Look at image please

Solve for x.<br> <br> 13x + 7 = 5x - 20

myrzilka [38]

The answer is -27/8= -3.375

7 0

2 years ago

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Solve this problem using the substitution method 2y-1/2y=2

stealth61 [152]

Answer:

y=3/2and x =2

Step-by-step explanation:

6 0

3 years ago

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

So

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

So

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$

$\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}$

=> $\sigma = 8340$

Generally the test statistic is mathematically represented as

$t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }$

$t = -1.727$

From the z-table the p-value is

$p-value = P(Z > t) = P(Z > -1.727) = 0.95792$

From the values obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0

3 years ago

The sum of two numbers is 17, and their difference is 29. What are the two numbers?

serious [3.7K]

X + y = 17
x - y = 29

x = 17 - y
x - y = 29

x = 17 - y
17 - y - y = 29

x = 17 - y
17 - 2y = 29

x = 17 - y
- 2y = 29 - 17

x = 17 - y
-2y = 12

x = 17 - y
y = -6

x = 17 - (-6)
y = -6

x = 17 + 6
y = -6

x = 23
y = -6

6 0

2 years ago

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At wet pets, a starter tree aquarium kit cost $15 plus $.60 per fish. At grips and frills, the same kit is $13 plus $.80 per fis

Katena32 [7]

Answer:

The answer to your question is below

Step-by-step explanation:

Write an equation for the cost of fish at each fish store.

a) Wet pets

We must consider the initial price and the cost of each fish.

total cost = C

kit cost = $15

cost of each fish = $0.60

cost of one fish = f

C = 15 + 0.60f

Example, if the number of fish is 4, then the total cost will be

C = 15 + 0.60(4)

C = 15 + 2.4

C = $ 17.4

b) Grips and Frills

total cost = C

kit cost = $13

cost per fish = $0.80

cost of one fish = f

Equation

C = 13 + 0.8f

5 0

3 years ago