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3 years ago

Tim answers 7 out 8 questions correctly.At this rate, how many questions will he answer correctly out of 96.

1 answer:

5 0

$\bf \begin{array}{ccll} \stackrel{correct}{answers}&questions\\ \cline{1-2} 7&8\\ x&96 \end{array}\implies \cfrac{7}{x}=\cfrac{8}{96}\implies \cfrac{7}{x}=\cfrac{1}{12} \implies 84=x$

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Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that i

Allisa [31]

<span>The correct answer is option B. i.e. Both equation 1 and 2 have the same number of solutions. The equation 1 is |5x+6| = 41 By removing the modulus sign we get, 5x + 6 = 41 and 5x +6 = -41. Solving, 5x = 6 = 41 we get, 5x = 35 or x = 7. And, on solving 5x +6 = -41 we get, 5x = -47 or x = 9.4 Now. the second equation is |2x+13| = 28 By removing the modulus sign we get, 2x+ 13 = 28 and 2x +13 = -28. Solving, 2x = 28 -13 = 15 or x = 7.5 . And, on solving 2x +13 = -28 we get, 2x = -41 or x = -20.5.TH </span>

4 0

3 years ago

Please help me with the answer I keep getting it wrong

Vsevolod [243]

First because it's a broken line we know it's an inequality.

next we find the slope we can take points (0,4) and (2,0) thus (y2-y1)÷(x2-x1)

substituting any value of x for either x1 or x2 and any value of y for y1 and y2 we can get

slope is -2

so now we can take either points to find the equation by the formula

y-yo=m (x-xo) where m is slope

after substitution we can get

y-4=-2 (x-0)

y=-2x+4

3 0

3 years ago

Roger's Cafe has usual daily earnings of $800. Today, the cafe earned 120% of the usual daily earnings. How much did they earn t

riadik2000 [5.3K]

Answer:

960

Step-by-step explanation:

Over here, I'm going to do it in two ways, and either way works, one is just easier to do out:

1st way:

You can represent the percent 120 as a decimal which is 1.20, then you do 800*1.2.

2nd way:

You can use benchmark percents. You find 10 percent of 800 which is 80 and multiply 80 by 2 to get 160, so 20% is 160 dollars. Then you add 160 to 800 (800+160) and get 960.

Please tell me if you have any questions.

8 0

3 years ago

The formula for the area,A, of a trapezoid is shown below, where ݄H represents its height and b1 and b2

emmainna [20.7K]

One equivalent is $A=h( \frac{ b_{1}+b_{2} }{2})$

Another example is $A= \frac{(b_{1}+b_{2})(h)}{2}$

4 0

3 years ago

An e-commerce research company claims that 60% or more graduate students have bought merchandise on-line at their site. A consum

Rasek [7]

Answer:

We accept H₀ we don´t have enough evidence to conclude that a consumer group position is correct

Step-by-step explanation:

We have a case of test of proportion, as a consumer group is suspicious of the claim and think the proportion is lower we must develop a one tail test (left tail) Then

1.- Test hypothesis:

Null hypothesis H₀ P = P₀

Alternative hypothesis Hₐ P < P₀

2.- At significance level of α = 0,05 Critical value

z(c) = -1,64

3.-We compute z(s) value as:

z(s) = ( P - P₀ )/ √P*Q/n where P = 44/80 P = 0,55 and Q = 0,45

P₀ = 0,6 and n = 80

Plugging all these values in the equation we get:

z(s) = ( 0,55 - 0,6 ) / √(0,2475/80)

z(s) = - 0,05/ √0,0031

z(s) = - 0,05/0,056

z(s) = - 0,8928

4.-We compare z(s) and z(c)

z(s) > z(c) -0,8928 on the left side it means that z(s) is in the acceptance region so we accept H₀

7 0

3 years ago