Find the length of the side labeled x. Please help

Help ME! I’m literly struggling

miv72 [106K]

Answer:

See explanation below

Step-by-step explanation:

BD - diagonal Added Construction

m∠CBD = m∠ADB Alternate Interior Angles Theorem

BD ≅ DB Reflexive Property

m∠A = m∠C Opposite ∠'s Congruent Theorem

ΔABD ≅ ΔCDB AAS or SAS

BC ≅ DA CPCTC

AC - diagonal Added Construction

m∠BCA = m∠CAD Alternate Interior Angles Theorem

AC ≅ CA Reflexive Property

m∠B = m∠D Opposite ∠'s Congruent Theorem

ΔABC ≅ ΔCDA AAS or SAS

AB ≅ CD CPCTC

6 0

3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

José put $1,500 into a savings account. He earns 3% interest every year. How much simple interest will he earn at the end of 3 y

stiv31 [10]

He would have a total of: $1639.09

In intrest alone he would've made 1639.09

Step-by-step explanation:

3%= 0.03

The first thing you do is multiply $1,500 by the %3 (0.03).

When your done multiplying, you should get 45.

Add 45 to 1500

Now you have 1545

Then you repeat the process over, two more times. However the numbers will change.

7 0

3 years ago

Lim t^4 - 6 / 2t^2 - 3t + 7

Harman [31]

I think you meant to say

$\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}$

(as opposed to x approaching 2)

Since both the numerator and denominator are continuous at t = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

$\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}$

Because these expressions are continuous at t = 2, we can compute the limits by evaluating the limands directly at 2:

$\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}$

6 0

3 years ago

Division 54 /7.5 plz answer this

harkovskaia [24]

Answer:

turn the decimal into a whole number by multiplying by 10, 100 (what you do to one number you must do to the other)

multiply both by 10 it then becomes

540/75 = 7.2

it's easier to divide whole numbers and is the same answer as 54/7.5

6 0

3 years ago