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yuradex [85]
2 years ago
6

Measure 4 gallons of water using a 3 gallon jar and a 5 gallon jar

Mathematics
2 answers:
vlada-n [284]2 years ago
8 0

Answer

Fill the 5 gallon jug.

Pour the 5 gallon jug into the 3 gallon jug.

Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.

Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)

Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.

V125BC [204]2 years ago
3 0

Answer:

use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar

Step-by-step explanation:

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1348.79 = 3.14 x 5.5^2 x H

1348.79 = 94.985 x h
h = 1348.79 / 94.985
h = 14.2 cm  ( round answer if needed)


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Suppose you have a mean standardized score of 1100 points with a standard deviation of 100 points. This data is normally distrib
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40 is what percent of 50
fredd [130]
40/50=0.8
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3 years ago
Read 2 more answers
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
Mama L [17]

Answer:

Explained below.

Step-by-step explanation:

The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

(a)

A sample of size 50.

Then the value of <em>k</em> will be: k=\frac{4502}{50}=90.04\approx 50

Thus, the value of <em>k</em> is 90.

(b)

Label the employees from 1 to 4502.

And select every 90th employee.

So, the individuals who will be administered the survey are:

90th, 180th, 270th,...

7 0
3 years ago
How do I construct angle XYZ with a measure of 2 times the measure of angle ABC
Serjik [45]
I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.


In this png, we have something to make sure.

∠B=∠DAB
∠
B
=
∠
D
A
B
(Yes, dab)

This also means AD=BD
A
D
=
B
D
.

This is our basic construction of D, which is going to help us.

∠ADC=∠DAB+∠B=2∠B=∠CAB
∠
A
D
C
=
∠
D
A
B
+
∠
B
=
2
∠
B
=
∠
C
A
B

∠CAD=∠CAB−∠DAB=∠B
∠
C
A
D
=
∠
C
A
B
−
∠
D
A
B
=
∠
B

These are based on the fact that ∠A=2×∠B
∠
A
=
2
×
∠
B

Actually these conditions suffice. Because I am just proving that △ACD∼△BCA
△
A
C
D
∼
△
B
C
A

Similarity makes us realize the following:

ACBC=ADAB
A
C
B
C
=
A
D
A
B

and

ACBC=CDAC
A
C
B
C
=
C
D
A
C

So

AC×AB=BC×AD
A
C
×
A
B
=
B
C
×
A
D

and

AC2=BC×CD
A
C
2
=
B
C
×
C
D

So

BC2=BC×(BD+CD)=BC×(AD+CD)
B
C
2
=
B
C
×
(
B
D
+
C
D
)
=
B
C
×
(
A
D
+
C
D
)

=AC×AB+AC2
=
A
C
×
A
B
+
A
C
2

Q.E.D.
2.4k Views ·
6 0
2 years ago
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