Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 20]

Answer: 50 square units

Step-by-step explanation:

Answer:

I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g

Answer:

no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

-3 x (8 + [-10]) =

-3 x (8 - 10) =

-3 x -2 =

6

HOpe that helps!

Answer: 6

Step-by-step explanation:

finding the answer from an equation

replace the values of x and a in the equation:

(-3) * ( 8 + -10)

= (-3) * (-2)

recall :

(-) * (-) = +

hence -3 * -2

= 6

Hope this helps. Can u pls give me brainliest

Answer:

if the slope is 0, it is horizontal. and remember, m is the slope. (0)

Step-by-step explanation:

x is 9, y is 5.

slope intercept form is y=mx+b, so you plug in the numbers.

5= 0*9+5

or, 5=5

Answer:

it is A.2/3

Step-by-step explanation:

Answer:

36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.

Hope this helps! Brainliest?

Answer:

No

Yes

No

Yes

(choice 3 is a no)

Answer: 9/(1+2)

Hope it helps :)

Answer:

The best estimate for the length of gribbles is of 3.1 mm.

The margin of error for this estimate, with 95% confidence, is of 0.2 mm.

The 95% confidence interval is between 2.9 mm and 3.3 mm.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

Best estimate for the length of gribbles

The best estimate is the sample mean, that is 3.1 mm.

Margin of error:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for this estimate, with 95% confidence, is of 0.2 mm.

Confidence interval:

The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm

The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm

The 95% confidence interval is between 2.9 mm and 3.3 mm.

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Answer:

It's a, 2^x + 3

Step-by-step explanation:

If you look at the y-intercept, you can see that there was a vertical shift upwards by 3 (y intercept moved from y = 1 to y = 4).

If you're studying for the SAT, it'll be good to study the transformation rules, including horizontal stretches/shifts. They always seem to throw one or two questions about those on there.

Answer:

6 days

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

1 day=1/2

2 day=1

3 day=1 and 1/2

4 day=2

5 day=2 and 1/2

6 day=3

hope this helps :)

To make this graph the first step is to look at the slope-intercept form

- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)

So, now you can find the y-intercept on the graph (-5) and make a dot there

Next, move right 3 and up 2 and repeat until you have enough points to make a line :)

graph below- hope this helps :)

Answer:

Let me know if there is anything you don't get

∠3 = 102 because ∠1 and ∠3 are supplementary and 102 + 78 = 180

∠4 = 102 because ∠1 and ∠4 are consecutive interior angles

∠5 = 78 because ∠1 and ∠5 are corresponding angles

∠6 = 133 because ∠2 and ∠6 are supplementary angles

∠7 = 47 because ∠2 and ∠7 are vertical angles

∠8 = 47 because ∠2 and ∠8 are opposite interior angles

∠9 = 133 because ∠8 and ∠9 are supplementary, and we just saw ∠2=∠8

∠10 = 102 because ∠1 and ∠10 are supplementary

You could have used a whole bunch of different relations, but I wanted to focus on ∠1 and ∠2 since those were told to us

Step-by-step explanation:

For this question you need to know several parts of geometry.  Let me know if anything doesn't make sense.

First, parallel lines are two or more lines which are angles in such a way that no matter how long they are they will not cross.  In other words they are slanted at the same angle.  you can see this with lines a and b in this picture.

Second, a transversal is a line that crosses through two or more parallel lines.  A transversal creates a number of angles that have special properties.  I would like you to look specifically at line c as I describe these angles.  line c is a transversal to Ines a and b.  Also line d is also a transversal.

There are seven special angles to know.

The easiest is supplementary angles.  This you don't need parallel lines, but if any two lines ever cross this creates 4 angles.  you can actually look at where lines c and b intersect in your problem.  Angles 2. 6 and 7 are labeled but there is one more unlabeled one.  Now, 180 degrees is a straight line.  With angles you can see angles 6 and 7 add together to be a straight line.  Similarly 2 and 6 do as well.  These are two sets of supplementary angles.  

To list off the supplementary angles here 9 and 8 are supplementary, as are  2 and 6, 6 and 7, 1 and 3, 1 and 10, and finally 4 and 5.

From supplementary angles comes vertical angles.  Again, if you look at angles 2, 6 and 7 we already know ∠2 + ∠6 = 180 and ∠6 + ∠7 = 180.  Well lets say ∠6 = 133.  Well then, we could use algebra to see that both ∠2 AND ∠7 are 47 degrees.  This is the property of vertical angles.  if you have two lines intersecting, any two angles that have a third in between the are called vertical angles, and are equal.

some examples of vertical angles are ∠2 and ∠7as well as ∠3 and ∠10,  

Finally we go into parallel line specific angles.  If you have two or more parallel lines with a transversal, so in particular look at a and b as the parallel lines and c as the transversal.  The transversal creates some special angles.  in particular, the transversal crosses a and b at the same angle, so angles 8 and 7 have the same value.  These are known as corresponding angles, since they correspond tot he same position with a transversal crossing through parallel lines.  

the corresponding angles in the picture are ∠8 and ∠7, ∠3 and ∠4 and finally ∠1 and ∠5.  the last two using line d as a transversal.

After corresponding angles opposite interior angles I think are the next logically to look at.  Opposite means they are on two different parallel lines and on different sides of the transversal, while interior means they are between the parallel lines.  so if you look at the parallel lines a and b there are angles 8 and 2 that are interior angles.  Since 8 is against line a and 2 is against line b, and ∠8 is above transversal c while ∠2 is below it, they are opposite angles.  so 8 and 2 are opposite interior angles.  Now, if you look at ∠8 and ∠7 you know these are corresponding angles, then ∠7 and ∠2 are vertical angles.  This means opposite interior angles are equal.

A list of opposite interior angles are ∠8 and ∠2, and ∠10 and ∠4.

Alongside opposite interior, there are opposite exterior angles.  opposite means on different parallel Ines and on opposite sides of the transversal, while this time exterior means not between the parallel lines.  Now just like we figured with opposite interior angles

The only labeled pair of opposite exterior angles are ∠9 and ∠6.  Now just like we figured with opposite interior angles, let's start with ∠8 and ∠9, which are supplementary.  then ∠8 and ∠7 are corresponding angles so ∠9 and ∠7 are supplementary.  We can also see ∠7 and ∠6 are supplementary.  well, since ∠9 + ∠7 = 180 = ∠6 + ∠7 then ∠9 = 180 - ∠7 = ∠6 so ∠9 = ∠6.  This shows opposite exterior angles are  equal.

So we did two kinds of opposite angles, it might make sense there are non opposite angles.  And there are.  these are called consecutive angles.  There are consecutive exterior and consecutive interior angles.  An example of each are ∠1 and ∠4 for consecutive interior, consecutive because they are on the same side of the transversal, and interior because they are between the two parallel lines.  ∠3 and ∠5 are consecutive exterior angles.

You can use similar reasoning we have been so far to conclude all consecutive angles are supplementary

12 13 15 15 15 16 19

mean: 15

median: 15

mode: 15

range: 7

Answer:

12, 13, 15, 15, 15, 16, 19

Step-by-step explanation:

Mean: 15

Median: 15

Mode: 15

Range: 7

Answer:

C. y= 1.5x

Step-by-step explanation:

Everytime multiply the first number 1.5 (y) by the X variables it gives you another Y variable. For example, 1.5 times 2 = 3. 1.5 times 3 = 4.5. And 1.5 times 4 = 6!

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

Answer:

The canister hold water = 14 litres

Step-by-step explanation:

Given - While 2/7 of a canister is full, it has 4 litre water in it.

To find - How many litres of water does the canister hold?

Proof -

Given that,

When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre

⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre

                                                         = 2 × 7 = 14 litres

⇒The canister hold water = 14 litres

Answer:

-1

Step-by-step explanation:

I did it in my review

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Number of Markers =

[tex]2 \div \frac{1}{8} \\ = 2 \times 8 \\ = 16[/tex]

Answer:

Wrong Anewer, I can't delete my answer so I just edited this in

Answer: try calculating it this is very easy that’s why you just have to times it

ing

Step-by-step explanation:

Answer:

52 or 28

Step-by-step explanation:

An isosceles has 2 congruent angles.

There are 2 possibilities:

A) There are two 76-deg angles and one angle of a different measure.

76 + 76 + x = 180

x = 28

B) There are two congruent angles, and 76 is the non-congruent angle.

x + x + 76 = 180

2x = 104

x = 52

Answer: 52 or 28

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

Answer:

32 people

Step-by-step explanation:     If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:

0.08 * 400 = 32

Answer: 32 people have green eyes