Evaluate the expression when b= 2 and c=-5. -b+6c

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.

This means that [tex]p = \frac{124}{500} = 0.248[/tex]

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

By the Central Limit Theorem, it is equal to the sample proportion of 0.248.

Answer:

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Answer:

Option D

Step-by-step explanation:

Given f(x) = [tex]\sqrt[3]{4x}[/tex]

g(x) = 2x + 3

Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

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

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ [tex]-\frac{3}{2}[/tex]

Therefore, Option D will be the correct option.

Answer:

1/25, 1, 625

Step-by-step explanation:

The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = [tex]5^{2x}[/tex]

Put x = -1

f(-1) = 5⁻² = 1/5² = 1/625

Put x = 0

f(0) = 5⁰ = 1

Put x = 2

f(2) = 5²ˣ² = 5⁴ = 625

Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".

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Answer:

12m

7m

2520 m³

Step-by-step explanation:

Answer:

h=7m

top width=12m

v=l*w*h

=28*12*10=3360

volume of the top=3*20*12

720

v of the shape is= 3360-720

=2649

Answer:

[tex]=\sqrt[10]{y}[/tex]

So option c is the correct answer

Step-by-step explanation:

[tex]\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}[/tex]

iii; iv; and v

Step-by-step explanation:

I think

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

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Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

Answer:

225 and greater

Step-by-step explanation:

900/4 or 900 cents/ 4 cents equals 225 on calculator

We use 225 minutes for Plan B to be less expensive than plan A.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

For plan A,

We can pay 23 cents per minute.

This can be represented by the equation,

C= 0.23m

For plan B,

We can pay 19 cents per minute plus a flat fee of $9.00.

This can be represented by the equation,

C = 0.19m + 9.00

Now, To find the minutes for plan B is less expensive than plan B

We can write an inequality that represent,

Plan A < Plan B

0.23m < 0.19m + 9

0.23m - 0.19m < 9

0.04m < 9

Divide 0.04 both side,

m < 225

Thus, We use 225 minutes for Plan B to be less expensive than plan A.

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Answer:

b

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

leslie wants to carry no more than 20 pounds. this means she wants to carry less than 20 pounds

w < 20

Answer:

4in

Step-by-step explanation:

The width of the rectangle is

36:9=4

Answer:

hey, there is no attached photo. so I don't know how to help

Answer:

D. 464 ft²

Step-by-step explanation:

Area of trapezoidal prism = h(b + d) + l(a + b + c + d)

Where,

h = 4 ft

a = 5 ft

b = 6 ft

c = 5 ft

d = 12 ft

l = 14 ft

Plug in the values into the formula

Area of trapezoidal prism = 4(6 + 12) + 14(5 + 6 + 5 + 12)

= 4(18) + 14(28)

= 72 + 392

= 464 ft²

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Answer:

666.666666666667%

Step-by-step explanation:

Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%

Given:

The given sets are:

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]

To find

The set [tex]B\cap U[/tex].

Solution:

We have,

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]B=\{2,4,6,8\}[/tex]

Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.

[tex]B\cap U=\{2,4,6,8\}[/tex]

[tex]B\cap U=B[/tex]

Therefore, the correct option is A.

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

Step-by-step explanation:

[tex]10 - 5 \frac{2}{3} \\ = 10 - \frac{17}{3} \\ = \frac{10 \times 3}{1 \times 3} - \frac{17}{3} \\ = \frac{30 - 17}{3} \\ = \frac{13}{3} \\ = 4 \frac{1}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

3

Step-by-step explanation:

-48/16 = 48/16

-48/16 = -3/1 = -3

How to take a screenshot on an HP laptop

Press the Windows key and Print Screen at the same time to capture the entire screen. ...

Open an image editing program (Microsoft Paint, GIMP, Photoshop, and PaintShop Pro will all work).

Open a new image and press CTRL + V to paste the screenshot.

Answer:

optin 2

Step-by-step explanation:

swap x and y:

[tex]y = 3^x\\\\x = 3^y\\\\log (x) = y log(3)\\\\y = \frac{log (x)}{log(3)} \\\\y = log_3(x)[/tex]      [tex][ using \ the\ rule :\frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)][/tex]

Answer:

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

Answer:

x= 55

Step-by-step explanation:

Answer:

x is 55 degrees

Step-by-step explanation:

since it is a right angle set up the equation

20+x+15=90

then solve to get 55

Answer:

C

Step-by-step explanation:

Street name has nothing to do with numerical values, therefore it cannot be quantitative. If we take the two qualitative answers left, one of them says something about numbers, so it cannot be that one. C is the only one left over after process of elimination.