The amount of money earned varieties directly with the numbers of hours spent babysitting .If Kayla baby sits for 3 hours she will earn $27 how many hours will she earn if she babysits for 4 hours

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

The quadrilaterals are LMNP and LKJQ shown.

In quadrilaterals LMNP and LKJQ,

LK = LM = LQ = LP         (Given)

JK = JQ = NM = NP        (Given)

∠KJQ = ∠MNP          (Given)

∠KLQ = ∠MLP           (Given)

∠JKL = ∠NML            (Given)

∠JQL = ∠NPL            (Given)

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

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Answer:

Solving literal equations is often useful in real life situations, for example we can solve the formula for distance, d = rt, for r to produce an equation for rate. We will need all the methods from solving multi-step equations. Solving for one variable in a formula.

hope it will help u

Answer:

Solving literal equations is often useful in real life situations, for example we can solve the formula for distance, d = rt, for r to produce an equation for rate. We will need all the methods from solving multi-step equations. Solving for one variable in a formula.

Moreover, how can equations be used in real life?

Mathematical equations are also used in traffic control, aircraft, space program and medicine and so on. So we should always remember that any math equation result has the potential to change the world. That is the reason all mathematical equations are important in our life.

Beside above, what is a literal equation example? A literal equation is one that has several letters or variables. Examples include the area of a circle (left(A=pi {r}^{2} ight)) and the formula for speed (left(v=frac{D}{t} ight)). Solving literal equations is also known as changing the subject of the formula.

Then, what are some real life examples of linear functions?

Originally Answered: Could someone give me an example of a linear functions real life situation? Linear functions happen anytime you have a constant change rate.

Real life examples are:

Why are literal equations important?

Literal equations allow use to represent things like distance, time, interest, and slope as variables in an equation. Using variables instead of words is a real time-saver!

The correct plural form of "bacterium" is "bacteria." Therefore, sentence b. "The disease is caused by bacteria that grow on lettuce leaves" uses the correct plural form.

The word "bacterium" is a singular noun referring to a single bacterium. To indicate more than one bacterium, the plural form is "bacteria." In sentence b. "The disease is caused by bacteria that grow on lettuce leaves," the noun "bacteria" is correctly used to refer to multiple instances of bacterium. Sentence a. is incorrect because it uses "bacterium" in the singular form, while sentence c. is incorrect as it uses the non-existent plural form "bacterias." Sentence d. is also incorrect as it uses "bacterion," which is not a valid plural form of bacterium.

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Answer: 2 hours and 35 minutes. Aka 2:35

Step-by-step explanation: to find when it starts and ends, subtract 6:35pm by 9:10pm

So 9-6 is 3 and there is a problem when you do 10-35. 35 is bigger which means you have to take away an hour so the 3 becomes a 2 and then you add 60 onto the 10 even though the limit is 60 minutes because it equals an hour. So you now have 2 hours and 70 minutes - 35. Well that is 35 because 35+35 = 70 meaning the movie is 2 hours, 35minutes

Answer:

150 pages

Step-by-step explanation:

76%

Write as a decimal by dividing by 100

76% / 100 = 0.76x

0.76

Add a decimal (x)

0.76x

Set equal to 114 (the page Mary is at)

114 = 0.76x

Divide 0.76 by 114

x = 150

There are 150 pages in the book

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

150 pages. Mark me brainiiest.✌✌

Step-by-step explanation:

76%

Write as a decimal by dividing by 100

76% / 100 = 0.76x

0.76

Add a decimal (x)

0.76x

Set equal to 114 (the page Mary is at)

114 = 0.76.

Divide 0.76 by 114 x = 150.

There are 150 pages in the book.

Answer:

true

Step-by-step explanation:

i think

As given by the question

There are given that the statement

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours.

Now,

Suppose, the mechanic first-rate is x and the mechanic second rate is y

Then,

The first mechanic works are 20x and the second mechanic works are 5 y

According to question;

Together they charged $1650

So,

The amount of money that earned by both mechanics

Now,

The sum of the two rates was $165 per hour

Then,

That means,

Then,

Put the value of x into the above equation, 20x+5y=1650

So,

Now,

Put the value of y into the equation, x+y=165

So,

Hence, the mechanic first charged is $55 per hour and mechanic second is $110 per hour.

The metal that was used to construct the small rectangular pyramid-shaped metal object found in the archaeological dig is B. Lead of density \(11.34 grams/cm^{3}\)

Given :

The weight of the object is 612.4 grams.

The Height of the object = 9cm

The Breadth of the rectangular base = 3cm

The Length of the rectangular base = 6cm

Area of the rectangular base = Length*Breadth = 3*6 sq. cm = 18 sq. cm

Calculating the volume of the Object,

Volume = \(\frac{Length*Width*Height}{3}\)

Volume = \(\frac{6*3*9}{3} = 54 cm^{3}\)

Now, Calculating density,

\(Density = \frac{Mass}{Volume }\\\\\)

Putting the values of mass and volume, we have \(Density =\frac{612.4}{54} = 11.34 grams/cm^{3}\)

Hence, the density of the material is \(11.34 grams/cm^{3}\)

The density matches the density of LEAD.

Hence, the metal that was used to construct the small rectangular pyramid-shaped metal object found in the archaeological dig was B. Lead

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Answer:

Step-by-step explanation:

The power of 10 is the exponent of places we move the decimal point to get the first factor. For any number greater than 1, the power of 10 in scientific notation will be positive.

First Non-zero Power of 10

Example: Let’s look at the mass of Earth in kilograms.

What power? 9

Numbers can also be converted from scientific notation to standard notation.

Look at the number 6.51 × 108 . The power of 10 denotes the number of places the decimal point has to move. The power of 10 in this number is positive, so we move the decimal point to the right 8 places.

The number 6.51 × 108 written in standard notation is 651000000.

text mentions a scale model... wich we can't see here unless you post it

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

For the first line its distributive property
The 2nd is combining like terms

4th is simplifying it

Im not sure about the last one since its just the answer of the problem

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

15 - [7 + (-6)+ 1]^3

Using PEMDAS:

= 15 - [ 7-6+1]^3

Next work out what is in the parentheses:

= 15  - 2*3

Now the exponential:

= 15 - 8

= 7.

Step-by-step explanation:

Hi,

I hope you are searching this, right.

=15[7+(-6)+1]^3

=15[7-6+1]^3

=15[2]^3

=15-8

=7...is answer.

Hope it helps..

Answer:

Step-by-step explanation:

We can begin to solve this problem using mathematics. Let's name the total sales for the month "S".

We know that the salesman receives a 10% commission on sales over $300,000 and a 12% commission on sales above 500,000. As a result, we may construct the following equation:

Commission = 0.10 (S - 300,000) + 0.12 (S - 500,000) = 0.10 (S - 30,000) + 0.12 (S - 60,000) = 0.22 (S - 90,000).

We also know that the salesman receives a total commission of $13,900. So we can plug that number into the equation:

13,900 = 0.22S - 90,000

To obtain the value of S, multiply both sides of the equation by 90,000:

13,900 + 90,000 = 0.22S

103,900 = 0.22S

Finally, we can obtain the value of S by dividing both sides of the equation by 0.22: S = 472,273.63

As a result, the total sales for the month were Sh 472,273.63.

Answer:

hence , SP without vat is Rs 15000 , MP is Rs 20000 and discount amount is Rs.500

any problem then comment it .

hope this helped you,

if correct then mark brainliest.

The bar height for the price range of less than $5,000 will increase by 200.

In the given histogram, the x-axis represents the car prices ranging from $0 to $40,000, while the y-axis represents the number of cars sold over 10 years, ranging from 0 to 700.

Based on the provided information, we can observe that between the price ranges of $20,000 and $30,000, the bar height exceeds the maximum y-axis value of 700. Similarly, between the price ranges of $5,000 and $10,000, and $40,000 and $45,000, the bar height is indicated as 200.

If the car salesman decides to include cars with prices less than $5,000 and projects selling 200 of them over the next 10 years, the distribution will be affected as follows:

The bar representing the price range of less than $5,000 will increase in height by 200, indicating the projected sale of those additional cars. This means that the histogram will show a higher number of cars sold in the lower price range, reflecting the demand from students and the inclusion of more affordable cars in the sales strategy. This modification will result in a redistribution of the bars, with an additional bar added to represent the projected sales of cars below $5,000.

Overall, the distribution in the histogram will be affected by an increase in the bar height for the price range of less than $5,000 by 200 units, indicating the projected sale of those additional affordable cars over the next 10 years.

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Noah is right because 75% of $10 would be 7.5 and 25% of $30 is 7.5. This would mean that they both have equal amounts of money

The total number of boxes required to cover the kitchen floor is 14.

The dimensions of the kitchen floor are 14' × 24'

⇒Length of the kitchen floor = 14 feet

⇒Width of the kitchen floor= 24 feet

The area of the kitchen floor= Length × Width

⇒ Area = 14 × 24

⇒ Area = 336 sq. ft.

Since, 4 boxes of flooring cover 100 sq. ft.

∴1 box will cover = 100/4 sq. ft.

⇒25 sq. ft.

Now, Number of boxes required to cover the floor of the kitchen will be,

⇒ Area of the floor / Area covered by 1 box of flooring

⇒336/25

⇒ 13.44

∴ The total number of boxes required to cover the kitchen floor is 14 (rounded up from 13.44).

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Answer:

\(m=-5\)

Step-by-step explanation:

\(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}=\left(\frac{3}{5}\right)^{3m+1}\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\)

\(\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\mathrm{Solve\:}\:\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right):\quad m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}\)

\(m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}\\\mathrm{Decimal}:\quad m=-5\)

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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Answer:

f x−y+2z=0x−2y+3z=−1 divide x−y+2z=0x−2y+3z=−1 by 2

.

x−y+z=0x−y+3z=−1

Step-by-step explanation:

Hope this helps you :)

Answer:

Point form

(4/3, 2/3, −1/3)

Equation Form:

x= 4/3, y= 2/3, z= −1/3

Step-by-step explanation:

Answer:

I did the best I could graphing it but it's weird. It's all I got. So here you go. I hope it helps! have a nice day!

Step-by-step explanation:

As we know that,

\(\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\ \)

Substituting values, we get :

\( \longmapsto \) Area = \(\sf \dfrac{1}{2} \) × ( 60 + 40 ) × 30 ft\( \sf ^2 \)

\( \longmapsto \) Area = \(\sf \dfrac{1}{2} \) × 100 × 30 ft\( \sf ^2 \)

\( \longmapsto \) Area = 1 × 100 × 15 ft\( \sf ^2 \)

\( \longmapsto \) Area = 100 × 15 ft\( \sf ^2 \)

\( \longmapsto \) Area = 1500 ft\( \sf ^2 \)

Therefore,

Midpoint formula:

(X1+x2)/2, (y1+y2)/2

Midpoint: (-12+7)/2 , (5+9)/2

=( -5/2,7)

The answer is a.

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

(a) 11.51 percent of tommy's times between pitches are longer than 39 seconds.

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell-shaped curve represents the probability.  

How to use z-table?

Step 1: In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.9 1.4, 2.2, 0.5, etc.)

Step 2:Then look up at the top of the z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.95 then go for the 0.05 column)

Step 3:Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2. We want to find out the probability that what percentage of his times between pitches are longer than 31 seconds.

Here, In the given question: we have,

Mean=36 seconds

Standard deviation = 2.5 seconds

So,

For x>39

We want to find out the probability that what percentage of his times between pitches are longer than 39 seconds.

\(\begin{aligned}&P(X > 39)=1-P(X < 39) \\&P(X > 39)=1-P\left(Z < \frac{x-\mu}{F}\right) \\&P(X > 39)=1-P\left(Z < \frac{39-36}{2.5}\right) \\&P(X > 31)=1-P\left(Z < \frac{3}{2.5}\right) \\&P(X > 39)=1-P(Z < 1.2)\end{aligned}\)

The z-score corresponding to 1.2 is 0.8849

\(\begin{aligned}&P(X > 39)=1-0.8849 \\&P(X > 39)=0.1151 \\&P(X > 39)=11.51 \%\end{aligned}\)

Therefore, 11.51% of his times between pitches are longer than 39 seconds.

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