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Troyanec [42]
2 years ago
8

Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” Lin also looks

at the box. She says: “I think the number of paper clips in the box is more than 500.”
Write an inequality to show Andre's statement, using p for the number of paper clips.
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
7 0

Answer:

<em>500 </em>\leq<em> </em><em>p </em>\leq<em> </em><em>1000</em>

Step-by-step explanation:

Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the \leq (less than or equal to)

Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000

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Luda [366]

Answer:D I think might be wrong

Step-by-step explanation:

8 0
2 years ago
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Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s
Viktor [21]

Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

All circles are similar figures

step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

so

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

10/2=5

so

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

3 0
3 years ago
4x^2-16x-5 can be written in vertex form f(x)=a(x-h)^2+k.<br> What are the values of a,h, and k.
Hunter-Best [27]

Answer:

h=2

a=4

k= -21

Step-by-step explanation:

your h and k are vertex . h= x coordinate of vertex and k= y

so formula for vertex coordinates is x= -b/2a and y= (4ac-b²)/4a

your a b c are 4 -16 and -5 respectively according to the main equation

your a is concavity which is the same number as the 'a' of the equation

5 0
3 years ago
What does it mean when sampling is done without​ replacement? Choose the correct answer below. A. Once an individual is​ selecte
solmaris [256]

Answer:

The correct option is A) Once an individual is​ selected, the individual cannot be selected again.

Step-by-step explanation:

Consider the provided statement.

Without​ replacement mean each population sample unit has only one opportunity in the sample to be chosen.

For example:

If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.

Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.

Hence, we can say that once an individual is​ selected, the individual cannot be selected again.

Thus, the correct option is A) Once an individual is​ selected, the individual cannot be selected again.

8 0
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199 and 201
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3 0
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