Find the area of the shaded region. Factor, if possible.

11. When you multiply two decimals less than 1, how does the product compare to the factors?

ANEK [815]

Answer:

The product is usually smaller than the two numbers multiplied

Step-by-step explanation:

When we multiply two decimals less than one, it is a certainty that the result of the multiplication would be less than the two decimals that were multiplied. An example is the multiplication of the decimals below;

0.958 * 0.325

which equals 0.31135

We can see from the example above that the result of the multiplication of the two decimals that are less than one, results in a product that is less than the factors that were multiplied.

5 0

3 years ago

The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s

sladkih [1.3K]

Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.

<h3>What is the volume of a cone?</h3>

The volume of a cone of radius r and height h is given by:

V = 1/3 x r² x h

In this problem, the radius and the height are given as follows:

r = 3.5 cm, h = 7 cm.

Hence the total volume is:

V = 1/3 x 3.5² x 7 = 28.6 cm³

The triathletes sloshed out 1/3 of that, hence:

1/3 x 28.6 = 9.5 cm³.

More can be learned about the volume of a cone at brainly.com/question/14281550

#SPJ1

3 0

2 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

3 years ago

Out of a group of 20 volunteers, 14 people are chosen to participate in a survey about the

AlladinOne [14]

Answer:

A-The 14 people selected to participate

Step-by-step explanation:

8 0

3 years ago

So, in Math I am learning Scientific Notation. Can someone show an example and some tips for me as well as the steps to remember

defon

You know how decimals are really long to write, like 0.00000000089? Well, with scientific notation, you can shorten them. Take the decimal I wrote for instance. Using scientific notation, I can change it to 8.9 * 10^-10. The decimal is shortened, and according to the exponent, 10^-10, we move the decimal place for 8.9 to the left ten places, leaving us with 0.00000000089.

3 0

3 years ago