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iVinArrow [24]
2 years ago
10

What is the value of x in the rhombus below? (2x+3)" (3x+2)

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0

Answer:

17°

Step-by-step explanation:

See attachment for the figure

The two diagonals of a rhombus are perpendicular . So, Rhombus have diagonals that intersect at 90 degree.  

Therefore,

2x+3+3x+2=90 degree

5x=85

X= 17 degree

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If you dig a 6 ft hole how deep is that hole
7nadin3 [17]

Answer:

about 20 ft

Step-by-step explanation:

7 0
2 years ago
Explain why the following quotient is incorrect: <br><img src="https://tex.z-dn.net/?f=1%2C000%20%5Cdiv%205%20%3D%202%2C000" id=
vitfil [10]

Answer:

When you divide a positive number (such as 1,000) by a number greater than 1 (such as 5), the answer must be smaller than the number you started with. The answer must be smaller than 1,000. 2,000 is greater than 1,000, so it cannot be correct. The correct quotient is 1,000/5 = 200.

3 0
3 years ago
Write 24 as a prime factors what is the answer
djverab [1.8K]
Write a number as prime factors means to write the number as a product of numbers, all of which are prime. We start by checking whether the number is divisible by prime numbers, starting from the smallest prime number,2.

let's divide 24 into its factors.

first, it's even, so it must divide by 2

24=2*12

12 is also even, so it must divide by 2:


24=2*12=2*2*6

6 is also even, so it must divide by 2:


24=2*12=2*2*6=2*2*2*3

3 is not even, but it's a prime number.

so the solution is
2*2*2*3



7 0
3 years ago
Read 2 more answers
The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to
alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 1164, p = 0.038

So

\mu = E(X) = np = 1164*0.038 = 44.232

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is P(X \geq 47 - 0.5) = P(X \geq 46.5), which is 1 subtracted by the pvalue of Z when X = 46.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{46.5 - 44.232}{6.5231}

Z = 0.35

Z = 0.35 has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0
2 years ago
The sum of two consecutive odd integers is 188. list the numbers from smallest to largest:
mixer [17]
X and x+ 2 equal 188
add all the like terms to get 2x+2=188
subtract 2 from each side
2x=186
divide by 2
x=93
so the numbers are 93 and 95

3 0
3 years ago
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