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JulsSmile [24]
3 years ago
6

If EH = 76, calculate DI.

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

DI = 38

Step-by-step explanation:

Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is

\frac{DI}{EH} = \frac{DC}{EC} , substitute values

\frac{DI}{76} = \frac{1}{2}  ( cross- multiply )

2DI = 76 ( divide both sides by 2 )

DI = 38

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Answer:

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2 years ago
What is the distance between begin ordered pair 8 comma negative 3 comma 4 end ordered pair and begin ordered pair 6 comma negat
katen-ka-za [31]

Answer:

d = \sqrt{14} = 3.74...

Step-by-step explanation:

To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2 - z_1)^2} \\d = \sqrt{(8 - 6)^2 + (-3--4)^2 + (4-1)^2} \\d = \sqrt{(2)^2 + (1)^2 + (3)^2} \\d = \sqrt{4 + 1 + 9}\\ d = \sqrt{14} = 3.74...

5 0
3 years ago
Fill in the blanks below to make a true statement. In a binomial experiment with n trials and probability of success p, if np (1
Sergeu [11.5K]

Answer:

\mu_{x}=np

\sigma^2_{X}=np(1-p)

Step-by-step explanation:

∵ When x is a random variable having distribution B(n, p), then for sufficiently large value of n, the following random variable has a standard normal distribution,

\frac{x-\mu}{\sigma}\sim N(0,1)

Where,

\mu=np

\sigma^2=np(1-p)

Here the variable X has a binomial distribution,

Such that, np (1 - p) ≥ 10 ⇒ n is sufficiently large.

Where, n is the total numbers of trials, p is success in each trials,

So, the mean of variable X is,

\mu_{X} = np

And, variance of variable X is,

\sigma^2{X}=np(1-p)

3 0
3 years ago
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Hitman42 [59]

Answer:

Subtract 5 from each side

Step-by-step explanation:

This would put all coefficients on one side.

7 0
2 years ago
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0
3 years ago
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