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KatRina [158]
3 years ago
9

class="latex-formula">

​
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer: 21.9

131.4 divided by 6

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Jeffrey is biking through the mountains. He bikes for six hours every day. When he started his ride one day the temperature was
Mashcka [7]

Answer:

47

Step-by-step explanation:

6 0
3 years ago
Write the equation of a line in slope-intercept form that goes through the points (-4, 3) and (-5, 1). You must show your work
Artist 52 [7]
-4/3 -5/1= 120 so if you add them they equal 120 which is -120
6 0
3 years ago
A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio
natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, \bar{x} = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 24\\H_A: \mu \neq 24

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

Since,  the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0
3 years ago
Explain please, I’ve been having trouble with this question
GuDViN [60]

Step-by-step explanation:

I didn't need the other angles, but right of the bat you can tell it's two right triangles back to back.

<em>y </em> has to be 90° , as you have noticed they already gave you 70° on the right side of the shape meaning if you were to add 90 which is why plus 70 what would that give you? 160.

the total interior for a triangles angles has to be 180°. if you do the math 180 - 160 you get the leftover 20° for x.

I suck at explaining stuff, hope this helps

7 0
2 years ago
A rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s = 120t - 4t2 meters in t seco
12345 [234]

Answer:

Step-by-step explanation:

Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s(t) = 120t - 4t^2

where t is expressed in seconds

The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity

Velocity at time t = s'(t) = 120-8t

This becomes 0 when t =15 seconds

Hence at 15th second the rock starts falling and upto

s(15) = 120(15)-4(15^2)\\= 900 metres high it goes

The time taken to reach highest point is = 15 seconds.

6 0
3 years ago
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