A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relations.

Answer:

Step-by-step explanation:

Solution: The general equation of a line is y = mx+b. Here, m = -4, x = -5 and y = 6.

Thus, we have 6 = -4*-5+c, or c = -14.

So, the equation of the line is y = -4x-14. Answer.

Answer:

\(3x^{4}\)

Step-by-step explanation:

I suggest looking lessons on it online if you don't understand... It's hard to do your work especially if you don't understand it. Or if your online, go to past lessons or something.

Answer:

The answer is 3x^4

Step-by-step explanation:

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Answer:

117 yards is the approximate distance

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

\(-4.46(j + 19)= -8.92\)

Distribute:

\((-4.46)(j)+(-4.46)(19)=-8.92\)

\(-4.46j-84.74=-8.92\)

Add 84.74 to both sides:

\(-4.46j-84.74+84.74=-8.92+84.74\)

\(-4.46j=75.82\)

Divide both sides by -4.46:

\(\dfrac{-4.46j}{-4.46} =\dfrac{75.82}{-4.46}\)

\(=\fbox{j = -17}\)

Answer:

-3 is the slope

2 is the y intercept

Step-by-step explanation:

always

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The number of possible paint jobs that can be done on the 4 cars can be determined by permutation (15,4). That is option B.

Permutation is defined as the various number of ways a data set can be arranged to arrive at a definite value.

the number of colours offered by the paint shop = 15

The number of cars the need a new paint job = 4

To find the possible number of colour that can be used permutation (15,4) is carried out.

That is,

= 15!/(15-4)!

= 15!/11!

= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1/11×10×9×8×7×6×5×4×3×2×1

or 15×14×13×12×11!/11!

= 15×14×13×12

= 32,760

Therefore, there would be 32,760 possible paint jobs that can be carried out on the 4 cars.

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a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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Answer:

A. \(\frac{24}{25}\)

To have a perfect square trinomial, the missing number must be 28, so we will get:

(x - 5)² = 0

We know that we can complete the expression by completing squares.

x² - 10x +  = 3

Remember that a perfect square trinomial is:

(a + b)² = a² + 2ab + b²

Now lets rewrite our expression:

x² - 10x +  = 3

x² - 10x +  - 3 = 0

We can rewrite this as:

x² - 2*5*x +  - 3 = 0

Then we need to add 5^2  = 25 to have a perfect square trinomial, and because there is a subtraction of 3, we will add 28

So we get:

x² - 2*5*x + 28 - 3 = 0

x² - 2*5*x + 25= 0

x² - 2*5*x + (-5(^2 = 0

(x - 5)² = 0

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Answer:

(a) The probability you pass the exam is 0.0000501.

(b) The expected number of correct guesses is 7.5.

(c) The standard deviation is 2.372.

Step-by-step explanation:

We are given that you take a 30-question, multiple-choice test, in which each question contains 4 choices: A, B, C, and D. And you randomly guess on all 30 questions.

Since there is an assumption of only 1 correct choice out of 4 which means the above situation can be represented through binomial distribution;

\(P(X =x) = \binom{n}{r}\times p^{r}\times (1-p)^{n-r} ; x = 0,1,2,3,......\)

where, n = number of trials (samples) taken = 30

           r = number of success = at least 60%

           p = probbaility of success which in our question is the probability

                 of a correct answer, i.e; p = \(\frac{1}{4}\) = 0.25

Let X = Number of questions that are correct

So, X ~ Binom(n = 30 , p = 0.25)

(a) The probability you pass the exam is given by = P(X \(\geq\) 18)

Because 60% of 30 = 18

P(X \(\geq\) 18) = P(X = 18) + P(X = 19) +...........+ P(X = 29) + P(X = 30)

= \(\binom{30}{18}\times 0.25^{18}\times (1-0.25)^{30-18} + \binom{30}{19}\times 0.25^{19}\times (1-0.25)^{30-19} +.......+ \binom{30}{29}\times 0.25^{29}\times (1-0.25)^{30-29} + \binom{30}{30}\times 0.25^{30}\times (1-0.25)^{30-30}\)

= 0.0000501

(b) The expected number of correct guesses is given by;

  Mean of the binomial distribution, E(X) =  \(n \times p\)

                                                                =  \(30 \times 0.25\) = 7.5

(c) The standard deviation of the binomial distribution is given by;

      S.D.(X)  =  \(\sqrt{n \times p \times (1-p)}\)

                    =  \(\sqrt{30 \times 0.25 \times (1-0.25)}\)

                    =  \(\sqrt{5.625}\)  =  2.372                

The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.

Answer:

Yes, you can.

5 x (7 x 10) = (5 x 7) x (5 x 10)

Step-by-step explanation:

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

We have,

The actual dimensions of the island are 3 1/2 feet by 1 3/4 feet.

We need to find the dimensions of the island on the blueprint, given that the scale of the blueprint is 1 inch = 2 feet.

To convert the actual dimensions to the dimensions on the blueprint, we need to use the scale factor of 1 inch = 2 feet.

We can set up a proportion to relate the actual dimensions to the dimensions on the blueprint:

Actual dimension/blueprint dimension = scale factor

Let x be the length of the island on the blueprint.

Then we can set up the following proportion:

3.5 feet / (1.75 feet)

= x inches / 7 inches

Simplifying,

2 = x / 7

Multiplying both sides by 7, we get:

x = 14 inches

The length of the island on the blueprint is 14 inches.

Similarly, we can find the width of the island on the blueprint:

1.75 feet / 3.5 feet

= y inches / 7 inches

Simplifying, we have:

0.5 = y / 7

Multiplying both sides by 7, we get:

y = 3.5 inches

The width of the island on the blueprint is 3.5 inches.

Thus,

The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

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To solve the first part we replace the value of years in the formula in this case 40

And for the second part, we replace P = 126.8

Reorganizing

And we factorize

We get two answers 44 and -44 but the age can not be negative so the answer is 44

Answer:

29

Step-by-step explanation:

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

y=200(0.5)2t  this functiοn represents decay, y=12(2.5)t6 this functiοn represents grοwth and y=(0.65)t4 this functiοn represents decay.

In mathematics, a functiοn is a relatiοnship between twο sets οf elements, called the dοmain and the range, such that each element in the dοmain is assοciated with a unique element in the range.

In general, we can determine whether a functiοn represents grοwth οr decay by examining the base οf the expοnential term.

If the base is greater than 1, the functiοn represents grοwth.

If the base is between 0 and 1, the functiοn represents decay.

Here are the classificatiοns fοr each οf the given functiοns:

y=200(0.5)2t

The base οf the expοnential term is 0.5, which is between 0 and 1. Therefοre, this functiοn represents decay.

y=12(2.5)t6

The base οf the expοnential term is 2.5, which is greater than 1. Therefοre, this functiοn represents grοwth.

y=(0.65)t4

The base οf the expοnential term is 0.65, which is between 0 and 1. Therefοre, this functiοn represents decay.

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Complete Question:

Select "Growth" or "Decay" to classify each function.

Function Which ones are growth or decay

f(x)=(1.05)t4

y=100(0.4)t

f(x)=14(10)t12

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

\(S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6\)