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s2008m [1.1K]
3 years ago
6

11. A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is

37, how many tiles cover the floor
Mathematics
1 answer:
natita [175]3 years ago
6 0

361 congruent square tiles would be needed to cover the square shaped floor.

<h3>Equation</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Since the number of tiles lying on both diagonals is 37. Let x represent the number of tiles on each side.

Counting one tile twice, there are:

  • 37=2x-1
  • x=19 tiles on each side.

19² = 361

361 congruent square tiles would be needed to cover the square shaped floor.

Find out more on Equation at: brainly.com/question/2972832

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About one eighth of the population is left-handed. In what size school would you expect to find about 50 left-handed students?
Juliette [100K]

Answer:

400 students, 1/8 are left handed

Step-by-step explanation:

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2 years ago
Help me with my math quiz from friday 4/1 <br> SHOW STEPS
malfutka [58]

Hie!! I will be solving the questions in the sequence of the attachments.

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4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

\rightarrow\sf{7x - 4=87}

\rightarrow\sf{7x =87+4}

\rightarrow\sf{7x =91}

\rightarrow\sf{x =\frac{91}{7}}

\rightarrow\boxed{\bf{x =13}}

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5. radius = 17ft

circumference of circle = 2πr

\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}

\rightarrow\boxed{\bf{circumference=106.8ft}}

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3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

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2. 160° + (6x - 16)° = 180° (linear pair)

\rightarrow\sf{6x - 16 = 180-160}

\rightarrow\sf{6x - 16 = 20}

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8 0
2 years ago
Brad buys a jacket that is on sale for 30% off the original price.The expression p - 0.3p can be used to find the sale price of
attashe74 [19]

Answer:

$56

Step-by-step explanation:

The jacket is on sales for 30% off the original price = (0.3)

The original price (P) = $80

However, the expression "p - 0.3p" is to be used to find the sales price

The sale price = p - 0.3p

The sale price = $80 - 0.3($80)

The sale price = $80 - $24

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3 0
3 years ago
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

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