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3 years ago

Someone please help with this

Mathematics

1 answer:

dlinn [17]3 years ago

8 0

As these triangle has two proportional sides lengths (20/5 = 4 = 12/3), and this pair of sides confines two congruent angles (<P = <S), so these two triangles are similar...

and the postulate for this is: Side-Angle-Side (SAS)

choice: D

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Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to th

scoundrel [369]

Answer:

The answer is "158.489"

Step-by-step explanation:

for san francisco earthquake:

$\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)$

similarly , for coloumbia earthquake:

$\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)$

divide equation (i) and (ii):

$\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489$

3 0

3 years ago

Anas wants to build a one-sample z interval with 85% confidence to estimate what proportion of users will click an advertisement

klasskru [66]

Answer:

See below

Step-by-step explanation:

Check One Sample Z-Interval Conditions

Simple Random Sample? √

np≥10? √

n(1-p)≥10? √

One-Sample Z-Interval Information

Formula --> $CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)$
Sample Proportion --> $\hat{p}=\frac{54}{250}=0.216$
Critical Value --> $z^*=1.4395$ (for a 85% confidence level)
Sample Size --> $n=250$
Margin of Error (MOE) --> $\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

Problem 1

As stated previously, Anas should use the critical value $z^*=1.4395$ to construct the 85% confidence interval

Problem 2

Given our formula for the margin of error (MOE), the value is $MOE=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\sqrt{\frac{0.216(1-0.216)}{250}}\approx0.026$

Problem 3

The 85% confidence interval would be $CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)=CI=0.216\pm 1.4395(0.026)\appro=\{0.1786,0.2534\}$ , which means that we are 85% confident that the true proportion of people that clicked on the advertisement is between 0.1786 (~45 people) and 0.2534 (~63 people)

Problem 4

Increasing the sample size to $n=500$ is going to decrease the margin of error because it is a closer representation of the population, but, alas, requires more time, energy, and resources to observe.

8 0

2 years ago

Anyone Wanna help thanks

Oksi-84 [34.3K]

Answer:

1. 8

2. 4

3a. -6 and -4

3b. -1/2 and -5

Step-by-step explanation:

3a explanation:

Factor x^2+10x+24

(x+4)(x+6)

Set the factors equal to 0

x + 4 = 0

x + 6 = 0

-4 and -6

3b.

Factor left side of equation.

(2x+1)(x+5)=0

Set factors equal to 0.

2x + 1 = 0 or

x + 5 = 0

x = −1/2

x = -5

-5 and -1/2

6 0

3 years ago

Given the function f(x) = 5x^2 - x + 20, find f(3) A) -20 B)-13 C) 62 D) 64

Viktor [21]

<h3>Answer: 62 (choice C)</h3>

Work Shown:

f(x) = 5x^2 - x + 20

f(3) = 5(3)^2 - 3 + 20

f(3) = 5(9) - 3 + 20

f(3) = 45 - 3 + 20

f(3) = 42 + 20

f(3) = 62

4 0

2 years ago

Read 2 more answers

Please help me solve this

Pie

Its 70% because 7/10 is .7

3 0

3 years ago