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3 years ago

Find the slope A- 1/4 B- 1/3 C- 1/5 D- 2/3

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

if you move up 1 over three, the line intersects the graph

Lubov Fominskaja [6]3 years ago

5 0

B. 1/3
i took the point (10,50) and (40,60) and you do (60-50)/(40-10)= 10/30= 1/3

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Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0

4 years ago

Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

Agata [3.3K]

Double every year
year one
4 times 2
year 2
4 times 2 times 2 aka 4 times 2^2
year 3
4 times 2 times 2 times 2 aka 4 times 2^3
obviously

at year 'n' the number of rabbits will be
4 times 2^n

6 0

4 years ago

Read 2 more answers

What is 13.026 in expanded form using fractions for the decimal places

Crank

10 + 3 + 2/100 + 6/1000

hope it helps!

3 0

4 years ago

Read 2 more answers

An army contingent of 104 members is to march behind an army band of 96 members in a parade.

Trava [24]

You can dispose a number $x$ of elements in a matrix-like formation with $n\times m$ shape if and only if $n$ and $m$ both divide $x$ , and also $nm=x$ .

So, we need to find the greatest common divisor between $104$ and $96$ , so that we can use that divisor as the number of columns, and then.

To do so, we need to find the prime factorization of the two numbers:

$104 = 2^3\times 13$

$96 = 2^5 \times 3$

So, the two numbers share only one prime in their factorization, namely $2$ , but we can't take "too many" of them: $104$ has "three two's" inside, while $96$ has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include $3$ nor $13$ , because it's not a shared prime.