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Goryan [66]
3 years ago
6

Solve following x-y=2 5x+3y=18

Mathematics
2 answers:
Mazyrski [523]3 years ago
6 0
x-y=2 \\ -x\ \ -x \\ -y=-x+2 \\ y=x-2 \\ \\ 5x+3(x-2)=18 \\ 5x+3x-6=18 \\ 8x-6=18 \\ +6\ \ \ \ +6 \\ 8x=24 \\ /8\ \ \ /8 \\ x=3
kvasek [131]3 years ago
5 0
X-y = 2
5x+3y =18 

let do some plug and play 

x-y = 2 
x = 2+y
now we got an answer for x lets plug that in the other equation

5(2+y) + 3y = 18
10+5y + 3y = 18
10 + 8y = 18
8y = 8
y = 1 

now lets find x 
x = 2 +y 

x = 2+ 1 
x = 3. 



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A baker is decorating the top of a round cake with cherries. The diameter of the cake is 9.5 inches. Each cherry is 0.75 inches
True [87]

Answer:

A= 78.5 sq. in

Step-by-step explanation:

Step by step

1: A = pi * r^2

2: A = 3.14 * 25

In words.

1: Times the pi by r^2

2: The answer will come out as 3.14

3: Times the Answer that is 3.14 by 25

Answer: A= 78.5 sq. in

<em><u>Hope this helps.</u></em>

6 0
3 years ago
Problem: a circle is inscribed in a square. The squares perimeter is 16 times the square root of 6. What is the probability of s
Oksi-84 [34.3K]
I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).

To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96

Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
and now divide through by 96 to yield 21%
8 0
3 years ago
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
3 years ago
7x+4y-6z=-73<br> 8x+5y+6z=-59<br> -4x-8y-3z=46<br> y=
Oksanka [162]
Is this all one equation??
5 0
3 years ago
Solve for x.<br><br> 2(4x− 9) = 5(x − 4)
cluponka [151]

Answer:

2(4x− 9) = 5(x − 4)

=>8x- 18= 5x-20

=>8x-5x= -20+18

=>3x = -2

=>x= -2/3

8 0
3 years ago
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