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3 years ago

Help! How many different ways can you get a total of 100 by adding consecutive numbers?

Mathematics

2 answers:

In-s [12.5K]3 years ago

7 0

Answer:

1 at least

Step-by-step explanation:

1+2=3

14+15=29

49+50=99

50+51=101

40+41=81 9+10=19 81+19=100

the equations bolded are the closest possible ways to get 100 by adding 2 consecutive numbers.

I'll answer as many more as i can find in the comments.

Dafna11 [192]3 years ago

3 0

Answer:

0 ways...

Step-by-step explanation:

First find one pair.

x and x + 1

2x + 1 = 100

2x = 99

x = 49.5

49.5 and 50.5

Since the only way is with decimals, there are 0 ways.

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There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

ValentinkaMS [17]

Hello there.

There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
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3 x 24 = 72.
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3 years ago

Four friends each fipped a coin different numbers of times.

Gelneren [198K]

Answer:

Sarah

Step-by-step explanation:

Alice: 75%

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Sarah: 85%

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2 years ago

3. Which expression is equivalent to 1+2(x-1)

padilas [110]

Answer:

2x - 1

Step-by-step explanation:

Equivalent Algebraic Expressions

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

8 0

2 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

8 0

3 years ago

F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 what isf(x)-g(x)

brilliants [131]

Answer:
f(x) - g(x) = 4x³ + 2x² + 2x

Explanation:
We are given that:
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4

We want to get the value of f(x) - g(x). This means that we will simply subtract g(x) from f(x) as follows:
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - (5x³ - 7x + 4)
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
f(x) - g(x) = 9x³ - 5x³ + 2x² - 5x + 7x + 4 - 4
f(x) - g(x) = 4x³ + 2x² + 2x

Hope this helps :)

4 0

2 years ago