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Paraphin [41]
3 years ago
9

Solve the following system of equations. (15 Points) 5x + 10 = -5y & x + y = -2

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

x = -2-y

Step-by-step explanation:

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x= (-3 +- sqrt3)/2

Step-by-step explanation:

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For what value of x does 3^4x=27^x-3? a. –9 b. –3 c. 3 d. 9
Irina18 [472]

\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9

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3 years ago
A study of 25 graduates of 4-year public colleges revealed the mean amount owed by a student in student loans was $55,051. The s
Harman [31]

Answer:

Step 1

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

Step 2

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

5 0
2 years ago
Word Problem 3 Priscilla works 43 hours a week for eight weeks. If she makes $14.73 per hour, how much money did she make in the
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Answer:

$5067,12

Step-by-step explanation:

14,73*43*8

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2 years ago
Constantine picks two letters at random from the word constantinople with replacement. what is the probability that both letters
dedylja [7]
Constantinople  has a total of 14 letters of which 9 are consonants

P(picking a consonant) = 9/14

P(2 letters are consonants with replacement) = 9/14 * 9/14 = 81/196
3 0
3 years ago
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