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Dafna11 [192]
2 years ago
10

What is the value of x in the equation? –30 = 3x + 21

Mathematics
1 answer:
Sergio039 [100]2 years ago
4 0

Answer:

-17

Step-by-step explanation:

as the picture says I have moved 21 so that the numbers are together and it's easier to solve then you move 3 to divide it on the other side and x is left alone.

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Which set of side lengths can be used to form a right
tresset_1 [31]
I would say 30,40,50 because it equals the degrees of a right triangle which is 120
5 0
3 years ago
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You flip a coin twice. Find the probability of the first flip lands tails-up and
Natasha2012 [34]

Answer:1/4

Step-by-step explanation:Probability of first tails: 1/2, probability of second heads: 1/2, 1/2*1/2=1/4

6 0
3 years ago
What is the area of the triangle?<br>PLSSS help me
AveGali [126]

Answer:

The area of the triangle is A=6 \:units^2.

Step-by-step explanation:

The area <em>A</em> of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

From the graph, we can see that the base is 3 units and the height is 4 units. Therefore, the area of the triangle is

A=\frac{1}{2} \cdot3\cdot 4=\frac{12}{2}=6 \:units^2

8 0
3 years ago
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
Evaluate 3^2 + (5-2) X 4 - 6/3
muminat

Answer:

The result is 19

Step-by-step explanation:

3^{2}  + (5-2)x4 - 6/3

Step 1: Parenthesizing (5-2)=3

3^{2}  + 3x4 - 6/3

Step 2: Exponentiation 3^{2}=9

9  + 3x4 - 6/3

Step 3: Multiplication and division 3x4=12 and 6/3=2

9  + 12 - 2

Step 4: Addition and subtraction 9+12=21, and 21-2=19

21-2

19

The operations are ordered from highest to lowest in the order:

1. Parenthesizing,

2. Factorial,

3. Exponentiation,

4. Multiplication and division,

5. Addition and subtraction.

Hope this helps!

6 0
2 years ago
Read 2 more answers
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