A college admissions officer takes a simple random sample of 90 entering freshman and computes their mean mathematics sat score to be 436. assume the population standard deviation is σ = 101. Based on a 99% confidence interval for the mean mathematics SAT score, is it likely that the mean mathematics SAT score for entering freshmen class is greater than 460?

Answer:

-5/16 or -0.3125

Step-by-step explanation:

Answer:

-11/12

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

tubol mo mabaho kaya 1 too 5 so it means 5 days ka sa cr nag tutubol, ok i hope it helps its the grett answer do it in your solution paper or computers

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B =  opposite (12)/hypotenuse (13)

          = 12/13

Cosine B = adjacent/hypotenuse

               = 5/13

Tangent B = opposite/adjacent

                 = 12/5

Here is a picture that can always help you with the three trig ratios.

Answer:

2b^2

Step-by-step explanation:

according to the question equation is

(a^2 + b^2 ) - (a^2 - b^2)

a^2 + b^2 - a^2 + b^2

plus a square and minus a square gets cancel

b^2 + b^2

since they are like terms they can be added

2b^2

Answer:

2b^2

Step-by-step explanation:

according to the question equation is

(a^2 + b^2 ) - (a^2 - b^2)

a^2 + b^2 - a^2 + b^2

= b^2 + b^2

like terms can be added

+2b^2

Answer:

1000

Step-by-step explanation:

Volume = 10 * 10 * 10 = 1000

Answer:

[tex]Volume = 1000[/tex]

Step-by-step explanation:

Formula to find volume of cube:

[tex]Volume=a^{3}[/tex]

[tex]Volume = 10^{3}[/tex]

[tex]Volume = 10*10*10[/tex]

[tex]Volume = 1,000[/tex]

hope this helps.....

Part (a)

Refer to figure 1 in the attached image below. The a,b,c,d,e are placeholders for numbers we'll fill in later (that turns into the table for figure 2). Hopefully you agree about the placement of the numbers. If there's any confusion, then please let me know.

Along the bottom row, we can see that 39+e = 65 which solves to e = 26 after you subtract 39 from both sides. This tells us that there are 26 non-physics majors (ie their major is anything but physics).

Then along the "non-physics" column, notice how b+6 = e, which is the same as b+6 = 26 after replacing 'e' with 26. Solving that equation leads to b = 20. So we have 20 people who are seniors and non-physics majors.

Now move to the top row. We can see that a+b = 30, which is the same as a+20 = 30 because we plug in b = 20. That solves to a = 10. So we have 10 seniors who are physics majors.

----------------

Now along the first column, we have a+c = 39, aka 10+c = 39, which solves to c = 29. There are 29 non-seniors who are physics majors.

The last variable to find is variable d.

Along the second row, we can say,

c+6 = d

29+6 = d

d = 35

Or we could say that 30+d = 65 along the last column which also solves to d = 35. This tells us we have 35 non-seniors in the class.

----------------

To summarize so far, we have

a = 10, b = 20, c = 29, d = 35, e = 26

These values will replace the letters as shown in figure 2.

Figure 2 will be used to answer both parts (a) and (b).

----------------

After that (more than) slight detour of filling in the table, we can finally tackle the question at hand. We're asked to find the probability of selecting someone who is a senior and a physics major. We have a = 10 people who fit the description out of 65 total

Divide the two values and reduce the fraction as much as possible

10/65 = (2*5)/(13*5) = 2/13

==========================================================

Part (b)

There's a lot going on with part (a). Luckily there aren't many steps here because pretty much all the work has been done already. We'll refer to figure 2 below.

We're told "given the student is a physics major", which means we focus solely on the "physics major" column only. We ignore everyone else because we know 100% that whoever we selected majored in physics.

We have a = 10 seniors who are also physics majors out of 39 physics majors total.

That constructs the fraction 10/39

Answer:

add all the numbers

which will get you 24

then divide by how many numbers you got which will give you 6

the answer is six

Step-by-step explanation:

Hope this helps :D

Answer:

The mean is equal to 4.

Step-by-step explanation:

To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.

For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4

The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4

The mean is equal to 4.

Step-by-step explanation:

Using an online calculator, I was able to find that one pattern is

[tex]a_{n} = a_{n-1} + 14 * 3^{n-1}[/tex] . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one

Answer:

-1/4x² + 3

Step-by-step explanation:

Given that:

Path of sprinkler is modeled by the quadratic function :

w(x) = -1/4(x^2 -12 )

w(x) = height of the water, in meters, at position x

The height of ceiling as a constant or Coefficient = w(x)

Expanding w(x)

-1/4(x^2 -12 )

-1/4 * x² + 1/4 * 12

-1/4x² + 3

The height of ceiling is -1/4x² + 3

27x^6 = 387420489

You want something similar but cubed.

[tex]\sqrt[3]{387420489}[/tex] = 729

YOUR ANSWER: 729x^3 = 387420489

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If you are looking for the x- intercept image is below

if you are looking for the y- intercept its the same as the x. Image is below

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

Answer:

To convert kilometres to metres, divide the value by 1000.

0.7 ÷ 1000 = 700 metres

Kayli swam 700 meters in the swimming pool

Hope this helps!

Step-by-step explanation:

my answer is in the image above

The solution is m=70miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

If k kilometers is the same distance as m miles.

k is given approximately by the formula.

k=8m/5

the number of miles in 112km,

then, we get

k=8m/5

i.e. m= 5k/8

now, k=112

so, m= 5/8 * 112

i.e. m=70

Hence, The solution is m=70miles.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

[tex] \frac{8}{?100} \times 25000[/tex]

=2000

365×10=3650

2000×3650=7300000

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$25000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=25000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=25000(1.08)^{10}\implies A\approx 53973.12[/tex]

Answer:

b. 11% is a statistic and is represented symbolically as p = 0.11

Step-by-step explanation:

A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;

Hence, 11% is a statistic and can be represented symbolically as p = 0.11

Answer:

the answer is -175. I hope that helped

Answer:

7

Step-by-step explanation:

Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.

Answer:

7, 1, 5, and 3

Step-by-step explanation:

Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.

Answer:

C

Step-by-step explanation:  

Answer:

5 rows of 4 each

4 rows of 5 each

2 rows of 10 each

10 rows of 2 each

1 row of 20

20 rows of 1

Step-by-step explanation:

The answer would be 18 square units

Step-by-step explanation:

When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)

Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...

Answer:

there are 4 aces in the deck of 52 cards

so the probability to draw one ace is 4/52

if we draw an ace, there are 3 left in 51 cards.

so the next probability will be 3/51

we need to multiply probabilities to know how likely it is that this happens in a row.

for three in a row that's

[tex] \frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} [/tex]

rewritten its:

[tex] \frac{4 \times 3 \times 2}{52 \times 51 \times 50} [/tex]

we'll see soon why this is easier to write.

we also have to account for the two cards that are no aces. it doesn't matter if the first two cards are no aces, the last two, or any rodney. just the ammount of non-aces is important.

there are 48 non-aces in the deck.

so the probability to draw one of them in the first step is 48/52.

wich each draw the number of cards left in the deck decreases by 1. and depending what we draw, that ammount also decreases.

we draw 5 cards, so we know what the denominators will be. the numerator will be the rest-ammounts of each event, like shown in the complicated fraction above.

let's write it most easily as this:

[tex] \frac{4 \times 3 \times 2 \times 48 \times 47}{52 \times 51 \times 50 \times 49 \times 48} [/tex]

this scenario looks like it only describes 3 aces, then two non-aces, but the order of multiplication isn't important. you could put the 48 and 47 to the left, same solution. so this expression represents all permutations of "3 aces when drawing 5 cards", including the two cards that are not aces.

that's why writing it as one convoluted fraction is indeed better and simpler than many fraction multiplied in row.

time to grap a calculator.

our probability for the event is

54144 possible valid outcomes out of

311875200 possible combinations.

luckily the calculator can reduce that to a simpler form of

[tex] \frac{47}{270725} [/tex]

(reduced with 2^6*3^, big number, but tried it out by hand stacking up prime factors until hittinga prime in the numerator)

written as a readable kind of number you probably know and like it's

0.0001736079047

in decimal form. now rounded as asked for:

0.00017

(as percentage: 0.017%)

hope the way how we got here is somewhat clear. feel free to ask any questions.

kind regards

Alex

Answer: A

Step-by-step explanation:

Answer:

Cost = 11 + 4*t

Step-by-step explanation:

Cost = 11 + 4*t

Part A

t = 5 hours.

Cost = 11 + 4*5

Cost = 11 + 20

Cost = 31

Part B

time = t hours.

Cost = 11 + 4*t

for 5h he would need to pay $20 ( +$11 ) $31

i dont know what T is so ya :/

Answer:

[tex]F^{-1} (x) = 2x + 12[/tex]

Step-by-step explanation:

Let's assume F(x) = y, then

[tex]y = \frac{1}{2} x - 6[/tex]

Let us solve the equation for x.

[tex]y + 6 = \frac{1}{2} x[/tex]

[tex]2y + 12 = x[/tex]

Next, replace y with x and also replace x with F⁻¹(x)

Answer: [tex]F^{-1} (x) = 2x + 12[/tex]