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4 years ago

Write the arithmetic series in summation notation 4+8+12+16

Mathematics

1 answer:

alexandr402 [8]4 years ago

3 0

Answer:

Step-by-step explanation:

n=4

∑ 4 + (n-1)4

n =1

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elena-s [515]

Jehebwhsjebvddndnene

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3 years ago

One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po

lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

$f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y$

When x = 8, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0$

When x = 7, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}$

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

$tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}$

Where;

h = The height at which the laser meets the wall

$h = \dfrac{9 \times 7}{8} =7.875$

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

$y = \dfrac{9 \times 7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet$

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0

3 years ago

Find the value of the test statistic z using . The claim is that the proportion of adults who smoked a cigarette in the past wee

kolezko [41]

Correct question is;

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n = 1168 subjects with 385 saying that they smoked a cigarette in the past week. Find the value of the test statistic

Answer:

Test statistic is z = -1.46

Step-by-step explanation:

Let's first of all define the hypotheses:

Null hypothesis:

H0: p = 0.35, i.e 35% in the sample of 1,168 adults have smoked cigarettes in the previous week.

Alternative hypothesis:

Ha: p < 0.35, i.e less than 35% in the sample of 1,168 adults have smoked cigarette in the previous week.

The sample size is, n = 1,168 while the number of adults who smoked in the previous week would be; x = 385

Therefore, the sample proportion of adults who smoked in the previous week would be calculated as;

p^ = x/n = 385/1168 ≈ 0.3296

Now, from Central Limit Theorem for large samples, The sampling distribution of the sample proportion p^, will have a mean of μ = p = 0.35

Formula for standard deviation is;

σ = √[p (1 – p)/n]

σ = √(0.35 × (1 – 0.35)/1168)

σ = √0.0001947774

σ = 0.014

Formula for test statistic is;

z = (p^ - p)/σ

z = (0.3296 - 0.35)/0.014

z = - 1.46

3 0

4 years ago

I'm thinking of a number. I subtract 4 and then halve the result. The answer is 9. What is the number I am thinking of?

Maru [420]

Hey There

Correct answer: 13

Why? To find this out you need to add 4 to 9 to figure it out

have a good day

4 0

4 years ago

Read 2 more answers

I need help question below

elena-14-01-66 [18.8K]

Answer:

15:24 will be your anwser

7 0

2 years ago