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Setler [38]
3 years ago
15

Select the two binomials that are factors of this trinomial.

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer:

(x-5)(x+4)

Step-by-step explanation:

hope it helps

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The sum of two numbers is 12 The sum of the squares of the two numbers is 80. What are the two numbers?
defon

Answer:

4 and 8

Step-by-step explanation:

The square of 4 is 16 and the square of 8 is 64.

16 + 64 = 80

4 0
3 years ago
Can you form a triangle with these given side lengths? 12 , 8 , 16<br><br> Please help me!!!!
Scilla [17]

Answer:

yes

Step-by-step explanation:

12+8>16

the two short sides have to be greater than the longest dude when combined and that is true so you can form a triangle

6 0
3 years ago
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Imagine that you have the opportunity to purchase a large piece of land for $100,000, after taking out a loan. You have decided
MakcuM [25]

what is this

Step-by-step explanation:

Option #1 – charges 5% simple interest per year; this is a short-term loan for only 5-years.

Option #2 – charges 7% simple interest per year; this is a short-term loan for only 3-years.

Option #3 – charges 3.2% simple interest per year; there is no time limit on this loan (as a group determine how long you think it will take you to make enough money to be able to pay back the loan with interest)

Option #4 - charges 10% simple interest per year; only lasts 10 months

Option what is this

3 0
2 years ago
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g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he
stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the​ president's height minus their main​ opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

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3 years ago
Hazel has band practice every other day and volunteers every seven days. if she had a band practice and volunteered on oct 23, w
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