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2 years ago

What is the area of this trapezoid?

Mathematics

2 answers:

andre [41]2 years ago

5 0

Answer:

168in2

Step-by-step explanation:

I hope this helps...

sashaice [31]2 years ago

3 0

Answer:

A = 192 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 12, b₁ = AB = 14 and b₂ = DC = 2 + 14 + 2 = 18, then

A = $\frac{1}{2}$ × 12 × (14 + 18) = 6 × 32 = 192 in²

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago

elisa owns 28% of the grudman corporations . The rest of the shares are owned equally by the remaining six share holders . what

dolphi86 [110]

OK so there is 72% of the company left to share. Divide that by six you get 12.

Each shareholder has 12% of the company.

7 0

2 years ago

Read 2 more answers

The quotient of x and 7 is equal to 13. Define variable and then write an expression to model the situation

wolverine [178]

X = the dividend

x ÷ 7 = 13
x = 13x7
x = 91

6 0

3 years ago

Philip is recording what kind of shoes people are wearing at the mall. Out of the 12 people he has seen, 6 are wearing high heel

Ronch [10]

Answer: 5 people

Step-by-step explanation:

The easiest way to do this is to set up a proportion. 6/12=x/10. To solve, cross-multiply and divide. Multiply 6 and 10 (6*10=60) and divide by 12 (60/12=5).

You can also find that 6/12 is equal to 1/2 by dividing each side by 6. Then multiply 10 by 1/2 (or divide 10 by 2) to get the final answer of 5 people.

8 0

3 years ago

Read 2 more answers

The line models Maria's saving account. She started with 7 in her account. She saves three each day. Write an equation for the l

artcher [175]

Answer:

y=7+3x

Step-by-step explanation:

Since she already has 7 in her account and she ADDS 3 more each day you would multiply 3 by x which represents the number of days and add that to seven because she already had it. This would equal to Y which represents the total in her account

8 0

3 years ago