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3 years ago

6

Write the formula for the area of a triangle, A=1/2bh in terms of h. Find the height of a triangle when A = 18 in. squared and b

=9 in.

1 answer:

Elena L [17]3 years ago

5 0

The height of the given triangle is

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In a study of the accuracy of fast food drive-through orders, one restaurant had 34 orders that were not accurate among 371 ord

postnew [5]

Answer:

The claim that he rate of inaccurate orders is equal to 10% is supported by statistical evidnece at 5% level

Step-by-step explanation:

Given that in a study of the accuracy of fast food drive-through orders, one restaurant had 34 orders that were not accurate among 371 orders observed.

Sample proportion $p=0.092\\q=1-p = 0.908\\n = 371$

$H_0: p =0.10\\H_a: p \neq 0.10$

(Two tailed test at 5% significance level)

p difference = $0.092-0.100\\=-0.0084$

Std error if H0 is true = $\sqrt{\frac{0.1(0.9)}{371} } \\=0.016$

Test statistic Z = p diff/std error

=0.539

p value = 0.5899

Since p > 0.05 accept null hypothesis

The claim that he rate of inaccurate orders is equal to 10% is supported by statistical evidnece at 5% level

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3 years ago

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3 years ago

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djverab [1.8K]

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Step-by-step explanation:

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2 years ago

Which pairs of angles are supplementary? A) ∠BCD and ∠BAD B) ∠BCD and ∠ABC C) ∠BCD and ∠CDA D) ∠ABC and ∠BAD

Bogdan [553]

<span>∠ABC ∠BAD is the correct answer

</span>

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3 years ago

The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to

satela [25.4K]

Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

$\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\ \\ \Rightarrow y-2=-7x \\ \\ \Rightarrow y=-7x+2$

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

$\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\ \\ \Rightarrow y-1=2(x-4)=2x-8 \\ \\ \Rightarrow y=2x-7$

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is (1, -5)

Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).

Part C:

From part A, we have that p(x) = -7x + 2, given that $g(x) = 1 + 1.5^x$

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

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4 years ago