Work out the value of 102 - 43
Give your answer as a power of 6.

Answer:

? what's the question??????????????????

I assume the normal function is V(x)=y

So if we plug it in, we know that at x=4, the y value of the function is 64.

Answer:

Step-by-step explanation

Answer:

(-5, -8)

Step-by-step explanation:

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

x^2 + 10x = - 17

x^2+10x+17=0

x^2+2*5x+25 - 8=0

(x+5)^2-8=0

h=-5, k= -8

vertex is (-5, -8)

Answer:

5.5 liters

Step-by-step explanation:

1 milliliter equals to 1/1000 part of a liter, which is 0.001 liter.

1 milliliter = 1 * 0.001 liter

So if you have 5500 milliliters that means it equals to 5500 times one milliliters and 1 milliliter = 1 * 0.001 liter, so for 5500 milliliters it is 5500 times as much

5500 * 0.001

5500 * 1/1000

5500 / 1000

5.5 liters

As long as you know this number 0.001 , then it is easily to calculate between liters and milliliters.

EXTRA:

To convert from amount A which is given in a certain quantity, to another quantity, you sometimes have to multiply and in other cases you need to divide by a certain factor. The factor defines the relationship between the quantities.

Suppose you have 1000 times 1 milliliter then you can find the amount in liters by multiplying that number of milliliters times 0.001.

It is easy to see that

1000 * 1/1000

1000 / 1000

= 1 liter, but that is easy, because I choose an easy number for the amount of milliliters to convert into liters. But it works exactly the same for any amount!

Answer:

The range that you would expect 68.26 percent of the grades to fall is between 53 and 83.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 68, \sigma = 15[/tex]

Middle 68.26% of the grades:

From the

50 - (68.26/2) = 15.87th percentile

To the

50 + (68.26/2) = 84.13rd percentile.

15.87th percentile:

X when Z has a pvalue of 0.1587. So X when Z = -1.

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

[tex]-1 = \frac{X - 68}{15}[/tex]

[tex]X - 68 = -1*15[/tex]

[tex]X = 53[/tex]

84.13rd percentile:

X when Z has a pvalue of 0.8413. So X when Z = 1.

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

[tex]1 = \frac{X - 68}{15}[/tex]

[tex]X - 68 = 1*15[/tex]

[tex]X = 83[/tex]

The range that you would expect 68.26 percent of the grades to fall is between 53 and 83.

Answer:

Step-by-step explanation:

Before you can answer you have to solve the equation for y.

Y = 9/7 x+8/7

Parallel lines have the same slope so would also be 9/7

Perpendicular lines have opposite reciprocal slope so would be -7/9

Answer:

y=-9/7x-8/7

Step-by-step explanation:

9x – 7y=-8

-9x           -9x

-7y=-9x-8

then divide all sides by -7

y=-9/7x-8/7

Answer:

0

Step-by-step explanation:

Since the original: 6 is not either the largest or the smallest, it wouldn't affect the range

The only numbers that can affect the range when replaced are the greatest and the least values: 5 and 9

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36[tex]b^{4}[/tex]

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

The missing information to make the equality true are 3b² and (3b²)². This can be obtained by using the algebraic identity (x+y)² =x² + 2xy + y².

Let the missing information be p and p²

Then the given equation will be: (p+2a)² =p² + 12ab² + 4a²

The algebraic identities is (x+y)² =x² +2xy+y²

Comparing the given equation with the algebra formula we get

y=2a

2xy =12ab² ⇒2x(2a) = 12 ab² ⇒ x = 3b²

Therefore the given equation will be

(3b²+2a)² = (3b²)²+12ab²+4a²

Hence the missing information to make the equality true are 3b² and (3b²)².

Learn more about algebraic identities here:

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Answer:

an angle less than 90 degrees

Step-by-step explanation:

so like this angle /_

this is obtuse \_

this is right |_

Answer:

The missing angle in Jose's triangle is 180 - 103 - 22 = 55° and since both triangles have two congruent pairs of corresponding angles the answer is yes.

Answer:

Yes

Step-by-step explanation:

They are similar by angle-angle similarly theorem

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (Note that if two pairs of corresponding angles are congruent, then it can be shown that all three pairs of corresponding angles are congruent, by the Angle Sum Theorem.)

Answer:

16.39%

Step-by-step explanation:

We have a total number of forms, which are as follows:

-Harry Potter will serve as President AND Ron will serve as Vice President AND anyone will serve as Treasurer:

p1 = 1P11 = 11! / (11-1)! = 11

-Harry Potter will serve as President AND Hermione will serve as Vice President AND anyone who serves as Treasurer is:

p2 = 1P11 = 11! / (11-1)! = 11

- Harry Potter will not serve as President means that no one except Harry Potter (12 remaining students) serve in three locations:

p3 = 12P3 = 12! / (12-3)! = 1320

in total it would be:

11 + 11 + 1320 = 1342

Now the favorable cases are:

- Hermione becomes the president of this group, which means that anyone except Hermione and Harry Potter (11 remaining students) serve in the remaining two places:

p1 = 11P2 = 11! / (11-2)! = 110

- Ron becoming the president of this group means that anyone except Ron and Harry Potter (remaining 8 students) serve in the remaining two places:

p2 = 11P2 = 11! / (11-2)! = 110

adding it would be: 110 + 110 = 220

now then the final probability is the favorable cases among the totals:

220/1342 = 0.1639

Which means that the probability is 16.39%

Answer:

33% probability

1/3

Step-by-step explanation:

100% Hermione though.

Answer:

r = 6 mph and f = 11 mph

Step-by-step explanation:

Representations:  

1) speed of faster cyclist:  f = r + 5

2) speed of slower cyclist:  r

Distances covered:

(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)

Then 5r + 25 + 5r = 55, or, after reducing this equation:

r + 5 + r = 11, or

2r = 6

Then r = 6 mph and f = 11 mph

Answer:

[tex] p_v = 0.027[/tex]

And for this case we have a significance level [tex] \alpha=0.05[/tex] and then:

[tex] p_v <\alpha[/tex]

So then we have enough evidence to reject the null hypothesis. And we can conclude in favor the alternative hypothesis.

Step-by-step explanation:

For this case we have the following hypothesis:

[tex]Null hypothesis: p =p_o[/tex]

[tex]Alternative hypothesis: p \neq p_o[/tex]

And for this case we got the following hypothesis:

[tex] p_v = 0.027[/tex]

And for this case we have a significance level [tex] \alpha=0.05[/tex] and then:

[tex] p_v <\alpha[/tex]

So then we have enough evidence to reject the null hypothesis. And we can conclude in favor the alternative hypothesis.

Answer:

[tex] P(E) =0.25, P(F) = 0.40, P(E \cap F) =0.05[/tex]

[tex] P(E \cup F)= P(E) +P(F) -P(E \cap F)[/tex]

And replacing we got:

[tex] P(E \cup F)=0.25 +0.40 -0.05 = 0.6[/tex]

Step-by-step explanation:

For this case we have the following probabilities given:

[tex] P(E) =0.25, P(F) = 0.40, P(E \cap F) =0.05[/tex]

And we want to find this probability:

[tex] P(E \cup F)[/tex]

And we can use the total probability rule given by:

[tex] P(E \cup F)= P(E) +P(F) -P(E \cap F)[/tex]

And replacing we got:

[tex] P(E \cup F)=0.25 +0.40 -0.05 = 0.6[/tex]

Answer:

0.75

Step-by-step explanation:

One dollar/four quarters-1.00

three quarters-0.75

two quarters-0.50

one quarter-0.25

Hope this helps

Answer:

-75 and 75

Step-by-step explanation:

The two numbers chosen or plotted by them are:

-75 and 75

Step-by-step explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

1. The two numbers they have plotted are unique or different.

2. Also there absolute value is same.

3. The sum of the absolute values of the numbers is 150.

We know that Absolute value of a positive number is a number itself and absolute value of a negative number is it's inverse.

So the two numbers that satisfy the above three properties are:

-75 and 75.

Answer:

3576 infected people

Step-by-step explanation:

We have to apply the following formula, which tells us the number of healthy people:

A = p * (1 - r / 100) ^ t

where,

p = initial population,

r = rate of change per period (days)

t = number of periods (days)

Now, we know that the initial population is 3,662 but there are already a total of 36 infected, therefore:

3662 - 36 = 3626

that would be our p, now, we replace:

A = 3626 * (1 - 34/100) ^ 9

A = 86.16

Therefore, those infected would be:

3662 - 86.16 = 3575.84

This means that there are a total of 3576 infected people.

Answer:

The result of the operation is:

[tex]\left[\begin{array}{ccc|c}1&2&3&6\\0&-1&-2&-8\\0&2&1&5\end{array}\right][/tex]

Step-by-step explanation:

The matrix provided is:

[tex]\left[\begin{array}{ccc|c}1&2&3&6\\1&1&1&-2\\0&2&1&5\end{array}\right][/tex]

The operation to be performed is:

[tex]-R_{1}+R_{2}[/tex] → [tex]R_{2}[/tex]

The operation implies that, we need to replace the values in row 2 by the result of the expression ([tex]-R_{1}+R_{2}[/tex]).

Complete the operation as follows:

[tex]\left[\begin{array}{ccc|c}1&2&3&6\\1&1&1&-2\\0&2&1&5\end{array}\right]\rightarrow \ \left[\begin{array}{ccc|c}1&2&3&6\\(-1+1)&(-2+1)&(-3+1)&(-6-2)\\0&2&1&5\end{array}\right][/tex]

                            [tex]\rightarrow\ \left[\begin{array}{ccc|c}1&2&3&6\\0&-1&-2&-8\\0&2&1&5\end{array}\right][/tex]

Thus, the result of the operation is:

[tex]\left[\begin{array}{ccc|c}1&2&3&6\\0&-1&-2&-8\\0&2&1&5\end{array}\right][/tex]

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

The answer is, 22,163

Step-by-step explanation:

Take the total amount of people (41732) and subtract the amount of males (19569) to get your answer.

41732-19569=22,163

Answer:

7 in 36 or 0.1944

Step-by-step explanation:

The probability of having to stop at least three times is the probability of getting 3 or 4 red lights.

For the first two lights, the probability of getting them red is 20 in 60 (1/3).

For the last two lights, the probability of getting them red is 30 in 60 (1/2).

The probability of all of them being red is:

[tex]P(R=4) = \frac{1}{3}*\frac{1}{3}*\frac{1}{2}*\frac{1}{2}\\P(R=4) =\frac{1}{36}=\frac{1}{36}[/tex]

The probability of three of them being red (3 red + 1 green) is:

[tex]P(R=3) = {(1-\frac{1}{3})*\frac{1}{3}*\frac{1}{2}}*\frac{1}{2}+(1-\frac{1}{3})*\frac{1}{3}*\frac{1}{2}*\frac{1}{2}+\frac{1}{3}*\frac{1}{3}*(1-\frac{1}{2})*\frac{1}{2}+\frac{1}{3}*\frac{1}{3}*(1-\frac{1}{2})*\frac{1}{2}\\P(R=3) =2*(\frac{2}{3}*\frac{1}{3}*\frac{1}{2}*\frac{1}{2})+2*(\frac{1}{3}*\frac{1}{3}*\frac{1}{2}*\frac{1}{2})\\ P(R=3) =\frac{4}{36}+\frac{2}{36}\\ P(R=3) =\frac{6}{36}[/tex]

Therefore, the probability of at least three red lights is:

[tex]P=\frac{1}{36}+\frac{6}{36}=\frac{7}{36}\\ P=0.1944[/tex]

The probability is 7 in 36 or 0.1944.

The probability that the commuter has to stop at least three times is at least 5.55%.

Since on her way to work, a commuter encounters four traffic signals, assuming that the distance between each of the four is sufficiently great that her probability of getting a green light at any intersection is independent of what happened at any previous intersection, and the first two lights are green for forty seconds of each minute; the last two, for thirty seconds of each minute, to determine what is the probability that the commuter has to stop at least three times the following calculation must be performed:

Therefore, the probability that the commuter has to stop at least three times is at least 5.55%.

Learn more in https://brainly.com/question/23273737

Answer:

0, 1/10, 2/10, 3/10, 4/10, or

Step-by-step explanation:

-4/7 is about -0.57 in decimal form,

1/2 is 0.5

So we need to find 5 rational numbers between -0.58 and 0.5

A rational number is a number which can be expressed as a fraction.

0 can be expressed as 0/10

0.1 can be expressed as 1/10

0.2 can be expressed as 2/10

0.3 can be expressed as 3/10

0.4 can be expressed as 4/10

So just use those.

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

[tex] p' = \frac{65}{200} = 0.325 [/tex]

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.

Answer:

Non-Random Sample

Step-by-step explanation:

A sample in which each element has an equal chance of being selected is known as a random sample. Otherwise, a sample is said to be a non - random sample.

An engineer selects five cameras on Monday, Tuesday, and Wednesday at random between 3 pm and 4 pm each day. So, the cameras that are not in the process of production between 3 pm and 4 pm have no chances of being selected.

So, each camera does not have an equal chance of being selected.

This is an example of a non - random sample.

Answer:

$1.66666667 (or just 1.6)

Step-by-step explanation:

$25.000 US dollars divided by 15 = $1.66666667 US dollars

Answer:

(x + 3)^3

Step-by-step explanation:

I don't exactly know how to break this down into small steps. I can tell you that it is something like (x + a)^3

It turns out that a = 3 because all the signs in the given equation are +

Answer

(x + a) = (x + 3)^3

Answer:

triangular prism

Step-by-step explanation:

A triangular prism has 3 rectangular sides and 2 triangles as the base

The answer is : Triangular, Prism

Have a great day!

God bless you!

Answer: the expected profit will be $755 annually.

Explanation: Expected Profit (EP) = Charges (income for the insurance company) - probability of minor accidents X amount payable for a minor accident - probability of mayor accidents X amount payable for a major accident.

800- 1000 (0.2) -5000 (0.05)= 800-20-25= 755

Answer:

I believe it is 12, but I'm not sure.

Step-by-step explanation:

If there is 2 of the first hose, then it can fill the pool twice as fast, so thats 6 hours. (12 divided by 2 = 6).

If the second hose takes 6 hours more than that, then that would be 12 hours.(6+6=12)

Answer:

52 US fluid ounces

Step-by-step explanation:

6 fluid ounces

How many fluid ounces in a pint? There are 16 fluid ounces in a pint.

Answer: 52 fluid ounces