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lys-0071 [83]
3 years ago
7

Can someone help with this question? I only have 1 answer choice left

Mathematics
1 answer:
Contact [7]3 years ago
5 0

Option A:

Yes, he is correct.

Solution:

To find the distance between two points (2, 4) and (6, 3).

Distance between two points formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here x_1=2, x_2=6, y_1=4, y_2=3

Substitute these in the distance formula.

Step 1:

d=\sqrt{(6-2)^2+(3-4)^2}

Step 2 :

Using BODMAS rule, first simplify the values into the bracket.

d=\sqrt{(4)^2+(-1)^2}

Step 3:

Squaring the numbers.

d=\sqrt{16+1}

d=\sqrt{17}

Therefore, George's work is correct.

Option A is the correct answer.

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Describe the shape of the data distribution.
Papessa [141]
It is negatively skewed to the right
7 0
3 years ago
In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
Could someone please help with this math problem??!
slavikrds [6]
I agree with this person that will be a good use
3 0
3 years ago
What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?
galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

\frac{100}{500}\times 20

Simplifying, the values, we get,

\frac{2000}{500}=4\%

Thus, the percentage of cacao is 4%

6 0
3 years ago
60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?
Fynjy0 [20]

Answer:

3/5

Step-by-step explanation:

60/100 can be reduced down to 6/10 by dividing by 10, and then you can simplify even more by dividing 6/10 by 2, which leaves you with 3/5.

I hope this helps :)

3 0
3 years ago
Read 2 more answers
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