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3 years ago

(7/8) (x) = -2/3 What is the value of x?

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

Remember
a/b time b/a=1

find 1x
(7/8)x=-2/3

multiply both sides by 8/7 to clea fraction
1x=-16/21

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Can someone please help me on this question

gregori [183]

Answer: It's C.

Step-by-step explanation:

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2 years ago

There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

4 0

3 years ago

Find the surface area of the cylinder in terms of Tt

sveta [45]

Answer:

140 π cm^2

HOPE THIS HELPS! :)

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2 years ago

Read 2 more answers

Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo

svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

3x + 2y = 3,000 ----------(1)

3x + 2y = 3000

2y = 3000 - 3x

y = $\frac{1}{2}[3000-3x]$

y = 1500 - $\frac{3x}{2}$

Now area of the rectangle A = xy square feet

A = x[ $1500-\frac{3x}{2}$ ]

For maximum area $\frac{dA}{dx}=0$

A' = $\frac{d}{dx}(1500x-\frac{3}{2}x^{2})$ = 0

1500 - 3x = 0

3x = 1500

x = 500 ft

From equation (1),

y = 1500 - $\frac{3}{2}\times 500$

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

two fencing 3(500+500) = $3000

other two fencing 2(750+750) = $3000

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3 years ago

A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?

Veronika [31]

Answer:

y = - $\frac{1}{2}$ x + 3

Step-by-step explanation:

y = mx + b

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m = $\frac{0-1}{6-4}$ = - $\frac{1}{2}$

y = -  $\frac{1}{2}$  x + 3

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2 years ago