(1 point) Since 1966, 45% of the No. 1 draftpicks in the NBA have been centers. identify the population A. all No.1 draftpick centers in the NBA since 1966 B. all NBA players since 1966 C. all No.1 draftpicks in the NBA since 1966 D. None of the above identify the specified attribute A. being a No.1 draftpicks in the NBA B. being an NBA player C. being a center D. None of the above is the proportion 0.45 (45%) a population proportion or a sample proportion? A. population proportion B. sample proportion C. None of the above​

In the first case

Model A

The exponential equation for this is

y< 8000(1-12%)^t

y < 8000(0.88)^t

For that of model B

y ≤ 10 000 ( 1- 15%)^t

y ≤ 10000(0.85)^t

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

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

There is some unnecessary information in the problem, first, it should be removed.

"The dosage of cough medicine for a child 4 to 6..."

"2 days"

Listing the age and days don't matter here, it's the rest of the problem that matters!

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

"1/2(a teaspoon) every 4 hours,"  This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.

1/2 x 5 = 2 1/2 (teaspoons)

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

Good luck! :)

~pinetree

Mean must be set to 491.775 ml in order for 95% probability.

A normal distribution in statistics is defined as the type of continuous probability distribution where the datas are arranged in a symmetrical bell shaped graph.

Given that,

Probability that the bottle is not underfilled = 95% = 0.95

That is, the probability that the bottle is filled = 0.95

Half liter = 500 ml

z = (x - μ) / σ

We know that the z value for 95% probability is 1.645 below the mean.

So substituting,

1.645 = (500 - μ) / 5

500 - μ = 1.645 × 5

500 - μ = 8.225

μ = 500 - 8.225

μ = 491.775

Hence the mean is 491.775 ml.

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The complete question is as given below.

The amount of fill in a half liter soft drink bottle is normally distributed. The process has a std. deviation of 5 ml. The mean is adjustable.

Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be underfilled? (round your answer to 2 decimal places.)

9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

The chance in percentage (%) that the child being heterozygous for the trait is 50% chance of a healthy heterozygous (Aa) carrier child & 25% chance of a homozygous recessive (aa) child.

The Punnett square below makes it clear that at each birth, there will be a 25% chance of you having a normal homozygous (AA) child, a 50% chance of a healthy heterozygous (Aa) carrier child like you and your mate, and a 25% chance of a homozygous recessive (aa) child who probably will eventually die from this condition.

If both parents are carriers of the recessive allele for a disorder, all of their children will face the following odds of inheriting it:

25% chance of having the recessive disorder

50% chance of being a healthy carrier

25% chance of being healthy and not have the recessive allele at all.

Hence the answer is The chance in percentage (%) that the child being heterozygous for the trait is 50% chance of a healthy heterozygous (Aa) carrier child & 25% chance of a homozygous recessive (aa) child.

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Given Information:

Mean of retirement accounts = μ = $490,000

Standard deviation of retirement accounts = σ =  $55,000

Sample size = n = 80

Answer:

$484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

The amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% is given by

\($ P( \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } }) = 0.20\)

The z-score corresponding to 0.20 is -0.84

\(\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } } = z \\\\\bar{x} - \mu = z \cdot\frac{\sigma}{\sqrt{n} } \\\\\bar{x} = \mu + z \cdot\frac{\sigma}{\sqrt{n} } \\\\\bar{x} = 490,000 - 0.84 \cdot\frac{55,000}{\sqrt{80} } \\\\\bar{x} = 490,000 - 0.84(6149.186)\\\\\bar{x} = 490,000 - 5,165.32\\\\\bar{x} = 484,834.68\\\)

Rounding off to the nearest whole number

\(\bar{x} = \$ 484,835\\\)

Therefore, $484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.

How to use z-table?

In the z-table find the probability of 0.20

Note down the value of that row, it would be -0.8.

Note down the value of that column, it would be 0.04.

So the z-score is -0.84

Answer:

Step-by-step explanation:

Volume:

Given r = 5 cm and V = 110 cm³, find h:

Curved surface area:

Correct choice is C

Answer:

(A) 440 cm²

Step-by-step explanation:

Volume of a right circular cylinder  =  1100 cm²

πr2 h =  1100 cm³

Here r = 5

(22/7) ⋅ (5)2 ⋅ h  =  1100

h  = 2/7

Curved surface area of cylinder  =  2 πr h

 =  2 ⋅ (22/7) ⋅ 5 ⋅ (2/7)

=  440 cm²

So, the curved surface area of cylinder is  440 cm²

The graph will have a slope of 15 and is attached with the answer below.

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.

The equation can be written as:-

y = kx

The value of k will be calculated as :-

60 = k x 5

k = 60 / 5

k = 12

The equation will be:-

y = 12x

The graph of the linear relation is attached with the answer below.

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Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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Answer:

54.7

Step-by-step explanation:

all you have to do id divide 136.75 by 2.5

Hope tis helps

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

19

Step-by-step explanation:

point y is 90

x is 3x - 5

w is 2x

so

3x - 5 + 2x = 90

5x - 5 = 90

5x = 95

x = 19

The value of x in the right triangle is 10.43 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in the triangle is 180 degrees. Therefore, let's find the value of x in the right triangle.

tan 41 = opposite / adjacent

opposite side = x

adjacent side = 12

Therefore,

tan 41° = x / 12

cross multiply

x = 12 tan 41°

x = 12 × 0.86928673781

x = 10.4314408538

Therefore,

x = 10.43 units

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Nate made 18 loaves of bread and gave an equal number to each of his 9 neighbors, resulting in each neighbor receiving 2 loaves of bread.

The problem provides us with some information about Nate's bread-making and bread-giving activities. We know that he made 8 loaves of bread on Monday and 10 more on Tuesday, for a total of 18 loaves. We also know that he gave an equal number of loaves to each of his 9 neighbors.

To find out how many loaves each neighbor received, we need to divide the total number of loaves (18) by the number of neighbors (9). This gives us:

18 loaves / 9 neighbors = 2 loaves per neighbor.

This means that each neighbor received 2 loaves of bread from Nate. We can check this by multiplying 2 (the number of loaves per neighbor) by 9 (the number of neighbors):

2 loaves/neighbor x 9 neighbors = 18 loaves

So, we can see that the math checks out and each neighbor received 2 loaves of bread from Nate.

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Answer:

\(\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}\)

Step-by-step explanation:

\(g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1\)

\(g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}\)

Answer:

Step-by-step explanation:

A = l × W

A = 4 × 2.5

A = 10 ft squared  

The length of PQ is 2√29.

The coordinates of M are (1, 0).

The equation of the perpendicular bisector of PQ is y = (-2/5)x + 2/5.

To calculate the length of PQ, we can use the distance formula. The distance formula is given by:

Using the coordinates of P(3, 5) and Q(-1, -5), we have:

d(PQ) = √[(-1 - 3)²+ (-5 - 5)²]

= √116

= 2√29

Therefore, the length of PQ is 2√29.

To find the coordinates of the midpoint M of PQ, we can use the midpoint formula. The midpoint formula is given by:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the coordinates of P(3, 5) and Q(-1, -5), we have:

M = ((3 + (-1)) / 2, (5 + (-5)) / 2)

= (2 / 2, 0 / 2)

= (1, 0)

Therefore, the coordinates of M are (1, 0).

To find the equation of the perpendicular bisector of PQ, we need to find the slope of PQ, and then determine the negative reciprocal of that slope. The slope of PQ is given by:

m(PQ) = (y2 - y1) / (x2 - x1)

Using the coordinates of P(3, 5) and Q(-1, -5), we have:

m(PQ) = (-5 - 5) / (-1 - 3)

= (-10) / (-4)

= 5/2

The negative reciprocal of 5/2 is -2/5. Therefore, the slope of the perpendicular bisector is -2/5.

Since the perpendicular bisector passes through the midpoint M(1, 0), we can use the point-slope form of a line to find the equation:

y - y₁ = m(x - x₁)

y - 0 = (-2/5)(x - 1)

y = (-2/5)x + 2/5

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1.  Elijah is the smallest sibling among his brother who is 4 years older than her and Bryan is the eldest sibling who is twice as James, what is his age of James if the sum of their ages is 80 years?

2. If the equation in step B had been 2(x + 4) = 80,  the changed statement would be Bryan is 80 years old.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Here we are converting a numerical expression into a statement.

Given,

Step A

Let x = Elijah’s age.

x + 4 = James’s age

2(x +4) = Bryan’s age.

Step B

x + x + 4 + 2(x +4) = 80.

Step C 4x + 12 = 80

X = 17

Step D James is 21.

The verbal problem to the algebra test can be stated as

Elijah is the smallest sibling among his brother who is 4 years older than her and Bryan is the eldest sibling who is twice as James, what is the age of James if the sum of their ages is 80 years?

If the equation in step B had been 2(x + 4) = 80,  the changed statement would be Bryan is 80 years old.

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Answer:

A. 1 over z raised to the twelfth power

Step-by-step explanation:

Hope this helps! :))
Please tell me if this is incorrect

Answer:

1 over z raised to the twelfth power

Step-by-step explanation:

Answer:

If the value of our test statistics is less than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

If the value of our test statistics is more than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Step-by-step explanation:

We are given that the means of two populations using paired observations. Suppose that \(\bar D\) = ​3.125, \(s_D\) =​ 2.911, and n =​ 8, and that you wish to test the hypothesis below at the​ 10% level of significance.

Let D = difference between the two paired observations.

So, Null Hypothesis, \(H_0\) : \(\mu_D\) = 0    

Alternate Hypothesis, \(H_A\) : \(\mu_D\) > 0

The test statistics that would be used here is Paired t-test for dependent samples;

                     T.S. =  \(\frac{\bar D-\mu_D}{\frac{s_d}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar D\) = ​3.125, \(s_D\) =​ 2.911, and n =​ 8

The decision rule for rejecting the null hypothesis in the given hypothesis​ test would be;

The radius of the given circle is 2 units.

Here, we are given an equation of a circle as follows-

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

The general form of the equation of a circles is -

\((x- h)^{2}+ (y-k)^{2} = r^{2}\)

where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.

Let us convert the given equation into the general form by completing the squares as follows -

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)

\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)

\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)

\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)

\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)

\((x+4)^{2} + (y - 3)^{2} = 4\)

\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)

Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.

Therefore, the radius of the given circle is 2 units.

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Answer:

Step-by-step explanation

I:

Answer:

She sold 40 tacos and 80 burritos.

Step-by-step explanation:

Let's define the variables:

x = number of tacos sold

y = number of burritos sold

if Skylar sold x tacos, and each taco costs $3, then the total amount she gets is:

$3*x

And if she sold y burritos, and each one costs $6, then the total amount she gets is:

$6*y

combining these two, she has:

$3*x + $6*y

We know that she made a total revenue of $600, then we have the equation:

$3*x + $6*y = $600

We also know that in total, she sold 120 tacos and burritos, then:

x + y = 120

We have the system of equations:

$3*x + $6*y = $600

x + y = 120

To solve this, we need to start by isolating one of the variables in one of the equations, i will isolate x in the second equation:

x = 120 - y

Now we can replace that in the other equation to get

$3*(120 - y) + $6*y = $600

-$3*y + $360 + $6*y = $600

($6 - $3)*y + $360 = $600

$3*y + $360 = $600

$3*y = $600 - $360 = $240

y = $240/$3 = 80

She sold 80 burritos, and we know that:

x + y = 120

x + 80 = 120

x = 120 - 80 = 40

She sold 40 tacos.