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3 years ago

i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?

Mathematics

2 answers:

katrin [286]3 years ago

4 0

Answer:

The I is 12.

Step-by-step explanation:

You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY

Mrac [35]3 years ago

4 0

Answer:

Step-by-step explanation:

(figure out length of triangle)24-12=12

(find full length of base which is equal to L of rectangle)24+12=36

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PLSSS ANSWER 50 points

erma4kov [3.2K]

Answer:

Step-by-step explanation:

90 % 5 = 18 so A would measure 90º

8 0

3 years ago

Read 2 more answers

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans

Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

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.

In this problem, we have that:

$\mu = 50, \sigma = 1.8$

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here $n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366$

This probability is 1 subtracted by the pvalue of Z when X = 51. So

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{51 - 50}{0.4366}$

$Z = 2.29$

$Z = 2.29$ has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here $n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683$

$Z = \frac{X - \mu}{s}$

$Z = \frac{51 - 50}{0.0.2683}$

$Z = 3.73$

$Z = 3.73$ has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0

3 years ago

Mr. Brown's salary is $32,000 and it increases by 3% each year. What is the explicit rule for this sequence in simplified form?

katovenus [111]

Answer:

This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;

nth=ar^(n-1)

where;

a=first term

r=common ratio

n=nth term

Thus

a=8.50

r=(8.85)/(8.50)=1.0412

thus the formula will be:

nth=8.50(1.0412)^n

3 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

ioda

Answer: The first option with sss as part of the proof

Step-by-step explanation:

The lengths of the arcs drawn in the constructions are the same, so when the line is drawn, the lengths of the sides will all be the same. SSS is proof of congruence.

CPCTC is an acronym for "corresponding parts of congruent triangles are congruent."

7 0

3 years ago

Read 2 more answers

2+x^2=18<br> Help please

Harlamova29_29 [7]

Answer:

2+x^2=18 = 2+4^2=18

Step-by-step explanation:

Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.

3 0

3 years ago