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3 years ago

Between which two consecutive integers is the negative square root of 5

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer: Between the numbers -2 and -3

Step-by-step explanation:

The negative square root of 5 will be slightly greater than 2 because the square root of 4 is 2 and 5 is greater than 2. The negative square root of 5 will not be greater than -3 because 3 squared is 9. So it has to be between -2 and -3.

Stolb23 [73]3 years ago

4 0

Answer:

-2 and -3

Step-by-step explanation:

So in a simple way we can look at it as what is square root of positive 5.

This is between 2 and 3 but since we are looking for Negative 3, our answer is between -2 and -3

Hope this helps!

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You want to fence in a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing f

tangare [24]

Answer:

East and west side= 5 foot

South and north side = 10 foot

Area = 50 foot^2

Step-by-step explanation:

We know that:

East and west fencing cost= $4 per foot

South and north fencing cost $2 per foot

So, we can consider:

x= south and north fencing

y= east and west fencing

Then we create an equation representing the case:

Total cost = (south+north)*$2 + (east+west)*$4

80 =(x+x)*2 + (y+y)*4

80 =(2x)*2 + (2y)*4

80 =4x + 8y

80 =4*(x+2y)

80/4 =x+2y

20 = x+2y

x= 20-2y

We can calculate the area as width * length:

Area = length * width

Area= x * y

Area= (20 - 2y) * y

area= 20y - 2y^2

Next step is to find the "y" value for the maximum area so you can derivate and equal to 0 to find maximums:

d(20y - 2y^2)/dy = 20 - 2*2y = 20 - 4y

20 - 4y = 0

20 = 4y

y = 20/4

y = 5

If y = 5, then:

x = 20 - 2y

x = 20 - 2*5

x = 20 - 10

x = 10

7 0

4 years ago

Find the measure for m(angle)S. (this is inscribed angles, intercepted arcs)

Sergeu [11.5K]

Let's call the center C. If we draw CT we have an isosceles triangle, two radii for sides, so angle S= angle T. The angle SCT=48 degrees; that's what the arc measure means. So the other two satisfy

S + T + 48 = 180

2S = 132

S = 66

Answer: 66 degress

4 0

3 years ago

The probability that a

Alisiya [41]

78 % for the free throw the all w

6 0

3 years ago

Read 2 more answers

Three fractions equivalent to 24/32

babunello [35]

Answer:

12/16, 48/64, 72/96

Step-by-step explanation:

Multiply or divide the numerator and denominator by the same number.

6 0

3 years ago

A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was record

makkiz [27]

Answer:

$E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49$

$Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899$

$Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943$

Step-by-step explanation:

For this case we have the following data given:

X 1 2 3 4 5

F 74 10 11 3 2

The total number of values are 100, so then we can find the empirical probability dividing the frequency by 100 and we got the followin distribution:

X 1 2 3 4 5

P(X) 0.74 0.10 0.11 0.03 0.02

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Solution to the problem

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49$

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=1^2 *0.74 +2^2 *0.1 +3^2 *0.11 +4^2 0.03 +5^2 *0.02=3.11$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943$

7 0

3 years ago