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1 year ago

Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.

Mathematics

1 answer:

N76 [4]1 year ago

6 0

Answer:

$44000$

Step-by-step explanation:

Given the following question:

$80767-37291$

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.

$80767-37291$

$80767$

$7 > 5$

$81000$

$37291$

$2 < 5$

$37000$

$81000-3700=44000$

$=44000$

Hope this helps.

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Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand

SOVA2 [1]

Answer:

Question 1:

(a) P(x<60) = 0.9236

(b) P(x>16) = 0.9564

(c) P(16<x<60) = 0.88

(d) P (x>60) = 0.0764

Question 2:

(a) P(x<3) = 0.0668

(b) P(x>7) = 0.0062

(c) P(3<x<7) = 0.927

Step-by-step explanation:

Question 1:

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

σ = 14

(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

= P(z < 20/14)

= P(z<1.43)

Using the normal distribution probability table we can find the value of p at z=1.43.

P(z<1.43) = 0.9236

so, P(x<60) = 0.9236

(b) P(x>16) = P(z>(16-40)/14)

= P(z>-1.71)

= 1 - P(z<-1.71)

= 1 - 0.0436

P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

= P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

P(16<x<60) = 0.9236 - 0.0436

P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

we have calculated P(x<60) in part (a) so,

P(x>60) = 1 - 0.9236

P (x>60) = 0.0764

Question 2:

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

(a) P(x<3) = P(z<(3-4.5)/1)

= P(z<-1.5)

P(x<3) = 0.0668

(b) P(x>7) = 1 - P(x<7)

= 1 - P(z<(7-4.5)/1)

= 1 - P(z<2.5)

= 1 - 0.9938

P(x>7) = 0.0062

(c) P(3<x<7) = P(x<7) - P(x<3)

we have computed both of these probabilities in parts (a) and (b) so,

P(3<x<7) = 0.9938 - 0.0668

P(3<x<7) = 0.927

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2 years ago

here is the image of triangle ABC and its dilation using Center D and scale factor 2. Why is B'C' on the same line as its corres

GaryK [48]

Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

The following are the properties of dilation of the triangle:

1)measures of the angles will not change

2)The sides of the image of the triangle are multiplied by the scale factor 2.

So,

A'B'=2AB

B'C'=2BC

A'C'=2AC

Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .

To learn more about the Dilation from the given link

brainly.com/question/3457976

#SPJ1

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Suppose that 65% of all registered voters in a certain area favor a waiting period before the purchase of a handgun. Among 225 r

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Answer:

Step-by-step explanation:

225 x 0.65 = 135

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at Mountain Park Middle School there are 250 7th grade students currently 32% of those students are in advanced math

makkiz [27]

Answer:

students in the seventh grade have taken swimming lessons.

Explanation:

We calculate

250

using the following formula:

250

100

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Step-by-step explanation:

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