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3 years ago

3.151 rounded to the nearest hundreth

Mathematics

2 answers:

Tresset [83]3 years ago

8 0

The nearest hundredth would be 3.15 because 1 rounded is 0.

Anna [14]3 years ago

7 0

I think it would be 3.15

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True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.

Elenna [48]

Answer:

True

Step-by-step explanation:

Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.

5 0

2 years ago

Paul wants a bike that cost $400. If he had saved 60% of this amount, how much had he saved.

enyata [817]

Hey!

To solve this problem, we'll first start by creating an equation.

Our Created Equation :

$\frac{400 x 60}{100}$

Now we'll solve it step by step to find the answer.

So we should begin by multiplying the to portion of our fraction.

400 x 60 = 24,000

Next, we divide our answer by 100, since that is the next step to our equation.

24,000 ÷ 100 = 240

So, our answer is...

Paul has already saved $240.00 of the $400.00 he must pay for a new bike.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

Determine the formula for the nth term of the sequence: -2,1,7,25,79,...

rodikova [14]

A plausible guess might be that the sequence is formed by a degree-4* polynomial,

$x_n = a n^4 + b n^3 + c n^2 + d n + e$

From the given known values of the sequence, we have

$\begin{cases}a+b+c+d+e = -2 \\ 16 a + 8 b + 4 c + 2 d + e = 1 \\ 81 a + 27 b + 9 c + 3 d + e = 7 \\ 256 a + 64 b + 16 c + 4 d + e = 25 \\ 625 a + 125 b + 25 c + 5 d + e = 79\end{cases}$

Solving the system yields coefficients

$a=\dfrac58, b=-\dfrac{19}4, c=\dfrac{115}8, d = -\dfrac{65}4, e=4$

so that the n-th term in the sequence might be

$\displaystyle x_n = \boxed{\frac{5 n^4}{8}-\frac{19 n^3}{4}+\frac{115 n^2}{8}-\frac{65 n}{4}+4}$

Then the next few terms in the sequence could very well be

$\{-2, 1, 7, 25, 79, 208, 466, 922, 1660, 2779, \ldots\}$

It would be much easier to confirm this had the given sequence provided just one more term...

* Why degree-4? This rests on the assumption that the higher-order forward differences of $\{x_n\}$ eventually form a constant sequence. But we only have enough information to find one term in the sequence of 4th-order differences. Denote the k-th-order forward differences of $\{x_n\}$ by $\Delta^{k}\{x_n\}$ . Then

• 1st-order differences:

$\Delta\{x_n\} = \{1-(-2), 7-1, 25-7, 79-25,\ldots\} = \{3,6,18,54,\ldots\}$

• 2nd-order differences:

$\Delta^2\{x_n\} = \{6-3,18-6,54-18,\ldots\} = \{3,12,36,\ldots\}$

• 3rd-order differences:

$\Delta^3\{x_n\} = \{12-3, 36-12,\ldots\} = \{9,24,\ldots\}$

• 4th-order differences:

$\Delta^4\{x_n\} = \{24-9,\ldots\} = \{15,\ldots\}$

From here I made the assumption that $\Delta^4\{x_n\}$ is the constant sequence {15, 15, 15, …}. This implies $\Delta^3\{x_n\}$ forms an arithmetic/linear sequence, which implies $\Delta^2\{x_n\}$ forms a quadratic sequence, and so on up $\{x_n\}$ forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.

5 0

2 years ago

Pls help anyone. im no good at math im starting to cry ):

harkovskaia [24]

Answer:

Step-by-step explanation:

1. (A) 96:38, 38:96, 96/38

(B) The two ratios are the same as they represent the same thing just reversed

2(A) 38:46

(B) The simplest form means that you must simplify it and you get 19: 23

3 (A) For every 1 documentary movie there is 2 comedy movie

(B)For every3 kid movie, there is 4 horror movie

hope that helps, sorry for the simplified answers as I am in a bit of a rush too

7 0

2 years ago

8 x ÷ 4 = 100 What is the value of x in the equation?

Gnesinka [82]

Answer:

Hi there. I had put a comment replying to your question as I didn't see any place that I could answer. If you still need it, then the answer was

C. 50

Step-by-step explanation:

8 * 50 = 400

400 / 4 = 100

In any way possible, I hope this helps you! Have a great day!

8 0

2 years ago