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gizmo_the_mogwai [7]
3 years ago
6

Is the absolute value symbol another form of parentheses that all operations on the outside of the symbols be distributed into t

he absolute value symbols.
Mathematics
2 answers:
Sedaia [141]3 years ago
8 0
No any variable in an absolute symbol comes out positive
|-6| = 6
Angelina_Jolie [31]3 years ago
8 0
No, they are just there to show that you are trying to find absolute value.
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After 10 years, Hamid's account earned $300 in interest. If the interest rate (in decimal form) is 0.06, how much did Hamid init
tester [92]

Answer:

  • p = I/(rt)
  • p = $500

Step-by-step explanation:

To solve the equation I=prt for p, divide by its coefficient, rt. That gives ...

  p = I/(rt)

__

Now, to answer the question, you can substitute the given values for I, r, t and you have ...

  p = $300/(0.06·10) = $500

Hamid initially invested $500.

6 0
3 years ago
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are
lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

H_0: \mu_1 - \mu_2 = 0

H_a: \mu_1 - \mu_2 > 0

In which \mu_1 is the mean pine trees height while \mu_2 is the mean spruce trees height.

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

X = 35 - 30 = 5

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2

s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{5 - 0}{2.4495}

z = 2.04

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0
3 years ago
Dean sot a goal to do more than 900 push-ups this month. So far, he has done 230 push-ups, and there are 20 more days remaining
vampirchik [111]

Step-by-step explanation:

he has 900-230 = 670 more push-ups to do in the remaining 20 days.

so, he has to do every day

670/20 = 67/2 = 33.5 push-ups.

fractions of push-ups don't make sense.

we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .

so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.

p > 33

or

p >= 34

both should be correct in the context of using only whole numbers.

bur in case of doubt I would pick p >= 34.

5 0
2 years ago
Carol had a previous balance of $557.83 in her checking account. She deposited checks
g100num [7]

Answer:

x^2-4/7x-12/49=0

x= 6/7 and -2/7

Step-by-step explanation:

6 0
3 years ago
hi i need help this is from a paper that was due last week please help ASAP if you give me some troll or dum answer fro point yo
WINSTONCH [101]

Answer:

Option D

Step-by-step explanation:

8 0
2 years ago
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