A baseball park has determined that the number of people contained in each vehicle parked in one of their lots has following distribution.Number of People1234more than 4Probability0.200.350.250.10?What is the probability that more than 4 people arrive in a vehicle?

Answer: first box is 20 (1/2)

Second box is 10

Answer:

Answer: first box is 20 (1/2)

Second box is 10

Step-by-step explanation:

Answer:

(a)Jupiter

(b)24.4 km

(c)[tex]1.33 \times 10^{27}$ kg[/tex]

Step-by-step explanation:

Part A

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of [tex]1.898 X 10^{27}$ kg[/tex]

Part B

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

[tex]=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km[/tex]

Part C

[tex]M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg[/tex]

Answer:

The approximate number of gallons consumed by a person in 2010 will be 4.9 gallons

Step-by-step explanation:

Recall that the formula for exponential decrease is given by a function of the form:

[tex]f(x)=A\.(1-r)^x[/tex]

where A is the initial value, r is the rate of decrease, and x is the time elapsed.

In our case, the initial value of gallons of juice per person (at the starting time = 1981) is 16.5 gallons. So A = 16.5 gallons.

the rate of decrease "r" is the decimal form of: 4.1%, that is r = 0.041

So we have:

[tex]f(x)=16.5\.(1-0.041)^x[/tex]

Now we can calculate what the average number of gallons would be in the year 2010, knowing that between 1981 and 2010 there is an elapsed time in years of: 2010-1981 = 29 years. Then:

[tex]f(29)=16.5\,(1-0.041)^{29}=4.9 \,\, gallons[/tex]

The approximate amount consumed per person in 2010 is  4.9 gallons.

The formula that would used to determine the average gallon of juice consumed in 2010 is:  

FV = P (1 - r)^n

FV = Future value  

P = Present value = 16.5 gallons  

R = rate of decrease = 4.1%  

N = number of years = 2010 - 1981 = 29

16.5 x (1 - 0.041)^29  = 4.9 gallons

A similar question was answered here: https://brainly.com/question/6247153

Answer:

BC = 11.2 mi.

Step-by-step explanation:

Tan 66 = [tex]\frac{opposite }{adjacent}[/tex]

2.246 = [tex]\frac{BC}{5}[/tex]

=> BC = 5 × 2.246

=> BC = 11.2 mi.

Answer:

g(x) = -x² - 4

Step-by-step explanation:

In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)

k = -4 because we are moving 4 units down

a = -1 because we are just reflecting over the x-axis

Answer:

The correct answer to the following question will be Option d (181 degrees of freedom).

Step-by-step explanation:

The given values are:

Regression model,

n = 200

Observations,

p = 18

Now,

⇒  [tex]n-p-1[/tex]

On putting the estimated values, we get

⇒  [tex]200-18-1[/tex]

⇒  [tex]181[/tex]

So that the correct choice will be "181 degrees of freedom".

Answer:

[tex]solution \\ {2}^{3} - {3}^{2} \\ = 2 \times 2 \times 2 - 3 \times 3 \\ = 8 - 9 \\ = - 1[/tex]

hope this helps...

good luck on your assignment...

Answer: [tex]5^{11}[/tex]

Explanation: Since these two powers have the same base of 5, you can multiply them together by simply adding their exponents to get [tex]5^{11}[/tex].

A common mistake in this problem would be to multiply

the bases together and give an answer of [tex]25^{11}[/tex].

It's important to understand however that the

5's in this problem cannot be multiplied together

because they are not coefficients, they're bases.

When applying your exponent rules, your base will never change.

Answer:

Step-by-step explanation:

[tex]5^2\cdot \:5^9\\=5^{2+9}\\=5^{11}\\=48828125[/tex]

Answer:

Step-by-step explanation:

Since the value of the car decreases by a common factor each year, the decay is exponential.

An exponential decay function is of the form

[tex]A(t)=A_0(1-r)^t$ where:\\Initial Value, A_0=\$11,000\\$Decay Factor, r=9%=0.09[/tex]

Therefore, the function modeling the car's decay is:

[tex]A(t)=11000(1-0.09)^t[/tex]

We want to determine the car's value in two years.

When t=2

[tex]A(2)=11000(1-0.09)^2\\A(2)=\$9109.10[/tex]

The value of the car in 2 years will be A(t)=$9109.10

Final value of the car after 2 years will be $9109.10

 Value of the car decay by 9%.

Since, 9% is a common factor by which the value of car is decreasing,

Therefore, decay will be exponential.

Expression for the exponential decay is given by,

[tex]P=P_0(1-\frac{r}{100} )^t[/tex]

Here, [tex]P=[/tex] Final price

[tex]P_0=[/tex] Initial price

[tex]r=[/tex] Rate of decay

[tex]t=[/tex] time

  If initial price of the car [tex]P_0=11000[/tex], rate of decay [tex]r=0.09[/tex] and [tex]t=[/tex] Number of years

By substituting the values in the expression,

P = [tex]11000(1-0.09)^2[/tex]

  = 11000(0.91)²

  = $9109.10

   Therefore, final value of the car after 2 years will be $9109.10

Learn more,

https://brainly.com/question/24515212

Answer:

[tex]z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347[/tex]      

The p value for this case would be given by"

[tex]p_v =2*P(z>2.347)=0.0189[/tex]  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

[tex]\bar X=6.6[/tex] represent the sample mean

[tex]s=\sqrt{0.49}= 0.7[/tex] represent the population deviation

[tex]n=270[/tex] sample size      

[tex]\mu_o =6.5[/tex] represent the value that we want to test    

[tex]\alpha=0.1[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:      

Null hypothesis:[tex]\mu= 6.5[/tex]      

Alternative hypothesis:[tex]\mu \neq 6.5[/tex]      

The statistic for this case is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)      

And replacing we got:

[tex]z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347[/tex]      

The p value for this case would be given by"

[tex]p_v =2*P(z>2.347)=0.0189[/tex]  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Answer:

x=18

x= -2

Step-by-step explanation:

x square-7

(_5) x(_5) _7

-5 x-5 _7

25_7

=18

x+3

-5+3

= -2

X=18

X=-2

Step-by-step explanation:

if x = -5, so

Replace 5 here:

x² - 7= (-5)² - 7= 25 - 7 = 18

X+3= -5 +3 = - 2

Hope this helps..

Good Luck

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]  

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

[tex] Confidence= 0.95[/tex] the confidence level desired

[tex] ME =0.03[/tex] represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

The confidence level is 95% or 0.95, the significance is [tex]\alpha=0.05[/tex] and the critical value for this case using the normal standard distribution would be [tex] z_{\alpha/2}=1.96[/tex]

Since we don't have prior information we can use [tex]\hat p= 0.5[/tex] as an unbiased estimator

Also we know that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]  

And rounded up we have that n=1068

Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

Answer:

Step-by-step explanation:

letters can be chosen in 26×25=650 ways

digits can be chosen in 10×9×8=720 ways

total number of ways=650×720=468000 ways.

Answer:

x^4 - 3x^3 - x^2 - 27x - 90 = 0.

Step-by-step explanation:

If 3i is one root then another is -3i.

In factor form we have:

(x + 2)(x - 5)(x - 3i)(x + 3i) = 0

(x^2 - 3x - 10)(x^2 -9i^2) = 0

(x^2 - 3x - 10)(x^2 + 9) = 0

x^4 + 9x^2 - 3x^3 - 27x - 10x^2 - 90 = 0

x^4 - 3x^3 - x^2 - 27x - 90 = 0.

Answer:

23.27%

Step-by-step explanation:

From the statement we know that random sample n is 110 and that p is 75% and x the percentage to evaluate is 78%

We have that the probability would be equal:

P (x > 0.78) =  [tex]P(z <\frac{x-p}{\sqrt{\frac{p*(1-p)}{n} }})[/tex]

Replacing we have:

[tex]P(z <\frac{0.78-0.75}{\sqrt{\frac{0.75*(1-0.75)}{110} }})[/tex]

P ( z < 0.73) =  1 - P ( z => 0.73)

= 1 - 0.7673

= 0.2327

Therefore the probability is 23.27%

9514 1404 393

Answer:

  $226,863.29

Step-by-step explanation:

The amount is given by ...

  A = Pe^(rt)

where principal P is invested at annual rate r for t years.

  A = $47,000×e^(0.0926×17) ≈ $226,863.29

Answer:

the answer is $226,863.29

Answer:

20 - 60 - 135

95

Step-by-step explanation:

All you have to do is add/subtract the factors together

Answer:

5(x - 3)(x + 3)(x^2 + 3)

Step-by-step explanation:

First take out the GCF of the 3 numbers (5):-

= 5(x^4 - 6x^2 - 27)

= 5(x^2 - 9)(x^2 + 3)

= 5(x - 3)(x + 3)(x^2 + 3).

Answer:

This is because 2 is the stem and the leaves are 1, 2, 4, and 5

so the numbers are 21, 22, 24, and, 25

This is because 2 is the stem for the leaves 6 and 7

3 is the stem for the leaf 0

So the numbers are 26, 27, and 30

Hope this helped

Answer:

As you know about the stem and leaf plot

1 |7 7 7 8                   => 17, 17, 17, 18

2|1 2 4 5 6 7             => 21, 22, 24, 25, 26, 27

3|0 2 5 5 6 7 7 8 9  => 30, 32, 35, 35, 36, 37, 37, 38, 39

4|1 2                         => 41, 42

Now we count to complete the table:

16-20       |       4    {17, 17, 17, 18}

21-25       |       4    {21, 22, 24, 25}

26-30      |       3    {26, 27, 30}

31-35       |       3    {32, 35, 35}

36-40      |       5    {36, 37, 37, 38, 39}

41-45       |       2    {41, 42}

Hope this helps!

Answer:

h= pi(r)2/A or h= 3.14 times 7 times 2 divided by A

Step-by-step explanation:

u need to do the opposite of multiplication which is division to find the height

hope this helps

correct me if this is wrong

Answer:

if the net where to be folded into a cube number 6 will be opposite number 1.

Step-by-step explanation:

If the net where folded into a cube the number that will be opposite to number 1 will be 6 . The best way to know this is by simply cutting a paper similar to the shape of the net above and numbering them as required . Folding the paper to form a cube, you will discover that the number 6 is opposite the number 1 value.

Or from the picture you will notice when you close the number 5, the number 4 will be on top of number 1 and the 6 can then be bend  down which makes it opposite the number 1.

Answer:

The engineer must verify and verify through a statistical inference that estimates and possible parameters may emerge, as well as determine what hypothesis tests should be performed to draw the most accurate conclusion.

Step-by-step explanation:

The engineer must assume that there may be more than one reasonable estimator for a different event or experiment; Something that could help you would be to perform an estimation of parameters, in that estimation it is required to know the properties of the estimators; that is to say that the closer the value of an estimator is to the real value of the parameter, it could be said that it is the most efficient or exact extimator.

Answer:

Brainliest!!!

Step-by-step explanation:

See picture!!

Answer:

29

Step-by-step explanation:

Answer:

First write them in positive exponent form

(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]

(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)

Simplify the terms

2³/3³ × ( 3³ / 5³ ÷ 2³/5³)

Solve the terms in the bracket

2³/3³ × (3³/5³×5³/2³)

You will get

2³/3³ × 3³/2³ = 1

They will cancel each other so the answer will be 1

Hope this helps.

Answer:

649,006

Step-by-step explanation:

Six hundred and forty nine thousand= 649,000

and six so we have

649006

THE ANSWER IS 649,006 HOPE IT HELPS

Answer:

base side = 9.037 inches

height = 6.024 inches

Minimum cost = 196 cents

Step-by-step explanation:

The volume of the bin is given by:

[tex]Volume = side^2 * height[/tex]

and the surface area of the bin is given by:

[tex]Surface\ area = side^2 + 4*side*height[/tex]

The cost of the bin will be:

[tex]Cost = 0.8*side^2 + 0.6*4*side*height[/tex]

[tex]Cost = 0.8*side^2 + 2.4*side*height[/tex]

From the volume equation, we have:

[tex]height = 492 / side^2[/tex]

Now the cost will be:

[tex]Cost = 0.8*side^2 + 2.4*side*492/side^2[/tex]

[tex]Cost = 0.8*side^2 + 1180.8/side[/tex]

To find the side that gives the minimum cost, we can find the derivative of Cost in relation to side and then make it equal zero:

Abbreviating Cost as C and side as s, we have:

[tex]dC/ds = 0.8*2*s - 1180.8/s^2[/tex]

[tex]1.6s - 1180.8/s^2 = 0[/tex]

[tex]1.6s = 1180.8/s^2[/tex]

[tex]1.6s^3 = 1180.8[/tex]

[tex]s^3 = 738[/tex]

[tex]s = 9.037\ in[/tex]

Finding the height of the bin, we have:

[tex]height = 492 / 9.037^2[/tex]

[tex]height = 6.024\ in[/tex]

The minimum cost is:

[tex]Cost = 0.8*9.037^2 + 1180.8/9.037 = 196\ cents[/tex]

Answer:

a. 16 years

b. 50 years

Step-by-step explanation:

Let us assume the age of Ahsan be X

And, the age of his mother be Y

It is mentioned in the question that the sum of the both ages to be 61 years and their difference is 29 years

So now the equation is as follows

X + Y = 61 .............................. (1)

-X + Y = 29 .............................. (2)

Now solve this

We get

2Y = 90

Y = 45 = Ahsan mother age age

Now put the value of Y in any of the above equation

So X would be

X = 61 - 45

= 16 i.e ahsan age

The mother age is

= 45 years + 5 years

= 50 years

The 5 years come from

= 21 years - 16 years

= 5 years

Answer:

p value is 0.1343

Step-by-step explanation:

Null: u>= 442

Alternative: u < 442

Using the formula for z score:

(x - u)/sd/√n

Where x is 438, u = 442 sd can be determined from the variance = √variance =√576 = 24 and n = 44

z score = 438-442 / (24/√44)

z score = -4/(24/6.6332)

z = -4/3.6182

z =-1.1055

Now let's find the p value at 0.1 significance level using a z score of -1.1055, using a p value calculator, p value is 0.1343 which greatest than 0.1 meaning the day is not sufficient enough to conclude that the machine is underfilling the bags.

Answer:

A 61.00

Step-by-step explanation:

51 Added to 10 Equals 61.00 which is the Cost of 10 Bags of chicken Wings. Your Welcome.

Answer:2x2

Step-by-step explanation: