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3 years ago

The U.S. Mint produces quarters that weigh about 5.67 grams each. After the

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

The U.S. Mint makes commercial circulation coins including commemorative collection's coins including investor bullion coins.
In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

$\to \bold{|x-5.67|=0.02}\\\\$

heaviest $\bold{=5.69\ g\\\\}$

lighest $\bold{=5.65\ g\\\\}$

Evaluating the each expression:

$\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}$

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Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, th

Dafna11 [192]

Answer:

There is no significant difference in the amount of rain produced when seeding the clouds.

Step-by-step explanation:

Assuming that the amount of rain delivered by thunderheads follows a distribution close to a normal one, we can formulate a hypothesis z-test:

Null Hypothesis

$\bf H_0$ : Average of the amount of rain delivered by thunderheads without seeding the clouds = 300 acrefeet.

Alternative Hypothesis

$\bf H_a$ : Average of the amount of rain delivered by thunderheads by seeding the clouds > 300 acrefeet.

This is a right-tailed test.

Our z-statistic is

$\bf z=\frac{370.4-300}{300.1/\sqrt{30}}=1.2845$

We now compare this value with the z-critical for a 0.05 significance level. This is a value $\bf z^*$ such that the area under the Normal curve to the left of $\bf z^*$ is less than or equal to 0.05

We can find this value with tables, calculators or spreadsheets.

In Excel or OpenOffice Calc use the function

NORMSINV(0.95)

an we obtain a value of

$\bf z^*$ = 1.645

Since 1.2845 is not greater than 1.645 we cannot reject the null, so the conclusion that can be drawn when the significance level is 0.05 is that there is no significant difference in the amount of rain produced when seeding the clouds.

8 0

3 years ago

1. reduce 15/40

IrinaVladis [17]

Answer:

1. 3/8

2.2/3

That’s the answer. I’m positive!!

7 0

3 years ago

1 point What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

abruzzese [7]

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

−

)

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

−

)

(

−

)

Match the values in this circle to those of the standard form. The variable

represents the radius of the circle,

represents the x-offset from the origin, and

represents the y-offset from origin.

The center of the circle is found at

(

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Center:

(

3 0

3 years ago

How do I find the arc length with given radius & central angel?

ella [17]

The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure $\theta$ and the circle has radius $r$ , then the arc has length $\ell$ such that