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ivann1987 [24]
2 years ago
14

shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. she computed two of the residual v

alues. what are the values of a and b?
Mathematics
2 answers:
Delvig [45]2 years ago
8 0
<span>The question asks us to determine the values for a and b in the linear equation. Linear equation in the slope-intercept form is : y = a x + b. This equation is: y = 2.25 x - 3.15. The slope: a = 2.25 and the y-intercept is: b = -3.15. Answer: a = 2.25 and b = - 3.15.</span>
ella [17]2 years ago
4 0

Answer:

a= -0.4 b= 0.15

Step-by-step explanation:

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Mai spends 7 and 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switchi
Sonja [21]
First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,
                            (7 + 3/5) x (60) = 456 minutes
Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes. 

We then divide this value by 6 (for her 6 classes) giving us 69 minutes. Thus, each class is 69 minutes long. 
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2 years ago
Apples: $(2x) per pound
Ludmilka [50]

Answer:

Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges

Step-by-step explanation:

Cost of one pound of Apple = $2x

Cost of one pound of Grapes = $(6x-5)

Cost of one pound of Oranges = $(x+2)

A shopper purchases one pound each of  apples, grapes, and oranges and spends  $10.50.

It can be written as: 2x+6x-5+x+2=10.50

We need to find how much the shopper spend on each fruit.

First we need to find value of x by solving equation

2x+6x-5+x+2=10.50

Solving:

2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=\frac{13.5}{9}\\x=1.5

The value of x is: x=1.5

Now finding cost of one pound each fruit by putting x=1.5

Cost of one pound of Apple = $2x = 2(1.5) = $3

Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4

Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5

So,

Cost of one pound of Apple  = $3

Cost of one pound of Grapes = $4

Cost of one pound of Oranges = $3.5

So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges

3 0
2 years ago
Explain why the vertical line test is used to determine if a graph represents a function.
Aleksandr [31]
Hi there Mary Dominguez, So what a vertical line test down is to find out if a particular graph is a function or not. What you do is take a vertical strait line and move it right to left or left to right, depending on your preference, along the X axis. The reason this works is a function can not have an x that has 2 different y values. If we use the vertical line test on a graph with say a graph that has (2,3) and (2,4) we can use the vertical line test and see that the line hits 2 points at once which means its not a function :)
4 0
2 years ago
Read 2 more answers
The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and
Alexus [3.1K]

Answer:

11.70% probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

\mu = 49, \sigma = 16

What is the probability someone will spend no more than 30 minutes reading online national news reports?

This is at most 30 minutes, so 30 or less minutes. This is the pvalue of Z when X = 30.

So

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

Z = \frac{30 - 49}{16}

Z = -1.19

Z = -1.19 has a pvalue of 0.1170.

So there is a 11.70% probability someone will spend no more than 30 minutes reading online national news reports.

4 0
2 years ago
A pancake recipe calls for 1/4 of a cup of powdered milk and three have cups of whole wheat flour for each batch of pancakes. If
DedPeter [7]
1/4•4= 1 cup of powdered milk
3•4= 12 cups of whole wheat flour
4 0
2 years ago
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