Derive Somebody could help me? check that

Which is the result of the following equation 3x ^2-9=0

pickupchik [31]

X = 1.73205080757 Hope I helped

6 0

3 years ago

Read 2 more answers

Which value of x would make ? 1 6 8 10

Liono4ka [1.6K]

Answer:

$x=8\ in$

Step-by-step explanation:

we know that

If NO is parallel to KJ

then

Triangles LNO and LKJ are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is equal

so

$\frac{LO}{LJ}=\frac{LN}{LK}$

substitute the values

$\frac{x-4}{x-4+x}=\frac{x-3}{x-3+x+2}$

$\frac{x-4}{2x-4}=\frac{x-3}{2x-1}\\ \\(x-4)(2x-1)=(x-3)(2x-4)\\ \\2x^{2}-x-8x+4=2x^{2}-4x-6x+12\\ \\-9x+4=-10x+12\\ \\10x-9x=12-4\\ \\x=8\ in$

3 0

3 years ago

Can you help me solve y=-3x-2 (-7x-6y=-10

navik [9.2K]

$y=-3x-2\\-7x-6y=-10\\\\
-7x-6(-3x-2)=-10\\
-7x+18x+12=-10\\
11x=-22\\
x=-2\\\\y=-3\cdot(-2)-2\\y=6-2\\y=4$

5 0

3 years ago

In a class of 54 students there are 6 more girls than boys. What is the ratio of the number of boys to the numbers of girls

OLEGan [10]

Answer:

6:54?

Step-by-step explanation:

Im really sorry if it's wrong but I'm pretty sure thats the answer since its a ratio

8 0

3 years ago

According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones

schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

$\mu = 237, \sigma = 54$

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

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

$Z = \frac{160 - 237}{54}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0

3 years ago