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2 years ago

Choose Yes or No to tell whether the expressions are equivalent.

Mathematics

1 answer:

Savatey [412]2 years ago

8 0

Answer:

(4^3)3 and 4^3 • 4^3 = 192 and 4096 = No

(3^4)^4 and 3^8 • 3^8 = 43046721 and 43046721 = Yes

6^4 • 3^4 and 18^8 = 104976 and 11019960576 = No

4^3 • 5^3 and 2^0 = 8000 and 1 = No

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A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. <u>Calculate the mean</u>

$\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666$

Second step. <u>Calculate the standard deviation</u>

$\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}$

$\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}$

$\sigma=\sqrt{17.815}=4.22$

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

$\bar X \pm t\frac{\sigma}{\sqrt n}$

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0

3 years ago

I need help on this one

mel-nik [20]

Answer: 4/9

Step-by-step explanation:

apply product rule to 2/3 2^2 / 3^2

7 0

2 years ago

The following frequency table relates the weekly sales of bicycles at a given store over a 42-week period.

7nadin3 [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

Last season two running back's on the college football team rush for a combined 1550 yards one rushed four times as many yards a

dmitriy555 [2]

Answer:

The player with the most runs had a rush of 1,240 yards

Step-by-step explanation:

In this question, we are asked to calculate the number of yards that was rushed by one of two person given their combined run and an extra information.

Firstly, let the person that had the smaller number of rush have a rush of x rushes. The second person has a rush of 4 times the other. This makes a number of 4x rushes

By adding both together, we have a total of 1550 yards

Mathematically, this means that x + 4x = 1550

5x = 1550

x = 1550/5 = 310 rushes

The second player had a rush of 4x and that is 4 * 310 = 1,240 rushes

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!! HURRY

svp [43]

Its c first find area of the whole thing with piece cut out.(240) then of the cut out piece (12) 240-12=228 C

7 0

3 years ago