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3 years ago

At what values of x does the graph of f(x) = sin x intersect the x-axis?

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Step-by-step explanation:

$n\pi \ \\$

where n is an element of Integer

* the values of sinx intersects the x-axis when sinx=0

for example:

sin0°=sin180°=sin360°=0

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A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let

kondaur [170]

Answer:

Null hypothesis: $p_1 -p_2 =0$ ,

Alternative hypothesis: $p_1 -p_2 > 0$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Some Notation

$p_1$ represent the proportion of the news media that is Democrat

$p_2$ represent the proportion of the public that is Democrat

On this case the claim that they want to test is: "That a larger proportion of members of the news media are Democrats when compared to the general public". So we want to check if the population proportion p1 is higher than p2, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis: $p_1 \leq p_2$

Or $p_1 -p_2 \leq 0$

The null hypothesis can be on this way: $p_1 -p_2 =0$ , but is better put the complement of the alternative hypothesis.

Alternative hypothesis: $p_1 -p_2 > 0$

5 0

3 years ago

Use the chart below to answer the following questions...

Scilla [17]

a) Smith family spend $\$11208$ per year to raise their child from 5 to 18 years old.

b) If the family decides to send their child to a 4-year public college, they will spend $\$7500$ per year

c) Valnez family will be pay $\$12517$ per year to raise the child from birth to 18 years old

d) $\$15714$ is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

Step-by-step explanation:

Part a) How much will the Smith family spend per year to raise their child from 5 to 18 years old? Round to the nearest dollar.

The cost from 5 to 18 years old is $145,700

Per year cost will be:

Divide the total amount by the number of years from 5 to 18 years. i.e 18-5 = 13 years

Cost per year: $\frac{145700}{13}$

Cost per year: $\$11208$

So, Smith family spend $\$11208$ per year to raise their child from 5 to 18 years old.

Part b) If the family decides to send their child to a 4-year public college, how much will they spend per year?

The cost of 4 year Public College $30,000

Cost per year: $\frac{30000}{4}$

Cost per year: $\$7500$

So, If the family decides to send their child to a 4-year public college, they will spend $\$7500$ per year

Part c) How much will the Valnez family pay per year to raise the child from birth to 18 years old

Cost from Birth to 5 years old $79,600

Cost from 5 to 18 years old $145,700

$Total\,\,cost = \$79,600+\$145,700\\Total\,\,cost =\$225300$

Total years: 18

Cost per year: $\frac{225300}{18}$

Cost per year: $\$12517$

Valnez family will be pay $\$12517$ per year to raise the child from birth to 18 years old

Part d) What is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college? Round to the nearest dollar.

From birth to 18 years (found in part c)

Cost from birth to 18 years: $225300

Cost of 4-year Private College: $120,400

Total Cost: $\$225300+\$120,400$

Total Cost: $\$345700$

Total years: 18+4 = 22

Cost per year: $\frac{345700}{22}$

Cost per year: $\$15714$

$\$15714$ is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

4 0

3 years ago

A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilo

Olegator [25]

The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.

<h3>What is the distance in kilometres covered by the satellite after 8 revolutions?</h3>

Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;

D = 6371 + (343)×2

Hence, we have; diameter, D = 7057 km.

Hence, the distance travelled after 8 revolutions is;

C = 8 × πd

C = 8 × 3.14 × 7057

C = 177,271.8 km.

Read more on circumference of a circle;

brainly.com/question/20489969

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4 0

1 year ago

What is 4.77 percent of 35

andrew11 [14]

(4.77/100)*35
(4.77*35)/100
166.95/100= 1.6695

=1.67

4 0

3 years ago

Read 2 more answers

at a volleyball game tournament the amount of sport drink in a team's cooler decoder decrease decrease at a rate of 3 quarts per

Anarel [89]

-6

3 quarts drank over 1 game, next game another 3. 6 quarts were drank and the decrease was by -6

8 0

3 years ago