Write a word problem for 2[L] +3[4L]=990.50

The linear equation in terms of the units {x} produced per hour as → y = 4.5 + 0.75x.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that an entrepreneur passes to his workers 4.50 dollars per hour plus an additional amount of 0.75 dollars per unit produced.

We can write a linear equation in terms of the units {x} produced per hour as -

y = 4.5 + 0.75x

Therefore, the linear equation in terms of the units {x} produced per hour as → y = 4.5 + 0.75x.

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{Question in english -

An entrepreneur passes to his workers 4.50 dollars per hour plus an additional amount of 0.75 dollars per unit produced. Write a linear equation / for the saland per hour u in terms of the units x produced per hour.}

Answer:

It will take 15 days for the same crew to clear the entire plot of 2 1/2 acres.

Step-by-step explanation:

Given that a crew clears brush from 1/3 acre of land in 2 days, to determine how long will it take the same crew to clear the entire plot of 2 1/2 acres, the following calculation must be performed:

1/3 = 0.333

1/2 = 0.5

0.333 = 2

2.5 = X

2.5 x 2 / 0.333 = X

15 = X

Therefore, it will take 15 days for the same crew to clear the entire plot of 2 1/2 acres.

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

there isn't a math question

Step-by-step explanation:

Answer:

21.888

Step-by-step explanation:

32*1.2*1.9*0.3= 21.888

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

check the attachment given belοw tο understand.

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Answer:

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 24  

    Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 24  

(b) The​ P-value is 0.004.

(c) Reject Upper H 0 because the​ P-value is less than the alpha = 0.01 level of significance.

(d) There is sufficient evidence at the alpha equals 0.01 level of significance to conclude that the population mean is different from 24.

Step-by-step explanation:

We are given that a simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x overbar = 18.3 and the sample standard deviation is found to be s = 6.3.

Let \(\mu\) = population mean

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 24      {means that the population mean is 24}

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 24     {means that the population mean is different from 24}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                               T.S.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean = 18.3

            s = sample standard deviation = 6.3

            n = sample size = 15

So, the test statistics =  \(\frac{18.3-24}{\frac{6.3}{\sqrt{15} } }\)  ~ \(t_1_4\)

                                    =  -3.504

The value of t-test statistics is -3.504.

(b) Now, the P-value of the test statistics is given by;

               P-value = P( \(t_1_4\) < -3.504) = 0.002 or 0.2%

For the two-tailed test, the P-value is calculated as = \(2 \times 0.002\) = 0.004 or 0.4%.

(c) Since the p-value of the test statistics is less than the level of significance as 0.002 < 0.01, so we will reject our null hypothesis.

(d) This means that we have sufficient evidence at the alpha equals 0.01 level of significance to conclude that the population mean is different from 24.

Amon the following situation 2 cases follow the general rule for basis of inherited property

Given , Statements of inheritance.

1. Louis died on August 12. 2019 leaving his house to his sister, Etty.

2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.

3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.

This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.

4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.

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The mixed numbers are subtracted to get 6 4/5

To subtract mixed numbers  we follow the following steps

convert the mixed numbers to improper fractions.

9 3/5 = (9 × 5 + 3) /5 = 48/5

2 4/5 = (2 × 5 + 4 )/5 = 14/5

Subtract the fractions.

= 48/5 - 14/5

= (48 - 14)/5

= 34/5

convert the improper fraction back to a mixed number

34/5 = 6 4/5

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Answer:

14.

Step-by-step explanation:

7x2=14

9x2=18

20 is a solution to the equation by using the replacement set.

Given the following data:

a. To represent the statement as an algebraic equation:

In this exercise, you're required to write a mathematical expression (algebraic equation) that represents the word sentence given.

Translating the word sentence into an algebraic expression, we have;

The product of 0.4 and a number is 8:

\(0.4n = 8\)

b. To determine the solution set using the replacement set:

When n = 0:

\(0.4(0)=8\\\\0\neq 8\)

When n = 1:

\(0.4(1)=8\\\\0.4\neq 8\)

When n = 10:

\(0.4(10)=8\\\\4\neq 8\)

When n = 20:

\(0.4(20)=8\\\\8= 8\)

Therefore, 20 is a solution to the equation by using the replacement set.

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Answer:

20 is the answer.

Step-by-step explanation:

Since the events are independent, we have the following property:

That is, the probability of A is the same as the probability of A given B (since the events are independent, event B does not affect event A).

So, if P(A) = 0.3, therefore P(A|B) is also equal to 0.3.

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

6(10+5)

Step-by-step explanation:

60+30=90

Now

\(\\ \rm\Rrightarrow 6(10+5)\)

\(\\ \rm\Rrightarrow 60+30\)

\(\\ \rm\Rrightarrow 90\)

Hence verified

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

Answer:

B.

Step-by-step explanation:

The graphed line has a slope of 3 which is higher than the functions slope of 2. It also has a y-intercept of 4 while the functions y-intercept is -5, therefore it is higher.

Answer:

There you go cupcake!

Answer:

0.8 seconds sorry if im wrong

Step-by-step explanation:

The required value of the F in the matrix is given as -8. Option B is correct.

Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14

Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8

Thus, the required value of the F in the matrix is given as -8. Option B is correct.

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9514 1404 393

Answer:

  a.  24 = 8·3

  b.  336 = 8·x

Step-by-step explanation:

A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).

  a/b = c   ⇔   a = bc

__

a.  24/3 = 8   ⇒   24 = 3·8

b.  336/8 = x   ⇒   336 = 8x

Answer:

12

Step-by-step explanation:

Let x = number of hours at the shelter

"The number of hours she works at a coffee stand is 5 less than 2 times the number of hours she works at the animal shelter."

The number of hours at the coffee stand is

2x - 5

The total number of hours is 31, so x added to 2x - 5 must equal 31.

2x - 5 + x = 31

3x - 5 = 31

3x = 36

x = 12

She works 12 hours at the shelter.

Answer:

The slope of a position vs. time graph has a physical significance as it represents the velocity of an object. If the graph is a straight line, then the velocity is constant. If the graph is curved, then the velocity is changing, which means the object is either accelerating or decelerating. The direction of the slope (positive or negative) indicates the direction of the velocity.

For the given table:

We will find the necessary score on the final exam for a student to earn an A (90%) in the class.

so,

The equation will be:

now, solve the equation to find x:

So, the answer will be:

The student needs a score of 85% on the final exam to earn a 90%

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

Answer:

1.52%

Step-by-step explanation:

Answer:

$3.90

Step-by-step explanation:

136.44/35= (rounded tot the nearest hundredth) $3.90

Answer:

136.44÷36 =3.79

3.79×36=136.44

Step-by-step explanation:

So one ball cost 3. 79

Answer:

its proportionality

Step-by-step explanation: