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Fudgin [204]
3 years ago
11

How do I solve the equation 2x-5x+6.3=-14.4

Mathematics
1 answer:
Serga [27]3 years ago
7 0
-3x+6.3=-14.4
-6.3=-6.3
-<u>3x</u>=-<u>20.7</u>
-3      -3
x=6.9
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Help me please don't know this
larisa86 [58]

n/5 = -1/5

5n = -5

<u>n = -1</u>

n - 13 = -12

n = -12 + 13

<u>n = 1</u>

n + 15 = -10

n = -10 - 15

<u>n = -25</u>

-5n = 1

<u>n = -1/5</u>

4 0
3 years ago
Read 2 more answers
Answers please, asap!!
ANEK [815]

Answer:

x2 =  -0.600000

x3 = -0.521600

Step-by-step explanation:

Given the formula;

xn+1 = (xn)³-5/10

x2 = (x1)³-5/10

Given x1 = -1

x2 = (-1)³-5/10

x2 = (-1-5)/10

x2 = -6/10

x2 = -0.600000

x3 = (x3)³-5/10

Given x3 = -0.6

x3 = (-0.6)³-5/10

x3 = (-0.216-5)/10

x3 = -5.216/10

x3 = -0.521600

3 0
3 years ago
A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances
wariber [46]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to compare two compounds, designed to reduce braking distance, used in tire manufacturing to prove if the braking distance of SUV's equipped with tires made with compound 1 is shorter than the braking distance of SUV's equipped with tires made with compound 2.

So you have 2 independent populations, SUV's equipped with tires made using compound 1 and SUV's equipped with tires made using compound 2.

Two samples of 81 braking tests are made and the braking distance was measured each time, the study variables are determined as:

X₁: Braking distance of an SUV equipped with tires made with compound one.

Its sample mean is X[bar]₁= 69 feet

And the Standard deviation S₁= 10.4 feet

X₂: Braking distance of an SUV equipped with tires made with compound two.

Its sample mean is X[bar]₂= 71 feet

And the Standard deviation S₂= 7.6 feet

We don't have any information on the distribution of the study variables, nor the sample data to test it, but since both sample sizes are large enough n₁ and n₂ ≥ 30 we can apply the central limit theorem and approximate the distribution of both variables sample means to normal.

The researcher's hypothesis, as mentioned before, is that the braking distance using compound one is less than the distance obtained using compound 2, symbolically: μ₁ < μ₂

The statistical hypotheses are:

H₀: μ₁ ≥ μ₂

H₁: μ₁ < μ₂

α: 0.05

The statistic to use to compare these two populations is a pooled Z test

Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } }

Z ≈ N(0;1)

Z_{H_0}= \frac{69-71-0}{\sqrt{\frac{108.16}{81} +\frac{57.76}{81} } }= -1.397

The rejection region if this hypothesis test is one-tailed to the right, so you'll reject the null hypothesis to small values of the statistic. The critical value for this test is:

Z_{\alpha  } = Z_{0.05}= -1.648

Decision rule:

If Z_{H_0} > -1.648 , then you do not reject the null hypothesis.

If Z_{H_0} ≤ -1.648 , then you reject the null hypothesis.

Since the statistic value is greater than the critical value, the decision is to not reject the null hypothesis.

At a 5% significance level, you can conclude that the average braking distance of SUV's equipped with tires manufactured used compound 1 is greater than the average braking distance of SUV's equipped with tires manufactured used compound 2.

I hope you have a SUPER day!

4 0
3 years ago
Is the difference between a positive mixed number and a negative mixed number always, sometimes, or never positive?
Annette [7]
Ok It depends upon what the order of the terms might be

 

If we consider that the positive mixed number is the first term and the negative mixed number is the second term and we consider "difference" to be subtraction.....then the result is positive

 

For example

(3 + 1/2) -  [ -(1 + 1/2)] =

 

(3 +1/2) + (1 + 1/2) = 5   since subtracting a negative results in a positve

 

But....if we had the reverse order with the same operation, we would have

 

-(1 + 1/2) - (3 + 1/2)   and the result is - 5

 

Hence.......I would go with "sometimes"

 

5 0
3 years ago
Does -2 (6 - 3x) = -12 + 6x have any solutions?
Sedbober [7]

First to answer

Answer:

This equation has Infinite solutions! or should i say that All real numbers are solutions.

Let me know if it is correct!

7 0
3 years ago
Read 2 more answers
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