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3 years ago

What is triangle ABC ? (line segments)

Mathematics

1 answer:

Bess [88]3 years ago

7 0

Triangle ABD and ADC are righttriangles so u can use the Pythagorean theorem/triples. the triples are 3/4/5 and 5/12/13. 12 is 4x3, and 15 is 5x3, so BD is 3x3, which is 9. AC is 13, as it is part of the Pythagorean’s triples

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2 1/2 + 2 1/3 + 3 2/3

IrinaVladis [17]

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

6 0

3 years ago

Work out the sum of 1 4 , 4 8 and 2 3 . Give your answer as a mixed number in its simplest form

belka [17]

Answer:

1 2/3

Step-by-step explanation:

Given :

Find the sum of 1/2, 4 /8 and 2 /3

1/2 + 4/8 + 2/3

L.c.m = 24

(12 + 12 + 16) / 24

40 / 24

= 1 16/24

= 1 2/3

6 0

2 years ago

Simplify the expression -4+11

11111nata11111 [884]

Answer:

Step-by-step explanation:

-4 +11 is saying that assuming if a person owe 4 dollars and his friend gives him 11 dollars that he will pay back the four dollars and still have 7 dollars left

3 0

3 years ago

Four students are playing a math game at home. One of the math

BigorU [14]

Kayla wrote an equation.
William wrote an inequality.
They both have solutions.
Kayla's solution is x=4 .
William's solution is x > -2.5 .

Brandon and Alice wrote expressions.
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7 0

3 years ago

Read 2 more answers

Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0

2 years ago