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3 years ago

–12 – (–7) A. 5 B. -19 C. -5 D. 19

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

8 0

Simplify:
-12 - (-7)
-5

Oksana_A [137]3 years ago

6 0

-5 is the answer
Hope it will help u

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The electromagnetic waves with the shortest wavelengths and the highest frequency are called

Arada [10]

D.) Gamma rays have shortest wavelengths and highest frequency

So, option D is your answer!

Hope this helps!

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3 years ago

Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi

LuckyWell [14K]

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

$E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

$\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

$P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368$

d) The probability that X is between 2 and 5 (P(2<X<5))

$P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2$

4 0

3 years ago

What is the inverse of y=(x-6)^2 +2 ?

drek231 [11]

Answer:

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

3x+6y=36 and -3x-6y=0

Anastasy [175]

Answer:

No solution

Step-by-step explanation:

3x + 6y =36

-3x - 6y =0

------------------add

0 ≠ 36

No solution

4 0

3 years ago

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

8 0

3 years ago