Find the median of the following frequency distribution

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.

First, let's find the multiples of 10 and 14 until they equal 70.

[tex]10: 10,20,30,40,50,60,70[/tex]

[tex]14:14,28,42,56,70[/tex]

Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.

Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.

So, [tex]x = 70[/tex].

Hope this helped!

Answer:

x = 35

Step-by-step explanation:

70 factored is 2 x 5 x 7

x  = 35

Answer:

25x

Step-by-step explanation:

100x^2 -250xy +75x

Rewriting

25*4*x*x -25*10 *x*y + 25*3*x

As we can see each term contains 25x

The greatest common factor is 25x

25x( 4x -10y+3)

Answer:

25x

Step-by-step explanation:

GCF means the greatest common factor.

First, we write the factors of these numbers.

=> 100x^2 = 2 * 2 * 5 * 5 * X * X

=> 250xy = 5 * 5 * 5 * 2 * X * Y

=> 75x = 5 * 5 * 5 * x

=> Next, we need to take the numbers that come in all sets.

=> 5 , 5 , x

Next, we multiply these numbers.

=> 25x

So, the GCF of these numbers are 25x

Answer:

Step-by-step explanation:

4 person =  1575 bags

1 person  = 1575:4 = 393.75 bags

40 min = 1 bag

393,75 bags = 40 min•393,75 = 15 750 min

Answer:

11 if you mean x^2

Step-by-step explanation:

Since we are solving for x, we need to just get x by its self. The only thing we have to do is get rid of the exponent of (^2). to do this, we have to take teh square root of both sides:

The square root of x^2 is x

The square root of 121 is 11

So the asnwer is x = 11

Step-by-step explanation: A common mistake in this problem would be to say that if x² = 121, x must equal 11.

However, you must set the equation equal to 0 first.

So our first step is to subtract 121 from both sides to get x² - 121 = 0.

Next, factor the left side to get (x + 11)(x - 11) = 0

So either x + 11 = 0 or x - 11 = 0.

Solving each equation from here, we find that x = -11 or x = 11.

So our answer is not just 11, it's {11, -11}.

Answer:

Domain:  

( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }

Step-by-step explanation:

i used math. way for help

Step-by-step explanation:

L*b=1800m^2

L=2b

2b*b=1800

2b^2=1800

b^2=900

b=30m

L=2*30

=60m

Perimeter=2(l+b)

=2(60+30)

=2*90

=180m

Answer:

Step-by-step explanation:

The figure above is a rectangle

Area of a rectangle = length × width

From the question

The total length of the rectangle = 3x

The total width of the rectangle = 4x + 5

So the area of the figure is

A = 3x( 4x + 5)

Expand

We have the final answer as

Hope this helps you

The equation that could best represent the line of best fit for the given data is; y = 0.625x

The formula for the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept which is the point where the line intersects the y-axis

Now, in this question, we see that the line intersects the y-axis at 0. Thus;

y-intercept; c = 0

Now, let us find the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

Using the first and penultimate coordinate which are;

(0, 0) and (8, 5), we have;

m = (5 - 0)/(8 - 0)

m = 0.625

Thus, the equation is;

y = 0.625x

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Answer:

y=0.625x

Step-by-step explanation:

plato

Answer:

Chemistry

Step-by-step explanation:

To solve the above question, we use the z score formula

Andy took two Exams, Chemistry and Spanish. So we find the z score for both exams.

a) Chemistry Exam

On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (45 - 30)/5

z = 15/5

z = 3

b) On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65.

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

Comparing the z score of both Exams,

Andy had a z score of 3 in the Chemistry exam and 0.8333333333 in the Spanish exam.

Therefore, Andy should be expecting a better grade in the Chemistry exam because his z score in the Chemistry exam was higher than that of the Spanish exam.

Answer:

The second week had 10 more golfers than the first week.

Step-by-step explanation:

The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.

Answer:

3.2 cm = h

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

where b is the base and h is the height

b = 10  and the area is 16

16 =1/2 *10 *h

16 = 5h

Divide each side by 5

16/5 = 5h/5

3.2 cm = h

6:40 or 6 hour 40 minutes,

if you go back(subtract) 1 hour and 40 minutes

i.e. 6hours 40 minutes- 1 hour 40 minutes

subtract minutes from minutes and hours from hours,

5:00

note that here the minutes value is not negative so it was not a problem, what If it was 6:40-1:50?

Answer:

The order is 4) → 5) → 6) → 7) → 2) → 1) → 3)

Please find diagram with the arrangements

Step-by-step explanation:

The horizontal width of an hyperbola

For

1) [tex]\dfrac{(y - 11)^2}{7^2} -\dfrac{(x - 2)^2}{6^2} = 1[/tex]

h = 2, k = 11

The widths are;

Horizontal (h - a, k) to (h + a, k) which is (2 - 7, 11) to (2 + 7, 11) = 14 units wide

(h, k - b) to (h, k + b) which is (2, 11 -6) to (2, 11 + 6) = 12 units wide

2)

[tex]\dfrac{(y - 1)^2}{5^2} -\dfrac{(x - 7)^2}{12^2} = 1[/tex]

h = 7, k = 1

(h - a, k) to (h + a, k) which is (7 - 5, 1) to (7 + 5, 1) = Horizontal width 10 units wide

(h, k - b) to (h, k + b) which is (7, 1 -12) to (7, 1 + 12) = 24 units wide

3) [tex]\dfrac{(x - 6)^2}{6^2} -\dfrac{(y + 1)^2}{3^2} = 1[/tex]

h = 6, k = -1

a = 8, b = 3

The widths are;

(6 - 8, -1) to (6 + 8, -1) Horizontal width = 16

(6, -1 - 3) to 6, -1 + 3) width = 6

4) [tex]\dfrac{(x - 4)^2}{2^2} -\dfrac{(y + 2)^2}{5^2} = 1[/tex]

h = 4, k = -2, a = 2, b = 5

(4 - 2, (-2)) to (4 + 2, (-2)) Horizontal width = 4

(4, -2 - 5) to (4, -2 + 5) width = 10

5) [tex]\dfrac{(y + 5)^2}{2^2} -\dfrac{(x + 4)^2}{3^2} = 1[/tex]

h = -4, k = -5, a = 2, b = 3

(-4 - 2, (-5)) to (-4 + 2, (-5)) Horizontal width = 4

(-4, -5 - 3) to (4, -5 + 3) width = 6

6) [tex]\dfrac{(y + 1)^2}{2^2} -\dfrac{(x - 1)^2}{9^2} = 1[/tex]

h = 1, k = -1, a = 2, b = 9

(1 - 2, (-1)) to (1 + 2, (-1)) Horizontal width = 4

(1, -1 - 9) to (1, -1 + 9) width = 18

7) [tex]\dfrac{(x + 7)^2}{4^2} -\dfrac{(y - 9)^2}{9^2} = 1[/tex]

h = -7, k = 9, a = 4, b = 9

(-7 - 4, 9) to (-7 + 4, 9) Horizontal width = 8

(-7,  9 -9) to (-7, 9 + 9) width = 18

Answer:

F = 100(.5736)  

= 57.36 lbs. (rounded off to 2 decimal places)  

2) sin60 = .866  

F = 18(.866)  

= 15.59 lbs. (rounded off to 2 decimal places)

Step-by-step explanation:

F = friction

Answer:

100sin35° = x

Step-by-step explanation:

I did the assignment, this was the correct answer for me.

Answer:

50%

Step-by-step explanation:

You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.

Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.

A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:

Percentage=Number/total*100

It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.

Total vaccines given= 300+450+665

=1415

Percentage=1415/1500*100

=0.9433*100

=94.33%

Hence the proportion of flue vaccine that has been given is 94.33%.

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Answer:

Mary has 7 flowers

Peter has 1 flower

John has 2 flowers

Step-by-step explanation:

M + P + J = 10

J = 2P

M + P + 2P = 10

M + 3P = 10

P = 1

M + 3 = 10

M = 7

Answer:

95 degrees

Step-by-step explanation:

Measure of arc AB is 360 - (101+97+69) = 360 - 267 = 93 degrees.

Measure of arc DAB is 97+93 = 190 degrees, so measure of angle C is 190/2 =  95 degrees.

===============================================

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

Second term = 24-9 = 15

Third term = 15-9 = 6

We get the sequence 24, 15, 6

Answer:

Complementary effect

Step-by-step explanation:

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

Answer:

Factorise : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y). = (2x-5y){2(3x+4y) - 6(x-y)}. = (2x-5y) × 14y. = (2x-5y) × 14 × y. Answered by Yasmeen Khan | 22nd ...

Step-by-step explanation:

Answer:

the dog was running 3mph faster than david

Answer:

Step-by-step explanation:

The 6x^2 because 6  is not a perfect square.

Answer:

6x^2

Step-by-step explanation:

6 isn't a perfect square

Answer:

10,26,74,218,650

Explanation:

Each number is 4 less then 3 times than previous number.

The list of number is bounded by a set of rules that guide the creation of the set of numbers. The first 5 terms are: 10, 26, 74, 218, 650

Represent the number of terms with n.

So, the nth term is: [tex]T_n[/tex]

The start of the build is 10 means:

[tex]T_1 = 10[/tex]

The rule to generate the next terms is:

[tex]T_{n+1} = 3 \times T_n - 4[/tex] ---- i.e. 4 less than 3 times the previous term

So, the next terms till the 5th are:

[tex]T_{2} = 3 \times 10 - 4 = 26[/tex]

[tex]T_{3} = 3 \times 26- 4 = 74[/tex]

[tex]T_{4} = 3 \times 74- 4 = 218[/tex]

[tex]T_{5} = 3 \times 218- 4 = 650[/tex]

So, the first 5 terms are: 10, 26, 74, 218, 650

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Answer: Answer is the steps

Step-by-step explanation:

If they are down by seven points then it means that they are losing by 7 points.And fortunately they made  two-point field goal so they will now be down by 5 points. Which means that they need 5 more points to tie the game.

For example,

-7 represents the points that they are down by and they made 2  points so

-7 + 2 = -5   which means that they are now down by 5 points to make a tie game.

Answer:-7+2+5=0

Step-by-step explanation:

Answer:

The pepper plant has 15 fruits on it.

Step-by-step explanation:

Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3

collecting like terms,

y = 2x/3 + x

The above is the number of plants the pepper plant has.

y = 2x/3 + x

y = (2x + 3x)/3

y = 5x/3

Since x = number of fruits on tomato plant = 9, then

y = 5x/3

y = 5(9)/3

y = 5 × 3

y = 15

Since y = number of fruits on pepper plant = 15

So, the pepper plant has 15 fruits on it.

Answer:

1001.66 in²

Step-by-step explanation:

radius=r=diameter/2

r=22/2=11

l is the slant =18

surface area of a cone= area of circle + area of the curved part of cone

SA=πr²+πrl

SA=3.14(11)²+3.14(11)(18)=1001.66 in²

Answer:

x = -6

Step-by-step explanation:

Hello!

2x - 15 = 3(2x + 3)

Distribute the 3

3 * 2x = 6x

3 * 3 = 9

2x - 15 = 6x + 9

Subtract 2x from both sides

-15 = 4x + 9

Subtract 9 from both sides

-24 = 4x

Divide both sides by 4

-6 = x

Hope this helps!