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3 years ago

Solve for x: 2x/5=12/8

Mathematics

2 answers:

Anika [276]3 years ago

5 0

Answer:

x = $3\frac{3}{4}$

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = $3\frac{3}{4}$

Ksenya-84 [330]3 years ago

4 0

Answer:

exact form: x=15/4

decimal form; 3.75

miced number: 3 3/4

Step-by-step explanation:

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Please help with these three questions and thank you

Advocard [28]

1.A

2.D

3.B

Step-by-step explanation:

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6 0

4 years ago

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Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of bra

Stella [2.4K]

Answer:

The 95% confidence interval would be given by $-23.44 \leq \mu_1 -\mu_2 \leq -8.16$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X_1 =114.1$ represent the sample mean 1

$\bar X_2 =129.9$ represent the sample mean 2

n1=5 represent the sample 1 size

n2=2 represent the sample 2 size

$s_1 =5.08$ sample standard deviation for sample 1

$s_2 =5.37$ sample standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

Confidence interval

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =114.1-129.9=-15.8$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n_1 +n_2 -1=5+5-2=8$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that $t_{\alpha/2}=\pm 2.31$

The standard error is given by the following formula:

$SE=\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}$

And replacing we have:

$SE=\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=3.306$

Confidence interval

Now we have everything in order to replace into formula (1):

$-15.8-2.31\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=-23.437$

$-15.8+2.31\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=-8.163$

So on this case the 95% confidence interval would be given by $-23.44 \leq \mu_1 -\mu_2 \leq -8.16$

8 0

3 years ago

A+ b = 180 x + 25 5x Write the equation and solve for x.

Len [333]

Answer:

x is approximately 25.83

Step-by-step explanation:

x + 25 + 5x = 180

6x + 25 = 180

6x = 155

x=25.83

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3 years ago

Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers. 25% of the stickers on each sheet are hear

olga2289 [7]

Answer:125 hearts 375 stars

Step-by-step explanation:

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3 years ago

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What is the answer to 14 + x = 46;x= 32

Liono4ka [1.6K]

Simplifying 14 + x = 46
Solving 14 + x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + x = 46 + -14 x = 46 + -14 Combine like terms: 46 + -14 = 32 x = 32 Simplifying x = 32

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3 years ago