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Oksanka [162]
2 years ago
15

Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coord

inate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards

Mathematics
2 answers:
Nataly [62]2 years ago
8 0

Answer:

it should be 12

i think :)

i hope im correct

Step-by-step explanation:

s344n2d4d5 [400]2 years ago
6 0
It should be 12
I think
Step-by-step-explanation
:D
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Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
A rectangle has a height to width ratio of 3:4.5. Give two examples of dimensions for rectangles that could be scaled versions o
OlgaM077 [116]

We have been given that a rectangle has a height to width ratio of 3:4.5.

Let h be height and w be width of rectangle.

We can set our given information in an equation as:

\frac{h}{w} =\frac{3}{4.5}

h=\frac{3}{4.5} *w

Now we will substitute h=1 in this equation.

1=\frac{3}{4.5} *w

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w=\frac{4.5}{3} =1.5

We can see that width of rectangle is 1.5 times height of rectangle.

Our one set of dimensions of rectangle will be: height=1 and width=1.5.

We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.

Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.  

Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.

6 0
2 years ago
What times what equals 29 besides 29 times 1
Feliz [49]
<span>The answer is 1 times 29. Number 29 is a prime number, which means that its multiples are 1 and itself (29). 29 = 29 * 1. According to the commutative law, in addition and multiplication, numbers can be swapped but the result will remain the same: a+b=b+a or a*b=b*a. Therefore, 29 = 29 * 1 = 1 * 29. In other words, 29 times 1 equals 29 and 1 times 29 equals 29, too.</span>
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Answer:

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The first thing we look at is the exponent

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