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1 year ago

13

The diameter of the base of a water bottle is 3 1/2 inches. What is the length on inches of the diameter of 6 of these water bot

tles?

1 answer:

olga_2 [115]1 year ago

3 0

Answer:

21

Step-by-step explanation:

3.5 x 6 = ?

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A random sample of 300 Americans planning long summer vacations in 2009 revealed an average planned expenditure of $1,076. The e

Rufina [12.5K]

Answer:

$(1024.69,\ 1127.31)$

Step-by-step explanation:

We know that the sample size was:

$n = 300$

The average was:

${\displaystyle {\overline {x}}}=1,076$

The standard deviation was:

$\s = 345$

The confidence level is

$1-\alpha = 0.99$

$\alpha=1-0.99\\\alpha=0.01$

The confidence interval for the mean is:

${\displaystyle{\overline {x}}} \± Z_{\frac{\alpha}{2}}*\frac{s}{\sqrt{n}}$

Looking at the normal table we have to

$Z_{\frac{\alpha}{2}}=Z_{\frac{0.01}{2}}=Z_{0.005}=2.576$

Therefore the confidence interval for the mean is:

$1,076\± 2.576*\frac{345}{\sqrt{300}}$

$1,076\± 51.31$

$(1024.69,\ 1127.31)$

This means that <em>the mean planned spending of all Americans who take long summer vacations in 2009 is between $ 1024.69 and $ 1127.31</em>

3 0

3 years ago

Find the value of x.

inysia [295]

The value of x from the given circle is 4

<h3>What is intersecting chord theorem?</h3>

The intersecting chords theorem is a statement in geometry that describes a relation of the four line segments created by two intersecting chords within a circle.

It states that the products of the lengths of the line segments on each chord are equal.

According to the theorem;

x * 3 = 2 * (4 + 2)

3x = 2(6)

3x = 12

Divide both sides by 3

3x/3 = 12/3

x =4

Hence the value of x from the given circle is 4

Learn more on intersecting chord theorem here; brainly.com/question/13950364

#SPJ1

5 0

2 years ago

Given g(x)=-x+4g(x)=−x+4, find g(5)g(5) whats the answer?

Bas_tet [7]

Answer:

<em>g(</em><em>x)</em><em> </em><em>=</em><em> </em><em>-4g(</em><em>x)</em><em> </em><em>=</em><em> </em><em>-x+</em><em>4</em>

<em>=</em><em> </em><em>g(</em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>4</em><em>(</em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>(</em><em>5</em><em>)</em><em>+</em><em>4</em>

<em>=</em><em> </em><em>g(</em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em>

5 0

2 years ago

Read 2 more answers

Which of the following represents the difference between ten and a number is the sum of eight and a number"?

Alona [7]

9514 1404 393

Answer:

(c) 10 -N = 8 +N

Step-by-step explanation:

The difference between 10 and a number is (10 -N).

The sum of 8 and a number is (8 +N).

In this context, "is" means "equals," so we have ...

10 -N = 8 +N

7 0

3 years ago

enot [183]

<span>It is possible to have an obtuse triangle that also contains a 35° angle.
Yes, this is true.
That's because an obtuse angle just means it's more than 90 but less than 180 degrees.

</span><span>It is possible to have a right triangle that also contains a 110° angle.
</span>No, this is false.
That's because a right triangle already has 90. That means that the two remaining angles must add up to 90 and not more or less.

<span>It is possible to have an acute triangle that also contains a 70° angle.
Yes, this is true.
An acute triangle means that all of the angles are more than 0 but less than 90.

Hope this helps :)</span>

7 0

3 years ago