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mash [69]
3 years ago
9

Write the claim below as a mathematical statement. State the null and alternative hypotheses and identify which represents the c

laim."An amusement park claims that the mean daily attendance at the park is at least 20,000 people."
Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer with explanation:

Given Claim : An amusement park claims that the mean daily attendance at the park is at least 20,000 people.

Let \mu represents the mean daily attendance at the park.

Then , the set of hypothesis will be :-

Null hypothesis : H_0:\mu\geq20,000  ( It always takes equality sign )

Alternative hypothesis : H_1:\mu  (Just opposite of null hypothesis)

Here null hypothesis represents the claim.

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The closest distance is C. 12 feet
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Write the equation of the line containing the points (3, 6) and (7, - 2) in standard form.
Rama09 [41]

Answer:

y = mx + c \\ 6 = 3m + c...(1) \\  - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m =  - 8 \\  \therefore \: m  = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c  = 12 \\  \boxed{y =  - 2x + 12}

7 0
3 years ago
Read 2 more answers
X+2y=-8 find the slope ​
laila [671]

Answer:

 Slope = -1.000/2.000 = -0.500

 x-intercept = -8/1 = -8.00000

 y-intercept = -8/2 = -4

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the Slope

Calculate the X-Intercept

<em><u>Answer: </u></em>Slope = -1.000/2.000 = -0.500

<em><u>Hope this helps.</u></em>

7 0
4 years ago
Read 2 more answers
In a large data set the 40th percentile is 125 and the 82nd percentile is 158. Approximately what percentage of observations lie
liq [111]

Answer:

42% of observations lie between 125 and 158.

Step-by-step explanation:

Interpretation of a percentile

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Two values have a percentile, how many are between then?

In this example, y is larger than x.

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

When a value Z is said to be in the yth percentile of a set, y% of the values in the set are lower than V and (100-y)% of the values in the set are higher than V.

Also, (y-x)% of the values are between V and Z.

In this problem, we have that:

125 is the 40th percentile

158 is the 82nd percentile

Approximately what percentage of observations lie between 125 and 158

82 - 40 = 42% of observations lie between 125 and 158.

3 0
3 years ago
Find the area of this irregular polygon.
Rainbow [258]

Answer:

970m^{2}

Step-by-step explanation:

This polygon can be divided in two figures: one is a triangle, an the other one is a square.

We'll begin calculating the triangle's area, using the following formula:

At= \frac{b.h}{2}

Where:

H= height = 30 m

B = 9 m + 9 m + 20 m = 38 m

As you can see, I added both sides of the triangle that measure 9 m and also the lenght of the square that measures 20 m! This added up is what the base of the triangle measures on total.

At= \frac{38 m .30 m}{2}

At= \frac{1140 m^{2} }{2}

At= 570 m^{2}

Now we are going to calculate the square's area, that is much more simple:

As= L^{2}

Where:

L=20 m

As= (20 m)^{2} = 400m^{2}

To know the whole figure's area, we add up both areas:

A = At+As = 570m^{2} +400m^{2}=970m^{2}

3 0
3 years ago
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