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victus00 [196]
2 years ago
12

Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2

Mathematics
1 answer:
Leona [35]2 years ago
4 0

Answer:

Solutions:

x=-7

x=4

Step-by-step explanation:

(x-2)(x + 5) = 18

Expanding the factored form:

x^2+5x-2x-10=18

x^2+3x-28=0

Factoring the second-degree polynomial:

(x+7)(x-4)=0

This is true for

x=-7 \text{ or } x=4

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A tooth-whitening gel is to be tested for effectiveness. A group of 85 adults have volunteered to participate in the study. Of t
Lina20 [59]

Answer:

(a) 3, 5 and 6

Step-by-step explanation:

In the experiment, 43 are to be given a gel that contains the tooth-whitening chemicals while the remaining 42 are to be given a placebo. Therefore, a placebo is used.

The 43 that will receive the gel are to be selected randomly.

After the experiment, the whiteness of the two groups will be compared to see the effect of the gel.

Therefore for the experiment to be completely random,  3, 5, and 6 apply.

(b)

For the experiment to be double-blind, the researchers who will evaluate the whiteness and interact with the subjects, and the subjects would not know which subjects received either the whitening gel or the placebo.

5 0
2 years ago
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap
Delvig [45]

Answer:

98% confidence interval is (-0.105 , 0.265)

Step-by-step explanation:

n1 = 75          n2 = 75

X1 = 48          X2 = 42

P1 = X1/N1 = 0.64          P2 = X2/N2   = 0.56

98% confidence interval for difference between two proportions is :

P1 - P2  <u>+</u>   Z \sqrt{P1 (1-P1)/n1  + P2 (1-P2)/n1}

= 0.08 <u>+</u> 0.185

= (-0.105 , 0.265)

98% confidence interval is (-0.105 , 0.265)

4 0
2 years ago
Select all that justify the following statement. 8•1/8+(-1)+5=5
Lisa [10]

The statments that justify this eqaution would be:

inverse - addition

inverse - multiplication

7 0
2 years ago
Read 2 more answers
$84 increased by 12% Use the percent of change to find the mew amount
11111nata11111 [884]
84 increased by 12% of 84 = (1)84 + (0.12)84, or (1.12)84 = $94.08
7 0
2 years ago
When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl
kakasveta [241]

Answer:

The time taken from start to finish is 48 minutes.

Step-by-step explanation:

Given : When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times slower than Max on his hoverboard. They took off on hoverboards at the same time, but after 12 minutes, Victoria’s hoverboard broke and she immediately started to run.

To find : How long, in minutes, did it last from start to finish?

Solution :

Distance = Speed × Time

Let the speed of Max = s

Time taken = t

At 12 minutes,

Distance covered by Max = s\times12=12s

Victoria is 3 times as fast as her brother Max.

Distance covered by Victoria = 3\times s\times12=36s

After 12 minutes,

Victoria’s hoverboard broke and she immediately started to run.

When Victoria is on foot, she is 3 times slower than Max on his hoverboard.

Distance covered by Max = s\times(t-12)=(t-12)s

Distance covered by Victoria = \frac{s}{3}\times(t-12)=\frac{(t-12)s}{3}

Since the race was a tie, then

Total distance of Max = Total distance of Victoria

12s+(t-12)s=36s+\frac{(t-12)s}{3}

s(12+(t-12))=\frac{s(96+t)}{3}

t=\frac{96+t}{3}

3t=96+t

2t=96

t=48

The time taken from start to finish is 48 minutes.

7 0
2 years ago
Read 2 more answers
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