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Dennis_Churaev [7]

4 years ago

10

a stand was selling 8 mangos for $10 at a farmers market. Keisha said,"that means we can write the ratio 10:8 or $1.25 per mango

. luis said,"i thought we had to write the ratio the other way 8:10 or 0.8 mangos per dollar.who is correct and why?can we write more than on ratio for this situation?

1 answer:

andrey2020 [161]4 years ago

5 0

Answer:

Keisha is right.
No, only 1 ratio works

Step-by-step explanation:

You want the units to be dollars / mango.
You have 10 dollars. How many mangos can you buy and at what price. They are selling mangoes for more than a dollar each.
The answer should be $1.25 per mango. Think of it this way:
If the cost of a mango was $1.00 you would be able to get 10 of them. Do you agree? Since you can only get 8, they must be more than a dollar each.
The ratio can only be written in one way. 10/8 = 1.25

Answer

Keisha is right.
No, only 1 ratio works

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression

Wewaii [24]

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis $\mathbf{H_o}$

<h3>What is the Z-score of a test statistic?</h3>

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

$\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}$

$\mathbf{Mean (\bar x) = \dfrac{24256}{10}}$

Mean (x) = 2425.6

The hypothesis testing can be computed as:

$\mathbf{H_o: \mu = 2425.6}$

$\mathbf{H_1: \mu \ne 2425.6}$

The standard deviation (σ) is:

$\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}$

$\mathbf{= \sqrt{3199489}}$

= 1788.71

Now, the Z-test statistic is determined using the formula:

$\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }$

$\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }$

$\mathbf{|Z| = |-2.3058| }$

Z ≅ 2.306

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis $\mathbf{H_o}$

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

Learn more about calculating the Z-score of a test statistics here:

brainly.com/question/15569214

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8 0

2 years ago

Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?

Daniel [21]

Answer:

Option 2: (x-4)^2 + (x-5)^2 = 4

Step-by-step explanation:

The given circle's center is: (4,5)

And the radius is 4 units.

We are told in the question that the center will remain same only the radius will be changed.

The center is denoted by (h,k) = (4,5) and radius is 2

Standard equation of circle is:

(x-h)^2 + (y-k)^2 = r^2

So the equation of another circle with same center and radius of 2 units will be:

(x-4)^2 + (x-5)^2 = 2^2

(x-4)^2 + (x-5)^2 = 4

Hence option 2 is correct ..

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4 years ago

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

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3 years ago