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3 years ago

Match the following items.

Mathematics

2 answers:

Musya8 [376]3 years ago

7 0

1. Combine like terms
2. Subtraction
3. Division
4. Given

Nimfa-mama [501]3 years ago

5 0

Answer and explanation:

To find : Match the following items.

Solution :

We arrange all steps by steps,

Step 1 - Given

$2x + x + 4 = -17$

Step 2 - Combine like terms,

$3x+ 4 = -17$

Step 3 - Subtract 4 both side,

$3x=-21$

Step 4 - Divide by 3 both side,

$x=-7$

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We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood fol

jarptica [38.1K]

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e. Mean + Margin of error = 42.969 (i)

Mean - Margin of error = 36.191 (ii)

Adding (i) and (ii), we get

$2Mean =79.16\\\\\Rightarrow\ Mean= 39.58$

Margin of error = 42.969-39.58 [from (i)]

= 3.389

Margin of error = $t^* \dfrac{\sigma}{\sqrt{n}}$

here n= 25 $, \ \sigma=8.25$

i.e.

$3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \$

Using excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

7 0

3 years ago

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow

mel-nik [20]

Hi there! Hopefully this helps!

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It decreased by 30 cents per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

Rate of change = $\frac{-60 -10 -20}{3}$ .

(-60 + -10 + -20 = -90). So, to simplify it:

$\frac{-90}{3}$ = -30

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

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3 years ago

Charlie will spend at most $29 on gifts. So far, he has spent $12. What are the possible additional amounts he will spend?

Firlakuza [10]

Answer: 29-12_< c

Step-by-step explanation:

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3 years ago

F(x)=x2−x−1f, left parenthesis, x, right parenthesis, equals, x, squared, minus, x, minus, 1 What is the average rate of change

Alexandra [31]

Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

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3 years ago

ratelena [41]

Amount Financed: $2,650
Finance Charge: $484.69
Number of Payments: 36

(Finance Charge)/(Amount Financed)*100$=($484.69)/($2,650)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1829)*100$
(Finance Charge)/(Amount Financed)*100$=$18.29

In the row of number of Payments 36, we look for:
(Finance Charge)/(Amount Financed)*100$=$18.29, and we see to which annual porcentage rate it corresponds in the first row

Answer: 11.25%

7 0

3 years ago