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4 years ago

Please help! need the answer

Mathematics

1 answer:

san4es73 [151]4 years ago

6 0

Answer:

Each base angle is 81°

Step-by-step explanation:

A pennant is in the shape of an isosceles triangle and the vertex angle is 18°.

An iscosceles triangle has two equal sides and two equal angles.

So assuming the base angles measure b° each;

b° + b° + 18° = 180° (angles in a triangle add up to 180°)

2b° = 180° - 18° = 162°

b = 162° ÷ 2 = 81°

So each base angle is 81°

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Rewa Delta Union Rugby CEO has become concerned about the slow pace of the rugby games played in the current union rugby, fearin

ozzi

Answer:

We conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

Step-by-step explanation:

We are given that Before the meeting, the mean duration of the 15-sided rugby game time was 3 hours, 5 minutes, that is, 185 minutes.

A random sample of 36 of the 15-sided rugby games after the meeting showed a mean of 179 minutes with a standard deviation of 12 minutes.

Let $\mu$ = mean duration of 15-sided union rugby games after the meeting.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 185 minutes {means that the mean duration of 15-sided union rugby games has increased or remained same after the meeting}

Alternate Hypothesis, $H_A$ : $\mu$ < 185 minutes {means that the mean duration of 15-sided union rugby games has decreased after the meeting}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean duration of 15-sided union rugby games = 179 min

s = sample standard deviation = 12 minutes

n = sample of 15-sided rugby games = 36

So, the test statistics = $\frac{179-185}{\frac{12}{\sqrt{36} } }$ ~ $t_3_5$

= -3

The value of t test statistics is -3.

Now, at 1% significance level the t table gives critical value of -2.437 at 35 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -3 < -2.437, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

6 0

4 years ago

A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the po

brilliants [131]

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

4 0

3 years ago

What is the simplified expression for 3 a squared + 9 a b + 5 minus 4 a squared minus 4 a b + 3?

Gemiola [76]

Answer:

-1ab^2 + 5b + 8

Step-by-step explanation:

3a^2+9ab+5-4a^2-4ab+3

3a^2-4ab^2=-1ab^2

9ab-4ab=5ab

5+3=8

-1ab^2+5ab+8

8 0

3 years ago

Read 2 more answers

For the given function f(x)equals2.8xplus4.4, x is the number of years since 2000 and y (or f(x)) is the percent of students

slega [8]

Use photo math is very useful for things

7 0

3 years ago

How do i solve the system of equations by graphing? 2x+y=7 x-2y=6

scoray [572]

Answer:

Step-by-step explanation:

1. y = -2x + 7

2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)

3. -2y = -x + 6

4. divide entire equation by 2 to isolate y

5. -y = -x + 3

6. multiply entire equation by -1 to make it positive

7. y=x+3

8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)

9. Where the lines intersect is your answer

8 0

4 years ago