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Adam has four short straws, five medium straws, and six long straws. If he randomly draws two straws, one at a time without repl

Softa [21]

Answer:

5/15 or 3rd Chance.

Step-by-step explanation: If you add all of the straws together, and take the amount of medium straws there are: the probability will be limited to the amount of medium straws - of course with the total amount involved. Though, I'm not entirely sure, It's been a while since I've done anything like that.

3 0

3 years ago

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A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 co

defon

Answer:

The answer is "Its results are not consistent with its three designs Yes. Its results show significant differences between both the three designs."

Step-by-step explanation:

Following are the distribution of preference:

$Design 1 =54 \\\\ Design 2=38 \\\\\ Design 3=28 \\\\$

$Design \ \ \ \ \ \ \ \ \ \ O_i \\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 54 \\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 38\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 28 \\Total \ \ \ \ \ \ \ \ \ \ 120$

An expected frequency( $E_i$ ) has 40 Null hypotheses to take n=120.to each design:

The effects of the three designs are standardized

Inaccurate.

Hypothesis Alternative:

The effects of the three prototypes are not uniform

Degrees Of freedom $=(n-1)=(3-1)=2$

$H_o, x^2 \ test\ statistic \ \sum_i {\frac{(O_i -E_i)^2}{E_i}} \\$

$= \frac{(54 -40)^2}{40}+\frac{(38-40)^2}{40} + \frac{(28-40)^2}{40}\\\\=49+0.1+3.6\\\\=8.6$

Chi-squared distribution critical value at $\alpha = 0.05 (x^2 _{0.052})=5.99$

Since $x^2, a$ value $> x^2 -$ table of $\alpha =0.05 =5.99$ is determined.

So $H_o$ is rejected.

4 0

3 years ago

Question 9 of 15 (1 point)

mote1985 [20]

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

$4x+10 = x-17$

Subtracting 10 from both sides

$4x+10-10 = x-17-10\\4x = x-27$

Subtracting x from both sides

$4x-x = x-x-27\\3x = -27$

Dividing both sides by 3

$\frac{3x}{3} = \frac{-27}{3}\\ x = -9$

Verification:

$4(-9)+10 = -9-17\\-36+10=-26\\-26=-26$

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

#learnwithBrainly

7 0

3 years ago

You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1

Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is $368\ ft^2$

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) $\$75$

Part 5) The area of the floor is $126\ ft^2$

Part 6) $\$850.5$

Part 7) $\$1,008$

Part 8) $\$472.5$

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

so

The perimeter of the floor is

$P=2(9+14)=46\ ft$

The area of the walls is

$46(8)=368\ ft^2$

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal$

Remember that you can't buy a fraction of gallon

so

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

$368(2)=736\ ft^2$

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal$

Remember that you can't buy a fraction of gallon

so

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

so

$3(25)=\$75$

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

$A=(9)(14)=126\ ft^2$

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

so

$126(6.75)=\$850.5$

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

so

$126(8.00)=\$1,008$

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

so

$126(3.75)=\$472.5$

5 0

3 years ago

2. Find the sum of the geometric series.

stepladder [879]

Answer:

324

Step-by-step explanation:

** The attachment shows an arithmetic sequence **

Sum of Arithmetic Series formula

$S_n=\dfrac12n(a+l)$

where:

a = initial term
l = last term

$a_n=2n-1$

$\implies a_1=2(1)-1=1$

$\implies a_{18}=2(18)-1=35$

$\implies S_{18}=\dfrac12(18)(1+35)=324$

4 0

2 years ago

Read 2 more answers