What Is The Square Root Of 20?

Oblems

nalin [4]

Answer:

$\overline{BC} \cong \overline{DC}$ because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements, Reason

$\overline{AC}$ bisects ∠BCD, Given

$\overline{DC} \perp \overline{AD}$ Given

∠CDA ≅ ∠CBA Right angles are ≅

$\overline{AC} \cong \overline{AC}$ Reflexive property

ΔACD ≅ ΔACB Hypotenuse Leg (HL) congrurency

$\overline{BC} \cong \overline{DC}$ CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

3 0

3 years ago

a total of 500 tickets were sold for a fundraising concert. Four times as many floor seats were sold than VIP seats. If each flo

Andrej [43]

Answer:total amount that was was collected is $8500

Step-by-step explanation:

Let x represent the total number of floor seats sold.

Let y represent the total number of VIP seats sold.

The total number of tickets sold for the fund raising concert was 500. This means that

x + y = 500

Four times as many floor seats were sold than VIP seats. It means that

x = 4y

Substituting x = 4y into x + y = 500, it becomes

4y + y = 500

5y = 500

y = 500/5 = 100

x = 4y = 4 × 100

x = 400

If each floor seat ticket sold for $10 and each VIP ticket sold for $45, the total money collected would be

10 × 400 + 45 × 100 = 4000 + 4500

= $8500

7 0

4 years ago

A random sample of ten 2011 sports cars is taken and their city mileage is recorded. The results are as follows: 20 21 25 21 21

serious [3.7K]

Answer:

$ME = 1.833 * \frac{4.367}{\sqrt{10}}= 2.531$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=24.8$

The sample deviation calculated $s=4.367$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,9)".And we see that $t_{\alpha/2}=1.833$

And the margin of error would be given by:

$ME = 1.833 * \frac{4.367}{\sqrt{10}}= 2.531$

5 0

4 years ago

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. C

aliya0001 [1]

Answer:

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

6 0

3 years ago

-20 ? I’m a little confused on the “2x” part

Brut [27]

whatever you do to one side, you must do to the other side to keep the equation balanced.

in order to isolate the variable (x), you need to divide by 2. Since you are dividing the right side by 2, then you must divide the left side by 2.

-10÷2 = 2÷2x

-5 = 1x

-5 = x

3 0

3 years ago

What Is The Square Root Of 20?​

What Is The Square Root Of 20?