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Mila [183]
1 year ago
10

Construct an interval estimate for the given parameter using the given sample statistic and margin of error. For μ1-μ2, using x¯

1-x¯2=8 with margin of error 8 .
Mathematics
1 answer:
maks197457 [2]1 year ago
4 0

Answer: CI = (0, 8)

Step-by-step explanation: Confidence interval for difference between mean is given below as

Lower limit

= (x1 - x2) + margin of error

Upper limit

= (x1 - x2) - margin of error

where x1 - x2 = 8 and margin of error = 8

For lower limit,

= 8 - 8 = 0

For upper limit

= 8 + 8 = 16

Hence CI = (0, 8)

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Jeremy had 3/4 of a submarine sandwich and gave
NeX [460]
Actual question is "<span>Jeremy had 3/4 of a submarine sandwich and gave his friend 1/3 of it. What fraction of the sandwich did the friend receive?"

Solution:
1/3 of 3/4 of a submarine sandwich = 1/3x3/4 = 3/12 = 1/4
so jermy gave 1/4 of the submarine sandwich to his friend. </span>
5 0
1 year ago
Points A(-2,3), B(-5,-4), and C(2,-1) form triangle ABC on a coordinate plane. What is the area of this triangle in square units
Veseljchak [2.6K]

1. Draw an accurate picture of the triangle in the coordinate axes, as shown in the attached picture.<span>

<span>2. Circumscribe a rectangle about the triangle, as shown in the picture. The coordinates of the points M, N, T are easily identifiable as shown in the picture.</span>

<span>3. The area of the triangle ABC is  The area of the rectangle - Area 1- Area 2- Area 3.</span>

Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
<span>Area 3 = 1/2( 3*7)=21/2</span>

<span>Area 1+Area 2+Area 3=21/2+21/2+8=21+8=29 (units squared)</span>

<span>Area rectangle=  7*7=49 (units squared)</span>


<span>Answer: Area of triangle is 20 units squared.</span></span>

5 0
1 year ago
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One of the formulas for calculating the correct dosage for a child is as follows: C= a/(a+12) ∙ 180
Brilliant_brown [7]
<u>I'm assuming you're formula is "</u><span><u>C=a/(a+12)*A" as that is only logical</u></span><span>

You get the formula </span><u>"C=a/(a+12)*A"

</u>You insert the numbers given, in place of the letters given.
<u>
</u>C=6/(6+12)*180
<u />C=3*180
C=540 mg

Which is of course wrong because it is more than the adults dosage. What i'm trying to say is "Your formula is incorrect , follow the steps I gave, but use the correct formula"
5 0
1 year ago
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Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a
Dimas [21]

Answer:

f(t)=-\frac{3}{2}t-7

Step-by-step explanation:

We know that:

  • The initial conditions are -7 meters at 0 minutes.
  • Then, after 6 minutes, he was 16 meters below the ground.

According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are (0;-7) and (6;-16), where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

m=\frac{y_{2}-y_{1}}{t_{2}-t_{1}} \\m=\frac{-16-(-7)}{6-0}=\frac{-16+7}{6}=\frac{-9}{6}=\frac{-3}{2}

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point (0;-7) is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:

f(t)=-\frac{3}{2}t-7

7 0
2 years ago
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The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′
sveticcg [70]

ANSWER


The correct  answer is B


<u>EXPLANATION</u>

If we analyse the coordinates carefully, you realize there is a mapping of

(x,y)\rightarrow(-x,y)

This is a reflection in the y-axis.


Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle

PQR are congruent.



5 0
1 year ago
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