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Montano1993 [528]

3 years ago

15

What is the volume of a frustum of a right pyramid with the area of the lower base square to 100 square inches, the area of the

upper base equal to 25 square inche,and the altitude equal to 12 inches

1 answer:

otez555 [7]3 years ago

7 0

Answer:

1

Step-by-step explanation:

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line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image

Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

$(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)$

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

$(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)$

$(0,-4)\rightarrow (0, 6)$

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6

5 0

3 years ago

Imagine that you have developed a genetic test to detect the dominant allele (A) that cause a rare genetic condition. As with mo

s344n2d4d5 [400]

Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = the test is positive.

<em>A</em> = a person with the dominant allele

The information given are:

$P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01$

According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:

$P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

Use this law to compute the probability of person having a positive result as follows:

$P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495$

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

4 0

3 years ago

How many different values can an algebraic expression like 5+(x+2)

elena-14-01-66 [18.8K]

wb. lnehiu gliaghjnkmnafvgsbhdnjfnmydabgshdnjmfkg

5 0

3 years ago

What's 3570 divided by 7

mart [117]

Answer:

510

Step-by-step explanation:

$\frac{3570}{7}$ = 510

7 0

3 years ago

Read 2 more answers

G Blue Ribbon taxis offers shuttle service to the nearest airport. You look up the online reviews for Blue Ribbon taxis and find

Dominik [7]

Answer:

This is a biased sampling method for obtaining customer opinions because those who take the time to write an online review are likely to do so because they are upset with the service they received.
The direction of the bias is likely to overestimate the proportion of customers who have a negative opinion on the service.

Step-by-step explanation:

1) There are groups which are not represented in the survey like those who don't use web. And also those who take the time to write an online review are likely to do so because they are upset with the service they received.

2) Those who had negative experience are more likely to write a review than those who had not.

4 0

3 years ago