Help please thank you!! :)

Answer:

784 or 814

Step-by-step explanation:

these two numbers can be the closest written to the value of 800

Given:

The combination C(14,10).

To find:

The value of the given combination.

Solution:

We know that,

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Using this formula, we get

[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]

[tex]C(14,10)=7\times 13\times 11[/tex]

[tex]C(14,10)=1001[/tex]

Therefore, the value of C(14,10) is 1001 and the correct option is B.

The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".

using formula:

[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]

putting the given value into the above formula:

[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]

              [tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]

Therefore, the final answer is "1001".

Find out more information on the equivalent here:

brainly.com/question/17733453

Answer:

this is the answer bb

Step-by-step explanation:

Answer:

i think it's 13.44

Step-by-step explanation:

im not really sure, but let me know if im wright pls!!

hope this helped!!

Answer:

104.92

Step-by-step explanation:

Answer:

D). The distribution of the data is symmetrical, so the mean and median are within the "2.1-3 mile" category.

Step-by-step explanation:

The last statement i.e. 'The distribution..."2.1-3 mile" category' correctly asserts a true claim regarding the data provided in the given histogram. It aptly states that the dissemination of the data is uniform(2, 4, 5, 4, 2(no. of students) live between the distance of 0.1 to 5 miles from the school) and this causes both the mean, as well as, the median of the distribution to fall in the category between '2.1 to 3 mile.' Thus, option D is the correct answer.

Answer:

$1008

Step-by-step explanation:

12 x 7 = $84 his aunt gives him.

1 mile = 5,280 feet

5,280 x 7 = 36,960 feet he ran.

5,280 ÷ 40 = 132 for every mile he runs

132 x 7 = $924 from his neighbor.

924 + 84 = 1,008

Answer:

3 (z = 35)

Step-by-step explanation:

(22 + 19) + 104 + z = 180° => triangle sum theorem

41 + 104 + z = 180

145 + z = 180

145 + z - 145 = 180 - 145

z = 35

Step-by-step explanation:

Q Nine divided by the product of a number and Five

Let the number = x

product of a number and Five = x * 5 = 5x

The expression is given as;

[tex]\frac{9}{5x}[/tex]

Q2 The product of a sum and difference of x and y​

Sum of x and y = x + y

Difference of x and y = x - y

The expression is given as;

(x + y) * ( x -y)

x^2 + xy - xy - y^2

x^2   - y^2

Answer:

7.875

Step-by-step explanation:

1 1/8 times 7= 7.875

Answer:

120.

Step-by-step explanation:

area = L x W which means you multiply 15x 8.

Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

Answer:

x = 8

Step-by-step explanation:

0.4x - 1.2 = 0.15x + 0.8

0.4x - 1.2 + 1.2 = 0.4x

0.15x + 0.8 + 1.2 = 0.15x + 2

0.4x = 0.15x + 2

0.4x - 0.15x = 0.25x

0.15x + 2 - 0.15x = 2

0.25x = 2

0.25x / 0.25 = x

2 / 0.25 = 8

x = 8

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

0.0083628

Step-by-step explanation:

Here is the answer

Answer:

m+5=7

Step-by-step explanation:

a number=m

increased by 5= +5

is 7 = =7

(a number) 5 (increased by 5) +5 (is 7) =7

                  5                             +5          =7

Answer:

67.50

Step-by-step explanation:

Answer:

The hundredth is always the second number after the decimal point (to the right).

So, when rounding to that number look at the number on the right of it, which in this case is 9.

Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.

In this case, the number above 0.49 is 0.5.

Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

PLEASE HELP ME!! ASAP

Given f(x) = x^2 – 10x + k, and the remainder

when f (x) is divided by x + 2 is 32, then what is

the value of k?

Answer:

yyyyyyyyyy

Step-by-step explanation:

yyyyyyyyyyyyyyy

Answer:

$1,038

Step-by-step explanation:

the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).

2.5% as a decimal is 0.025

We will add that to 1, because when we earn interest, we are gaining money.

So we will substitute our given numbers into the equation:

y=6500(1.025)^6

solve:

y=$7,5638 (rounded)

That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount

75638-6500

$1,038

So he made $1,038 in interest

Answer:

Step-by-step explanation:

mkk

Answer:

KL = 6.75cm

JL = 9.3cm

Step-by-step explanation:

SInce Angle DEF is similar to angle JKL.

Then;

DE/EF = JK/KL

Given

DE = 4cm

JK = 3cm

EF = 9cm

Substitute

4/9 = 3/KL

4KL = 27

KL = 27/4

KL = 6.75cm

Similarly

DF/EF = JL/KL

12.4cm/9 = JL/6.75

9JL = 12.4 * 6.75

9JL = 83.7

JL = 83.7/9

JL = 9.3cm

Answer:

a. 4×2 = 8

b. E = 120

c. F = 400