Mrs. Martz is travelling to 300 miles to Florida

HELP PLEASE FAST. 30 POINTS.

QveST [7]

Answer:

<em>The age of the oldest child id 7.</em>

Step-by-step explanation:

There are 5 children:

1st Child: 7 Years Old

2nd Child: 6 Years Old

3rd Child: 5 Years Old

4th Child: 4 Years Old

5th Child: 3 Years Old

<em>The ges of any two consecutive children difference is 2 years old: 1st Child and 3rd Child. </em>

Hope this helped! :-)

3 0

3 years ago

Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

5 0

3 years ago

magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

a

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

b

$\alpha = 10\%$

Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

So

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

5 0

3 years ago

PLEASE HELP DUE IN 1 HOUR

kobusy [5.1K]

Choosing blue or red: 3 blue + 4 red = 7 marbles
3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability blue or red marble: 7/10

Choosing a marble that isn't blue or red: 2 green + 1 yellow = 3 marbles
Total marbles: 3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability non-blue or red marble: 3/10

5 0

3 years ago

2x +1 < 5 what would be the inequality for this ?

Juli2301 [7.4K]

Hey there!

2x + 1 < 5

SUBTRACT 1 to BOTH SIDES

2x + 1 - 1 < 5 - 1

SIMPLIFY IT!
2x < 5 - 1

2x < 4

DIVIDE 2 to BOTH SIDES

2x/2 < 4/2

SIMPLIFY IT!
x < 4/2

x < 2

Therefore, your answer is: x < 2

(The graph is down below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

8 0

2 years ago

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