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4 years ago

A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?

2 answers:

alexandr1967 [171]4 years ago

6 0

Let the cost price of bench be x
then cost price of garden table is x+35

total cost = x + x+35
985 = 2x +35
985 -35÷2 =x
425 =×
then the total cost of bench is 425 and garden is 460

Papessa [141]4 years ago

3 0

985-35=950, 950÷2=475, 475+35=510, 510 and 475

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A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he

Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 trials, the touch therapists were correct 105105 times.

Let p = proportion that touch therapists uses a random guess method.

Here, random guess means; p = 50%

So, Null Hypothesis, $H_0$ : p = 50% {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, $H_A$ : p $\neq$ 50% {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of touch therapists were correct = $\frac{105}{264}$ = 0.39

n = sample of trials = 264

So, test statistics = $\frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }$

= -3.395

The value of z test statistics is -3.395.

Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are effective.

3 0

3 years ago

VerZion sells the iPhone X for $899. If the monthly plan for service is $65 per month what is the linear equation for the cost o

geniusboy [140]

899$ is the y intercept because that is your starting value. Then, 65 is your slope. (Rise 65, run 1). After 24 months, the total cost will be 2459$. This is because 24 • 65 = 1560. This is your total cost of phone service. Then, you need to add the phone. 1560 + 899 = 2459. So you total cost is 2459.

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3 years ago

Someone please help me on this I'm unsure if my answer is correct

mafiozo [28]

Answer:

A. length = 23 cm; width = 5 cm

Step-by-step explanation:

So if 4 times the width would be $4w$ and 3 more than would be $+ 3$ , the equation would be $l = 4w + 3$ . If the perimeter is 56, then the new equation, $2(4w + 3) + 2(w) = 56$ can be formed. This simplifies to $8w + 6 + 2w = 56$ , then to $10w + 6 = 56$ , then to $10w = 50$ , and finally, $w = 5$ . So the width is 5, and now plug it into the first equation.

$l = 4(5) + 3$ , becomes $l = 20 + 3$ , becomes $l = 23$ .

So the dimensions are: length = 23 cm, width = 5 cm.

*And just to be sure, $2(23 + 5) = 2(28) = 56$ which is correct.

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3 years ago

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Bezzdna [24]

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3 years ago

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Vesnalui [34]

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3 years ago