Answer:
71701,71702, 71703 etc
Step-by-step explanation:
Given :
×
and 8.17×
Now
×=71700 and
8.17×=817000
There are so many numbers between 71700 and 817000
Like: 71701,71702, 71703 etc
(A) Either of
• rotation 180° about point B
• reflection across point B
(B) If the transformation is rigid, the corresponding sides and angles are congruent.
(C) The sequence of letters tells you the correspondence.
AB ⇔ DB
AC ⇔ DE
BC ⇔ BE
∠A ⇔ ∠D
∠ABC ⇔ ∠DBE
∠C ⇔ ∠E
Answer:
415.63 minutes
Step-by-step explanation:
Growth can be represented by the equation 
. We can find the rate at which it grows by using t=25 minutes and 
or double the amount at that time. The first step we always take is to divide 
by A.
![[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7BA_%7B0%7D%7D%7BA%7D%3De%5E%7Brt%7D%5C%5C2%3De%5E%7Br%2825%29%7D)
To solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know 
so we were able to cancel it out and divide both sides by 25.
We solve with a calculator 
We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.
The equation is 
.
We repeat the step above substituting A=5,000,000, =50, and r=0.02777. Then solve for t.
t=415.63 minutes
Answer:
Slant height = 7.07 ft to nearest hundredth.
Step-by-step explanation:
The slant height = height of one of the triangular sides
Using Pythagoras:
S^2 = 1/2 * 10^2 + 10^2 = 50 ft.
S = √50 = 7.071
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
