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3 years ago

X3+2x=110

1 answer:

7 0

$x^3+2x=110 \\ \\ test:4.5 \\ (4.5)^3+2(4.5)=110 \\ 91.125+9=110 \\ 100.125=110 \\ false \\ \\ test:4.75 \\ (4.75)^3+2(4.75)=110 \\ 107.17+9.5=110 \\ 116.67=110 \\ false \\ \\ test:4.6 \\ (4.6)^3+2(4.6)=110 \\ 97.33+9.2=110 \\ 106.53=110 \\ false \\ \\ test:4.65 \\ (4.65)^3+2(4.65)=110 \\ 100.7+9.3=110 \\ 110=110 \\ true \\ \\ solution:4.65$

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3 years ago

Which graph shows the solution set of the compound inequality 1.5x-1>6.5 or 7x+3<-25

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For this case we have the following inequations:
1.5x-1> 6.5
7x + 3 <-25
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1.5x> 6.5 + 1
1.5x> 7.5
x> 7.5 / 1.5
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7x <-25-3
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x <-28/7
x <-4
The solution set is:
(inf, -4) U (5, inf)
Answer:
See attached image

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3 years ago

State legislators propose cutting funding to public universities. College administrators oppose this, claiming that across the s

zimovet [89]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of sample 1

x2 = sample mean of sample 2

s1 = sample standard deviation for sample 1

s2 = sample standard deviation for sample 2

n1 = number of samples in sample 1

n2 = number of samples in sample 2

From the information given,

x1 = 934.1

s1 = 120.52

x2 = 1302.2

s2 = 178.6

For a 98% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (10 - 1) + (10 - 1) = 18

z = 2.552

x1 - x2 = 934.1 - 1302.2 = -368.1

√(s1²/n1 + s2²/n2) = √(120.52²/10 + 178.6²/10) = √(1452.50704 + 3189.796)

= 68.13

Margin of error = 2.552 × 68.13 = 173.87

Therefore, confidence interval =

-368.1 ± 173.87

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4 years ago