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3 years ago

Between which two consecutive integers does the negative square root of 20 lie

1 answer:

4 0

You could do the negative square root of 16 and the negative square root of 25 to get -4 and -5. So this means the answer is negative square root of 20 is in between -4 and -5

You might be interested in

?/6 < 1/2 which one is it

Alekssandra [29.7K]

Answer:

1/6<1/2

Step-by-step explanation:

1/2 is .5 while 1/6 is .166 repeating

4 0

3 years ago

Read 2 more answers

What is a polynomial with a single root at x = -1 and a double root at x = 6?

Kazeer [188]

In article <[email protected]>,
[email protected] (Hauke Reddmann) wrote:

> Let a*x**3+b*x**2+c*x+d=0 have a double and a single root.
> What's the value of the single root?

2 3
d (-9 d a + 4 d b c - c )
----------------------------------
2 2 2 2 4
6 d c a + 4 d b - 5 b c d + c

or any other expression equivalent under 

2 2 3 2 2 3
(27 d a + 4 b d - 18 c a d b - b c + 4 c a) = 0

which is the discriminant condition for the double root to occur (a being
nonzero assumed).

Maple verification:

> f:=a*x^3+b*x^2+c*x+d;
3 2
f := a x + b x + c x + d

> dis:=factor(resultant(f,diff(f,x),x));
2 2 3 2 2 3
dis := a (27 d a + 4 b d - 18 c a d b - b c + 4 c a)

>
factor(subs(x=d*(-9*d^2*a+4*d*b*c-c^3)/(6*d^2*c*a+4*d^2*b^2-5*b*c^2*d+c^4),f));

3 4 2 3 2 3 3 3 2 2 2 4
d (-27 d a + 36 d a b c - 9 d a c + 16 d b - 24 d b c + 9 d b c

6 2 2 3 2 2 3 /
- c ) (27 d a + 4 b d - 18 c a d b - b c + 4 c a) /
/

2 2 2 2 4 3
(6 d c a + 4 d b - 5 b c d + c )

> (Bonus points if it's possible to write the answer without
> using fractions, just as polynome(a,b,c,d) )

Impossible, multiplying all a,b,c,d by the same factor lambda should
preserve the solution but cannot preserve a polynomial expression.
--

4 0

3 years ago

ANSWER QUICK!!! What is the slope in the graph? * undefined m = 1 m = 0 m=-1

Tanzania [10]

Answer:

m=1

Step-by-step explanation:

tttttttttttttt tttt

3 0

4 years ago

Read 2 more answers

How many square feet of outdoor carpet will we need for this hole?

SVETLANKA909090 [29]

For this you would want to break this fgure up with familar shapes. You can do two triangles and one big rectangle.

First triangle:

(3)(2)(1/2)= 3 feet squared

Second Triangle:

(3)(4)(1/2)= 6 feet squared

Rectangle:

(11)(3)= 33 feet squared

Now you add:

33+3+6= 42 feet squared

So, for this hole you will need 42 feet squared of outdoor carpet

8 0

4 years ago

Read 2 more answers

We are told that the price of basket of fries is drawn from a normal distribution with mean 6 and standard deviation of 2. You w

Masja [62]

Answer:

32.64% probability that you would have enough money to pay for all five baskets of fries

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 6, \sigma = 2, n = 5, s = \frac{2}{\sqrt{5}} = 0.8944$

You want to get 5 baskets of fries but you only have $28 in your pocket. What is the probability that you would have enough money to pay for all five baskets of fries?

28/5 = 5.6

So this is the pvalue of Z when X = 5.6.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{5.6 - 6}{0.8944}$

$Z = -0.45$

$Z = -0.45$ has a pvalue of 0.3264

32.64% probability that you would have enough money to pay for all five baskets of fries

5 0

3 years ago