3. What is the proper ordering
(from greatest to least) of the
following numbers?
I.58/67
II. 0.58%
III. 58%
IV. 5.8%
O I, III, II, IV
III, IV, II, I
I, III, IV, II
IV. I. III. II

Given are the number of pens and + in students bag.

We can see from the dataset graph that -

Therefore -

To solve more questions on mean, median and mode, visit the link below-

https://brainly.com/question/17160638

#SPJ1

The continuous rate of growth is 50 %,the initial population is 940 and at time t = 5 11451 bacteria will be there.

a)

A exponential function is represented as:

n(t) = n(0) e^kt

where k is the continuous rate of growth.

Given problem:

The number of bacteria in a culture is given by:

n(t) = 940 e^0.5t

on comparing k = 0.5

= 0.5*100%

= 50 %

b)

On comparing with exponential function with given function.

n(0) = 940

which is the initial population.

c)

At t = 5

n(5) = 940*e^0.5*5

= 940*e^2.5

= 940*12.1824

≈ 11451

Learn more about the number here:

https://brainly.com/question/17429689

#SPJ1

Answer:

.225 kg

Step-by-step explanation:

[tex]\frac{225 grams}{1}[/tex] x [tex]\frac{1kg}{1000grams}[/tex] = .225 kg

Answer:

bottle of water: $1.60

gallon of milk: $3.80

bag of chips: $0.80

Step-by-step explanation:

First, the amount of groceries bought can be represented as:

[tex]3m + 4w + 7c = \$ 23.40[/tex]

where [tex]m[/tex] represents the cost of one gallon of milk, [tex]w[/tex] represents the cost of a bottle of water, [tex]c[/tex] represents the cost of one bag of chips.

We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.

"a bottle of water costs twice as much as a bag of chips"

[tex]w = 2c[/tex]  →  [tex]c = \dfrac{w}{2}[/tex]

"milk costs $2.20 more than a bottle of water"

[tex]m = w + \$ 2.20[/tex]

Now, substitute these into the first equation and solve for w in terms of c.

[tex]3(w + 2.20) + 4w + 7\cdot \dfrac{w}{2} = 23.40[/tex]

[tex]3w + 6.60 + 4w + \dfrac{7}{2} \, w = 23.40[/tex]

[tex]\dfrac{21}{2} \, w = 16.80[/tex]

[tex]21w = 33.60[/tex]

[tex]w = 1.60[/tex]

So, one bottle of water costs $1.60.

To solve for the other items, plug the solved value into the 2-variable equations.

[tex]m = 1.60 + 2.20[/tex]

[tex]m = 3.80[/tex]

So, one gallon of milk costs $3.80.

[tex]c = \dfrac{1.60}{2}[/tex]

[tex]c = 0.80[/tex]

So, one bag of chips costs $0.80.

Given equation to us is , [tex]3x^2+7x-(m+1)=0[/tex] .

The given equation is a quadratic equation and it has two real solutions if it's discriminant is greater than or equal to 0 .

For a quadratic equation in standard form of [tex]ax ^{2} + bx + c = 0[/tex]

the discriminant is given by b² - 4ac .

On comparing wrt to Standard form, we have ;

Hence we have,

[tex]\longrightarrow b^2-4ac \geq 0\\ [/tex]

[tex]\longrightarrow 7^2-4(3)-(m+1)\geq 0\\[/tex]

[tex]\longrightarrow 49 +12(m+1)\geq 0\\ [/tex]

[tex]\longrightarrow 49 +12m+12\geq 0 \\ [/tex]

[tex]\longrightarrow 12m \geq -61\\[/tex]

[tex]\longrightarrow \underline{\underline{m \geq \dfrac{-61}{12}}} [/tex]

Therefore the given quadratic equation will have real solutions for values of m greater than or equal to -61/12 .

And we are done!

Answer:

Step-by-step explanation:

the pattern is x+1+1-3 so

1+(1)=2

2+(1)=3

3-(3)=0

Alright now the next numbers (assuming the next 3 numbers?)

-2,-3,-4

I’m so sorry if I’m incorrect but I hope this helps

Answer:

[tex]\frac{71}{40}[/tex]

or

71/40

Explanation:

[tex]\frac{3}{5} + \frac{7}{8} + \frac{3}{10}[/tex]

LCM (Least Common Multiple) of 5, 8, and 10 = 40

5 × 8 = 40

8 × 5 = 40

10 × 4 = 40

(8 × [tex](\frac{3}{5} )[/tex] ) + (5 × [tex](\frac{7}{8} )[/tex] ) + (4 × [tex](\frac{3}{10} )[/tex] )

[tex]\frac{24}{40} + \frac{35}{40} + \frac{12}{40}[/tex]

[tex]\frac{71}{40}[/tex]

Answer:

Step-by-step explanation:

The standard normal distribution is a normal distribution of standardized values called z-scores. A z-score is measured in units of the standard deviation. For example, if the mean of a normal distribution is five and the standard deviation is two, the value 11 is three standard deviations above (or to the right of) the mean. The calculation is as follows:

x = μ + (z)(σ) = 5 + (3)(2) = 11

The z-score is three.

The mean for the standard normal distribution is zero, and the standard deviation is one. The transformation

z=x-u/o produces the distribution Z ~ N(0, 1). The value x comes from a normal distribution with mean μ and standard deviation σ.

Answer: You got roasted sir. Leave it alone.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps! :) Hope you have. a great day

The degree of the quadratic equation, ax² +bx+c = 0 will be 2.

Any equation of the form  ax² +bx+c = 0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation. Any function of the form of the given form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that the equation is,

ax² +bx+c = 0

The highest power of the quadratic equation is the degree to that quadratic equation. The highest power of the given quadratic equation is 2.

Thus, the degree of the quadratic equation, ax² +bx+c = 0 will be 2.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ1

Answer:

2091

Step-by-step explanation:

[tex]1+3.5+6+\cdots+101 \\ \\ n=\frac{101-1}{2.5}+1=41 \\ \\ a=1 \\ \\ d=2.5 \\ \\ S=\frac{41}{2}[2(1)+(41-1)(2.5)] \\ \\ =2091[/tex]

The principal that was deposited is  $3326.45 .

The principal has to do with the amount that has been deposited in the bank and after a while we would have the amount which is the summation of the principal and the interest that accrues.

Given that;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = number of times compounded

t = time

Then;

6,000 = P(1 + 0.035/2)^2 * 17

P = 6000/(1 + 0.035/2)^2 * 17

P = $3326.45

At the beginning the money that was deposited is  $3326.45 .

Learn more about the principal:https://brainly.com/question/18958915

#SPJ1

Answer:

histogram

Step-by-step explanation:

The graph of linear inequality y > 3/4x - 2 is attached below and it's properties are the graph passes through the x - axis at 2.67, the graph passes through the y - axis at -2  and the graph has a straight broken line to denote the ">" inequality sign.

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. There are several ways to represent various kinds of linear inequalities.

In the inequality given, we can represent this on a graph and discuss it's properties.

The graph of y > 3/4x - 2 shows these properties

Kindly find the attached graph below

Learn more on graph of linear inequality here;

https://brainly.com/question/25839052

#SPJ1

Complete Question:

Which of the statement are true about the linear inequality y > 3/4x - 2

I. The graph has a broken line

II. The graph has an unbroken line

III. The graph passes through y - axis at -2

IV. The graph passes through the x - axis at 2.67

Answer:

y=-2

Step-by-step explanation:

[tex]y^2+4y+4=0\\y^2+2y+2y+4=0\\(y^2+2y)+(2y+4)=0\\y(y+2)+2(y+2)=0\\(y+2)=0\\and \\(y+2)=0\\y=-2[/tex]

[tex]Proof:\\(-2)^2+4(-2)+4=0\\4+(-8)+4=0\\8-8=0\\0=0[/tex]

The value of z = 1.15

The value of the p value is 0.124. vWe would fail to reject the null hypothesis

We have to find the sample proportion

This is given as x / n

where

x = 620

n = 1200

620 / 1200

= 0.516667

The null hypothesis that is to be tested is H0:p=.50

The alternative hypothesis that is to be tested as well is H1:p>.50

We are to test for the value of Z as well as P value through the use minitab software and make conclusions with the results.

In the result, the

1. The value of z is solved to be 1.15

2. The P value is 0.124. The value of the P value is very high, the decision would be for us to fail to reject the null hypothesis.

Read more on p value here; https://brainly.com/question/4621112

#SPJ1

Complete question

A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1200 registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.

We test

H0:p=.50

Ha:p>.50

(a) What is the z-statistic for this test?____.

(b) What is the P-value of the test?_____.

Answer:

620÷2=310 50% is half of 620

Step-by-step explanation:

Answer:

[tex]62[/tex]

Step-by-step explanation:

based on the given:

(Note: of ⟹ multiplication, percentage ⟹ ÷100, the number of marks he got in math more than English ⟹ the value he got in math minus the value he got in English)

Moving on, for math test:

80 × 92.5/100 = 74

For English test:

64 × 18.75/100 = 12

Now, the number of marks he got in math more than English ⟹ 74 - 12 = 62

Therefore, final answer is 62

Answer:

telephone calls = 2 hours ;  attending meeting = 6 hours ; writing email= 2.5 hours

Step-by-step explanation:

t + e + m = 10.5

3t = m

e = 0.5 + t

t + 0.5 + t + 3t = 10.5

5t = 10.5 - 0.5

5t = 10

5/5 t = 10/5

t = 2

e = 0.5 + 2

e = 2.5

m = 3 (2)

m = 6

The expression x - 35 represents the discounted price before tax. The expression 0.12x represent the amount of sales tax.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression given which models the final price of a scooter with an instant rebate in a state that charges sales tax is:

⇒ 0.12x + (x - 35)

As per the given expression,

The discounted price before tax = x - 35

The amount of sales tax = 0.12x

Thus, the expression x - 35 represents the discounted price before tax and the expression 0.12x represent the amount of sales tax.

Learn more about Expressions here:

brainly.com/question/13947055

#SPJ1

a) The value of b if the total number of students is 55 is; b = 8

b)i) Probability that the student passed both french and german is 19/55

ii) Probability that the student passed exactly one of the two subjects is; 36/55

A venn diagram is used to compare and contrast two different ideas.

We are given that;

Number of students that passed French only = 17

Number of students that passed German only = 11

Number of students that passed both French and German = 19

Number of students that did not pass any of the 2 subjects = b

Total number of students = 55

Thus;

a) To get the value of b that will represent the number of students who didn't pass any of the 2 subjects will be calculated as;

b = 55 - (17 + 11 + 19)

b = 8

b)i) To get the probability that the student passed both french and german is given by the formula;

P(Paased french and german) = Number that passed french and german/Total number of students = 19/55

ii) To get the Probability that tells us the student passed exactly one of the two subjects is;

(17/55) + (19/55) = 36/55

Read more about Venn Diagrams at; https://brainly.com/question/24713052

#SPJ1

Option B. The rule of sampling distribution that is listed here that can be said to be false is  Sampling distributions get wider (I.e. have greater variability) with increasing sample size.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.

It could be regarded as the statistical distribution for all feasible samples drawn from the same population with a particular sample size. The population's underlying distribution, the statistic under consideration, the sampling technique utilized, and the sample size used all have an impact on the sampling distribution.

Read more on sampling distribution here:https://brainly.com/question/12892403

#SPJ1

Answer:

winning a raffle ticket is more like to occur because there is much more chance (24tickets) to win

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A would be 1/4 because there are 2 multiples of 4 so it would be 2/8 which would simplify to 1/4

B would be 3/5 since it’s 3/5 possibilities

C would be 12/50 because it would simplify from 24/100 to that

D would be 19/20 because there are 38 strawberry chews and + 2 cherry chews = 40 so 38/40 or 19/20

Don’t forget to give brainliest :)

The option that can be used to verify the trigonometric identity, [tex]tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)[/tex] is option C;

C. [tex]tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)[/tex]

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

[tex]tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)[/tex]

The half angle formula for tangent indicates that we get;

[tex]tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}[/tex]

[tex]\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}[/tex]

When η = 0, we get;

[tex]-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}[/tex]

Therefore;

[tex]tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}[/tex]

[tex]cot\left(x \right) = \dfrac{cos(x)}{sin(x)}[/tex]

[tex]tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}[/tex]

[tex]\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}[/tex]

[tex]\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)[/tex]

Therefore;

[tex]tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)[/tex]

The correct option that can be used to verify the identity is option C

Learn more about trigonometric identities in mathematics here:

https://brainly.com/question/14421002

#SPJ1

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The possible fraction n is n = 5/8

From the question, we have the following statement that can be used in our computation:

The fraction is between 1/2 and 3/4.

This fraction is represented by n

So, we have

n is between 1/2 and 3/4.

The fractions 1/2 and 3/4 can be rewritten as

1/2 = 4/8

3/4 = 6/8

This means that

n is between 4/8 and 6/8

The number 5 is between 4 and 6

So, we have

5/8 is between 4/8 and 6/8

This means that

n = 5/8

Read more about fractions at

https://brainly.com/question/1622425

#SPJ1

Answer:

31 yards

Step-by-step explanation:

Since there are 3ft in 1 yard,

93 ft / 3 ft = 31 yards

Answer:

31 yards

Step-by-step explanation:

1 ft is 1/3 yard

So 93 ft = 93/3

= 31 yards

OR

1 ft is 0.333 yard

93 × 0.333 = 31 yard.

Answer:

5 and two ninths

Step-by-step explanation:

Answer:

4/3=4*3+3*3=12/9+7/9=19/9

Step-by-step explanation:

En fait il faut le mettre au même dénonminateur puis additionner les numérateur.