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1 year ago

What is the length of a diagonal of a rectangle with a length of 8 meters and a width of 6 meters

Mathematics

1 answer:

RSB [31]1 year ago

7 0

Answer:

10 m

Step-by-step explanation:

If we draw the diagonal of the rectangle, we form a right triangle where the diagonal is the hypotenuse and the legs are 6 and 8.

This is a well-known Pythagorean triple, which gives the diagonal to be 10 m.

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Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.14

poizon [28]

Answer:

0.938

Step-by-step explanation:

From the question :

p = 0.14

Number of children, n = 7

P(x ≤ 2) = P(2) + P(1) + P(0)

Using binomial probability :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

We could also use the binomial probability calculator :

P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936

P(x ≤ 2) = 0.938

8 0

2 years ago

Y = x + 5<br> y = -2x - 4<br>what are the y and x values please

Maksim231197 [3]

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

3x+5=-4

3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

y = 2

Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

3 0

2 years ago

Evaluate: 36/x - 5 X=4

laiz [17]

Answer:

the answer is four

Step-by-step explanation:

Because first you do 36/4 which gets you to 9 and then subtract it by 5 to get 4!

5 0

2 years ago

Read 2 more answers

A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim

Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or $4\ \text{inch}^3$ .

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or $\text{cm}^3$ .

$4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3$

So, the volume of the ball is 65.548 cm³.

7 0

3 years ago

A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches

LekaFEV [45]

Answer:

$L_x=5.3 inches$

Step-by-step explanation:

Average length $\=x =5.3 inches$

Standard deviation $\sigma=0.2 inches$

Sample size $n=50$

Generally The point estimate for the mean length of all bolts in inventory is

$L_x= \=x$

$L_x=5.3 inches$

3 0

2 years ago