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vaieri [72.5K]
3 years ago
10

Which information do you know is true from the diagram? Check all that apply.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer: <ABD is a right angle and m<ABD = 90°

Step-by-step explanation:

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Use the fact that (a^x)^y=a^xy to prove that log a^(b^y)= y•log a^b
raketka [301]

Answer:the answer is 45x

Step-by-step explanation:

4 0
3 years ago
Find simple interest on $5,523 principal deposited for seven years at a rate of 4.99%
Whitepunk [10]
I=PRT
I=interest
P=initial amount
R=rate in decimal
T=time in years

given
P=5523
R=4.99%=0.0499
T=7

I=(5523)(0.0499)(7)
I=1929.1839
round

$1929.18 interest earned
8 0
4 years ago
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Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.
Georgia [21]
Correct Ans:
Option A. 0.0100

Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.

First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

z-score= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10} } } \\  \\ &#10;z-score =2.326

So, 90 converted to  z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.

Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.
5 0
4 years ago
432 tk. is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share wich is equal to
Flura [38]

Answer:

A got 243 tk

Step-by-step explanation:

Supose the amount C got was "x"

12 times B's share is 6 times C's share, that would be:

B = 6x

Also, 8 times A's share is 12 times B's share, that would be:

8A = 12B

8A = 12(6x)

8A = 72x

A = 72x/8

A = 9x

Now, we can say:

A = 9x

B = 6x

C = x

We know total is 432, thus we can write and solve for x first:

A + B + C = 432

9x + 6x + x = 432

16x = 432

x = 432/16

x = 27

A got "9x", so plugging in x = 27, we know:

A got 9*27 = 243 tk

7 0
4 years ago
HELP what is the value of x?
pochemuha

Answer: Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol

Step-by-step explanation:

7 0
3 years ago
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