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icang [17]
3 years ago
13

Question 1

Mathematics
1 answer:
natima [27]3 years ago
6 0

Answer:

Yes, her reasoning is correct

Step-by-step explanation:

Given the ratio:  109.2 : 6

Written in fractional form, we have:

109.2: 6=\dfrac{109.2}{6}

Now:

\dfrac{109.2}{6}=\dfrac{109.2}{6}X1, $  Let 1=\dfrac{10}{10}, \\\\=\dfrac{109.2}{6}X\dfrac{10}{10}\\\\=\dfrac{1092}{60}

Therefore, the student's reasoning is correct. In fact, as a check:

\dfrac{109.2}{6}=18.2\\\\\dfrac{1092}{60}=18.2

We would obtain the same result in both cases.

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Suppose that 7 female and 5 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at ra
katen-ka-za [31]

Answer:

(a) 350

(b) 175

(c) 21

(d) 196

Step-by-step explanation:

Number of females = 7

Number of males = 5

Total ways of selecting r items from n items is

^nC_r=\dfrac{n!}{r!(n-r)!}

(a)

Total ways of selecting 3 females and 2 males.

\text{Total ways}=^7C_3\times ^5C_2

\text{Total ways}=\dfrac{7!}{3!(7-3)!}\times \dfrac{5!}{2!(5-2)!}

\text{Total ways}=35\times 10

\text{Total ways}=350

(b)

Total ways of selecting 4 females and 1 male.

\text{Total ways}=^7C_4\times ^5C_1

\text{Total ways}=32\times 5

\text{Total ways}=175

(c)

Total ways of selecting 5 females.

\text{Total ways}=^7C_5\times ^5C_0

\text{Total ways}=21\times 1

\text{Total ways}=21

(d)

Total ways of selecting at least 4 females.

Total ways = 4 females + 5 females

\text{Total ways}=175+21

\text{Total ways}=196

6 0
3 years ago
What is the focus of the parabola? <img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E%7B2%7D%20-x%2B3" id="Te
OlgaM077 [116]
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
 the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)
3 0
3 years ago
Read 2 more answers
If i walk 4 miles per hour how long will it take to walk a mile
fiasKO [112]
Hi there! The answer is 15 minutes.

Walking 4 miles per hour means that it takes you 60 minutes to walk 4 miles. To find the time it takes you to walk 1 mile, we must divide both sides by 4.

4 miles equals 60 minutes.
1 mile equals 60 / 4 = 15 minutes.

The answer is 15 minutes.
4 0
3 years ago
5. Determine the value of every variable in the rhombus below.
Zina [86]

Answer:

m = 160

p = 90

w = 10

z = 80

y = 10

Step-by-step explanation:

7 0
2 years ago
Please answer the question in the photo that I have attatched. Please also explain how to solve it so I may solve the others.
Svet_ta [14]
Use Pythagorean theron: a^2 + b^2 = c^2
8 0
3 years ago
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