9. Composite Problem: To make wheat flour the following were blended: 20,000 lb of 12% protein wheat, 22,000 lb of 14% protein wheat, 16,000 lb of 10% protein wheat. a. How many lb of protein are in the final product? b. What is the % protein in the final product?

Answer:

{ - 2, 10 }

Step-by-step explanation:

Given

x² - 8x = 20

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 20 + 16, that is

(x - 4)² = 36 ( take the square root of both sides )

x - 4 = ± \(\sqrt{36}\) = ± 6 ( add 4 to both sides )

x = 4 ± 6

Thus

x = 4 - 6 = - 2

x = 4 + 6 = 10

Answer:

d is it

Step-by-step explanation:

The length of the segment A'A is 18 units

The length of the segment B'B is 8 units

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

The similar triangle

Using the ratio of corresponding sides, we have

(AA' + 12)/20 = 12/8

So, we have

AA' + 12 = 20 * 12/8

AA' + 12 = 30

Evaluate

AA' = 18

Here, we have

(BB' + 6)/20 = 6/8

So, we have

BB' + 6 = 20 * 6/8

BB' + 6 = 15

Evaluate

BB' = 8

Hence, the length is 8 units

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Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

     x = 6 - 3

    x = 3

Answer:

3

Step-by-step explanation:

parallelogram - top side = bottom side (parallel sides)

; x + 3 = 6

; x = 6 - 3

; x = 3

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Two parallel lines have the same slopes thus ;

The line which we want should in form like this :

y = - 2 x + h

(( h )) can be any positive and any negative number.

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The given probability density function (pdf) is a valid pdf. The cumulative distribution function (cdf) can be calculated based on the pdf.

The probabilities of the random variable lying within specific intervals can be determined using the cdf. The value of the pdf at a specific point can also be calculated. Lastly, the 80th percentile of the distribution can be found using the cdf.

a. To show that the given function is a pdf, we need to ensure that it is non-negative over its domain and integrates to 1 over its entire range, which can be verified in this case.

b. The cdf, denoted as F(x), can be obtained by integrating the pdf from negative infinity up to x. In this case, since the pdf is constant between 1 and 6, the cdf will be a step function with a value of 0 up to x = 1, and a value of 0.2 from x = 1 to x = 6.

c. To find P(2 < X < 5), we calculate F(5) - F(2) using the cdf. Substituting the respective values, we get (0.2 * 5) - 0 = 1.

d. To find P(4 > X), we calculate 1 - F(4) using the cdf. Substituting the value, we get 1 - 0.2 = 0.8.

e. To find f(3), we simply substitute x = 3 into the given pdf, which gives a value of 0.2.

f. The 80th percentile corresponds to the value x for which F(x) = 0.8. From the cdf, we can see that F(x) = 0.2 for x ≤ 1, and F(x) = 0.2 for 1 < x ≤ 6. Therefore, the 80th percentile lies within the range 1 < x ≤ 6, specifically at x = 6.

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Answer:

x = 240

Step-by-step explanation:

Let the number be x

Condition:

\(\frac{1}{2} *\frac{1}{3} *\frac{1}{4} *\frac{1}{5} * x= 2\)

=> \(\frac{1*1*1*1}{2*3*4*5}x = 2\)

=> \(\frac{1}{120} x = 2\)

Multiplying both sides by 120

=> x = 2*120

=> x = 240

Answer:

7 grams of protein

Step-by-step explanation:

C = 9f + 4p + 4c

Plug the given information into the given formula

179 = 9(3) + 4p + 4(31)

Use PEMDAS

179 = 27 + 4p + 124

Combine like terms

179 = 151 + 4p

Subtract both sides by 151 to isolate variable p

179 - 151 = 4p

28 = 4p

Divide both sides by 4 to isolate variable p

28 ÷ 4 = p

7 = p

Answer:

The equation for the polynomial graphed in the given picture is:

f(x) = -0.5x³ + 4x² - 6x - 2.

Step-by-step explanation:

Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).

19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.

18 = 2b

b = 9

Hope this helps!! :)

Answer:

9

Step-by-step explanation:

They are asking what value of x can you input into 2x+1 so that the outpot is 19.

In other words, you need to solve 2x+1=19.

Subtracting 1 on both sides gives: 2x=18.

Dividing 2 on both sides gives: x=9.

So r(9)=19 since 2(9)+1 is 19.

The result of each trigonometric functions are:

a) sin X = 7√149 / 149

b) sin Z = 10√149 / 149

c) cos X = 10√149 / 149

d) cos Z = 7√149 / 149

In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse, and the cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse. Using this trigonometric functions, we can calculate sin X, sin Z, cos X, and cos Z as follows

sin X = YZ / XZ = 7 / √149

cos X = XY / XZ = 10 / √149

sin Z = XY / XZ = 10 / √149

cos Z = YZ / XZ = 7 / √149

To simplify these fractions, we can rationalize the denominator by multiplying the numerator and denominator by √149:

sin X = 7√149 / 149

cos X = 10√149 / 149

sin Z = 10√149 / 149

cos Z = 7√149 / 149

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The given question is incomplete, the complete question is:

Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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Answer:

12ft: 1sec

Step-by-step explanation:

180ft : 15sec

180÷15=12

15÷15=1

soooo it's

12ft : 1sec in the lowest term

The temperature decreases by about 1.7° for each 1-degree increase north in latitude.

Given

Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.

The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.

The first row is labeled latitude (degrees North) with entries 42, 45, 39, 35, 32, 41, 40, 33, 30.

The second row is labeled high temperature (degrees Fahrenheit) with entries 53, 51, 67, 63, 70, 58, 61, 67, 72.

The slope of a line in the two-dimensional Cartesian coordinate plane is usually represented by the letter m, and it is sometimes called the rate of change between two points.

Hence, the temperature decreases by about 1.7° for each 1-degree increase north in latitude.

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Answer:

b

Step-by-step explanation:

edge 2022

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 170 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(c(x) = 18x -10\)

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

y=mx+b

where m is the slope and b is the y-intercept

so

\(c(x) = 18x - 10\)

comparing with the slope-intercept form of the line equation

here:

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $170

In order to determine the value of x, set c(x) = 170

i.e.

170 = 18x -10

switch sides

18x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 170 + 10

18x = 180

Divide 18 to both sides

18x/18 = 180/18

x =  10

Therefore, if you can buy x = 10 tickets if you pay  170 dollars.

Martha's claim that the 25% of the learners are girls, is correct.

In this question,

There are 900 boys and 300 girls at Eqinisweni secondary school.

Martha claims that 25% of the learners are girls.

We need to verify her claim by means of calculations.

Based on the given conditions, we formulate:

300 / (900 + 300)

We simplify above expression.

= 300 / 1200

= 1/4               ..................(Cross out the common factor)

Now multiply a number 25 to both the numerator and the denominator:

= (1 × 25)/(4 × 25)

= 25/200

Now we rewrite a fraction with denominator equals 100 to a percentage: 25%

This means, Martha's claim that the 25% of the learners are girls, is correct.

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The statement an assumption underlying the t-distribution is that the population from which we are sampling comes from an exponential distribution is false.

The t-distribution assumes that the population from which we are sampling follows a normal distribution, not an exponential distribution.

The t-distribution is used when the population standard deviation is unknown and is estimated from the sample standard deviation, and when the sample size is small (typically less than 30).

When the test measure is expansive (regularly more noteworthy than 30), the t-distribution gets to be exceptionally comparative to the standard typical dispersion. 

therefore, an assumption underlying the t-distribution is that the population from which we are sampling comes from an exponential distribution is false.

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Answer:

The bi-weekly job!

Step-by-step explanation:

With a bi-weekly salary, your employer pays you every second week.

Since there are 52 weeks in a year: 52/2 = 26

This means you will get a total of 26 pay checks a year.

26 x 1200 = 31200

Therefore, you earn $31200 a year if you are paid bi weekly.

With a semi-monthly salary your employer pays you twice a month.

Since there are 12 months in a year: 12 x 2 = 24

This means you get a total of 24 pay checks a year.

24 x 1250 = 30000

Therefore, you earn $30000 a year if you are paid semi-monthly.

31200 > 30000

Therefore, you earn more on a bi-weekly salary.

Answer:

sum of interior is 540 and exerior is 360

Step-by-step explanation:

The sum of interior angles of a regular polygon = (n-2)180⁰

where n= number of sides of the Pentagon= 6

= (5-2)×180⁰ = 3 × 180 = 540⁰

sum of exterior angles= 360⁰

Answer:

180

Step-by-step explanation:

To solve use these two formulas:

The interior angle of the polygon formula: (n-2)180/n

The exterior angle of the polygon formula: 360/n

When n is the number of sides in the polygon.

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

To solve for the interior angles insert 5 for n and solve:

\(\frac{(n-2)180}{n} \\\\\frac{(5-2)180}{5} \\\\\frac{(3)180}{5} \\\\\frac{540}{5} \\\\108\)

To solve for the exterior angles insert 5 for n and solve:

\(\frac{360}{n}\\\\\frac{360}{5}\\\\72\)

Then add two products:

\(108+72=\\\\180\)

Answer:

b. 12

Step-by-step explanation:

Answer:

either a or d because they are both correct.

Step-by-step explanation:

The 87% confidence interval for the population proportion of drivers who claim to always buckle up is approximately 0.73 to 0.81.

To determine the Z-score for an 87% confidence level, we need to find the critical value associated with that confidence level. We can consult a Z-table or use a statistical calculator to find that the Z-score for an 87% confidence level is approximately 1.563.

Now, we can substitute the values into the formula to calculate the confidence interval:

CI = 0.768 ± 1.563 * √(0.768 * (1 - 0.768) / 382)

Calculating the expression inside the square root:

√(0.768 * (1 - 0.768) / 382) ≈ 0.024 (rounded to three decimal places)

Substituting the values:

CI = 0.768 ± 1.563 * 0.024

Calculating the multiplication:

1.563 * 0.024 ≈ 0.038 (rounded to three decimal places)

Substituting the result:

CI = 0.768 ± 0.038

Simplifying:

CI ≈ (0.73, 0.81)

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Answer: 5

Step-by-step explanation:

10 + 7h = 45

-10         -10

     7h = 35

divide by 7 to both sides

        h = 5

Answer:

hhhhhhh

Step-by-step explanation:jujujujjujjjju

There is a change of 1/2 for Adam to get strictly more heads than Ben.

The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)

If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.

Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.

Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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The table of values that represents a linear function is the table B since it can be written in the form Ax + By = C

For a table of values to be a linear form, the difference between the x and y values must be equal and must be able to be written in the form Ax + By = C

According to table B, we can use the following coordinate points from the table:

(-1, 4) and (2, 1)

Get the slope:

Slope m = (1-4)/2-(-2)

Slope m = -3/4

Get the y-intercept

Recall that y = mx + b

Using the coordinate (2, 1) and the slope m = -3/4

1 = -3/4(2) + b

1 = -3/2 + b

b = 1 + 3/2

b = 5/2

Get the required equation in the form y = mx + b

y = -3/2 x + 5/2

Multiply throgh by 2

2y = -3x + 5

2y + 3x = 5

3x + 2y = 5

Hence the table of values that represents a linear function is the table B since it can be written in the form Ax + By = C

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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