9. Mr. Allen began saving money. His savings is shown on the graph. Mrs. Clayton began saving at the same time,
and her savings is recorded in the table.
Weeks
Total Savings ($)
0
6
1
11
3 4 5
16 | 21 | 26 31
What does their initial value mean in each representation?
A. Mr. Allen began with $8 in his account and Mrs. Clayton began with $6 in her account.
B. Mr. Allen's additional increase is $6 per week. Mrs. Clayton's additional increase is $5 per week.
C. Mr. Allen increased his savings by $8 each week, while Mrs. Clayton increased her savings by $6
each week.
D. Mr. Allen's goal was to have $32 by week 4, and he reached his goal. Mrs. Clayton's goal was to
have $26 by week 4, and she reached her goal.

Answer:

10.224 < μ < 12.622 ;

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of Error

margin of error = Zcritical * standard deviation /sqrt(n)

n = sample size

From the data:

12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63

From the data:

Using calculator :

Mean, = 11.423

Standard deviation, s = 1.934

Zcritical at 95% confidence interval = 1.96

Sample size, n = 10

Margin of Error = 1.96* 1.934/sqrt(10) = 1.199

Lower boundary = 11.423 - 1.199 = 10.224

Upper boundary = 11.423 + 1.199 = 12.622

10.224 < μ < 12.622

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

Answer:

option c

Step-by-step explanation:

edge 2021

Yan na sagut ko sa module

Sana makatulong

follow me for more math answer

Answer:

3 4/5

Step-by-step explanation:

7 3/10 - 3 9/10=

In this case 3/10 - 9/10 is cannot  be so we have to borrow 1 whole from 7

so, 7 3/10 will become 7 3/10 + 1 or to add we have to change 1 as 10/10, any way 1 and 10/10 is equal but in this case we will use 10/10 to add 1 whole to 3/10 and minus 1 whole to 7

so, 3/10 + 10/10 = 13/10

and 7 - 1 = 6

so, 7 3/10 as 6 13/10

any way 7 3/10 and 6 13/10 is equal but, in this case we have to use 6 13/10 to minus, because 7 3/10 is cannot be

so, 6 13/10 - 3 9/10 =

=3 4/10 or 3 2/5

Answer:

D

Step-by-step explanation

-2 1/2 is less than -1 1/2, s -2 1/2<-1 1/2

Answer:

what's the deal wit u

Step-by-step explanation:

Answer:

22, 16, 18, 36

Step-by-step explanation:

the mean of the data set is 23 and the number 36 is 13 digits away from that therefore this data set is the most spread out.

have a great day :D

Answer:

13, 9, 0.75, 1/2, -0.75, -5, -7

-7, -5, -0.75, 1/2, 0.75, 9, 13

Step-by-step explanation:

Answer: 13, 9, 1/2, 0.75, -0.75, -5 , -7

Answer:

D. December 14th.

Answer:

Dec 14 next year

Step-by-step explanation:

just add 15 months lol

Answer:

24/3 =8 with each friend

Step-by-step explanation:

Answer:

you give each one 12 and than eat them

Step-by-step explanation:

Answer:

a.) 1/2

b.) 1/8

c.) 5/8

d.) 1/2

Step-by-step explanation:

for A it is asking for probability of 1 and is 1/2 of the circle

for B it is asking for  probability of 3 and it is 1/2 of and 1/4 of the circle so 1/8

for C it is asking for probability of the odd numbers and there is tow odd numbers 1 and 3 the probability of 1 is 1/2 and the probability of 3 is 1/8 adding them up will give you 5/8

for d it asks for the probability of at least 2 so therefor 2, 3, and 4 and they are 1/8 + 1/8 + for 1/4 = 1/2

Answer:

Jamal's inequality is correct

Step-by-step explanation:

Given

[tex]Sets:\{0,1,3,4,6,12\}[/tex]

Gary: [tex]6>0.5t[/tex]

Nancy: [tex]30 -t \le 18[/tex]

Jamal: [tex]12 \le t+12[/tex]

Required

Which of the inequalities is/are true

Gary: [tex]6>0.5t[/tex]

[tex]6>0.5t[/tex]

Divide both sides by 0.5

[tex]\frac{6}{0.5} > \frac{0.5t}{0.5}[/tex]

[tex]12 > t[/tex]

Rewrite as:

[tex]t < 12[/tex]

Gary's inequality is false because: [tex]12 = 12[/tex]

Nancy: [tex]30 -t \le 18[/tex]

[tex]30 -t \le 18[/tex]

Collect like terms

[tex]-t \le 18 - 30[/tex]

[tex]-t \le -12[/tex]

Divide both sides by -1

[tex]t \ge 12[/tex]

Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12

Jamal: [tex]12 \le t+12[/tex]

[tex]12 \le t+12[/tex]

[tex]12 - 12 \le t[/tex]

[tex]0 \le t[/tex]

Rewrite as:

[tex]t \ge 0[/tex]

Jamal's inequality is correct because: 0,1,3,4,6 and 12 [tex]\ge 0[/tex]

Step-by-step explanation:

(2×2) . 2×2×2×2 . 2×2×2

=(4) . 16 . 8

Answer:

The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:

[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]

Step-by-step explanation:

According to the definition of absolute value, we know that:

[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]

According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:

[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]

Answer:

The correct order is in the picture i attatched:)

Step-by-step explanation:

Hope this helps explain a little better:)

Answer:

Rate.

Step-by-step explanation:

(4, -1) ---> x = 4 and y = -1

If you look at the graph you can se this

Mark points (0, 2) and (8, -4) in the coordinate plane

Plot the line going through both of these points.

Read the coordinates of the intersection of the line so you can see the solution!

Answer:39

Step-by-step explanation:

Answer:

Step-by-step explanation:

Consider the angle of depression is same as the angle between horizontal line on the ground and the direct line from the plane to the airport (alternate interior angles).

Use tangent to find the missing length.

tan = opposite / adjacent

The distance is 4744  ft

Answer: -71.104 ft/sec

Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.

6=-16t^2+40t+60

0=-16t^2+40t+54

plug in those values into the quadratic formula or your calculator and you get:

t = -.972

or

t = 3.472

since you can't have negative time, the other answer must be it.

So you then plug it in and solve.

v(3.472) = -32(3.472) + 40

which is approximately -71.104 ft/sec

or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)

Answer:

A = 94.99

Step-by-step explanation:

C = 2(3.14)r

34.54 = 2(3.14)r

34.54 = 6.28r

r = 34.54/6.28

r = 5.5

A = (3.14)r²

A = (3.14)5.5²

A = (3.14)30.25

A = 94.985

Answer:

95miles²

Step-by-step explanation:

The circumference of a circular island = 34.54 miles.

2πr=34.54miles

πr=17.27mile

r=17.27/πmile

the area of the island=πr²=π×{17.27/π}²=95miles² approx

Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

Answer:

A = 141.57

B = 235.62

b is larger

Step-by-step explanation:

Answer:

same amount of money

Step-by-step explanation:

The unit rate for a 9-ounce jar is $0.17.

The unit rate for a 15-ounce jar is $0.17.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The store sells a 9-ounce jar of mustard for $1.53.

The unit rate.

= 1.53/9

= 0.17 _____(1)

The store sells a 15-ounce for $2.55.

The unit rate.

= 2.55/15

= 0.17 ______(2)

From (1) and (2) we see that,

The unit rate is the same.

Thus,

The unit rate is the same.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ2

to figure this one out we need to simplify the expression

16x²-36  start by taking out the greatest factor of 16 and 36 which is 4

4(4x²-9) then since this is the difference of squares (meaning both 4 and 9 are squares and it is subtraction) this one is easy, just square the parenthasis and seperate them  to get

4(2x+3)(2x-3)

I hope I've helped!

The expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

It is given that the expression [tex]\rm 16x^2-36[/tex]

It is required to simplify this expression.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]=\rm 16x^2-36[/tex]  

As we can see in the above expression we can take out 4 because 4 is the common factor of 16 and 36.

[tex]=\rm 4(4x^2-9)[/tex]   or we can write it as:

[tex]\rm = 4((2x)^2-3^2)[/tex]

We know that the:

[tex]\rm (a^2-b^2) = (a+b)(a-b)[/tex]

By using the above formula, we get:

[tex]\rm = 4(2x+3)(2x-3)[/tex]

Thus, the expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

$5.7

Step-by-step explanation:

Given data

Bill= $37.85

Tip= 15%

Required

The amount of the tip

let us find 15% of $37.85

=15/100*37.85

=0.15*37.85

=$5.6775

Hence the amount of the tip is

=$5.7

Answer:

first and last expressions are correct.

The probability the coins will land with different sides showing should be 1/2.