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3 years ago

Solve the inequality

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Answer:

Step-by-step explanation:

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Eddi Din [679]

F(-1) = -6
f(0) = -5
f(1) = -4
f(2) = -3
f(5) = 0
f(8) = 3

7 0

3 years ago

Find the minimum sample size n needed to estimate for the given values of c, , and E. c, , and E Assume that a preliminary s

Cerrena [4.2K]

Answer:

hello your question is incomplete below is the complete question

Find the minimum sample size n needed to estimate μ For the given values of c, σ, and E. c=0.98, σ=6.5, and E=22 Assume that a preliminary sample has at least 30 members.

Answer : 48

Step-by-step explanation:

Given data:

E = 2.2,

std ( σ ) = 6.5

c ( level of confidence ) = 0.98

To find the minimum sample size

we have to first obtain the value of $Z_{a/2}$

note : a can be found using this relation :

( 1 - a ) = 0.98 ----- equation 1

a = 1 - 0.98 = 0.02

hence: a/2 = 0.01

This means that P( Z ≤ z ) = 0.99 the value of z can be found using the table of standard normal distribution. from the table the value of z = 2.33

P( Z ≤ 2.33 ) = 0.99

To obtain the sample size n

$n = (\frac{std*z}{E} )^{2}$

n = $(\frac{6.5*2.33}{2.2} )^2$ = (6.88409)^2

Therefore n ≈ 48

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3 years ago

One leg of a right triangle has a length of 15 m. the other sides have lengths that are consecutive integers. find the number of

Mamont248 [21]

$\text{Let one leg of a right triangle has length of 15 m.}\\
\\
\text{And the other two sides have lengths that are consecutive integers.}\\
\\
\text{let the length of other leg of right triangle is x,}\\
\text{then the length of the hypotenus of the right triangle would be}=x+1\\
\\
\text{Now in the right triangle, using the Pythagorean theorem, we have}\\
\\
\text{(Hypotenus)}^2=(\text{adjacent})^2+(\text{opposite})^2$

$\Rightarrow (x+1)^2=(15)^2+(x)^2\\
\\
\Rightarrow x^2+2x+1=225+x^2\\
\\
\Rightarrow x^2+2x-x^2=225-1\\
\\
\Rightarrow 2x=224\\
\\
\Rightarrow x=\frac{224}{2}\\
\\
\Rightarrow x=112\\
\\ \text{Hence the other leg of right triangle is 112 meters,}\\
\text{and hypotenus is 113 meters.}\\
\\
\text{Therefore, the perimeter of the right triangle}=15+112+113=240 \text{ meters}$

Hence, Perimeter of the right triangle is: 240 meters

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3 years ago

A box resting on a table has a mass of 5 kg.

Blababa [14]

Answer:a) W=49N

b) a=8m/sec suqaure

Step-by-step explanation:

a) F=mg

b) a=F/m

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2 years ago

Pls help will give brainliest and 5star plss help!!!

Liono4ka [1.6K]

Answer:

1.B 2.A 3.B 4.B 5.B 6.A 7.C

Step-by-step explanation:

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3 years ago