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3 years ago

On a map, two locations are 0.75 centimeter apart. Their actual distance is 15 kilometers apart.

1 answer:

6 0

If you are working out the number of KM per CM them you divide the KM by the CM:
15/0.75 = 20

This means that it is 20KM per every 1CM

Hope this helps! :)

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Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe

Vedmedyk [2.9K]

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

$H_0: \mu=25\\\\H_a:\mu>25$

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

$df=n-1=354-1=353$

The t-statistic is:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84$

For a right tailed test and 353 degrees of freedom, the P-value is:

$P-value=P(t>2.84)=0.0024$

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

7 0

2 years ago

1 minus 1/2 minus 1/3 minus 1/4

serg [7]

1 - 1/2 - 1/3 - 1/4 =

12 - 6 - 4 -3 =

_______________

= -1/12 (-0.08333...)

8 0

3 years ago

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t

klemol [59]

Answer:

The conclusion about p using an absolute value inequality is

$0.325 < p < 0.375$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.35$

The margin of error is $E = 0.025$

The confidence interval is mathematically represented as

$\r p -E < p < \r p +E$

=> $0.35 - 0.025 < p < 0.35 + 0.025$

=> $0.325 < p < 0.375$

7 0

2 years ago

The diagonals of a rectangle ABCD meet at O if AO=(2x+3)cm and DO=(5x)cm find the length of its diagonals also find the perimete

vfiekz [6]

Step-by-step explanation:

AO = DO

2x+3 = 5x

3 = 5x-2x

3 = 3x

x = 1

DO = 5(1)=5cm

AC = 2×5 = 10cm

BC =√10²-8²

= √100-64

=√36

=6 cm

therefore, the perimeter of the rectangle

= 2×(8+6) = 2(14) = 28 cm

3 0

2 years ago

Mr. Birdie has worked hard as a Math teacher all his

Nikitich [7]

Answer:

You'll likely need assets worth 10 to 16 times your salary by the time you leave your job. A 45-year-old making $120,000 who hopes to retire at age 60, say, should already have nearly $700,000 set aside. (See the Retire Early calculator.) You can get by with less if you'll have other sources of income.

6 0

3 years ago