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3 years ago

Solve the inequality -x^2-4x+5>0

1 answer:

5 0

−x2−4x+5>0
Let's find the critical points of the inequality.
−x2−4x+5=0
(−x+1)(x+5)=0(Factor left side of equation)
−x+1=0 or x+5=0(Set factors equal to 0)
x=1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−5(Doesn't work in original inequality)
−5<x<1(Works in original inequality)
x>1(Doesn't work in original inequality)
Answer: −5<x<1

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A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per

eduard

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the sample mean (18 hours)

M is the average hours dentists spend per week on fillings (20 hours)

s is the standard deviation (10 hours)

N is the sample size (144)

Putting the numbers, we get:

z(18)= $\frac{18-20}{\frac{10}{\sqrt{144} } }=-2.4$

Using z- table we can find that P(z<z(18)) = 0.0082

4 0

3 years ago

Help,anyone can help me do quetion,I will mark brainlest.

Fudgin [204]

Answer:

c) 25 cm^2

d) 52.5 cm^2

Step-by-step explanation:

5*2 = 1

10/2 = 5

40/2 = 20

20+5 = 25

This is just scratch work^

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3 years ago

Record the letter of each graph with the given characteristic

kupik [55]

Answer:

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Step-by-step explanation:

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4 years ago

What are these? positive negative linear nonlinear

lesya [120]

Answer:

Step-by-step explanation:

The top graph seems to be nonlinear because the way its formed and the bottom linear since its straighter and the plots are closer together.

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3 years ago

Find the simplified form of each expression (2/5n^9)^2 ?

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${( \frac{2}{5 {n}^{9} } ) }^{2} = \frac{ {2}^{2} }{( {5 {n}^{9} )}^{2} } = \frac{4}{ {5}^{2} {n}^{9 \times 2} } = \frac{4}{25 {n}^{18} }$

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4 years ago