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3 years ago

Match each quadratic equation with its roots. Tiles a2-a+11+0

1 answer:

7 0

To solve this problem you must aply the proccedure shown below:

You have the following quadratic equation: a^2-a+11=0 and to solve it you must apply the quadratic formula x=-b√(b^2-4ac)/2a

a=1
b=-1
c=11

The result is

a1=(1-i√43)/2
a2=(1+i√43)/2

The answer is:a1=(1-i√43)/2 and a2=(1+i√43)/2

You might be interested in

3. solve (-7) + b = (-11)

sveta [45]

B= -4 hope this helps!!!

3 0

3 years ago

A consumer believes that a certain potato chip maker is putting fewer chips in their regular bags of chips than the advertised a

dybincka [34]

Answer:

a) No

b) No

c) P value is more than 0.05.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 12 ounces

Sample size, n = 49

P-value = 0.136

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 12\text{ ounces}\\H_A: \mu < 12\text{ ounces}$

We use One-tailed z test to perform this hypothesis.

a) Alpha, α = 0.05

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

b) Alpha, α = 0.10

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.

3 0

3 years ago

10-^4 in standard form

Harrizon [31]

Question: 10^-4 in standard form

Work:

To write 10^-4 in standard form you just simplify the equation.

10^-4 equals 1/10000 or 0.0001

Final Answer:

10^-4 equals 1/10000 or 0.0001

6 0

3 years ago

Mrs. Lazo bought 9 1/8m. Of curtain cloth. She use 3 5/6m to make a curtain for their bedroom how many meters of cloth were not

sergeinik [125]

Answer:

5 7/24

Step-by-step explanation:

First, you need to make the denominators the same. When you multiply 6 with 4 you get 24, and if you multiply 8 with 3 you get 24. Then you have to multiply the numbers you multiplied with the denominators with the numerator. So, 5 x 4 is 20 and 3 x 1 is 3. Once you put all the numbers together it should look like this: 3 20/24 and 9 3/24. In order to find the answer, you have to subtract the numbers from each other. Which would look like this: 9 3/24 - 3 20/24. But as you can see you can't subtract 3 from 20. So you have to carry the 9. This means you have to subtract 9 from 1, and then you have 27 for the numerator, this then makes it possible to subtract from 20. So then the fractions subtracted from each other is 7 and the whole numbers subtracted from each other is 5 (because the 9 is now 8 since we subtracted one from it). Whole numbers subtracted from each other: 5. Fractions subtracted from each other: 7/24. Add it together you get 5 7/24.

Numerator - the number above the fraction, ex 3 in 3/4

Denominator - the number below the fraction, ex 4 in 3/4

5 0

3 years ago

Yasir designs bracelets. He uses between 9 and 15 red and yellow beads in a ratio of 2 red beads to 5 yellow beads. Drag the bea

Paraphin [41]

You should place 4 red beads and 10 yellow beads into the container. This satisfies both, the ratio and the amount of beads in each container

6 0

3 years ago