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Kisachek [45]
3 years ago
7

Look at the picture 10 points.​

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

-7

-3

28

-3

-6

-20

-6

-42

6

15

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The sum of two numbers is 51 and the difference is 29 . what are the numbers?
sladkih [1.3K]
X+y=51
x-y=29

add equations
x+y=51
<u>x-y=29 +</u>
2x+0y=80

2x=80
divide 2
x=40
sub
x+y=51
40+y=51
y=11


they are 40 and 11
8 0
4 years ago
The following table represents the annual sales of a bakery for the last 7 years since the grand opening
Effectus [21]

The table is a linear regression model, and the equation of the regression model is y = 0.24x + 0.77

<h3>The scatter plot that represents the table</h3>

See attachment for the required scatter plot

<h3>The best model of the scatter plot</h3>

From the attached scatter plot, we can see that the points are almost on a straight line

Hence, the best model that fits the scatter plot is a linear model

<h3>The equation of the regression model</h3>

Using a graphing calculator, we have the following calculation summary:

  • Sum of x = 28
  • Sum of y = 12.1
  • Mean X = 4
  • Mean Y = 1.7286
  • Sum of squares (SSX) = 28
  • Sum of products (SP) = 6.7
  • b = SP/SSX = 6.7/28 = 0.23929
  • a = MY - bMX = 1.73 - (0.24*4) = 0.77143

The regression equation is represented as:

y = bx + a

So, we have:

y = 0.23929x + 0.77143

Approximate

y = 0.24x + 0.77

Hence, the equation of the regression model is y = 0.24x + 0.77

Read more about regression models at:

brainly.com/question/13345245

#SPJ1

8 0
2 years ago
A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =
podryga [215]

Answer:

Area of the counter top is 5.02\ m^2.

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = 18\times 0.305 = 5.49\ m

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = 3\times 0.305 = 0.915\ m

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = 5.49\times 0.915 = 5.0233\ m^2

Rounding up to 2 decimals we get;

Area of the counter top =  5.02\ m^2

Hence Area of the counter top is 5.02\ m^2.

3 0
4 years ago
What is 56% in simplest form as fraction
muminat

Answer:

14/25

Step-by-step explanation:

Convert 56% to fraction form: 56/100, and then simplify to 14/25

4 0
3 years ago
Read 2 more answers
The variance of the scores on a skill evaluation test is 143,641 with a mean of 1517 points. If 343 tests are sampled, what is t
Vlad1618 [11]

Answer:

The probability that the mean of the sample would differ from the population mean by less than 36 points=0.9216

Step-by-step explanation:

We are given that

The variance of the scores on a skill evaluation test=143,641

Mean=1517 points

n=343

We have to find the probability that the mean of the sample would differ from the population mean by less than 36 points.

Standard deviation,\sigma=\sqrt{143641}

P(|x-\mu|

=P(|Z|

=P(|Z|

=0.9216

Hence,  the probability that the mean of the sample would differ from the population mean by less than 36 points=0.9216

5 0
3 years ago
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