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3 years ago

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Michelle's checking account shows the following entries.

1 answer:

bezimeni [28]3 years ago

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5 2/3 divided by 4 = what?

olga nikolaevna [1]

Answer:

1 5/12

.........................

8 0

3 years ago

In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove th

olasank [31]

Answer:

See Below

Step-by-step explanation:

<u>Statements:</u> <u>Reasons:</u>

<u /> $1)\text{ } \Delta PQR\text{ is equilateral}$ Given

$2)\text{ }PQ=QR=RP$ Definition of Equilateral

$3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP$ Given

$4)\text{ } PX=XQ$ Definition of Midpoint

$5)PQ=PX+XQ$ Segment Addition

$6)\text{ } PQ=2XQ$ Substitution

$7)\text{ } QY=YR$ Definition of Midpoint

$8)\text{ }QR=QY+YR$ Segment Addition

$9)\text{ } QR=2QY$ Substitution

$10)\text{ } 2XQ=2QY$ Substitution

$11)\text{ } XQ=QY$ Division Property of Equality

$12)\text{ } XQ=PX=QY=YR$ Transitive Property

$13)\text{ } RZ=ZP$ Definition of Midpoint

$14)\text{ } RP=RZ+ZP$ Segment Addition

$15)\text{ } RP=2RZ$ Substitution

$16)\text{ } 2XQ=2RZ$ Substitution

$17)\text{ } XQ=RZ$ Substitution

$18)\text{ } XQ=PX=QY=YR=RZ=ZP$ Transitive Property

$19)\text{ } \angle Q\cong \angle R\cong \angle P$ Definition of Equilateral

$20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX$ SAS Congruence

$21)\text{ } XY\cong YZ\cong ZX$ CPCTC

$22)\text{ } \Delta XYZ\text{ is equilateral}$ Equilateral Triangle Theorem

5 0

3 years ago

Read 2 more answers

What is 2.4(1.8) as w in algebraic form.

julsineya [31]

Answer:

2.4*1.8W= 4.32

Step-by-step explanation:

3 0

3 years ago

Suppose a random sample of 25 students is selected from a community college where the scores in the final exam (out of 125 point

BartSMP [9]

Answer:

he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050

Step-by-step explanation:

mean = 112

sd = 12/sqrt(25) = 2.4

z = (x - μ)/σ

z = (116 - 112)/2.4 = 1.67

Therefore,

P(X >= 116) = P(z <= (116 - 112)/2.4)

= P(z >= 1.67)

= 1 - 0.9525

= 0.0475

z = (x - μ)/σ

z1 = (108 - 112)/2.4 = -1.67

z2 = (116 - 112)/2.4 = 1.67

Therefore, we get

P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)

= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)

= 0.9525 - 0.0475

= 0.9050

6 0

4 years ago

At Sara's new job she spent $11.52, $6.48, $5.99, $14.00, and $9.50 on lunch the first week. In the second week, she spent $4 mo

elena55 [62]

The total amount that Sara spent for her meals during the first week is,
$11.52 + $6.48 + $5.99 + $14.00 + $9.50 = $47.49
With an average of $9.498

During the second week, she spent $4 more making her total equal to $51.49. The average is equal to $10.298. The increase in the mean is equal to,
increase in mean = $10.298 - $9.498 = $0.8<span>Comments</span>

4 0

3 years ago

Read 2 more answers