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3 years ago

Which expressions represent the same value? Please helpp

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

It should be the first option since 15/1 = 15

Nostrana [21]3 years ago

8 0

Answer:

a and d

Step-by-step explanation:

..... trust me ..... .....

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18. You are standing beside the Colorado River, 400 feet

Veseljchak [2.6K]

<h3>Answer: B. 781.6 feet approximately</h3>

=======================================================

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

6 0

3 years ago

Suppose that you plan on investing into a account paying simple interest. The formula for simple interest is I = Prt, where I is

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

No.

i = prt is correct; its result is the simple interest earned.

If you want to solve for time, t, divide both sides by pr:

i/(pr) = t

3 0

3 years ago

A spinner is divided into 4 sections. The spinner is spun 100 times. The probability distribution shows the results.

Vitek1552 [10]

P(1≤x≤3) defined the probability that the result is between 1 and 3, included. You can answer this question in two ways:

1. Sum the probabilities of good events:

From the graph, we have

$P(x=1) = 0.32,\quad P(x=2) = 0.24,\quad P(x=3) = 0.28$

So,

$P(1\leq x \leq 3) = 0.32+0.24+0.28 = 0.84$

2. Use complementary probabilities

Asking that the result is 1, 2 or 3 is the same as asking that the result is not 4. The probability that the result is 4 is 0.16, so the probability that the result is not 4 will be

$P(x\neq 4) = 1-P(x=4) = 1-0.16=0.84$

The result is obviously the same.

5 0

3 years ago

Read 2 more answers

2(x−8)=x+5x<br><br> x= −4<br> x= −16<br> x= −2<br> x = 0

olasank [31]

Answer: X = -4

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

8 0

2 years ago

Read 2 more answers

A sample of eight workers in a clothing manufacturing company gave the following figures for the amount of time(in minutes) need

lilavasa [31]

Answer:

$10.108 < \mu < 13.892$

Step-by-step explanation:

1) 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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

We have the following distribution for the random variable:

$X \sim N(\mu , \sigma=0.45)$

And by the central theorem we know that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12$

The sample deviation calculated $s=2.268$

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

$df=n-1=8-1=7$

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 tabel to find the critical value. The excel command would be: "=-T.INV(0.025,7)".And we see that $t_{\alpha/2}=2.36$

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

$12-2.36\frac{2.268}{\sqrt{8}}=10.108$

$12+2.36\frac{2.268}{\sqrt{8}}=13.892$

So on this case the 95% confidence interval would be given by (10.108;13.892)

$10.108 < \mu < 13.892$

7 0

3 years ago