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deff fn [24]
3 years ago
14

A flower shop has 744 carnations to tie into bunches of 12 each and 1,896 roses to tie into bunches of 24 each.

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

744 Carnations. 12 of these go into a bunch.

1896 roses, 24 go into a bunch.

744/12=62

1896/24=79

62 bunches of carnations and 79 bunches of roses.

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Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbic
jolli1 [7]

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234

Distribution of the difference:

p = p_h - p_n = 0.575 - 0.125 = 0.45

s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034

Confidence interval:

The confidence interval is:

p \pm zs

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower bound is 0.45 - 1.96(0.034) = 0.3834

The upper bound is 0.45 + 1.96(0.034) = 0.5166

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

3 0
3 years ago
What numbers are multiples<br> of 9 and factors of 36?
Serga [27]

Answer:

9,18, and 36

Step-by-step explanation:

9*4=36 and 9*1=9

18*2=36 and 9*2=18

36*1=36 and 9*4=36

5 0
3 years ago
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Please help me asap!!!!!!!!
lesantik [10]
12.) This does not follow the rule of conservation because on the reactant side there is one Na and two Cl while the product side only has one Na and Cl. They are not equal and do not have the same number of atoms for the different elements. In the law of conservation matter cannot be created or destroyed and this does not follow the law.

13.) 2Na + Cl2 —> 2NaCl

Put a 2 in front of Na and a 2 in front of NaCl
4 0
3 years ago
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3&lt;3x+6&lt;24<br><br>i keep getting 1 &lt; x &lt; 6<br>but the answer says -1 &lt; x &lt; 6
lara [203]
3 < 3x+6
-3<3x
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3x+6<24
3x<18
x<6

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6 0
3 years ago
Which postulate or theorem proves that these two triangles are congruent?
Olenka [21]

Answer:

SAS congruence postulate. sweetheart.

Step-by-step explanation:


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3 years ago
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