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lys-0071 [83]
3 years ago
12

Solve for d. 3d - d - 1 = 5 HELP

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

d=3

Step-by-step explanation:

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The Town of Hertfordshire clerk knows that 23% of dogs in the town have completed emotional support training. Hertfordshire plan
Nataly_w [17]

Answer:

95.64% probability that under 30% of the dogs are emotional support trained

Step-by-step explanation:

For each dog, there are only two possible outcomes. Either they have completed emotional support training, or they have not. So we use the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

\mu = E(X) = np = 100*0.23 = 23

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.23*0.77} = 4.21

What is the probability that under 30% of the dogs are emotional support trained?

30% of 100 is 0.3*100 = 30

So this is the pvalue of Z when X = 30.

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 23}{4.1}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564.

So there is a 95.64% probability that under 30% of the dogs are emotional support trained

5 0
3 years ago
The product of 5/2 and 13/4 is greater than , less than, or equal to 13/4
Bas_tet [7]

Answer:

the product is greater than 13/4

Step-by-step explanation:

5/2 x 13/4 = 8.125

13/4= 3.25

8.125>3.25

8 0
3 years ago
The table shows values for functions f(x) and g(x) .
sladkih [1.3K]
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
 However, there is another solution route. We have a table with the values.
 The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
 f (0) = g (0) = 1
 f (1) = g (1) = 1/2
 answer
 x = 0
 x = 1
 Note:
 F (0) in the table is incorrect if the function is
 f (x) = 0.5x
 F (0) in the table is correct if the function is
 f (x) = 0.5 ^ x
5 0
3 years ago
What is the difference?<br><br> 10.22 – 3.651<br><br> The difference is _____
irinina [24]

Answer:

6.569

Step-by-step explanation:

10.22

-3.651

_______

6.569

I hope this helps!!!! Have a great day!!!

3 0
3 years ago
Read 2 more answers
What is 5 x 3/4 and please give me your simplest answer
lord [1]

Answer:

15/4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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