22,056 people went to the baseball game on Sunday. Half as many people came on money. How many people were at the baseball game on Sunday and Monday altogether?

Answer:

[tex]n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247[/tex]

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

[tex]\sigma = 80[/tex] represent the deviation

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex]   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be [tex]z_{\alpha/2}=1.960[/tex], replacing into formula (b) we got:

[tex]n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247[/tex]

So the answer for this case would be n=247 rounded up to the nearest integer

Answer:

32

Step-by-step explanation:

if u do pythagoras, sq root of 20^2-12^2=16

16x2=32

Answer:

$638641.33

Step-by-step explanation:

Adam earns $45,000 in his first year.

His salary increases by 3% each successive year. Therefore, his salary the next year is 103% of his previous year.

This is a geometric sequence where the:

(a)

Sum of  geometric series[tex]=\dfrac{a(r^n-1)}{r-1}[/tex]

Substituting the given values, Adam's total earnings over n years

[tex]=\dfrac{45000(1.03^n-1)}{1.03-1}\\\\$Adam's Total Earnings=\dfrac{45000(1.03^n-1)}{0,03}[/tex]

(b)When n=12 years

[tex]\text{Adam's Total Earnings for the first 12 years=}\dfrac{45000(1.03^{12}-1)}{0.03}\\=\$638641.33$ (correct to the nearest cent)[/tex]

Answer: Thr amount spent to manufacture each radio.

Step-by-step explanation: I put two and two together...lol...plz brainlest.

Answer:

The amount spent to manufacture each radio.

Step-by-step explanation:

125 is the start up cost and each radio costs 5.25 to make.

Write z in exponential form:

[tex]z=1-i=\sqrt2 e^{-i\frac\pi4}[/tex]

Then taking the logarithm, we get

[tex]\mathrm{Ln}(z)=\ln(\sqrt2) + \ln e^{-i\frac\pi4} = \boxed{\ln(\sqrt2)-\dfrac\pi4i}[/tex]

so a is the correct answer.

Answer:2x−5=−5

Add 5

to both sides of the equation.

2x=−5+5

Add −5

and 5

.

2x=0

Divide each term by 2

and simplify.

Divide each term in 2x=0

by 2

.

2x2=02

Cancel the common factor of 2

.

Cancel the common factor.

2

x2=02

Step-by-step explanation:

Apply the distributive property.

x⋅2+2⋅2−9=−5

Move 2

to the left of x

.

2⋅x+2⋅2−9=−5

Multiply 2

by 2

.

2x+4−9=−5

Subtract 9

from 4

.

Answer:

Yes

Step-by-step explanation:

Yes.  Here's why:  We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x.  The resulting graph is true for all x values and for all y values; it passes the vertical line test.

Answer:

yes. ^^^^^^^^

Step-by-step explanation:

We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x.  The resulting graph is true for all x values and for all y values; it passes the vertical line test.

Answer:

b) False

Explanation:

It is not needed to keep 50/50 split.

Answer:

[tex] (x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)[/tex]

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m=\frac{4-6}{8-3}= -\frac{2}{5}[/tex]

And for this case we can use the first point to find the intercept like this:

[tex] 6 = -\frac{2}{5}(3) +b[/tex]

And solving we got:

[tex] b = 6 +\frac{6}{5}= \frac{36}{5}[/tex]

And then the line equation would be given by:

[tex] y = -\frac{2}{5}x +\frac{36}{5}[/tex]

Step-by-step explanation:

For this case we have the following two points given:

[tex] (x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)[/tex]

And for this case we want an equation for a line with the two points given by:

[tex] y = mx+b[/tex]

Wher m is the slope and b the y intercept. We can find the slope with this formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m=\frac{4-6}{8-3}= -\frac{2}{5}[/tex]

And for this case we can use the first point to find the intercept like this:

[tex] 6 = -\frac{2}{5}(3) +b[/tex]

And solving we got:

[tex] b = 6 +\frac{6}{5}= \frac{36}{5}[/tex]

And then the line equation would be given by:

[tex] y = -\frac{2}{5}x +\frac{36}{5}[/tex]

Answer:

Set the height of the bar to 5

Step-by-step explanation:

Since there are 5 quantities between 20-29, So set the height up to 5

Answer:

d. no solution

Explanation:

Step 1 - Subtract nine from both sides of the equation

[tex]|x| + 9 \leqslant 7 \\ |x| + 9 - 9 \leqslant 7 - 9 \\ |x| \leqslant - 2[/tex]

Step 2 - Remove the absolute value

[tex] |x| \leqslant - 2 \\ 2 \leqslant x \leqslant - 2 \\ 2 \leqslant - 2[/tex]

Therefore, since positive two is not less than or equal to negative two, there is no solution.

Answer:

C: Multiply the first equation by -2

Step-by-step explanation:

-2 * (x + 3y = 16) = -2x-6y=-32

The resulting equation would be -2x-6y=-32

In the next if you add the two equations, you will successfuly eliminate x and can now solve for y.

-2x-6y=-32

2x + y = -18

Answer:

c

Step-by-step explanation:

x+3y=16________________eqn 1

2x+y=-18_______________eqn 2

multiply first equation by - 2

-2(x+3y=16)

-2x-6y= -32______________eqn 3

using elimination method

-2x-6y= -32

+

2x+y= -18

0-5y= -50

-5y= -50

divide both sides by -5

-5y/5= -50/5

y=10

substitute y in eqn 2 to find the value of x

2x+y= -18

2x+(10)= -18

2x+10= -18

2x= -18-10

2x= -28

divide both sides by 2

2x/2= -28/2

x= -14

Answer:

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

Step-by-step explanation:

Using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

substitute

[tex]d = \sqrt{((-3) - (-6))^2 + ((9)-(8))^2}[/tex]

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

Answer:

Step-by-step explanation: If the sum of two equal even numbers is 400, the numbers will be 200+200. Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.  

i guss this would be helpful :]

Answer:

Step-by-step explanation:

Answer:

Cost of tiling the floor of the restaurant = $346.5

Step-by-step explanation:

Since Mario's restaurant is in the shape of a composite figure.

Area of the composite figure = Area of the rectangle + Area of trapezoid

Area of the rectangle = 3 × 9

                                    = 27 square feet

Area of the trapezoid = [tex]\frac{1}{2}(b_{1}+b_{2}).h[/tex]

Here [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the parallel sides of the trapezoid and 'h' is the distance between these sides.

Area of the trapezoid = [tex]\frac{1}{2}[12+(31-9)]\times 12[/tex]

                                    = 17 × 12

                                    = 204 square feet

Total area of the floor = 27 + 204

                                     = 231 square feet

Cost of the tiles = $1.5 per square feet

Total Cost of tiling the floor of Mario's restaurant will be,

= per square feet cost × Area of the floor

= 1.50 × 231

= $346.5

Answer:

THE ANSWER IS .B  346.50

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-8 14 = 42 (He subtracted 14 from 42)

-8p = 28 (Which is how he got 28)

p = -3.5 (He took 28 divide by -8 which got him -3.5)

Answer:

C

Step-by-step explanation:

C

Answer: You can't. Read explanation.

Step-by-step explanation:

You can't subtract an expression from an equation. If you said something like subtract 8b-ab+7a from 3a-9ab+b that would work, but not here.

Let's just assume You mean it as 8b-ab-7a, then (3a-9ab+b)-(8b-ab-7a) = -8ab + 10a - 7b.

Hope that helped,

-sirswagger21

Answer:

[tex]\frac{14}{125}\times 100=11.2\%[/tex]

Answer:

21 x^2

Step-by-step explanation:

12x^2+9x^2

Combine like terms

x^2(12+9)

x^2(21)

21 x^2

Answer:

(A)[tex]2^n[/tex]

Step-by-step explanation:

Given a set with "n" number of elements, the collection of all subsets of the set is referred to as the Power set of the given set.

To find the  number of possible subsets of any set, we use the formula: [tex]2^n[/tex]

Take for example the set: A={2,3,4)

A has 3 elements, therefore n=3

The number of possible subsets of A is: [tex]2^3=8$ subsets[/tex]

Answer:

25% decrease

Step-by-step explanation:

Take the original price and subtract the new price

450-337.50 =112.50

Divide by the original price

112.50/450=.25

Multiply by 100% to change to percent form

25%

Answer:

b. unlikely

Step-by-step explanation:

I don't really know a step by step explanation :( sry

Answer: the value of the annuity when you retire is $130919

Step-by-step explanation:

We would apply the future value which is expressed as

FV = C × [{(1 + r)^n - 1}/r]

Where

C represents the yearly payments.

FV represents the amount of money

in your account at the end of 10 years.

r represents the annual rate.

n represents number of years or period.

From the information given,

r = 7% = 7/100 = 0.07

C = 20/100 × 47400 = $9480

n = 10 years

Therefore,

FV = 9480 × [{(1 + 0.07)^10 - 1}/0.07]

FV = 9480 × [{1.967 - 1}/0.07]

FV = 9480 × 13.81

FV = $130919

Answer:

y = [tex]\frac{1}{2}[/tex]x - 5

Step-by-step explanation:

Use rise over run to find the slope, which will get you 1/2 as the slope

The y-intercept is at (0, -5) so put -5 in the equation

Answer: y= 1/2x + -5

Step-by-step explanation: slope is 1/2 because the line is going up one and over 2 (rise over run),  the y intercept is -5 because that is where the line hits on the y axis

Answer:

0.534

Step-by-step explanation:

p(0 losses) = 0.7² = 0.49

p(1 loss) = 2 x 0.3 x 0.7 = 0.42

p(2 losses) = 0.09

This is a conditional probability problem. If the number of people hospitalized is 0 or 1, then the  total loss will be less than 1. However, if two people are hospitalized, the probability that the  total loss will be less than 1 is 0.5. we need to exclude the 50% x 0.09 chance of a double loss costing more than 1. So

P(Cost < 1)

= 0.49 + 0.42 +0.045

= 0.955

P(0 losses | Cost < 1)

= P(0 losses and Cost < 1) / P(Cost < 1)

= 0.49 / 0.955 = 0.513

P(1 loss | Cost < 1)

= 0.42 / 0.955 = 0.440

P(2 losses | Cost < 1) = 0.045 / 0.955 = 0.047

Now take the expectation:

E[X] = (0)(0.513) + (1)(0.440) + (2)(0.047)

= 0.440 + 0.094

= 0.534

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

The probability of the package being refunded can be calculated as:

[tex]P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169[/tex]

Answer:

  D.  x is all real numbers

Step-by-step explanation:

The graph only goes from -11 to +11 in the horizontal direction, but that domain is not a choice. Apparently, we're to assume the graph extends to infinity both to the left and the right.

The domain is the horizontal extent of the function, so is ...

  x is all real numbers

Answer:

14/50 or 7/25

Step-by-step explanation:

cos x = adj/hyp

adj = 14

hyp = 50

---------

you ca learn more about trig

sin x = opp/hyp

tan x = opp/adj

The value of the trigonometric ratio, cos x in a right angle triangle XYZ is   [tex]\dfrac{14}{50}[/tex].

Trigonometric ratios – The relation between the angles and the sides of a right-angle triangle is called Trigonometric ratios.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given figure a right-angle triangle XYZ we know that

ZY is the length of the perpendicular. XY is the base of the triangle and  ZX is the hypotenuse.

By trigonometric ratio, we know that

[tex]Cos \Theta = \dfrac{adjacent}{hypotenuse}[/tex]

Where [tex]\Theta[/tex] is the acute angle between the base and the Hypotenuse

On substituting value,

[tex]Cos \Theta = \dfrac{14}{50}[/tex]

The value of the trigonometric ratio, cos x in a right angle triangle XYZ   [tex]\dfrac{14}{50}[/tex].

Learn more about Trigonometric ratios here:

https://brainly.com/question/25122825

#SPJ2

Answer:

[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex]   (b)

The critical value for 80% of confidence interval now can be founded using the normal distribution the significance level would be 20% and the critical value [tex]z_{\alpha/2}=1.28[/tex], replacing into formula (b) we got:

[tex]n=(\frac{1.28(1.8)}{0.12})^2 =368.64 \approx 369[/tex]

So the answer for this case would be n=369 rounded up to the nearest integer

Step-by-step explanation:

We know the following info given:

[tex] \sigma = 1.8[/tex] represent the standard deviation

[tex]\mu = 5.8[/tex] the true mean that she believes

[tex] ME = 0.12[/tex] represent the margin of error

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (a)

And on this case we have that ME =+0.12 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex]   (b)

The critical value for 80% of confidence interval now can be founded using the normal distribution the significance level would be 20% and the critical value [tex]z_{\alpha/2}=1.28[/tex], replacing into formula (b) we got:

[tex]n=(\frac{1.28(1.8)}{0.12})^2 =368.64 \approx 369[/tex]

So the answer for this case would be n=369 rounded up to the nearest integer

Step-by-step explanation:

178.25

The number 5 is in the place of one's so the value of 5 is 5