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2 years ago

Evaluate the expression 3^4 ÷ (14 − 5) × 2.

Mathematics

2 answers:

gavmur [86]2 years ago

8 0

Answer:

Step-by-step explanation:

3^4=9*9=81

14-5=9

81/9=9

9*2=18

aliya0001 [1]2 years ago

8 0

Answer: 18

Step-by-step explanation:

From the question: 3^4 ÷ (14 − 5) × 2.

Apply BODMAS, open bracket first

3^4 ÷ 9 x 2

3^4 = 3 x 3 x 3x 3 = 81

81 ÷ 9 x 2

Next is to divide , then, multiply

9 × 2

=18

I hope this is clear. Please mark as brainliest answer.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Yakvenalex [24]

Answer: (C) even

<u>Step-by-step explanation:</u>

A function is even when f(x) = f(-x)

A function is odd when f(-x) = -f(x)

f(x) = -2x⁴ + 3x²

f(-x) = -2(-x)⁴ + 3(-x)²

= -2x⁴ + 3x²

f(x) = f(-x) so the function is even

-f(x) = -(-2x⁴ + 3x²)

= 2x⁴ - 3x²

f(-x) ≠ -f(x) so the function is not odd.

8 0

3 years ago

The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits

Crazy boy [7]

Answer: The numbers are:

965

875

785

695

Step-by-step explanation:

We have a 3 digit number that can be written as:

a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds

b is the tens

c is the unit.

We know that:

"The sum of the tens digit and the hundreds digit of a number is three times the units digit."

a + b = 3*c

" 1/5 of the sum of all three digits is 1 less than the units digit."

(a + b + c)/5 = c - 1

Then we have the two conditions:

a + b = 3*c

(a + b + c)/5 = c - 1

From the first one, we can write:

(a + b)/3 = c

Replacing that in the other equation we get:

(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1

(4/3)*(a + b)/5 = (a/3 + b/3) - 1

(4/15)*(a + b) = (a + b)/3 - 1

(4/15)*(a + b) - (a + b)/3 = - 1

-(1/15)*(a + b) = -1

a = 15 - b

Then we can give different values for b, and find the values of a and c, where a and c must be positive.

b = 9

a = 15 - 9 = 6

Then:

c = (9 + 6)/3 = 5

(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).

This number will be:

695.

if b = 8, then:

a = 15 - 8 = 7

and c = 5, same as before.

the number is 785.

If b = 7, then:

a = 15 - 7 = 8

The number is 875

if b = 6, then:

a = 15 - 6 = 9

The number is:

965

4 0

2 years ago

A Jewelry Company sells a bracelet and gives customers the option to purchase charms to add to the bracelet. The expression 60+2

vlabodo [156]

Answer: the price per charm

Step-by-step explanation:

not really sure but i think 60 is the price of the beacelet and since x is the charms 25 must be the price per charm because 25 is multiplyed with x.

does that make sense?

7 0

3 years ago

Write an equivalent fraction for the whole number 6?

Keith_Richards [23]

6*2 = 12
12/2 = 6

So, the answer could be 12/2

6 0

2 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$