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Marina86 [1]
3 years ago
13

If a number (blank), then the number is less than its absolute value

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0
If a number is negative, then the number is less than its absolute value. The absolute value of a number is its magnitude regardless of its sign. Therefore, when you get the absolute value of a negative number, you will get its positive corresponding number and when you compare the two, the negative number will always be less than its absolute value.<span> </span>
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1. A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds t
IRINA_888 [86]

Answer:

(1) Sample mean is 1480 hours and population standard deviation is 80 hours

(2) Null hypothesis: The mean lifetime of its fluorescent bulbs is 1500 hours

Alternate hypothesis: The mean lifetime of its fluorescent bulbs is less than 1500 hours

(3) 1.645

(4) D

(5) B

(6) A

Step-by-step explanation:

(1) From the population parameter, the sample mean is 1480 hours and population standard deviation is 80 hours

(2) The null hypothesis is statement deduced from the population parameter which is tested to be true or false

The alternate hypothesis is also a statement from the population parameter that negates the null hypothesis

(3) Using the standard normal distribution table, the critical value of one tailed test with significance level of 0.05 is 1.645

(4) Z = (sample mean - population mean)/(sd/√n)

sample mean = 1480, population mean = 1500, sd = 80, n = 40

Z = (1480 - 1500)/(80/√40) = -20/12.65 = -1.58

(5) The null hypothesis is rejected because the test statistic -1.58 is less than the critical value 1.645

(6) There is not enough evidence to support the claim that the mean lifetime of its fluorescent bulbs is 1500 hours because the null hypothesis is rejected

5 0
3 years ago
Find the slope and y-intercept of the line.
shusha [124]

Answer:

The slope would be the gradient of the line and hence by comparison with the equation form y=mx+c where m is the gradient, the gradient of the line in the question would be 7/4.

The y intercept of the line would be where x=0. When x=0, the y intercept is thus -10.

Hence the answer is the first option

4 0
2 years ago
Read 2 more answers
Cubes and cubes roots <br>27000​
Natasha_Volkova [10]

Answer:

lcm for cuberoot

that is 2*2*2*5*5*5*3*3*3

make pairs of three common numbers and write them as one.

2*5*3=30

ans =30

check 30*30*30=27000

cube

multiply 27000 three times with itself

27000*27000*27000

=19683000000000.0

8 0
3 years ago
Solve the equation for a K = 4a + 9ab
Nuetrik [128]

Answer:

K/(4+9b) = a

Step-by-step explanation:

K = 4a + 9ab

Factor out a on the right hand side

K = a(4 + 9b)

Divide each side by (4+9b)

K/(4+9b) = a(4 + 9b)/(4+9b)

K/(4+9b) = a

3 0
2 years ago
Which two of the following are applications of the Logarithmic model? *
sukhopar [10]

Answer:

Richter Scale and Acidity/Alkalinity

Step-by-step explanation:

College GPA is modelled by weighted means, Compound Interest uses a potential model, amortization schedule is based on succesions, whereas Richter Scale and Acidity/Alkalinity use logartihmic model.

7 0
2 years ago
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