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3 years ago

Estimate the following difference using front-end estimation. 788.44 - 225.6

Mathematics

1 answer:

Liula [17]3 years ago

5 0

Answer:

562.84

Step-by-step explanation:

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Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds th

kow [346]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

X : 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7,31.6

True standard deviation (σ) = 4

α = 0.01

Mean (m) of the data:

Σ(X) /n = 520.7/20

m = 26.035 = 26.04

Uaing calculator :

Sample standard deviation (s) = 4.785

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

Test statistic (t) : (m - μ) / (s/√n)

t = (26.04 - 25) / (4.785/√20)

t = 0.972

We can obtain the p value using the pvalue from t score calculator :

df = n - 1 = 20 - 1 = 19

Decision:

If p < 0.01 ; reject null

p(0.972, 19) = 0.1716

Since p > 0.1716 ; we fail to reject the Null

6 0

3 years ago

A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line

Andre45 [30]

Answer:

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

Step-by-step explanation:

The slope intercept form of a line is given by:

$y=mx+b$

We are given

Slope = m = 3/2

Point = (10,9)

Putting the value of the slope in the equation we get

$y = \frac{3}{2}x+b$

b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.

Putting (10,9) in the equation

$9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6$

Putting b=-6 in the equation

$y = \frac{3}{2}x-6$

Hence,

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

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3 years ago

Choose the correct first step(s) to solve the system using elimination. 4x + 7y = 6 and 6x + y = 2

exis [7]

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3 years ago

What is the domain and range for h(x)=-8+360?

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Jumlah 3 bilangan ganjil berurutan adalah 159, selisih bilangan terbesar dan terkecil adalah

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