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skelet666 [1.2K]

1 year ago

10

Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joy

ner" is in the data set. Using a linear search, what is the minimum number of names we might have to check?

1 answer:

REY [17]1 year ago

6 0

Answer:

1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

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Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon

Nadusha1986 [10]

Answer:

Sadie's error is " she made error in step 2 $=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$ where $a\geqslant 0$ "

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

Step-by-step explanation:

Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "

It can be written as $\sqrt{54a^7b^3}$ where $a\geqslant 0$

The given expression is $\sqrt{54a^7b^3}$ where $a\geqslant 0$

To find Sadie's error and explain the correct answer :

Sadie's steps are

$\sqrt{54a^7b^3}$ where $a\geqslant 0$

$=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$

$=3ab\sqrt{6a^5b}$

<h3> $\sqrt{54a^7b^3}=3ab\sqrt{6a^5b}$ where $a\geqslant 0$ </h3><h3><u>Now corrected steps are</u></h3>

$\sqrt{54a^7b^3}$ where $a≥0$

$=\sqrt{(9\times 6)(a^{6+1})(b^{2+1})$

$=\sqrt{(3^2\times 6)(a^6.a^1)(b^2.b^1)$ (by using the identity $a^{m+n}=a^m.a^n$

$=\sqrt{3^2\times 6\times ((a^3)^2.a)(b^2.b)$ (by using the identity $a^{mn}=(a^m)^n$ )

$=3ab\sqrt{6ab}$

Therefore $\sqrt{54a^7b^3}=3ab\sqrt{6ab}$ where $a\geqslant 0$

<h3>The correct answer is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

Sadie's error is " she made error in step 2 $=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$ " where $a\geqslant 0$

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

5 0

1 year ago

Read 2 more answers

A sample of 2,000 licensed drivers revealed the following number of speeding violations. Number of Violations Number of Drivers

Arturiano [62]

Answer:

The probability that a particular driver had exactly two speeding violations is 0.009.

Step-by-step explanation:

We are given that a sample of 2,000 licensed drivers revealed the following number of speeding violations;

<u>Number of Violations</u> <u>Number of Drivers</u>

0 1,910

1 46

2 18

3 12

4 9

5 or more <u> 5 </u>

<u>Total</u> <u> 2000 </u>

<u />

Now, the data means that 1,910 drivers had 0 speeding violations and so on.

Now, we have to find the probability that a particular driver had exactly two speeding violations, that means;

Number of drivers having exactly two speeding violations = 18

Total numbers of drivers = 2000

So, the required probability = $\frac{\text{No. of drivers having two speeding violations}}{\text{Total no. of drivers}}$

= $\frac{18}{2000}$ = <u>0.009</u>

6 0

1 year ago

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and

ser-zykov [4K]

For this case we have the following equation:
$7x - 10y = 3
$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8

y = 5

7 (8) - 10 (5) = 3

56 - 50 = 3

6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

4 0

1 year ago

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A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as w

ad-work [718]

Answer:

A. Increase by 2

Step-by-step explanation:

Given that a fitted multiple regression equation is

$Y = 28 + 5X_1 -4X_2 + 7X_3 + 2X_4$

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4

The coefficients of independent variables represent the slope.

In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.

Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units

Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y

i.e. for 2 units change in x1, we expect 10 units change in Y

Similarly for 2 units change in x2, we expect -2(4) units change in Y

Put together we have

$10-8 =2$ change in y

Since positive 2, there is an increase by 2

A. Increase by 2

5 0

1 year ago

Marquis used the steps below to find the solution to the inequality Negative 5.6 greater-than-or-equal-to x + 3.6.

Taya2010 [7]

Answer:3.9

Step-by-step explanation:

you have to add the decimal to the exponent

5 0

1 year ago

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