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Len [333]
3 years ago
6

PICTURES INCLUDED HELP NEEDED

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Opposite sides ofa parallelogram are equal.

Therefore, AB= CD and AD= BC.

Diagonals of a parallelogram bisect each other.

Measure of opposite angles of a parallelgram also equal.

So, <ADC= <ABC and <BAD=<BDC

Since diagonal of a parallelogram bisect each other so AC and BD are intersecting at the point E.

Hence, AE= CE and BE= DE.

Hence, the correct choice is 4)AE=CE.

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A average amount of money on deposit in a savings account is $7500. Suppose a random sample of 49 accounts shows the average in
Valentin [98]

Answer:  

z=-3.79

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=6850 represent the mean average amount of money on deposit in savings account for the sample  

\sigma=1200 represent the population standard deviation for the sample  

n=49 sample size  

\mu_o =7500 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the amount of money on deposit in savings account differs from 7500, the system of hypothesis would be:  

Null hypothesis:\mu =7500  

Alternative hypothesis:\mu \neq 7500  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{6850-7500}{\frac{1200}{\sqrt{49}}}=-3.79  

4)P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average amount of money deposit in savings account its significantly different from 7500 tons at 1% of signficance.  

7 0
3 years ago
Which table represents a linear function
Dmitry_Shevchenko [17]

Answer:

The first photo

Step-by-step explanation:

Its a i think

5 0
2 years ago
Suppose the local Barons team wins every game they play with a probability of 0.75. What is the probability that the Barons woul
kondaur [170]

Answer:

The probability is 0.173

Step-by-step explanation:

The probability is of winning is 0.75 = 75/100 = 3/4

This means that the probability of losing is 0.25 = 25/100 = 1/4

So if they are two win 4 games, they will lose three

We can get this probability using the Bernoulli approximation of the binomial theorem

So here, we have

P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3

= 0.173034667969

which is approximately 0.1730

6 0
2 years ago
The total weight of 9 bags of potatoes is 36 kilograms each bag weights the same amount what is the weight in grams of each bag
ra1l [238]

Answer:

4000

Step-by-step explanation:

36kg = 36000g

36000g/9 bags = 4000g

5 0
3 years ago
Read 2 more answers
Find (gof)(3)<br> f(x) = |x+2|<br> g(x) = -x^2<br><br> A. -25<br> B. 1 <br> C. 4<br> D. -15
Ksenya-84 [330]

Answer:

A

Step-by-step explanation:

to find (g ○ f)(3) , evaluate f(3) and substitute the value obtained into g(x)

f(3) = | 3 + 2 | = 5 , then

g(5) = - 5² = - 25

3 0
2 years ago
Read 2 more answers
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