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3 years ago

The crose harbor tunnel is about 1900m long . it is a little less than --------- km.

1 answer:

Volgvan3 years ago

4 0

If you would like to convert meters to kilometers, you can calculate this using the following step:
1 meter = 0.001 kilometers
1900 m = 1900 * 0.001 km = 1.9 km

If the tunnel is about 1900 m = 1.9 km long, then this is a little less than 2 km, because 1.9 km < 2 km.

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Find the number of real- number solutions of the equation x^2+10=2

Andrew [12]

Answer:

imaginary

Step-by-step explanation:

$x {}^{2} = 2 - 10 \\ {x}^{2} = - 8 \\ x = \sqrt{ - 8}$

from the working strp, we know that the number is imaginary

we can't square root the negative number

4 0

3 years ago

Please help me i cant get this i. honestly just need someone to give the answers for this lesson

Likurg_2 [28]

Area of the triangle = (1/2)*base* height = (1/2)*3*6 = 9 sm²
We have 4 triangles like this one ,
so area of 4 triangles = 9*4 = 36 cm².
Area of the square = 3*3 = 9 cm²

Surface area here means area all triangles + area of the square =36 +9 =
= 45 cm ²

Answer is 45 cm².

7 0

3 years ago

Does the graph represent a function?

fomenos

Hey there!

No, the graph is not a function because it has two of the same inputs, (7, -6) and (7, -7).

It also can't be a linear function because the graphs are not pointed to form a straight line.

Hope this helps!

Have a great day!

8 0

3 years ago

Read 2 more answers

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

$x=37\ packages\ of\ Twinkies$

7 0

3 years ago