While visiting an orchard, the Williams family picked 98 apples, 49 oranges, 52 lemons, and 103 limes.
Approximately how much fruit did the family pick in total that day?

Answer:

32%

Step-by-step explanation:

50% of the first solution is HCL, so it has

80 ml x 50% = 80 ml x 0.5 = 40 ml of HCL

Similarly the second solution has 20% of HCL, so

120 ml x 20% = 120 ml x 0.2 = 24 ml of HCL

The combined solution will have 40 ml + 24 ml = 64 ml of HCL.

The total volume of the 2 solutions is 80 ml + 120 ml = 200 ml.

We can now calculate the concentration of HCL in the mixed solution, by dividing the volume of HCL by the total volume of the solution,

64 ml / 200 ml = 0.32 = 32%

Answer:

(a)  Graph 1 and Graph 3

(b)  Graph 1, Graph 2 and Graph 3

(c)  Graph 2 and Graph 4

Step-by-step explanation:

----------------------------------------------------------------------------------------------

\(y=\dfrac{x^3+x}{x^2-3}\)

Vertical asymptotes:

\(\implies x^2-3=0\)

\(\implies x^2=3\)

\(\implies x=\pm \sqrt{3}\)

No horizontal asymptote as the degree of the numerator is greater than the degree of the denominator.

The function has a slant asymptote as the degree of the numerator polynomial is exactly one greater than the degree of the denominator polynomial.

\(y=\dfrac{4x}{x^2+1}\)

No vertical asymptote as the denominator can never equal zero.

Horizontal asymptote at y = 0 as the degree of the numerator is less than the degree of the denominator.

No slant asymptote as the degree of the numerator polynomial is not exactly one greater than the degree of the denominator polynomial.

\(y=\dfrac{x^2}{x^2-9}\)

Vertical asymptotes:

\(\implies x^2-9=0\)

\(\implies x^2=9\)

\(\implies x=\pm 3\)

As the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = 1

No slant asymptote as the degree of the numerator polynomial is not exactly one greater than the degree of the denominator polynomial.

\(y=\dfrac{x^4}{x^2+4}\)

No vertical asymptote as the denominator can never equal zero.

No horizontal asymptote as the degree of the numerator is greater than the degree of the denominator.

No slant asymptote as the degree of the numerator polynomial is not exactly one greater than the degree of the denominator polynomial.

----------------------------------------------------------------------------------------------

The graphs of every rational function has a vertical asymptote.

The graph of every rational function has at least one vertical, horizontal, or slant asymptote.

The graph of a rational function can have at most one vertical asymptote.

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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From the data we conclude that; (c) The sampling minimum appears to be biased estimator since it consistently over estimated the population minimum.

The sampling distribution of the sample minimum is given as 51 points

The number of tests in the sample = 6 tests

The results of the tests are summarized in the dot plot

In order to be an unbiased estimator the sampling distribution for the statistic has to be evenly distributed about the true parameter for the population .

and In this question , the true parameter for the population is that the sample minimum of the population is 99 points .

So , From sampling distribution of sample Minimum it is clear that distribution of sample maximum is unevenly distributed.

Hence , it is not an unbiased estimator that means it is an biased estimator which is overestimating the population minimum .

Therefore , the correct option is (c) .

-- The given question is incomplete , the complete question is

"Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large normally distributed population of test scores whose minimum was 51 points. He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests and repeated this process for a total of 40 trials. His results are summarized in the dot plot , where each dot represents the minimum score from a sample of 6 tests.

50 , 70 , 75 , 55 , 60 , 65

(a) Sample minimum appears to be an unbiased estimator for the population minimum.

(b) Sample minimum appears to be an biased estimator since it consistently under estimates the population minimum.

(c) Sample minimum appears to be an biased estimator since it consistently over estimates the population minimum." --

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Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles

The distance = bicycle 6 miles

number of hours =3/5 of an hour

then the rate = 6/ (3/5)

Then we can calculate the number of miles with the 6milesi n 3/5 hours  as;

= (6 * 5/3 )

=30/3

=10

Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs

=10 * 3 hours

= 30 miles

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Answer:

D

Step-by-step explanation:

\(m\angle EBD=33^{\circ} \implies m\angle EBC=33^{\circ} \\ \\ \therefore m\angle DBC=m\angle EBD+m\angle EBC=66^{\circ} \\ \\ m\angle DBC=66^{\circ} \implies m\angle ABD=66^{\circ} \\ \\ \therefore m\angle ABC=m\angle ABD+m\angle DBC=132^{\circ}\)

Answer:

13

Step-by-step explanation

its what online said...

Answer:

yes, no , yes, no in order

Step-by-step explanation:

Answer:

NPV= $9,923.56

Step-by-step explanation:

Giving the following information:

Initial cost= -$55,000

Cash flows= $10,000

Cost of capital= 11%

To calculate the net present value, we need to use the following formula:

NPV= -Io + ∑[Cf/(1+i)^n]

First, we need to discount the cash flows:

PV= Cfn / (1+i)^n

Cf1= 10,000/1.11= 9,009.01

Cf2= 10,000/1.11^2= 8,116.22

Cf3= 10,000/1.11^3= 7,311.91

......

Cf12= 10,000/1.11^12= 2,858.41

Total PV= $64,923.56

Now, the NPV:

NPV= -55,000 + 64,923.56

NPV= $9,923.56

Answer:9

Step-by-step explanation:

Answer: 390,000,000

Step-by-step explanation: ^

Answer:

a

 \(\frac{\alpha }{2} = 2.5 \%\)

b

  \(N = 25\)

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      \(\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%\)

=>    \(\frac{\alpha }{2} = 2.5 \%\)

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      \(N = 1000 * \frac{\alpha }{2}\)

=>   \(N = 1000 * 0.025\)

=>   \(N = 25\)

Answer:

Step-by-step explanation:

Hey

Step-by-step explanation:

Given,

a=6

b=3

c=5

Now,

a+b+c

=6+3+5

=14

Answer:

Irving earned about $363.00 during the week.

Step-by-step explanation:

Irving’s time-and-a-half pay rate an hour =$485.54

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Payment for one hour =  $8.95

So, paid for 40 hours

=40*$8.95

= $358.00

Now for -a-half overtime

=$8.95*1.5

= $13.425

Now, for extra 9.5 hours

=$13.425*9.5

=$127.5375

Hence,  Irving’s time-and-a-half pay rate an hour

=127.5375+358.00

=$485.54

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Answer:

No.

Yes.

Yes.

No.

Yes...

The quotient when \(3x^{3} -15x-13\) is divided by (x+2) using the synthetic division is (\(3x^{2} -6x-3\)) and remainder is -7.

According to the question,

We have the following expressions:

\(3x^{3} -15x-13\) is divided by (x+2)

First, we  will look at some of the rules of the synthetic division:

We have to make the quotient in such a way that it is same as the term with the highest power in the dividend.

We change signs after solving using one complete term of the quotient.

We have to solve this using the synthetic division method:

x+2 )\(3x^{3} -15x-13\)( \(3x^{2} -6x-3\)

       \(3x^{3} +6x^{2}\)

      _-___-_____

              \(-6x^{2} -15x-13\)

              \(-6x^{2} -12x\)

             +         +

                _________

                          -3x-13

                          -3x-6

                          +   +

                        _______

                              -7

Hence, the quotient when \(3x^{3} -15x-13\) is divided by (x+2) using the synthetic division is (\(3x^{2} -6x-3\)) and remainder is -7.

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This data collection may be characterized as numerical and univariate.

A numerical univariate data is discrete if the totality of all possible values is finite or countably infinite. Usually, counting is done using discrete univariate data (such as the number of books read by a person). A numerical univariate data is continuous if the range of all possible values is a set of integers.

Different categories of data that can be categorized are represented by categorical variables. Examples of categorical variables are race, sex, age group, and educational attainment.

Categorical data are data kinds that can be stored and identified depending on the names or labels given to them.

Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data. As it validates data before classification, it is also known as qualitative data.

Over here we have the data for the average time spent reading per day for students in an 8th grade class.

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The Question attached here is Complete. The Complete Question is

The chart shows the average time spent reading per day for students in an 8th grade class.

The line plot is titled minutes of reading per day, and the horizontal axis is labeled minutes of reading per day. There are 5 dots at 30, 1 dot at 33, 5 dots at 35, 1 dot at 36, 1 dot at 37, 3 dots at 40, 1 dot at 44, one dot at 46, 1 dot at 47, and 1 dot at 50.

Which of the following describes this data set?

Categorical and bivariate

Categorical and univariate

Numerical and bivariate

Numerical and univariate

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

Answer:

To graph rational functions:

\(\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3\)

\((x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0\)

\(\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)\)

\(\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)\)

\(\textsf{Asymptote} \implies x-1=0 \implies x=1\)

\(\textsf{Asymptote} \implies x+3=0 \implies x=-3\)

\(\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)\)

\(\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)\)

\(\textsf{Asymptote} \implies x-2=0 \implies x=2\)

\(\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)\)

\(\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)\)

The term, \(\frac{1}{49}\) is simplified form of the expression \(7^{-\frac{5}{6}} \ \cdot\ 7^{-\frac{7}{6}}\).

The top and bottom of a fraction are said to be in its simplest form if they only share the number one. For the top & bottom to remain whole numbers, you cannot divide them further.

Additionally, lowest terms, or simple form, may be used.

The simplest form of a fraction, for instance, is 4/5. Apart from 1, there isn't a number that divides both 4 and 5. Not in its simplest form is the fraction 3/6. Numerator & denominator can both be divided by 3.

Given to simplify the expression

\(7^{-\dfrac{5}{6}} \ \cdot\ 7^{-\dfrac{7}{6}}\)

\(7^{(-\dfrac{5}{6}-\dfrac{7}{6})}\)

\(7^{(\dfrac{-5-7}{6})}\)

\(7^{(\dfrac{-12}{6})}\)

\(7^{(-2)}\)

\(\dfrac{1}{7} \times \dfrac{1}{7}\)

\(\dfrac{1}{49}\)

Thus, \(\frac{1}{49}\) is simplified form of the expression \(7^{-\frac{5}{6}} \ \cdot\ 7^{-\frac{7}{6}}\).

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

6

Step-by-step explanation:

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Answer:

I don't know this answer.

do u have instagaram???

Answer:

(B)  24

Step-by-step explanation:

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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The no. of ounce of  spearmint tea is = 60.50 ounce

the no. of ounce of  peppermint tea is =  32.49 ounce

We have been given that -

Cost of  spearmint tea = $3.15

Cost of  peppermint tea = $5.01

Cost of the mixture =  $3.80

solution-

Let the quantity of spearmint tea =  x ounce

and the quantity of peppermint tea =  y ounce

1 ounce quantity contains  spearmint tea and peppermint tea =

(x+y=1) ......eq (1)

the cost

($3.15)x +($5.01)y =  $3.80

3.15x + 5.01y = 3.80......... eq(2)

multiply equation (1) with 3.15.

∴ 3.15x +3.15y =3.15

using alligation..

Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.

substract equation (1) and equation (2)

(3.15x + 5.01y = 3.80) -(3.15x +3.15y =3.15)

After solve the equations we get

1.86y = o.65

   y = 0.65/1.86

  y = 0.349462... per ounce

put the value of y in equation (1)

x +y= 1

x = 1-y

x = 1-0.349462

x = 0.650538 per ounce

So the quantity of spearmint tea =  93 ×x per ounce

                                                    93 ×0.650538

                                                     60.50 ounce

and the quantity of peppermint tea = 93×y per ounce

                                                             93× 0.349462

                                                             32.49 ounce

hence, the no. of ounce of  spearmint tea is = 60.50 ounce

           the no. of ounce of  peppermint tea is =  32.49 ounce

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From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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The unit rate for points per game is determined by dividing the total points scored by the number of games played. In this case, 62 points  3 games = 20.67 points per game (rounded to two decimal places).

To determine the unit rate for points per game, we need to divide the total number of points scored by the number of games played. In this case, Pedro scored 62 points over the last 3 basketball games.

The unit rate for points per game is found by dividing the total points scored by the number of games played. In this case, Pedro scored 62 points over 3 basketball games, so the unit rate for points per game is:

62 points ÷ 3 games = 20.67 points per game (rounded to two decimal places)

So, none of the given options is correct. The correct answer is 62 over 3 points per game, which is equivalent to 20.67 points per game when rounded to two decimal places.

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Answer:

62.01 i took the test

Step-by-step explanation:

Answer:

f(6)=-42

f(0)=0

f(-1)=7

Step-by-step explanation:

since f(x) =-7x

it implies that f(6),f(0) and f(-1) are all equal to f(x)

which is equal to -7x .

so wherever you find x you out it in the

function