A cat has 24 whiskers by its nose. A manatee has 25 times as many whiskers. How many whiskers does a manatee have?

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to conclude that the vans underperform the manufacturer's MPG rating

Step-by-step explanation:

From the question we are told that

   The population mean is   [tex]\mu = 46.4 \ miles/gallon[/tex]

    The sample size is  n  =  140

     The sample mean is  [tex]\= x = 46.0[/tex]

    The standard deviation is  [tex]\sigma = 2.6[/tex]

     The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is  [tex]H_o : \mu = 46.4[/tex]

   The alternative hypothesis is [tex]H_a : \mu < 46.4[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

=>   [tex]t = \frac{ 46 - 46.4 }{ \frac{ 2.6 }{\sqrt{140} } }[/tex]

=>   [tex]t = -1.8203[/tex]

From the z table  the area under the normal curve to the left corresponding to  

-1.8203 is  

     [tex]P(Z < -1.820 ) = 0.03438[/tex]

Generally the p-value is mathematically represented as

        [tex]p-value = P(Z < -1.820 ) = 0.03438[/tex]

From the value obtained we see that the p-value >   [tex]\alpha[/tex] hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to conclude that the vans underperform the manufacturer's MPG rating

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )

Answer:

-5.25>-5 3/10

Step-by-step explanation:

let's convert -5 3/10 into a decimal

which is

-5.3 or -5.30

-5.25 and -5.30

because it's negative, the lowest number is the greatest number so

-5.25 is greater than -5.30

Answer:

24 direct proportional with height to remove proportional needs to given constant

24 = k 3

24 ÷ 3= K

k = 8

Step-by-step explanation:

value of k is 8

Answer:

The value is  [tex]E(X) = \$ 421.6[/tex]

Step-by-step explanation:

From the question we are told that

The probability that a 22 year  old  female in US will die within one year is    p= 0.00044

The outcome if she dies within one year is that the company losses $30,000

Generally the probability that  a 22 year  old  female in US will live more than one year is

           [tex]q = 1 -p[/tex]

=>        [tex]q = 1 -0.00044[/tex]

=>        [tex]q = 0.99956[/tex]

The outcome if she lives more than one year is that the company gains $435

Generally the  the company's expectation is mathematically represented as

           [tex]E(X) = -30000 * p + 435 * q[/tex]

The negative sign shows that the company is loosing the fund

So  

       [tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]

=>    [tex]E(X) = \$ 421.6[/tex]

Answer:

hmm i think "frost" would be good in my honest opinon

Step-by-step explanation:

Answer:

April if she is a female. Oliver if he is a male.

Step-by-step explanation:

Answer:

0.22

Step-by-step explanation:

Hope this helps!!!

Answer:

It is .22! :D

Step-by-step explanation:

Given:

The polynomial is

[tex]r^3-r^2+9r[/tex]

To find:

Based on its number of terms name for the given polynomial.

Solution:

We have,

[tex]r^3-r^2+9r[/tex]

Here, number of terms is 3.

Any polynomial with three terms is known as trinomial.

Therefore, based on its number of terms the given polynomial [tex]r^3-r^2+9r[/tex] is called a trinomial.

The polynomial is called cubic polynomial.

The standard equation of a polynomial is expressed as:

The type of a polynomial function depends on the degree and number of terms.

Given the polynomial function expressed as [tex]r^3 - r^2 + 9r[/tex], since there are just three terms in the polynomial function, hence the polynomial is called a cubic polynomial.

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Answer:

The correct answer is y = 12x + 9

Step-by-step explanation:

There is a formula called y = mx + b where m is the slope and b is the y-intercept

The y-intercept is 9 so y = mx + 9

The slope is 12/1 or just 12 so y = 12x + 9

Answer:

commutative property

Step-by-step explanation:

commutative property states that ab=ba.

Answer:

106.81

Step-by-step explanation:

c=2pi r    and radius is 1/2 of diameter

please rate my question and make it 5 stars ! thx! have a great day!

Answer:

Approximately 107 when rounded to the nearest whole number

see below for more accurate answer

Step-by-step explanation:

First, we pull out our formula.

C is circumference, D is diameter.

[tex]C=2\pi r\\D=2r\\C=\pi D[/tex]

We now insert 34 for D.

[tex]C=34\pi \\[/tex]

Pi is 3.141592653589..., so our answer is approximately 106.814150222. You can round this to your desire.

Answer:

768

Step-by-step explanation:

Answer:768

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: $96.15

Step-by-step explanation:

If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:

52*10 h = 520h hours.

Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.

Then how much is worth each one of these 520 hours?

Let's take divide the value of the scholarship evenly into the 520 hours:

$50,000/520h = $96.15.

This means that the hourly return is $96.15

Answer:

14.function because it goes through the origin

15.Nonlinear because if you graph it is not a straight line

16.Nonlinear because it is not a straight line

The probability that the card that you draw is a black 7 or a black 8 is 1/13

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

So, the probability that the card that you draw is a black 7 = 4/52

So, the probability that the card that you draw is a black 8 =  2/26

Therefore,

the probability that the card that you draw is a black 7 or a black 8 =  4/52 - 2/26 = 1/13

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9514 1404 393

Answer:

  2340 small boxes

Step-by-step explanation:

Each unit of measure used for the large box will contain 4 of the smaller boxes. So, in terms of small boxes, the dimensions of the larger box are ...

  (3 1/4)/(1/4) = (13/4)/(1/4) = 13 . . . length

  3/(1/4) = (12/4)/(1/4) = 12 . . . . . . . width

  (3 3/4)/(1/4) = (15/4)/(1/4) = 15 . . . height

Then the number of small boxes that would fit is ...

  length × width × height = 13×12×15 = 2340

2340 cubes of size 1/4 will fit into the larger box.

Answer:

A. 12+(-9)

Step-by-step explanation:

8 + (4 -9) = 3

12 + (-9) = 3

-12 + 9 = -3

-4 +(-9) = -13

4 + (-9) = -5

Answer:

They are all almost a dollar difference.

Step-by-step explanation:

Answer:

Tommy

Step-by-step explanation:

tommy=63%

mya=62%

hank=57%

Answer:

Tommy, 7/11 miles

Step-by-step explanation:

5/8 equals .625, 4/7 equals .571, 7/11 equals .636. Therefore, Mya ran the farthest

Answer:

Its A and C

Step-by-step explanation:

√73= 8.54

Its on the left side of 9 and on the right side of 7.

Answer:

y+14x=74

Step-by-step explanation:

By transforming the following equation of a line y − 4 = −14 (x − 5) to its general form, we obtain:

The given equation of line is :

y − 4 = −14 (x − 5)

Firstly we solve RHS of the equation.

y − 4 = -14x+70

Taking variable on LHS and constants on RHS.

y+14x=70+4

y+14x=74

Hence, the general equation is y+14x=74.

Answer:

For 100 draws, I would expect green or black to be drawn 35 times.

Step-by-step explanation:

5 + 6 + 3 + 4 + 2 = 20 marbles

I would expect green or black to be drawn 7/20 of the time.

addition process of removing the one marble and adding 100 to the amount of green and black marble

Answer:

A

Step-by-step explanation:

Y

Answer:

The right answer is :

2 (108) and 3 (72)

Step-by-step explanation:

i did the test

The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

An isosceles triangle is a triangle which is having two sides equal to each other.

Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.

So,

(4x+16)°+2(5x+7)°=180°

4x-16+10x+14=180

14x-2=180

14x=180+2

14x=182

x=182/14

x=13

Putting the value of x.

∠BCA=5x+7

=5*13+7

=65+7

=72

∠ABC=4x-16

=4*13-16

=52-16

=36

∠BAC=180-36-72

=180-108

=72

∠BCD=180-∠BCA

=180-72

=108°

Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

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Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320

Answer:

11118 people voted

Step-by-step explanation:

Given

[tex]Eligible\ Voters = 21800[/tex]

[tex]Registered\ Voters = 85\%[/tex]

[tex]Voted\ Voters = 60\%[/tex]

Required

Determine the number of voters

First, we need to determine the number of registered voters.

[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]

[tex]Number = 85\% * 21800[/tex]

[tex]Number = 18530[/tex]

Next, we determine the actual voters using

[tex]Voters = \%Voters * 18530[/tex]

[tex]Voters = 60\% * 18530[/tex]

[tex]Voters = 11118[/tex]

Hence, 11118 people voted