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Slav-nsk [51]
3 years ago
12

Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0
<span>The location with the greatest amount of rainfall is Waialeale, Hawai'i, with 11.4 meters. The location with the least amount of rainfall is Death Valley, California, with 57 millimeters. The ratio between these respective rainfalls is 200 mm to 1 mm.</span>
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Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two​ bakeries' specialty pi
DIA [1.3K]

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (<u>49</u>) < μ₁ - μ₂ < (<u>289)</u>

Step-by-step explanation:

The given data are;

Bakery A

\overline x_1<em> </em>= 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

\overline x_2<em> </em>= 1,711 cal

s₂ = 192 cal

n₂ = 10

\left (\bar{x}_1-\bar{x}_{2}  \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2}  \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, t_c = 1.706

\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}

\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469

\hat \sigma ≈ 178

Therefore, we get;

\left (1,880-1,711  \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711  \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}

Which gives;

169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

4 0
3 years ago
18. The bottom of a flower pot has a radius of 12 cm. What is the circumference of the bottom of the flower pot?
Darina [25.2K]

Answer:

452.4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A square garden has trees 30m,50m and 40m at three successive corners.What is the area of the land ?​
Masteriza [31]

15m because if we add all of the you will get 12 but atleast you need some for backyard

8 0
2 years ago
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Jackie wants to take out an ad in the newspaper for her upcoming garage sale. She can buy a 4-line ad for $4.35 that will run fo
sergij07 [2.7K]

Answer:

She can advertise for 10 days

Step-by-step explanation:

Here, we want to know for how long can Jackie advertise if she decides to buy a 4-line ad which will run for three days.

The total money she has or she wants to spend is $15.

Now if $4.35 will run for 3 days

then $15 will run for x days

4.35 * x = 15 * 3

4.35x = 45

x = 45/4.35

x = 10.34 which is approximately 10 to the nearest whole number

5 0
3 years ago
A rectangle has dimensions 9 1/4 in. by 15 in. A diagonal of the rectangle forms two matching right triangles. What is the area
castortr0y [4]

Answer:

Area of one of the triangles = 69.375 in² (Approx)

Step-by-step explanation:

Given:

One side of rectangle = 9.25 in

Other side of rectangle =  15 in

Diagonal create two equal right triangle.

Find:

Area of one of the triangles = ?

Computation:

⇒ Area of one of the triangles = 1/2 [One side of rectangle × Other side of rectangle]

⇒ Area of one of the triangles = 1/2 [9.25 × 15]

⇒ Area of one of the triangles = 1/2 [138.75]

⇒ Area of one of the triangles = 69.375 in² (Approx)

7 0
2 years ago
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