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a_sh-v [17]
3 years ago
13

A lake has 7 more ducks than fish. there are 8 fish. how many ducks are there?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0
7 more ducks per fish. if there are 8 fish, there would be 7 ducks for each of the fish. 7 ducks × 1 fish = 7 ducks. 7 ducks × 8 fish = 56 ducks
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The population mean annual salary for environmental compliance specialists is about ​$63 comma 500. A random sample of 31 specia
Nat2105 [25]

Answer:

0.0035289

Step-by-step explanation:

From the question;

mean annual salary = $63,500

n = sample size = 31

Standard deviation = $6,200

Firstly, we calculate the z-score of $60,500

Mathematically;

z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941

So we want to find the probability that P(z < -2.6941)

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3 0
3 years ago
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Answer:

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3 years ago
Read 2 more answers
Combine the following sets of terms.
DanielleElmas [232]

Let's simplify step-by-step To understand :)

3x2−7x−(x2+3x−9)

Distribute the Negative Sign:

=3x2−7x+−1(x2+3x−9)

=3x2+−7x+−1x2+−1(3x)+(−1)(−9)

=3x2+−7x+−x2+−3x+9

Combine Like Terms:)

=3x2+−7x+−x2+−3x+9

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Answer :)

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HOPE THIS HELPS

3 0
3 years ago
Find k such that f(x) is continuous at x=30
Maru [420]

Answer:

this is correct

Step-by-step explanation:

f continous in x=30 means that it should be the same value for 1.25 x 30 and 1.10 x 30 + k so k =4.5

5 0
3 years ago
Round to the nearest tenth.
laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

<u>Recall the Law of Cosines</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)

<u>Identify angles and sides</u>

<u />m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6

<u>Solve for side "a"</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2

Therefore, the length of line segment BC is about 8.2 units

8 0
2 years ago
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