graph, C!

I hope this helped you!

i believe that the median would be 98.5, because you add the two middle numbers which in this case are 99 and 98 and divide by 2.

98 or 98 1/2! Hope this helps ya! <3

Steps:

2y-3=4y+6

2y-3+3=4y+6+3

2y=4y+9

2y-4y=4y+9-4y

-2y=9

-2y/-2=9/-2

y=-9/2

The correct answer is y=-9/2

Answer:

m∠SVT= 79

Step-by-step explanation:

8y-33= 5y+9

Subtract 5y from both sides

8y-33= 5y+9

8y-33= 5y +9

-5y     -5y

3y - 33= 9

Then add 33 to the other side

3y-33 = 9

   +33  +33

= 3y= 42

Side by Side need to divide (divide by 3 on each side)

3y= 42

/3    /3

y= 143

m∠SVT = 5y + 9

m∠SVT = 5(14) + 9

m∠SVT = 70 + 9

m∠SVT =  79

Answer:

In this case, the answer is $88.00. Have a nice day! <3

Step-by-step explanation:

Algebraic expression:

x-5/5+10

Solution:

                                                                                                 ∴-1 + 10 = 9

So remember the product rule of radicals: √ab = √a × √b

In this case:

√2 × √5 × √11 = √(2 × 5 × 11) = √110

√110 is your final answer.

The third side is 9 cm long

Let [tex]x[/tex] represent one of the equal sides. Then the` other side will be [tex]2x-5[/tex].

Adding all the length of the sides should give 23. Thus,

[tex]x+x+2x-5=23[/tex]

This implies that,

[tex]4x-5=23[/tex]

We group like terms and simplify to obtain.

[tex]4x=23+5[/tex]

[tex]4x=28[/tex]

Divide through by 4 to get

[tex]x=7[/tex]

Hence the length of the other side is

[tex]2(7)-5=9[/tex]

Answer:

19.57

Step-by-step explanation:

100% of 19 is 19.

In order to find out what 1% of 19, move the decimal point two place to the left. 1% of 19= 0.19. To find 3% of 19, multiply .19 x 3. add 0.19 x 3 to 19, aka add 0.57 to 19 to get 19.57= 103% of 19

Answer:

19.57 is the answer

Step-by-step explanation:

28 miles

increasing by 40% = original + increase = 100 + 40 = 140% = 1.4

multiplying 20 by 1.4 gives total he will run

miles run = 1.4 × 20 = 28

Answer:

28 miles

Step-by-step explanation:

Just multiply (20 miles per week) by 1.40:    1.40(20 mpw) = 28 miles

The distance traveled by Davis family = 35 miles

Time taken to cover the distance = [tex]\frac{1}{2}[/tex] hour

Speed = Distance [tex]\div[/tex] Time

Speed = [tex]35 \div \frac{1}{2}[/tex]

Speed = [tex]35 \times 2[/tex]

So, speed = 70 miles/hour.

At 2:00 pm, the family destination was 245 miles away.

So, the number of hours, when the family was 245 miles away = [tex]245 \div 70[/tex]

=  3.5 hours

So, after 3.5 hours,  that is at 5:30 pm, the Davis family will be 245 miles away.

To find the Davis family's arrival time, you calculate the average speed, find the time needed for the remaining distance, and then add it to the current time of 2:00pm. Their arrival time is calculated to be 5:30pm.

The student asked: The Davis family traveled 35 miles in 1/2 hour. If it is currently 2:00pm and the family destination is 245 miles away, at what time will they arrive? To solve this, we need to calculate the total travel time based on their average speed and the remaining distance to the destination.

First, we find their speed by dividing the distance traveled by the time taken: 35 miles / 0.5 hours = 70 miles per hour. Next, we calculate the remaining distance to travel, which is 245 miles.

To find the time needed to cover the remaining distance, we divide the distance by the speed: 245 miles / 70 miles per hour = 3.5 hours.

Now, we add the travel time to the current time. Since it's 2:00pm, adding 3.5 hours gives us 5:30pm, which is the arrival time.

Answer:

Real power,P is 10.286 Watts

Step-by-step explanation:

We are given that in a parallel circuit, [tex]E_{T}=240V[/tex],R=5.6kΩ and [tex]X_{L}[/tex]=3.6kΩ

We are asked to find P which means real power, that is power due to resistance.

Let us find current through resistor first.

That is [tex]I_{R}=\frac{E_{T}}{R}=\frac{240}{5.6}=\frac{300}{7}=42.86[/tex]milli Amps=0.04286 A

Hence [tex]P=E_{T}I_{R}[/tex]

                    =240X0.04286=10.286 Watts

The final table is in the attached picture.

Before beginning, you should note that:

To get rid of a fraction, this fraction should be multiplied that is equal to or is a multiple of its denominator.

This means that:

[tex]\frac{1}{y} * ay = a[/tex]

Now, for the given:

We have the equation: [tex]y = \frac{1}{3} x + 2[/tex]

The denominator of the fraction is 3, therefore to get rid of it we will need x to be a 3 or a multiple of 3.

Let's consider the x values to be -3, 0, 3 and 6.

For x = -3: [tex]y = \frac{1}{3} (-3) + 2[/tex] = -3 + 2 = -1 .....>First order pair is (-3,-1)

For x = 0: [tex]y = \frac{1}{3} (0) + 2[/tex] = 0 + 2 = 2 .....> Second order pair is (0,2)

For x = 3: [tex]y = \frac{1}{3} (3) + 2[/tex] = 1 + 2 = 3 .....> Third order pair is (3,3)

For x = 6: [tex]y = \frac{1}{3} (6) + 2[/tex] = 2 + 2 = 4 .....> Fourth order pair is (6,4)

Hope this helps :)