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VikaD [51]
3 years ago
7

Which of the following are solutions to the equations below? x^2+x-20=0

Mathematics
2 answers:
Sveta_85 [38]3 years ago
5 0

Answer:

x=4  x=-5

Step-by-step explanation:

x^2+x-20=0

Factor

What 2 numbers multiply to -20 and add to 1

-4*5 =-20 and

-4+5 =1

(x-4) (x+5) =0

Using the zero product property

x-4 =0  x+5=0

x=4  x=-5

irinina [24]3 years ago
4 0

Answer:My answer would be

x=4,-5

tell me if I am wrong


Step-by-step explanation:


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Employees from Company A and Company B both receive annual bonuses. What information would you need to test the claim that the d
Natalija [7]

Answer:

Step-by-step explanation:

This is a test of the mean difference between 2 independent groups or populations.

Let μ1 be the mean annual bonus of Company A's employees and μ2 be the mean annual bonus of Company B's employees.

The random variable is μ1 - μ2 = difference in the mean annual bonus of Company A's employees and the mean annual bonus of Company B's employees

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≤ μ2 H0 : μ1 - μ2 ≤ 100

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 100

This is a right tailed test because of the inequality sign at the alternative hypothesis. We need to take samples of annual bonuses from both company's employees and find the averages. Then we would determine the test statistic as well as the p value. We would use the p value with the level of significance to make decisions

5 0
2 years ago
An interior automotive supplier places several electrical wires in a harness.Apull test measures the force required to pull spli
oksano4ka [1.4K]

Answer:

a) For this case we can use the following R code to construct the qq plot

> data<-c(28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4)

# The above line is in order to store the data in a vector

> qqnorm(data, pch = 1, frame = FALSE)

# The line above is in order to calculate the quantiles from the data assumin Normal distribution

> qqline(data, col = "steelblue", lwd = 2)

# The line above is in order to put a line for the theoretical dsitribution

The result is on the figure attached.

b) For this case as we can see on the figure attached the calculated quantiles are not far from the theorical quantiles given byt the straaigth blue line so then we can conclude that the distribution seems to be normal.

Step-by-step explanation:

For this case we have the following data:

28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4

The quantile-quantile or q-q plot is a graphical procedure in order to check the validity of a distributional assumption for a data set. We just need to calculate "the theoretically expected value for each data point based on the distribution in question".

If the values are asusted to the assumed distribution, we will see that "the points on the q-q plot will fall approximately on a straight line"

For this case our distribution assumed is normal.

Part a

For this case we can use the following R code to construct the qq plot

> data<-c(28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4)

# The above line is in order to store the data in a vector

> qqnorm(data, pch = 1, frame = FALSE)

# The line above is in order to calculate the quantiles from the data assuming Normal distribution (0,1)

> qqline(data, col = "steelblue", lwd = 2)

# The line above is in order to put a line for the theoretical distribution

The result is on the figure attached.

Part b

For this case as we can see on the figure attached the calculated quantiles are not far from the theorical quantiles given byt the straaigth blue line so then we can conclude that the distribution seems to be normal.

4 0
3 years ago
Chloe ate 10 grapes and 5 crackers. Layla ate 5 grapes and 10 crakers. Who ate more food items? Write a number sentence. Then id
a_sh-v [17]
10+5=5+10
They both ate the same amount of food. 
Commutative Property of Addition is used. 
8 0
3 years ago
Is the following relation a function?
mel-nik [20]

Answer:

no

Step-by-step explanation:

the x value (-1) repeats therefore it ain't a function

6 0
2 years ago
Read 2 more answers
If angle 1 is 110°, what would the other angle measures
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Answer:

If Angle 1 is 110,

then the second angle to complete the straight angle (180 degrees) is...

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Angle 2 = 110 (same as Angle 1, plus it's obtuse)

Angle 3 = 70 (it's acute)

Angle 4 = 70 (same as Angle3, plus it's acute)

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2 years ago
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