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Annette [7]
2 years ago
13

To have a party at Sky Zone, it cost $125 to rent the room and $5.25 a person for pizza and drinks. The following equation repre

sents the total amount to have a party: T=125 + 5.25p. If Trisha has $250 to spend on her party, how many people can she invite?
Mathematics
1 answer:
mario62 [17]2 years ago
7 0

Answer:

23 people.

Step-by-step explanation:

T=125 + 5.25p

p=23

She'd spend a total of 245.75.

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The probability that a person in the United States has type B​+ blood is 12​%. Three unrelated people in the United States are s
V125BC [204]

Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that p = 0.12

Three unrelated people in the United States are selected at random.

This means that n = 3

Find the probability that all three have type B​+ blood.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728

The probability that all three have type B​+ blood is 0.001728

4 0
2 years ago
A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the
Vadim26 [7]

Answer:

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

Step-by-step explanation:

The explanation of given question is described below:

Here, the test of hypothesis states that

H_o : Mean = 28.6

H_a : Mean\ which\ is\ not\ equals\ 28.6

The test statistic is

Z = \frac{(\bar X - Mean)}{\frac{Population\ standard\ deviation}{vn} }

Z = \frac{(30.06 - 28.6)}{\frac{4.18}{6} }

= 2.1

According to the given data α = 0.05,

So, the major value is

IZ(0.025)I = 1.96

(refer to the standard normal table) .

Finally

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

3 0
2 years ago
The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millim
rjkz [21]

Answer:

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

x y xy x^2 y^2

     

62 36 2232 3844 1296

76 39 2964 5776 1521

50 50 2500 2500 2500

51 13 663 2601 169

71 33 2343 5041 1089

46 33 1518 2116 1089

51 17 867 2601 289

44 6 264 1936 36

79 16 1264 6241 256

     

Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

cov 33.88888889    

std dev x 13.43916333 14.50861813    

sx *sy      

r 0.195529176    

Hence we find that correlation coefficient 0.1955.

7 0
2 years ago
Luz drives at an average speed of 45 miles per hour. She has driven for 3 hours and has travelled a distance of 135 miles. This
julia-pushkina [17]

Answer:

(y-135)=45(x-3)  

Step-by-step explanation:  

Let x represents the number of hours and y represents the number of miles.

We are told that Luz drives at an average speed of 45 miles per hour. She has driven for 3 hours and has traveled a distance of 135 miles.  

We can see from our given information that slope of line is 45 as with each increase in number of hours (x), change in distance (y) is 45.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{135-0}{3-0}

m=\frac{135}{3}

m=45

Since the equation of line in point-slope form is : (y-y_1)=m(x-x_1), where m represents slope of line and (y_1,x_1) represents a point the line passes through.

Upon substituting our given values in point-slope form of equation we will get,

(y-135)=45(x-3)  

Therefore, the equation represented in point-slope form will be: (y-135)=45(x-3).

4 0
2 years ago
Read 2 more answers
Can please solve this? x⁴+2x³-13x²+24=0​
Soloha48 [4]

Answer:

1. x = 4

2. x = 2

3. x = -1

4. x = -3

Step-by-step explanation:

1. (x4)-(2•(x3)))-13x2)+14x)+24  = 0

2. ((x4) -  2x3) -  13x2) +  14x) +  24  = 0

3.  Find roots (zeroes) of :       F(x) = x4-2x3-13x2+14x+24

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  24.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,8 ,12 ,24

7 0
2 years ago
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