A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster

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: -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:

D. December 14th.

Answer:

Dec 14 next year

Step-by-step explanation:

just add 15 months lol

The graph is shown in the attached image.

The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).

Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,

To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Here, the slope (m) is 4/3, and the y-intercept (b) is -9.

Start by plotting the y-intercept, which is the point (0, -9).

Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.

So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).

Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).

You can continue this process to find more points if desired.

Once you have a few points, connect them with a straight line to graph the line.

The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.

Learn more about Linear equations click;

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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:

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.

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Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer: Distributive Property

Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.

Answer:

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.

This means that [tex]\mu = 108[/tex]

The standard deviation of self-esteem scores was 28.15

This means that [tex]\sigma = 28.15[/tex]

What would the z score be for a person whose self-esteem score was 101.6

This is Z when X = 101.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{101.6 - 108}{28.15}[/tex]

[tex]Z = -0.227[/tex]

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

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:

Step-by-step explanation:

[ x^3  + x^2 ]  + [ x^2  -  5x  - 6  ]  =

x^2 ( x + 1) +  (x + 1) ( x - 6)  =

(x + 1)  ( x^2  + x  - 6)  =

( x + 1) ( x + 3) ( x - 2)

Maybe this?

Answer:

Length= 68 miles

Width=28 miles.

Step-by-step explanation:

Length=2x+12

Width=x

2x+12+x=96

3x+12=96

3x=96-12

3x=84

X=28

Width=28

Length=(2×28)+12=68

Answer:

CI = ( 0,539 ; 0,599)

Step-by-step explanation:

The proportion p₀ of person that hung up the phone in the first minute of waiting is:

p₀ = 569/1000         p₀ = 0,569       p₀  =  56,9 %

Then q₀  = 1 - 0,569                          q₀  = 0,431       q₀ = 43,1 %

Sample size is  n = 1000

A 95 % CI  is:     α  = 5 %    α = 0,05      a/2 = 0,025

In z-table we look  z ( score ) for  0,025      z  = ± 1,96

Now CI for proportion is:

p₀ - z (α/2) * √ (p₀*q₀ )/n   < p < p₀ + z (α/2) * √ (p₀*q₀ )/n

we need to find out

z(α/2) * √ (p₀*q₀ )/n   =   1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03

Then

CI ( 95%) =  0,569 ± 0,03  =  ( 0,569 - 0,03 ;  0,569 + 0,03)

CI = ( 0,539 ; 0,599)

Step-by-step explanation:

The answer is

[tex] \sqrt{2} - 1[/tex]

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Answer:

D

Step-by-step explanation

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

Answer:

[tex]A=988\ \text{feet}^2[/tex]

Step-by-step explanation:

Given that,

The height, width and the thickness of a rectangular prism are 17 feet, 12 feet and 10 feet.

We need to find the area of a rectangular prism. The formula for the ara of rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Substitute all the values,

[tex]A=2(17\times 12+12\times 10+10\times 17)\\\\A=2\times 494\\\\A=988\ \text{feet}^2[/tex]

So, the area of the rectangular prism is equal to [tex]988\ \text{feet}^2[/tex].

Answer:right scalene

Step-by-step explanation:

Answer:

Rate.

Step-by-step explanation:

Answer:

least to greatest: -5 and 1

Step-by-step explanation:

they represent the zeroes of the function and are sorted from least to greatest

Answer:

[tex]h=8.48\ \text{inches}[/tex]

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]

So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].

Heya!

Answer:

√72

Step-by-step explanation:

Use Pythagorean:

h² + (14/2)² = 11²

h² + 49 = 121

h² = 121 - 49

h² = 72

h = √72 in

Hope this helps <33

Answer:39

Step-by-step explanation:

Answer:

i think its 90

Step-by-step explanation:

you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5

2 x 3 = 6

3 x 5 = 15

15 x 6 = 90

i dont need the 2k on bloxburg

if its right could i get brainliest?

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]

Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.

Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.

In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.

Step-by-step explanation:

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:

325m = c

Step-by-step explanation:

Each meeting room has 325 chairs.

Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.

An equation is a problem with an equals sign so you need to put what it would equal.

Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.