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Alborosie
4 years ago
10

John spent half of his weekly allowance at the batting cages. To earn more money his parents let him vacuum the house for $6. Wh

at is his weekly allowance if he ended up with $20?
I need the complete equation and answer for it.
THANKS!!!! so much<3
Mathematics
1 answer:
Anettt [7]4 years ago
8 0

Answer:


Step-by-step explanation:

10-6=$4, the money Mark has left after spending half on the vaccum .

1/2x=4

Multiply each side by 2

x=$8johns allowance

Prove it.

john spent half of his weekly allowance on candy. (half of 8 is 4)

His parents then paid him another $6, for a total of $20


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3 years ago
If 8% of all cell phones are defective, and you have a random sample group of 100 Samsung Galaxy Vills,
Sati [7]

Answer:

Mean = 8

Variance = 7.36

Standard Deviation = 2.7129

Step-by-step explanation:

This is a binomial distribution with parameters, n and p.

Where

n is sample size (given as 100)

p is the probability of success, or probability of defective (given as 8% or 0.08)

The mean, variance, standard deviation formula for binomial distribution is shown below:

Mean = np

Variance = npq

Standard Deviation = \sqrt{npq}

Where q would be probability of failure, or "1 - p"

Thus,

n = 100

p = 0.08

q = 1 - 0.08 = 0.92

SO, we have:

Mean = np=100*0.08=8

Variance = npq=100*0.08*0.92 = 7.36

Standard Deviation = \sqrt{npq}=\sqrt{7.36}=2.7129

5 0
3 years ago
ABCD is a parallelogram. Find the measure of angle ABC.​
iVinArrow [24]

Answer:

∠ABC = 50°

Step-by-step explanation:

Since this is a parallelogram, opposite angles are congruent.

Therefore, ∠D ≅ ∠B

∠D = 38° + 12°

∠B = 38° + 12°

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3 years ago
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3 years ago
The vector 〈4,1〉 describes the translation of A(-1, w) to A'(2x+1,\ 4) and B(8y-1,1) onto B'(3,3z) . Find the values of w, x, y,
expeople1 [14]

The values of the variables associated ot translation operations are (w, x, y, z) = (3, 1, 0, 2 / 3).

<h3>How to determine the values of the variables associated to translation operations</h3>

Herein we find two translation cases of points set on Cartesian plane. Translations are rigid operations of the form:

P'(x, y) = P(x, y) + T(x, y)

Where:

  • P(x, y) - Original point
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  • T(x, y) - Translation vector

Now we proceed to determine the values of the variables w, x, y, z behind each translation operation, substitute on each component and solve the resulting formula:

T(x, y) = A'(x, y) - A(x, y)

(2 · x + 1, 4) - (- 1, w) = (4, 1)

(2 · x + 2, 4 - w) = (4, 1)

(x, w) = (1, 3)

T(x, y) = B'(x, y) - B(x, y)

(3, 3 · z) - (8 · y - 1, 1) = (4, 1)

(4 - 8 · y, 3 · z - 1) = (4, 1)

(y, z) = (0, 2 / 3)

To learn more on translations: brainly.com/question/12463306

#SPJ1

6 0
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