What is -13 7/12 + 2 1/2

Needing help with this!

Sonbull [250]

assuming the scale is by 1,

a) the slope is rise/run so it rises 3 units and moves 4 units right therefore the slope is 3/4

b) the y intercept is where the line crosses the y axis so by looking at the graph you can tell that the y int is 1

c) and the equation is made up of the slope and the y intercept: y= 3/4x + 1

6 0

4 years ago

24 pens in 2 boxes How many pens in 1 box?__________<br><br> find unit rate

gogolik [260]

24 pens divided by 2 boxes equals 12 pens per box.

8 0

3 years ago

A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and

mr Goodwill [35]

Answer:

Bias for the estimator = -0.56

Mean Square Error for the estimator = 6.6311

Step-by-step explanation:

Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.

To find - Determine the bias and the mean squared error for this estimator of the mean.

Proof -

Let us denote

X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)

Now,

An estimate of mean, μ is suggested as

$\mu = \frac{3X_{1} + 4X_{2} }{8}$

Now

Bias for the estimator = E(μ bar) - μ

= $E( \frac{3X_{1} + 4X_{2} }{8}) - 4.5$

= $\frac{3E(X_{1}) + 4E(X_{2})}{8} - 4.5$

= $\frac{3(4.5) + 4(4.5)}{8} - 4.5$

= $\frac{13.5 + 18}{8} - 4.5$

= $\frac{31.5}{8} - 4.5$

= 3.9375 - 4.5

= - 0.5625 ≈ -0.56

∴ we get

Bias for the estimator = -0.56

Now,

Mean Square Error for the estimator = E[(μ bar - μ)²]

= Var(μ bar) + [Bias(μ bar, μ)]²

= $Var( \frac{3X_{1} + 4X_{2} }{8}) + 0.3136$

= $\frac{1}{64} Var( {3X_{1} + 4X_{2} }) + 0.3136$

= $\frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})] }) + 0.3136$

= $\frac{1}{64} [{3(57.76) + 4(57.76)}] } + 0.3136$

= $\frac{1}{64} [7(57.76)}] } + 0.3136$

= $\frac{1}{64} [404.32] } + 0.3136$

= $6.3175 + 0.3136$

= 6.6311

∴ we get

Mean Square Error for the estimator = 6.6311

6 0

3 years ago

Maria and John have decided that once they live in a house, they want to have a pet. They go to an animal shelter and find sever

rosijanka [135]

Answer:

A. 0.47 ; B. 0.40 ; C. 0.73 ; D. 0.23 & 4.26

Step-by-step explanation:

Total Animals = Total Possible Outcomes = 8 + 12 + 6 + 5 + 11 = 42
Probability = No. of Possible Outcomes / No.of total outcomes
Odds in favour of event = Prob (Event) / Prob (No Event) ; Odds in against event = Prob (No Event) / Prob (Event)

A. Probability of choosing a Cat = All no. of cats / Total no. of animals

= ( 8 + 12 ) / 42 = 20 / 42 = 0.47

B. Probability of choosing a Common Cat or a Labrador Retriever :-

No. of common cats + no.of labrador retrievers / Total Animals

= (12 + 5) / 42 = 17 / 42 = 0.40

C. Probability of selecting non 'mixed breed' dog :-

No. of animals except mix breed dogs / Total Animals

= ( 8 + 12 + 6 + 5 ) / 42 = 31 / 42 = 0.73

D. Probability of choosing Siamese cat = Siamese Cat / Total Animals = 8 / 42 = 0.19 ; Probability Not choosing Siamese Cat = 1 - Prob (Siamese Cat) = 1- 0.19 = 0.81.

Odds in favour of choosing Siamese Cat :-

Prob (Siamese cat) / Prob (Not Siamese Cat) = 0.19 / 0.81 = 0.23

Odds against choosing Siamese Cat :-

Prob (Not Siamese Cat) / Siamese Cat = 0.81 / 0.19 = 4.26

4 0

3 years ago

help help help got math math

Vesnalui [34]

Answer:

>

Step-by-step explanation:

This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.

6 0

2 years ago

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