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Nina [5.8K]
2 years ago
15

Even beater question

Mathematics
1 answer:
Lelechka [254]2 years ago
8 0

In the diagram, the width of the given rectangle is 15 cm

<h3>Determining the width of rectangle</h3>

From the question, we are to determine the width of the given rectangle

In the given diagram, we can observe that

The length of the rectangle will contain 6 identical squares if arranged linearly

∴ Length of rectangle = 6 squares

From the given information,

Length of the rectangle = 18 cm

∴ Length of a square = 18 cm / 6

Length of a square = 3 cm

Also,

If arranged vertically, the width of the rectangle will contain 5 of the identical squares

∴ Width of the rectangle = 5 × 3 cm

Width of the rectangle = 15 cm

Hence, the width of the given rectangle is 15 cm

Learn more on Calculating width of rectangle here: brainly.com/question/6843877

#SPJ1

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Eighty percent of the students in a class (group A) share 40% of the candy equally. The remaining 20% of the students (group B)
mestny [16]

Answer:

1/6

Step-by-step explanation:

There is x candy in total and y students in total.

Group A consists of 0.8y students, and group B consists of 0.2y students.

Group A gets 40% of x, or 0.4x. Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.

Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.

The ratio of candy each student in group A has to the amount of candy each student in group B has is:

(0.5x/y)/(3x/y) = 0.5/3 = 1/6

4 0
4 years ago
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Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the S
goldenfox [79]

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

4 0
3 years ago
Read 2 more answers
HELPPPPPPPP MEEEEE PLEASEEEE
scoundrel [369]

Step-by-step explanation:

a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.

given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.

that means for ACDF that the sides DC and FA are equally long.

DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.

based on the SAS criteria this confirms that DF is congruent to AC.

the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.

so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have

360 = 4×angle

angle = 90 degree.

so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle

3 0
3 years ago
Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.
Natali5045456 [20]

Answer:

a) X\sim(27293,(7235)^2)

b) 0.1567

c) P_{70}=31084.14

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)

Calculation the value from standard normal z table, we have,  

P(x < 20000) = 0.1567

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14  

The 70th percentile for the distribution of college cost is $31,084.14

4 0
3 years ago
Help pls, do and workout number 5
Vlada [557]

322/14 = 23

322 / 14

14 cannot go into 3, so 14 can go into 32 twice,

32-28 = 4 drop the 2

42. 14 can go into 42 3 times

42-42 = 0


Your answer is 23

8 0
3 years ago
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