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4 years ago

Write the fraction or mixed number as a decimal

Mathematics

1 answer:

GrogVix [38]4 years ago

4 0

Answer:

look below

Step-by-step explanation:

To write a fraction or mixed number as a decimal, divide the numerator by the denominator. So, for example, if you had 5/2, then you'd do 5÷2, which gives you 2.5. Hope that helped!

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The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1

Aleksandr-060686 [28]

Answer:

a) The probability that a student has either a Visa card or a MasterCard is 0.71.

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b) In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards is $P(V \cap M)=0.03$

a) Probability that a student has either a Visa card or a Master Card is given by,

$P(V \cup M) = P(V) + P(M) - P(V\cap M)$

$P(V \cup M) = 0.63+ 0.11- 0.03$

$P(V \cup M) =0.74- 0.03$

$P(V \cup M) =0.71$

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if $P(A\cap B)=P(A)P(B)$

For V and M to be independent the condition is satisfied,

$P(V\cap M)=P(V)P(M)$

Substitute the values,

$0.03=0.63\times 0.11$

$0.03\neq 0.0693$

So, V and M are not independent.

6 0

3 years ago

The National Association of Realtors reported that 26% of home buyers in the state of Florida are foreigners. A random sample of

Paladinen [302]

Answer:

Hypothesis

$H_0: \pi=0.26\\\\H_a: \pi\neq 0.26$

P-value = 0.078

Conclusion: The null hypothesis is rejected. There is enough evidence to claim that the proportion of foreigners home buyers is different from 26%.

Step-by-step explanation:

We will perform a hypothesis test on a proportion.

The null hypothesis states that 26% of home buyers are foreigners.

The alternative hypothesis states that the proportion is different than 26%.

$H_0: \pi=0.26\\\\H_a: \pi\neq 0.26$

The significance level is α=0.10.

The sample proportion is:

$p=x/N=20/110=0.182$

The standard error is:

$\sigma_p=\sqrt{\frac{\pi(1-\pi)}{n} }=\sqrt{\frac{0.26*0.74}{110}} =\sqrt{\frac{0.1924}{110} } =\sqrt{0.00175} \\\\\sigma_p=0.042$

Then, we can calculate the z-statistic as:

$z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.182-0.26+0.004}{0.042}=- \frac{0.074}{0.042}= -1.762$

The P-value can be calculated as:

$P-value=2*P(z$

The P-value is smaller than the significance level, so the effect is significant.

The null hypothesis is rejected. There is enough evidence to claim that the proportion of foreigners home buyers is different from 26%.

5 0

4 years ago

Name two adjacent angles to MJL

malfutka [58]

KJL and NJM are both adjacent to MJL

4 0

3 years ago

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Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30

Sav [38]

Answer:

y=-5/3x+10

-5/3

(0,10)

Step-by-step explanation:

5x+3y=30

-5x. -5x

3y=-5x+30

÷3. ÷3

y=-5/3x+10

the number by the x is the slope and the constant

is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)

4 0

3 years ago

Which table shows negative correlation? A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

zhenek [66]

Answer: B

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers