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Pavlova-9 [17]
3 years ago
10

As part of a study of the treatment of anemia in cattle, researchers measured the concentration of selenium in the blood of 36 c

ows who had been given a dietary supplement of selenium (2 mg/day) for one year. The cows were all the same breed and had all borne their first calf during the year. The mean selenium concentration was 6.21 μg/dl and the standard deviation was 1.84 μg/dl.16 Construct a 95% confidence interval for the population mean.
Mathematics
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that a  part of a study of the treatment of anemia in cattle, researchers measured the concentration of selenium in the blood of 36 cows who had been given a dietary supplement of selenium (2 mg/day) for one year.

If x is the selenium concentration then

X has mean= 6.21 mg/dl

and std dev = 1.84

Sample size n = 36

std error of sample = \frac{1.84}{\sqrt{36} } \\=0.307

Margin of error for 95%

1.96(0.307)=0.602

Confidence interval = (6.21-0.605, 6.21+0.605)\\= (5.605, 6.815)

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Answer:

135

Step-by-step explanation:

simply You're asked 15% of 900 so

900 x 15/100 =135

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The edge of each cube used to build this rectangular prism is 13
kolbaska11 [484]

Answer:

\frac{3}{3} * \frac{2}{3} *\frac{3}{3} =\frac{2}{3} \ in^3

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

Step-by-step explanation:

The question is missing the attached figure.

The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.

the volume of the prism = length × height × width

length = 3 * \frac{1}{3} = \frac{3}{3}

height = 3 * \frac{1}{3} = \frac{3}{3}

width = 2 * \frac{1}{3}= \frac{2}{3}

So the volume of the prism = \frac{3}{3} *\frac{3}{3} *\frac{2}{3} =\frac{2}{3} \  in^{3}

∴ The equation that shows the volume of the prism, in cubic inches

= \frac{3}{3} * \frac{2}{3} *\frac{3}{3} =\frac{2}{3} \ in^3

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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

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Either way, X is 5 and Y is -1

Answer (5, -1)

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