Determine which function has a greater initial value and explain how you know.

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

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You flip a coin three times.What is. the probability of getting at least 1 head? A.1/8

astra-53 [7]

The answer is B 3/8

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4 years ago

The square of the sum of two consecutive natural numbers is greater than the sum of the squares of these two numbers by 112. fin

Verdich [7]

We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>

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3 years ago

There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow. You plan to draw 2 marbles from the bag with

schepotkina [342]

<h2>Probability that the second marble will be blue is 0.44</h2>

Step-by-step explanation:

There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow.

Total number of marbles = 10

Given that first marble is yellow.

New total number of marbles = 10 - 1 = 9

Now we have 3 are red, 4 are blue, 2 are green.

Number of blue marbles = 4

We need to find drawing probability of blue marble from 9 marbles.

Let the probability be, p

$p=\frac{\texttt{Total blue marbles}}{\texttt{Total number of marbles}}\\\\p=\frac{4}{9}\\\\p=0.44$

Probability that the second marble will be blue is 0.44

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3 years ago

Helena lost her marbles. But then she found them and put them in 4 bags with m marbles in each bag. She had 3 marbles left over

madreJ [45]

She had 4m marbles in the 4 bags

So number of marbles that Helena has = 4m + 3.

6 0

4 years ago

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Find the lateral area for the prism. L.A. =<br> Find the total area for the prism. T.A. =

Ksivusya [100]

The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0

4 years ago

Read 2 more answers