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Leona [35]
3 years ago
8

The length of a rectangle is 1 cm more than three times its width. If the perimeter is 38 cm, what are the dimensions of the rec

tangle? Write a system of equations that
model the following situation. Define each variables with a "Let" statement, write two equations, and solve completely.
Lett =
Let =
Length:
Perimeter
Solve, then complete the following sentence.
The length of the rectangle is
cm and the width is
cm
Mathematics
2 answers:
yawa3891 [41]3 years ago
5 0
Sorry I need points someone already answered I wish and hope the beat for u die
Alexxx [7]3 years ago
4 0

Answer:

897

Step-by-step explanation:

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In a math class of 30 students, 17 are boys and 13 are girls. on a unit test, 4 boys and 5 girls made an a grade. if a student i
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There are 13 girls and 4 more students that are boys that made an A grade. Thus there are 13+4=17 students that are either girls or A students.

The probability of choosing a girl or A student is 17/30.
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The local animal shelter throws a dog-themed party. Humans, h, and dogs, d are both invited. The event space imposes two restric
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What type of math is this problem? Is it advanced?

6 0
3 years ago
Read 2 more answers
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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 distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
Ppppplllssss heeellppppppppppppllllpllklgfgtfchgrrdgvcfyrf
zubka84 [21]

Answer:

Equation: 3x - 11 = 85

Solution: x = 32

Step-by-step explanation:

3x - 11 = 85

You will have to do the opposite to the equation shown on the screen.

3x = 96 (85 + 11)

x = 32 (96 / 3)

3 0
1 year ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
3 years ago
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