All categories

4 years ago

Help me goddammit!!!! Solve the system of equations.

1 answer:

7 0

It should be -2,4 or -5,1.

since both answers = y then you put them equal to each other and then solved for x.

x+6=x^2 +8x +16
0=x^2 +7x +10
0=(x+2)(x+5)

x=-2 or -5

and for y I input the two separately into one of the equations

y= (-2)+6

y=4

y=(-5)+6

y=1

and then I double checked by imputing my y's and x's into the remaining equation.

(4)=(-2)^2 +8(-2)+16
4=4-16+16
4=4

(1)=(-5)^2 +8(-5)+16
1=25-40+16
1=1

I hope your tests go well with the help of this knowledge.

You might be interested in

hyun is comparing two numbers. he knows the larger number is twice the value of 4 more than the smaller number, x. he also knows

irinina [24]

Let b>a...

b=2(a+4)

b=2a+8 then we are told that:

b-a=11 using b found above in this equation gives you:

2a+8-a=11 combining like terms on left side

a+8=11 subtracting 8 from both sides

a=3

So the smaller number is 3.

...

since b=2a+8

b=14

check..

b=2(a+4)

14=2(3+4)

14=2(7)

14=14

and

b-a=11

14-3=11

11=11

6 0

4 years ago

Read 2 more answers

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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.

In this problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0

4 years ago

Determine if the lines are parallel,perpendicular, or neither L1:4x+y=1 L2:y-4x=-9

Licemer1 [7]

Answer:

Neither

Step-by-step explanation:

(See the attachment)

4 0

3 years ago

In a 2019 Quinnipiac University poll of registered voters, 52% oppose making all US public colleges free. The Glangariff Group i

Sphinxa [80]

Answer:

The answer is

2.451

Step-by-step explanation:

52% oppose making all US colleges free

Total population n = 600

X = 342 people who supports taxpayer funded free college

P = 0.52

N = 600

P^ = x/n

= 342/600

= 0.57

Test statistic

Z = ^p-p/√p(1-p)/n

Z= 0.57-0.52/√0.52(1-0.52)/600

Z = 0.05/√0.000416

Z = 0.05/0.020496

Z = 2.451 or 2.45

That is the value of the test statistic.

3 0

3 years ago

16, 13, 10 is this sequence arithmetic or geometric and determine the common difference/ ratio in simplest form

lina2011 [118]

Answer:

It is arithmetic progression

Step-by-step explanation:

If wwe see, the numbers are going down by 3 each time, therfore the common difference is 3

4 0

2 years ago

Read 2 more answers