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Alenkasestr [34]
2 years ago
9

Unlike scientists or statisticians, economists often break the range of a random variable into five parts, or quintiles. For a s

tandard normal distribution, what is the z-score that defines the second quintile, the 40% point? (a) 0.40 (b) -0.40 (c) 0.253 (d) -0.253 (e) -0.842
Mathematics
1 answer:
maxonik [38]2 years ago
4 0

Answer:

(d) -0.253

Step-by-step explanation:

According to a z-score table for a standard normal distribution, a z-score of -0.25 corresponds to the 40.13th percentile, and a z-score of -0.26 corresponds to the 39.74th percentile.

Interpolating those values gives us the z-score for the 40th percentile. The 40.13th percentile is twice as close to the 40th percentile than the 39.74th, thus:

z = -0.25*\frac{2}{3}-0.26*\frac{1}{3} \\z=-0.253

The answer is (d) -0.253.

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The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa
astraxan [27]

Answer:

same amount of money

Step-by-step explanation:

3 0
2 years ago
The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
2 years ago
The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot
Rainbow [258]

Complete Question: Check the file attached to this document to see the complete question

Answer:

P(X < 7) = 0.76

Step-by-step explanation:

Counting properly from the diagram attached to the question,

number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38

The total number of trials she made = 50

Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)

P(X < 7) = 38/50

P(X < 7) = 0.76

8 0
2 years ago
Given: NM ∥ XZ Prove: △XYZ ~ △NYM Triangles X Y Z and N Y M are shown. Triangle X Y Z is smaller and sits inside of triangle N Y
elena-s [515]

Answer:

Parallel

corresponding angles theorem

NYM

AA

Step-by-step explanation:  I DID IT ON EDGE! : )

We know that side NM is  _________________

✔ parallel

to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the  _____________

✔ corresponding angles theorem

, we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle  _____________

✔ NYM

by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the  _____________

✔ AA

 similarity theorem.

7 0
2 years ago
The sun subtend an angle at 35degree from the centre of the earth whose distant from the centre of the earth is 382,100km. Find
Sonbull [250]

Study the figure attached below:

Answer:

240951.33km      

Step-by-step explanation:

For this type of question first we need to draw the figure as shown in the attached file (Figure.1).

Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

tan(\theta )= \frac{perpendicular}{Base}

In the triangle ABC, perpendicular (opposite side to \theta ) is BC and base (Adjacent side) is AC

tan(\theta)=\frac{BC}{AC}

\theta=17.5 degree

AC=382100km

Putting the values, we get

tan(17.5)=\frac{BC}{382100}\\ \\BC=tan(17.5)*382100km\\\\BC=0.315*382100km\\\\BC=120475.66km

Diameter=d=2*Radius

As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.

Diameter of the sun=d=2*120475.66km

The\ diameter\ of\ the\ sun\ = 240951.33km

7 0
2 years ago
Read 2 more answers
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