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Vika [28.1K]
1 year ago
9

Amanda has 26 nickels and dimes in her piggy bank. the number of nickels is two fewer than three times the number of dimes. how

much money does she have in her piggy bank
Mathematics
1 answer:
vitfil [10]1 year ago
4 0
<span>Amanda has 26 nickels and dimes. We shall call nickels x and dimes y. We can write the following equations: x = 3y -2 or -x +3y = 2 x + y = 26 We can cancel out the x to give 4y = 28 or y = 7 If there are 26 coins in total and 7 of them are dimes then there must be 19 nickels. The number of nickels (19) is two fewer than three times the number of dimes ( 3(7) - 2 = 19).</span>
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A news organization previously stated that three of four people believed that the state of the economy was the country's most si
gizmo_the_mogwai [7]

Answer:

Option d)

H_{0}: p = 0.75\\H_A: p \neq 0.75

Step-by-step explanation:

We are given the following in the question:

Three of four people believed that the state of the economy was the country's most significant concern.

They would like to test the new data against this prior belief.

The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.

The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

p =\dfrac{3}{4} = 0.75

We design the null and the alternate hypothesis  

H_{0}: p = 0.75\\H_A: p \neq 0.75

4 0
2 years ago
Please help me!!!!!!!!!!
bezimeni [28]
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4 0
1 year ago
Find the area of a regular polygon
Dimas [21]

Answer:

(N-2)x180=sum of interior angles

So (5-2)x180=540

Divided by number of sides=540/4=108... then each angle is 108 divide to triangles ..so they will have 2 angles =54 2 sides =4 the last angle =72 ."of the triangle " area of triangle =1/2xsxsxsin(side in

between)

So 1/2x4x4xsin(72)= then multiply it by 5 as u will have 5 triangles .. so it will be 190.2(probably i tried)

Step-by-step explanation:

4 0
2 years ago
The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
suter [353]

Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse

a and b are the legs

we have

c=10\sqrt{5}\ units

a=b=x\ units

substitute

(10\sqrt{5})^2=x^2+x^2

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Simplify

x=5\sqrt{10}\ units

5 StartRoot 10 EndRoot

4 0
2 years ago
Read 2 more answers
A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met
belka [17]

Answer:

808

Step-by-step explanation:

The volume of the initial cylindrical metal must be equal to the total volume of the cubes.

Let the number of cubes made be x. Therefore:

V_C = V_c * x

where V_C = volume of the cylinder

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Each of the cubes have sides of length 3 cm.

The volume of a cube is given as:

V_c = L^3

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Therefore, the volume of each cube is:

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The volume of a cylinder is given as:

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The volume of the cylinder is:

V_C = \pi * 10.5^2 * 63 = 21823.55 cm^3

Therefore:

21823.55 = 27 * x

=> x = 21823.55 / 27

x = 808.27

Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.

8 0
2 years ago
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