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Arturiano [62]
3 years ago
5

A fair coin is tossed and a single number cube is rolled. the probability of rolling a number less than 5 is ________________. t

he probability of flipping heads and rolling an odd number is _______________.
Mathematics
1 answer:
Alik [6]3 years ago
7 0
You have a 4/ 6 chance 
then you have a 2/6 chance if the number is an odd number then reducing you would get 
1.   2/3 
2.  1/3 
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Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna
uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : \hat{p}=\dfrac{150}{400}=0.375

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})

=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]

=P(z>-1.02)=P(z-z)=P(Z

\approx0.8461  [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

4 0
4 years ago
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
Hunter-Best [27]
The samples he chose may not be a representative sample because the number of students per foreign language class may not be the same. One class may have a very large number of students while another may have only a few. Taking equal number of students per class is not a representative sample.<span />
6 0
4 years ago
Read 2 more answers
Given the parent function f(x) = 2^x, which graph shows f(x) + 1?
mixer [17]

Answer: First Option

a) exponential function going through point (0, 2) and ending up on the right

Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

f(x) = 2^x

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation y = f(x) +1 then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)

The transform function is y =2^x +1

Finally the answer is the first option

4 0
3 years ago
Ms. Johnson earns $47,000 per year. She is paid weekly and puts 8% of her salary
Gekata [30.6K]
You divide 47,000 by 8. You should get 5,875. That should be the answer
3 0
3 years ago
Find the slope: x + 7y = 21​
Aleksandr [31]

Answer:  1/7

Step-by-step explanation:

solve for y

7 0
3 years ago
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