Solve variable 3/4x-5=7

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

2 years ago

Is the simplified form of 2-3 + 3.3 rational? Yes No

N76 [4]

Answer:

YES IT IS

Step-by-step explanation:

2-3 + 3.3

= -1 + 3.3

= -4.3

We learn that:

Rational number: rational number is the number that can be written as a/b (a and b would be intergers and b is not equal to 0). Rational number would be most of numbers we use in out life, except Square root and Pi number.

In this case, -4.3 can be write as -43/10

So YES it would be a rational number

Hope this helped :3

6 0

3 years ago

Juan tiene cubos azules de 55 mm de arista y cubos rojos de 45 mm de arista. Los apila en dos columnas, una de cada color ; quie

balu736 [363]

the question in English

Juan has blue cubes with a 55 mm edge and red cubes with a 45 mm edge. He stacks them in two columns, one of each color; he wants the two columns to be the same height. How many cubes does he need, as a minimum, of each color?

Let

x---------> the number of blue cubes

y--------> the number of red cubes

we know that

Juan wants that the two columns to be the same height

so

$55x=45y$

solve for y

$y=\frac{55}{45}x$

I proceed to calculate a table, assuming values of x to calculate the value of y. When the values of x and y are whole numbers, I will have found the solution.

the table in the attached figure

therefore

the answer is

9 blue cubes

11 red cubes

7 0

2 years ago

Help I have to turn this in. In a couple hours

Gelneren [198K]

28. Surface Area

This is some sort of house-like model so for every face we see there's a congruent one that's hidden. We'll just double the area we can see.

Area = 2 × ( [14×9 rectangle] + 2[15×9 rectangle]+[triangle base 14, height 6] )

Let's separate the area into the area of the front and the sides; the front will help us for problem 29.

Front = [14×9 rectangle] + [triangle base 14, height 6]

= 14×9 + (1/2)(14)(6) = 14(9 + 3) = 14×12 = 168 sq ft

OneSide = 2[15×9 rectangle] = 30×9 = 270 sq ft

Surface Area = 2(168 + 270) = 876 sq ft

Answer: D) 876 sq ft

29. Volume of an extruded shape is area of the base, here the front, times the height, here 15 feet.

Volume = 168 * 15 = 2520 cubic ft

Answer: D) 2520 cubic ft

6 0

2 years ago

AB is a straight line.

wel

Answer:

109

Step-by-step explanation:

AB = 180° ( straight line )

X = 180 - 42 - 29

= 138 - 29

= 109

4 0

2 years ago

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