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svetlana [45]
3 years ago
12

I feel like I always ask for help :/ but can someone answer this please, thanks

Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0
You are correct. You multiply both sides of the second equation by -9 so that the y turns into -9y. That way you add it to the +9y in the first equation to get 0y (the y terms cancel afterward). Nice work.
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Wang Yan drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphe
vredina [299]

Answer:

Step-by-step explanation:

5/6 liters

8 0
3 years ago
Suppose that 1% of all computers of a certain type experience CPU failure during the warranty period. If a simple random sample
Zigmanuir [339]

Answer:

A)

μ = 5

σ = 2.2

B)

P(0) = 0.0066

C)

P(x ≥ 4) = 0.74

Step-by-step explanation:

A) The expected value is going to be the same as the mean μ.

We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.

For binomial distributions:

μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)

μ = (500)(0.01) = 5

σ = \sqrt{npq}, where q = 1 - p

σ = \sqrt{(500)(0.01)(0.99)} = 2.2

B) We can use the binomial probability formula

P(x)=(\frac{n!}{(n-x)!x!}) × pˣ × qⁿ⁻ˣ

P(0)=(\frac{500!}{(500-0)!0!}) × 0.01⁰ × 0.99⁵⁰⁰

C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.

6 0
3 years ago
Suppose you begin with a pile of n stones and split this pile into n piles of one stone each by successively splitting a pile of
rodikova [14]
Start with five stones
7 0
3 years ago
If Noah ran 2 1/2 miles in 3/5 How fast, in miles per hour, did he run?
Olegator [25]
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours

speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr

Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr

Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr

Anna was the fastest
4 0
3 years ago
Read 2 more answers
given f(x)=3^x-2 and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur b
Leviafan [203]

Answer:

g(x)=3^{3x}+2

The transformation that occurs from f(x)\rightarrow g(x) is compression by 3 units horizontally and shift  of 4 units upwards.

Step-by-step explanation:

Given

f(x)=3^x-2

g(x)=f(3x)+4

Translation Rules:

f(x)\rightarrow f(cx)

If c>1 the function is compressed c units horizontally.

If c and c>0  the function stretches c units horizontally.

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying the rules to f(x)

Step 1

f(x)\rightarrow f(3x)

f(3x)=3^{3x}-2

[compressed 3 units horizontally]

Step 2

f(3x)\rightarrow f(3x)+4=g(x)

f(3x)+4=3^{3x}-2+4

∴ g(x)=3^{3x}+2

[shifts 4 nits up]

∴ The transformation that occurs from f(x)\rightarrow g(x) is compression by 3 units horizontally and shift  of 4 units upwards.

5 0
3 years ago
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