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yanalaym [24]
3 years ago
5

Find 5 solutions for 1/3x+y=12

Mathematics
2 answers:
Rus_ich [418]3 years ago
3 0

Answer:

x=−3y+36

Step-by-step explanation:

lesya [120]3 years ago
3 0
Jdjdjjfjfjjrjjrjdjdjdjdjjdjdjd
Hdjdjjfjfjdjjjdjdjdjdjjdjdjd
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Find X : log2+ logx=1
Dominik [7]
log2+logx=1;\ D:x\in\mathbb{R^+}\\\\log(2\ \cdot\ x)=log10\iff2x=10\ \ \ /:2\\\\x=5\in D\\\\Solution:x=5.
8 0
3 years ago
Read 2 more answers
In the past, the population proportion of consumers preferring orange juice with no pulp was equation. To test if this populatio
geniusboy [140]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

a) For the null hypothesis,

P = 0.45

For the alternative hypothesis,

P ≠ 0.45

b) For the decision rule, we would reject H0 if 0.1 > p value and accepth H0 if 0.1 < p value

Considering the population proportion, probability of success, p = 0.45

q = probability of failure = 1 - p

q = 1 - 0.45 = 0.55

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 52

n = number of samples = 120

p = 52/120 = 0.43

c) We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.43 - 0.45)/√(0.45 × 0.55)/120 = - 0.44

Recall, population proportion, P = 0.45

The difference between sample proportion and population proportion(P - p) is 0.45 - 0.43 = 0.02

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.45 - 0.02 = 0.43

the p for the right tail is 0.45 + 0.02 = 0.47

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.3336

We would double this area to include the area in the right tail of z = 0.44 Thus

p = 0.3336 × 2 = 0.67

d) Since alpha, 0.1 < than the p value, 0.67, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, we do not have enough evidence to reject the​ null hypothesis

4 0
2 years ago
Hi, i need help with this question. Thank you so much if you decide to help me :3
irina1246 [14]

Answer:

We can split this into ∛8 * ∛n⁹. ∛8 = 2 and ∛n⁹ = n³ so the answer is 2n³.

7 0
3 years ago
Read 2 more answers
which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3
Sedbober [7]

Answer:

-2x+3y=7

or

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

or

2. 2x-3y+9= -2

so

2x-3y= -11

Hope this helps

7 0
3 years ago
The following situation calls for a significance test. State the appropriate null hypothesis <img src="https://tex.z-dn.net/?f=H
harina [27]

Answer:

H_{0}: \sigma = 10\\

H_{a}: \sigma > 10\\        

Step-by-step explanation:

We are given the following in the question:

The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.

This will be stated by the null hypothesis.

H_{0}: \sigma = 10\\

It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.

This will be stated by the alternate hypothesis.

H_{a}: \sigma > 10\\

The parameter for the given hypothesis is standard deviation, \sigma.

3 0
3 years ago
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