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3 years ago

HELP I NEED HELP ASAP

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Sarah's house is not shown in graph

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A map is drawn to a scale of 1 : 20 000.

Nesterboy [21]

Answer:

0.625 cm²

Step-by-step explanation:

Scale factor:

k = 1/20000

When applied to the area consider k² as a scale factor.

The actual area:

2.5 hectares = 25000 m² = 25000*100² cm² = 250000000 cm²

The area on the map:

250000000 * (1/20000)² = 0.625 cm²

6 0

3 years ago

The US Department of Energy reported that 48% of homes were heated by natural gas. A random sample of 333 homes in Oregon found

solmaris [256]

Answer:

Option B) Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 333

p = 48% = 0.48

Alpha, α = 0.01

Number of women belonging to union , x = 149

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.48\\H_A: p \neq 0.48$

This is a two-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{149}{333} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.48}{\sqrt{\frac{0.48(1-0.48)}{333}}} = -1.096$

Now, we calculate the p-value from the table.

P-value = 0.273079

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that proportion of homes in Oregon that were heated by natural gas is different from what was reported.

B. Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.

7 0

3 years ago

0.6 or 0.06 which is greater 0.006 or 0.6 which is greater

balu736 [363]

Answer:

.6 is greater than .06

.6 is greater than .006

Step-by-step explanation:

Think of it this way....

.6 is like 60 cents of one dollar, whereas .06 is 6 cents of a dollar.

...and so you can now see that .006 would be A LOT less than 6 cents.

6 0