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2 years ago

[IMAGE] please help me with 1, 2, and 3

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

7 0

Answer:

1. 5n + 10d = 90

2. (18,0)

3. (0,9)

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I can't do this one

Nikitich [7]

The answer is F.) 0= x^2 - 15x + 54

4 0

3 years ago

The rate of change is<br><br> A. -4<br> B. -1<br> C. 1<br> D. 4

babymother [125]

The rate of change is 4 so your answer would be D. 4

3 0

2 years ago

The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 part

nalin [4]

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

4 0

3 years ago

I need help with this question

mariarad [96]

Answer:

133

Step-by-step explanation:

Answer is 133

6 0

3 years ago

Read 2 more answers

Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tr

Basile [38]

Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem:

The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.

The amount decays by about 5% per year, hence r = 0.05.

Thus, the equation is given by:

$A(t) = A(0)(1 - r)^t$

$A(t) = 450000(1 - 0.05)^t$

$A(t) = 450000(0.95)^t$

After 11 years, the amount is given by:

$A(11) = 450000(0.95)^{11} = 255960$

The bottle contains 255,960 atoms of tritium after 11 years.

More can be learned about exponential functions at brainly.com/question/25537936

8 0

2 years ago