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larisa [96]
3 years ago
10

Calculate the estimate of the mean height of the students in cm and explain your answer

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Step-by-step explanation:

we find the average height of each height first,

t¹= (120+124)/2

=244/2

=122

t²= (124+128)/2

t²= 252/2

t²= 126

t³= (128+132)/2

t³= 260/2

t³= 130

t⁴= (132+136)/2

t⁴= 268/2

t⁴ =134

t⁵= (136+140)/2

t⁵= 276/2

t⁵= 138

so multiplying each height by its frequency we can find the total height, so we have..

total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)

= 854+1008+1690+1206+414

= 5172

mean height = total height/total frequency

= 5172/40

=129.3

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4(x - 1) please help me work this out
kondor19780726 [428]

Answer: x= -1

Step-by-step explanation:

First you take 4 and times it to x and -1, so 4 times x will just be 4x while 4 times -1 will be -4. Then it will look like this (4x - 4), you will have to make the x by itself and to do that is dividing it by 4 on both sides, so 4x/4= x while -4/4= -1. The answer is x= -1

3 0
3 years ago
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4x + 5y = 12 and 3x + 4y = 9.25 . Solve for systems of equations
masha68 [24]

Answer:

y=1

x=7/4

Step-by-step explanation:

4x + 5y = 12

3x + 4y = 9.25

4x + 5y = 12

12x + 16y =37

-12x -15 y =-36

12x + 16y =37

y=1

x=7/4

8 0
3 years ago
Read 2 more answers
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
Find the mean and median of the data. <br><br> 4.7,8.51,6.5,7.42,9.64,7.2,9.3
Murrr4er [49]

Answer:

Population size: 7

Median: 7.42

Minimum: 4.7

Maximum: 9.64

First quartile: 6.5

Third quartile: 9.3

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5 0
3 years ago
Consider the following cumulative probability distribution.
Marat540 [252]

The solution  P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)  is mathematically given as

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<h3>What is the solution P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)?</h3>

Generally, the equation for the Probability of P(X=3) is mathematically given as

b)

P(X=3) = P(X \leq 3)-P(X\leq 2)

Therefore

P(X=3)= 0.65-0.48

P(X=3)= 0.17

c)

P(2\leq X\leq 4) = P(X\leq 4)-P(X\leq 1)\\\\\\P(2\leq X\leq 4) = 0.84-0.31'

P(2 < =X\leq 4)=0.53

a)

P(2\leq X\leq 4)=0.84

Read more about cumulative probability distribution.

brainly.com/question/19884447

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7 0
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