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ad-work [718]
2 years ago
10

Dale has three dollars more than twice the amount of money that Leo has. Which statement makes this comparison using the correct

variable expression? If Leo has d dollars, then dale has 2(3)+Ddollars. If Leo has d dollars, then dale has 2d+3 dollars. If Leo has d dollars, then dale has d+2+3dollars. If Leo has d dollars, then dale has d/2+3 dollars.
Mathematics
2 answers:
Elenna [48]2 years ago
6 0

The answer would be: If Leo has d dollars, then dale has 2d+3 dollars.

Hope this helps!

Aneli [31]2 years ago
3 0

Answer:

Option b)  If Leo has d dollars, then Dale has 2d + 3 dollars.  

Step-by-step explanation:

We are given the following information in the question:

Let Leo has d dollars.

It is given Dale has three dollars more than twice the money Leo has.

Thus, according to the question Dale's money can be expressed with the help of an equation:

\text{Dale's money} = 3 + 2\times \text{Leo's money}\\\text{Dale's money} = 3 + (2\times d) = 3 + 2d

Thus, option b) is the correct representation of Dale's money.

If Leo has $d, the, Dale have $(3 + 2d).

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Answer:

I usually try and practice changing my mindset. Just try to look at things from another perspective, and if you can't, try thinking the OPPOSITE of what you thought.

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2 years ago
A museum conducts a survey of its visitors in order to assess the popularity of a device which
Natali5045456 [20]

Answer:

i:

The appropriate null hypothesis is H_0: p \geq 0.2

The appropriate alternative hypothesis is H_1: p < 0.2

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

H_0: p \geq 0.2

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

H_1: p < 0.2

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that \mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4.

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that n = 100, X = \frac{15}{100} = 0.15

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}

z = -1.25

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

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Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo
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Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

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Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

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(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

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