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4 years ago

3/4x + 11 < .3x + 3/4Solve inequality. pls

1 answer:

7 0

3/4x+11 < 0.3x+3/4
First turn 3/4 from both sides to decimals to get..
.75x+11 < 0.3x+.75
And then subtract 0.3x from both sides to get
.45x+11 < .75
And then subtract 11 from both sides to get
.45x < -10.25
And then divide both sides by .45x to get
x < -22.77777778

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Simplify the expression 5/x-2y5

34kurt

5x-y10 We're basically just multiplying the 5 by x and the y by 5 and -2.

(5/x= 5x) + (y/-2/-5)

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4 years ago

42,591 to the nearest thousand

Nutka1998 [239]

Answer:

43,000

Step-by-step explanation:

Remember, the tipping point is 50%.

42,591, if the hundreds to one's place is 500 or more, the number 591, it increases the thousands value by 1

Since 591 is greater than 591, the new number will increase from 42,591 to 43,000

-Chetan K

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2 years ago

Read 2 more answers

Which graph shows the solution to the equation 4x-4=4?

Mama L [17]

Answer:

Step-by-step explanation:

y = 4x - 4 is a line with y-intercept -4 and slope 1. Both graphs A and C show that line in blue.

y = 4 is a horizontal line through y = 4. Graph A shows that line.

Answer: A

5 0

3 years ago

Researchers obtained a sample of n = 10 children who attended daycare before starting school. The children are given a standardi

attashe74 [19]

Answer:

$t=\frac{55.5-50}{\frac{4.249}{\sqrt{10}}}=4.093$

$p_v =2*P(t_{9}>4.093)=0.00084$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

We can say that at 5% of significance the true mean is significantly different from 50.

Step-by-step explanation:

Data given and notation

53, 57, 61, 49, 52, 56, 58, 62, 51, 56

We can calculate the sample mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X))^2}{n-1}}$

And we got:

$\bar X=55.5$ represent the sample mean

$s=4.249$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =50/tex] represent the value that we want to test [tex]\alpha=0.05$ represent the significance level for the hypothesis test (ASSUMED).

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is equal or not to 50 :

Null hypothesis: $\mu = 50$

Alternative hypothesis: $\mu \neq 50$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.5-50}{\frac{4.249}{\sqrt{10}}}=4.093$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=10-1=9$

Since is a two-sided tailed test the p value would given by:

$p_v =2*P(t_{9}>4.093)=0.00084$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

We can say that at 5% of significance the true mean is significantly different from 50.

6 0

4 years ago

Mount Belinda is the highest point in the South Sandwich Islands, with a peak of 1,370 meters above sea level. The South Sandwic

AveGali [126]

Question is not complete. Complete question is;

Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).

Part A: What is the difference in elevations between Mount Belinda and the South Sandwich Trench?

Part B: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value.

Part C: What elevation is halfway between the peak Mount Belinda and the South Sandwich Trench?

Answer:

A) 100478.86 metres

B) Explained below.

C) 50239.43 metres

Step-by-step explanation:

I have attached an image showing the elevations as depicted in the question.

MB represents peak of Mount Belinda while SS represents lowest point of South Sandwich Islands.

A) Now, total vertical distance from peak of MB to lowest point of SS is;

8428 + 1370 = 9798 metres

Since the horizontal distance between MB and SS is 100000 metres, then we can use pythagoras theorem to find the Elevation between MB and SS.

If the Elevation is x.

Thus;

x = √(9798² + 100000²)

x = 100478.86 metres

B) The Elevation between peak of MB and lowest point of SS will be halfway below the sea level because the distance from the lowest point of SS from the sea level is 5 times bigger than the distance from peak of MB to the sea level.

C) The halfway Elevation between peak MB and lowest SS will be;

100478.86/2 = 50239.43 metres

3 0

3 years ago