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stiks02 [169]
3 years ago
10

A 35 foot ladder is set against the side of the house so it reaches up 21 feet if the ladder at its base and pulls it 4 feet far

ther from the house how far up the side of the house will the ladder reach now
Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0

Answer:

=14.2

Step-by-step explanation:

a^2 + b^2 = c^2

21 ^2 + x ^2 = 35^2

= 28

28 + 4 = 32

The side with 21 then becomes the new x

x/a =

=14.2

Reil [10]3 years ago
5 0

Answer:

The answer might be 25 feet

Step-by-step explanation:

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Lance and Brandon purchased items at the sporting goods store and spent the same amount of money. Lance bought 18 shirts for his
Shtirlitz [24]

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

Stay curious!

7 0
4 years ago
Angel bought 4 packages of streamers for 0.79$ each,2 rolls of wrapping paper for $3.99 each, a pair of good scissors for $12.18
kirill115 [55]
4*0.79+2*3.99+12.18+3*4.12 =35.68
including tax it's 35.68+ 8%of 35.68=35.68 +(8*35.68/100)=35.68+2.8544=38.5344$
7 0
3 years ago
A recent report at a particular college said that 5425 students are taking math this semester, which
Kaylis [27]

Answer:

6236 students (to the nearest whole)

Step-by-step explanation:

\frac{5425}{0.87} \approx 6236

7 0
2 years ago
Read 2 more answers
A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when
Genrish500 [490]

Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

a)

given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

ME = Zc * σ \sqrt{n}

ME = 1.96 * 3 \sqrt{25}

ME = 1.18

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})

CI = (57.12 , 59.48)

b)

Given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

ME = zc * σ \sqrt{n}

ME = 1.96 * 3\sqrt{100}

ME = 0.59

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})

CI = (57.71 , 58.89)

c)

sample mean, \bar X = 58.3

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

ME = Zc * σ \sqrt{n}

ME = 2.58 * 3\sqrt{100}

ME = 0.77

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}

CI = (57.53 , 59.07)

D)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

n \geq (zc *σ/E)^2

n = (2.58 * 3/0.5)^2

n = 239.63

7 0
4 years ago
Elisa withdrew $24 at a time from her bank account and withdrew a total of $192. Frances withdrew $46
N76 [4]

Answer: Elisa

Step-by-step explanation: the first one did 8 withdraws the second one did 5 withdraws

(divide the total by the amount withdrawn each time)

7 0
4 years ago
Read 2 more answers
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