Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
610
2.
2.5

Answer:

A) There is a rational relationship, B) Given ratio is not an integer.

Step-by-step explanation:

A) Is the relationship in Part A rational or irrational? Justifty your answer.

From Mathematics we remember that a rational number can formed by dividing a natural number by another natural number. Since Kara and Nathan had two natural numbers {32, 40} as their times of participation in the maze race, ratio between those times can be considered a rational number.

Hence, there is a rational relationship.

B) Can the times for each be written as integers?

The times represents the ratio of the upper number (40) to the lower number (32), the "times" can be written as integer if and only if denominator is equal to 1 after simplifying the ratio. That is:

[tex]x = \frac{40}{32}[/tex]

[tex]x = \frac{20}{16}[/tex]

[tex]x = \frac{10}{8}[/tex]

[tex]x = \frac{5}{4}[/tex]

In consequence, this ratio does not represent an integer. ([tex]1.25=\frac{5}{4}[/tex])

Penjelasan langkah demi langkah:

1)

[tex]= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49[/tex]

2) √32 +3√18-2√50

= √16*2 +3√9*2-2√25*2

= 4√2 + 3(3√2)-2(5√2)

= 4√2 + 9√2-10√2

= 13√2-10√2

= 3√2

3) 1000 ⅔×64⅙

 [tex]= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200[/tex]

4) 3/4+√2

[tex]3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }[/tex]

5) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

6) 12/3+√3

= 4+√3

7) √1000—2√40

= 10 -2 (√4*10)

= 10-2(2√10)

= 10 - 4√10

8) 2- ¹+3-¹

[tex]= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}[/tex]

9)

[tex]\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}[/tex]

Jika pernyataannya opsional, penyebutnya adalah 1

10) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

Answer: -0.7

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

Complete question :

A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th

Answer:

1.) 25th percentile = 74.95

2.) 75th percentile = 95.05

3.) 95th percentile = 109.75

Step-by-step explanation:

Given that :

Mean (m) = 85

Standard deviation (s) = 15

The Zscore, corresponding to the percentiles given:

25th percentile score corresponds to a Zscore of - 0.67

Recall the relation:

Zscore = (x - m) / sd

x = score; m = mean = 85 ; sd = standard deviation = 15

-0.67 = (x - 85) / 15

15 * - 0.67 = x - 85

-10.05 = x - 85

x = 74.95

2.) 75th percentile ; Zscore = 0.67

0.67 = (x - 85) / 15

15 * 0.67 = x - 85

10.05 = x - 85

x = 10.05 + 85

x = 95.05

3.) 95th percentile ; Zscore = 1.65

1.65 = (x - 85) / 15

15 * 1.65 = x - 85

24.75 = x - 85

x = 24.75 + 85

x = 109.75

Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?

Step-by-step explanation:

Word problem which can be modeled by the addition of two negative numbers :

A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions

Amount spent on cracker = - $4

Amount spent on carrot = - $3

Change in account = - 4 + (-3) = - $7

B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?

Amount received from sale of cat = $9

Amount spent on plant = - $4

Change in account = 9 + (-4) = $5

C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?

Amount received from sale of pottery = $9

Amount received from sale of hat = $2

Change in account = 9 + 2 = $11

D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?

Amount spent on VCR = - $8

Amount received from sale of VCR = $9

Change in account = - 8 + 9 = $1

Answer:

The value is  [tex]\sigma _x = 1.1832[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is [tex]\mu = 25[/tex]

    The population standard deviation is  [tex]\sigma = 7[/tex]

    The sample size is  n =  35

Generally the standard deviation of the sampling distribution is mathematically represented as

       [tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]

=>    [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]

=>    [tex]\sigma _x = 1.1832[/tex]

Answer:

Step-by-step explanation:

C = 4

The reason of this is because the absolute value of any number is always positive so that's why.

Complete the square to rewrite the quadratic:

2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5

... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5

... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8

... = 2 (x + 3/4)² + 31/8

Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.

Answer:

I think it the first answer

Step-by-step explanation:

Im not positive but hope that right

Answer:

3.1 to the nearest tenth is 3.1.

Step-by-step explanation:

The first decimal place is the tenths place. Hope this helps!

3.1 because 1 can't be raised to the next number

Answer:

0.3264

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

(x-μ) = 3.6 mm

σ = √variance = √64 = 8mm

z = 3.6/8

z = 0.45

Using the Probability table

P(x<Z) = 0.67364

P(x>Z) = 1 - P(x<Z)

1 - 0.67364

= 0.32636

Approximately = 0.3264

Answer:

7+(-11)

Step-by-step explanation:

because it starts from 0 to 7 then goes down 11

so 7+(-11)

brainlist pls ;>

Answer:

A=750 +75*t

B=900 +25*t

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Step-by-step explanation:

You know that High School A currently has 750 students  and is projected to grow by 75 students each year.   With A being the number of students in High School A in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

A=750 +75*t

You know that High School B currently has 900 students  and is projected to grow by 25 students each year.   With B being the number of students in High School B in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

B=900 +25*t

You want to determine how many students there would be in each high school in the year that they are projected to have the same number of students. That is, in year t the number of students is the same, so

A = B

750 +75*t=900 + 25*t

Solving:

75*t -25*t= 900 - 750

50*t= 150

[tex]t=\frac{150}{50}[/tex]

t=3

This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:

A=750 +75*t= 750 +75*3= 975

B=900 + 25*t=900 + 25*3= 975

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Answer: REAL ANSWER

A= 75t +750

B=25t +900

Answer: 975 students

Answer:

$120

Step-by-step explanation:

Happy almost halloween!

Answer:

D is the correct answere

Answer:

Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)

Step-by-step explanation:

XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD

Answer:

B

Step-by-step explanation:

since it is negative its below

hope this helps :3

if it did pls mark brainliest

Answer:

B. 282 feet below sea level

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

A) f'(x) = 0.3((x-1)²+1)

Step-by-step explanation:

Answer:

$11.20

Step-by-step explanation:

you just double the cost of 2.5 pounds because 2.5 +2.5 is 5

Answer:20.16

Step-by-step explanation:

That is we want the price of

9

pounds (lets call it

$

x

) to be such that

$

5.60

:

2.5

pounds

is the same as

$

x

:

9

pounds

or written as fractions, we want

$

5.60

2.5

pounds

=

$

x

9

pounds

That is

XXX

$

x

=

$

5.60

2.5

pounds

×

9

pounds

XXXXX

=

$

50.40

2.5

=

$

20.16

Answer:

The median monthly sales goal is $30000

Step-by-step explanation:

Monthly Sales Goals (in thousands)

Stem Leaf

1 8 9

2 5 6 6 8

3 2 3 3 6 9

4 0

Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40

n = 12(even)

[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]

[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]

So, The median monthly sales goal is $30000

So, Option C is true

Answer:

his percent grade was 80

Step-by-step explanation:

15 is 20 percent of 75

This is a proportion problem. Eric earned 60 out of a possible 75 points, so the ratio is 60/75. You put that equal to x, so 60=x% and 75=100%. So it would look like

60 = x

75 100

then you cross multiply 60 and 100, and 75 and x, so you get

6000=75x

then divide by 75 and you have your percent

You change a fraction into a percentage by multiplying by 100.

So, for example, half is 1/2. Multiply by 100 gives 100/2=50. So half is 50%.

Answer:

2.088

Step-by-step explanation:

Trust me I am in high school honors algebra with almost an average of 100.

The product of 2.4 x 0.87 is 2.088.

A decimal is represented by a dot which separates the whole part and the fractional part of a number.

According to the given question we have to multiply two decimals numbers  2.4 and 0.87.

Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.

So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.

learn more about decimals here :

https://brainly.com/question/548650

#SPJ2

Answer:

c trust me

and well i just did that 20 mins ago

Answer:

C for sure hope you get it

Answer:

Yes the trainer was successful in an attempt for lucky to gain weight.

Step-by-step explanation:

Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.

Answer:

[tex]9\sqrt{2}[/tex]

Step-by-step explanation:

d = [tex]\sqrt{(5-(-4)^2+(5-(-4)^2 \\[/tex]

d = [tex]\sqrt{(9)^2+(9)^2[/tex]

d = [tex]9\sqrt{2}[/tex]

Answer:

D i think... sry if im not correct i tried my best

Step-by-step explanation:

The question is wrong bro.