MATHEMATICS COLLEGE

Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percenterror? Use the table below to help answer the question
Percent Error
Item
Books
Approximate
value
75
Exact value
95
Ratio
Error
-20
Absolute error
20
Percent error
(100)
.
元
(100)

Answers

Answer 1
Answer:

Percent error = |actual error - expected error/ expected error| * 100%

(|75-95|)/95 = 0.21

0.21 * 100% = 21% error

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I don’t know if it’s g(2(5)(3(5)^2-5-5

Answers

Answer:

  B.  135

Step-by-step explanation:

For ...

  • f(x) = 3x^2 -x
  • g(x) = 2x -5

f(5) = 3·5^2 -5

   = 3·25 -5 = 75 -5 = 70

Then g(f(5)) is ...

  g(f(5)) = g(70) = 2·70 -5 = 140 -5

  g(f(5)) = 135 . . . . . matches choice B

Suppose a simple random sample of size nequals64 is obtained from a population with mu equals 88 and sigma equals 8. ​(a) Describe the sampling distribution of x overbar. ​(b) What is Upper P (x overbar greater than 89.7 )​? ​(c) What is Upper P (x overbar less than or equals 85.7 )​? ​(d) What is Upper P (87.35 less than x overbar less than 90.5 )​?

Answers

Answer:

a) \bar X \sim N (\mu, (\sigma)/(√(n)))

With:

\mu_(\bar X)= 88

\sigma_(\bar X)= 8

b) z=(89.7-88)/((8)/(√(64)))= 1.7

P(Z>1.7) = 1-P(Z<1.7) =1-0.955=0.0446

c) z =(85.7-88)/((8)/(√(64)))= -2.3

P(Z<-2.3) = 0.0107

d) z =(87.35-88)/((8)/(√(64)))= -0.65

z =(90.5-88)/((8)/(√(64)))= 2.5

P(-0.65<z<2.5)=P(Z<2.5)-P(Z<-0.65) =0.994-0.258 = 0.736

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

\mu = 88, \sigma = 8

We select a sample size of n = 64

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sample mean on this case would be:

\bar X \sim N (\mu, (\sigma)/(√(n)))

With:

\mu_(\bar X)= 88

\sigma_(\bar X)= 8

Part b

We want this probability:

P(\bar X>89.7)

We can use the z score formula given by:

z = (\bar X -\mu)/((\sigma)/(√(n)))

And if we find the z score for 89.7 we got:

z=(89.7-88)/((8)/(√(64)))= 1.7

P(Z>1.7) = 1-P(Z<1.7) =1-0.955=0.0446

Part c

P(\bar X<85.7)

We can use the z score formula given by:

z = (\bar X -\mu)/((\sigma)/(√(n)))

And if we find the z score for 85.7 we got:

z =(85.7-88)/((8)/(√(64)))= -2.3

P(Z<-2.3) = 0.0107

Part d

We want this probability:

P(87.35 <\bar X< 90.5)

We find the z scores:

z =(87.35-88)/((8)/(√(64)))= -0.65

z =(90.5-88)/((8)/(√(64)))= 2.5

P(-0.65<z<2.5)=P(Z<2.5)-P(Z<-0.65) =0.994-0.258 = 0.736

162:53:55AD and MN are chords that intersect at point B.

A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.

What is the length of line segment MN?

4 units
6 units
18 units
24 units

Answers

Answer:18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

edg B)

What is the reason for statement 5 in this proof?Given: ΔABC, where AB = BC (view diagram)
Prove: m∠BAC=m∠BCA

Statement
Reason
1. Let ΔABC be an isosceles triangle with
AB = BC.

given

2. Create point D on side AC¯¯¯¯¯ so BD¯¯¯¯¯ bisects
∠ABC.

constructing an angle bisector

3. m∠ABD=m∠CBD

definition of angle bisector

4. BD = BD

Reflexive Property of Equality

5. ΔABD≅ΔCBD



6. m∠BAC=m∠BCA

Corresponding angles of congruent triangles have equal measures.


A. ASA

B. SSS

C. AAS

D. SAS

Answers

You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

Answer:

The correct option is D) SAS

Step-by-step explanation:

Consider the provided statement.

SAS Similarity Theorem: If two sides of a triangle are proportional to the two sides of another triangle and the included angle in both are congruent, then the two triangles are similar.

Statement 1: Let ΔABC be an isosceles triangle where AB = BC.

Reason 1: Given

Statement 2: Create point D on so that bisects ∠ABC as shown.

Reason 2: Constructing an angle bisector.

Statement 3: m∠ABD = m∠DBC

Reason 3: Definition of angle bisector

Statement 4: BD = BD

Reason 4: Reflexive Property of Equality

Statement 5: ΔABD ≅ ΔCBD

Reason 5: SAS

Statement 6: m∠BAC = m∠BCA

Reason 6: Corresponding angles of congruent triangles are equal.

From Reflexive Property of Equality we know BD=BD, m∠ABD = m∠DBC definition of angle bisector and AB = BC, which follows the Side angle side (SAS) similarity.

Find AC
What Is The Equation To AC?

Answers

Given:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

Length of AC:

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=(adj)/(hyp)

Where the value of \theta is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

cos \ 65^(\circ)=(AC)/(AB)

Substituting AB = 7, we have;

cos \ 65^(\circ)=(AC)/(7)

Multiplying both sides by 7, we get;

cos \ 65^(\circ) * 7=AC

  0.423 * 7=AC

        2.961=AC

Rounding off to the nearest hundredth, we get;

2.96=AC

Thus, the length of AC is 2.96 units.

8 pencils and one eraser cost $1.35 and 6 pencils and one eraser cost $1.05. How much does one pencil cost?

Answers

Answer:

one pencil cost  $0.15

Step-by-step explanation:
Answer: $0.15 and/or 15 cents

Explanation: If you use common sense, information provided, and basic math, you notice that after 2 pencils were removed the total cost dropped 30 cents/$0.30; therefore, after 2 pencils are taken away the cost drops 30 cents and to find the price for one pencil all you have to do is divide 30/2 and you get 15 cents and/or $0.15.
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