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3 years ago

Evaluate 8^4 1. 4096 2. 5426 3. 32

Mathematics

2 answers:

Hitman42 [59]3 years ago

7 0

Answer:
8*8*8*8=4096

Explanation:
When you see an exponent it just means the number times itself that many times

Svetach [21]3 years ago

5 0

The correct answer is 4096.

Let me know if you need help

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A toddler is allowed to dress himself on Mondays, Wednesdays, and Fridays. For each of his shirt, pants, and shoes, he is equall

avanturin [10]

Answer:

0.0286 = 2.86% probability that today is Monday.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dressed correctly

Event B: Monday

Probability of being dressed correctly:

100% = 1 out of 4/7(mom dresses).

(0.5)^3 = 0.125 out of 3/7(toddler dresses himself). So

$P(A) = 0.125\frac{3}{7} + \frac{4}{7} = \frac{0.125*3 + 4}{7} = \frac{4.375}{7} = 0.625$

Probability of being dressed correctly and being Monday:

The toddler dresses himself on Monday, so (0.5)^3 = 0.125 probability of him being dressed correctly, 1/7 probability of being Monday, so:

$P(A \cap B) = 0.125\frac{1}{7} = 0.0179$

What is the probability that today is Monday?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0179}{0.625} = 0.0286$

0.0286 = 2.86% probability that today is Monday.

4 0

3 years ago

Jonathan was given one hundred twenty dollars and thirty six cents by his grandma to purchase toys for his three sisters. Write

Molodets [167]

$136.00 should be split into 3 groups, for the 3 sisters. If you divide 136 dollars by 3, you would get 40. Jonathan should spend 40 dollars on each sister.

7 0

3 years ago

For 7 and 8, find the maximum or minimum point of the parabola

Leni [432]

Answer: 7) Max: y = 52

8) Min: y = -51

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

The Max/Min is the y-value of the intercept.

Max is when the a-value is negative.
Min is when the a-value is positive.

First, find the x-value of the vertex using the Axis of Symmetry formula:

x = -b/2a. Then plug the x-value into the equation to find the y-value.

7) y = -2x² - 16x + 20

↓ ↓ ↓

a= -2 b= -16 c=20

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(-16)}{2(-2)}\quad =\dfrac{16}{-4}\quad =-4$

Max: y = -2(-4)² - 16(-4) + 20

= -2(16) + 64 + 20

= -32 + 84

= 52

*********************************************************************************************

7) y = x² + 12x - 15

↓ ↓ ↓

a= 1 b= 12 c= -15

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(12)}{2(1)}\quad =\dfrac{-12}{2}\quad =-6$

Max: y = (-6)² + 12(-6) - 15

= 36 - 72 - 15

= 36 - 87

= -51

8 0

3 years ago

An equation is shown below:

gayaneshka [121]

6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division

the value of x that makes the equation true is 7.

8 0

3 years ago

Can anyone tell me how to do this?

erma4kov [3.2K]

Answer:

I'm too stoopid for this.

Step-by-step explanation:

8 0

3 years ago