- Find the least number by which 1800 is divided so that the quotient will be a perfect square. Find the least number which is to be added to 9238 to make it a perfect. square.
Find the least number which is to be added to 11650 so that the sum will be a perfect square. ue's Mathematics - 7 Approved by Curriculum Development Centre 41​

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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tom= 25 + 3x

jim = 100 - 12 x

100 -12x = 25 + 3x

75 = 15x

x = 5

after 5 weeks they will have the same amount in their bank accounts

Answer:

1)The surface area is the sum of the lateral area and the base area.

3)The lateral area is the area of the curved surface of the cone.

4)The lateral area can be found using the equation LA = Pirl.

Step-by-step explanation:

i just did this on<:))

hope thisd helped, good luck <3

Answer: X=12

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Candace Parker is much taller at 76 inches with a Z-score of 4.55598.

⇒ The average for males aged 30 to 39 is 69.5 inches and the standard deviation is 2.7 inches for him.

⇒ For women ages 30-39, the average is 64.2 with a standard deviation of 3.2 inches.

⇒ Determination of z-scores for males and females-

1.) A man is 6 feet 9 = 81 inches tall.

The Z value for the male is z = (81-69.5) / 2.7 = 4.25925

2.) The female is 6 feet 4 = 76 inches tall.

The Z-score for women is z = (76-64.2) / 2.59 = 4.55598.

Candace has a Z-score of 4.55598, which is greater than her Z-score of 4.25925 for LeBron James.

∴ Compared to their respective populations, Candace Parker is 76 inches taller than LeBron James' 81 inches.

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Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

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Answer:

38 degrees

Step-by-step explanation:

If the line is tangent that means it forms a 90 degree angle. The angle measure of the inside of a triangle is equal to 180 degrees. If you add 52 and 90 you get 142. Subtract this amount from 180 and you will get the measure of m TMS

Answer:

The y-intercept of the given line is 7/9.

Step-by-step explanation:

The y-intercept of a line is the point where the line crosses the y-axis.

So, to find the point where the line crosses the y-axis we must do x=0.

By substituting x=0 in the following equation, we get

=> 9y + 4(0) = 7

=> 9y = 7

=> y = 7/9

Hence, y = 7/9 is the y-intercept of the given line.

Answer: C≈119.38

Step-by-step explanation:

C=2πr=2·π·19≈119.38052

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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Answer:

Area of Floor= (12*30)+ (20*10)

=360+ 200= 560

Ans C

Answer:

Karma worked for 7 1/2 hours. She spent 2/3 of the time on her computer. To find out how long she was on her computer, we can multiply the total time she worked by the fraction of time she spent on her computer.

Step-by-step explanation:

7 1/2 hours * 2/3 = (15/2) * (2/3) = 30/6 = 5 hours.

Therefore, Karma was on her computer for 5 hours.

Answer:

5

Step-by-step explanation:

We want to multiply a mixed number by a fraction.

7 1/2 * 2/3

Change the mixed number to an improper fraction.

(2 * 7 + 1)/2 = 15/2

15/2 * 2/3

Simplify.

15/3 * 2/2

5 * 1

5

Answer:

c

Step-by-step explanation:

The P-value for the hypothesis test H₀: p = 0.9 against H₁: p ≠ 0.9, at α = 0.056, is less than 0.056.

What is hypothesis test?

A hypothesis test is a statistical procedure used to make inferences or draw conclusions about a population based on sample data. It involves formulating two competing hypotheses, the null hypothesis (H₀)

In this hypothesis test, we are interested in determining if the proportion (p) of customers who are satisfied or very satisfied with a corporation's products and services is different from 0.9.

The null hypothesis (H₀) states that the proportion is equal to 0.9, while the alternative hypothesis (H₁) states that the proportion is not equal to 0.9.

To test these hypotheses, we use a binomial proportion test. From the given information, we have a sample of 1000 customers, and 850 of them are satisfied or very satisfied.

Using the sample proportion calculated as 850/1000 = 0.85, we can calculate the test statistic, which follows an approximately standard normal distribution under the null hypothesis.

Since the P-value is less than 0.056, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of satisfied or very satisfied customers is different from 0.9.

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Multiplication operation is the inverse of the one in the given equation which is 9 = p/8.

What is an inverse?

The opposite of another operation is referred to as the "inverse" in mathematics. The operations that cancel out or are the opposite of one another are referred to as inverse operations. The work of a pair is reversed by an inverse operation.

We are given an equation as 9 = p/8.

In this equation,  we can see that the operation used is division.

We know that inverse of division is multiplication.

Hence, multiplication operation is the inverse of the one in the given equation.

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The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.

The side of the square is 8.

The height of the prism is 11.

Volume = Area of square × height.

The volume of the original prism will be.

\(\rm V_1 = 8 * 8 * 11\\\\V_1 = 704\)

If she triples the side of the square.

Then dimensions will be

The side of the square is 24.

The height of the prism is 11.

The volume of the modified prism will be.

\(\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1\)

Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

y = 5

Step-by-step explanation:

The equation is:

y = 0*x + 5

y = 5

Note that this is a horizontal line ()slope of 0) and that y=5 for every value of x.

Answer:

so the anserw was dukiemane cuz u duike

Step-by-step explanation:

dukie

Answer:

Angles 1 and 2 are supplementary.

Step-by-step explanation:

<BAC is equal to <FGE, because BC and DE are parallel. So <DGF would be 180° minus angle 1. So, they are supplementary.

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The sample space has 27 elements.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is drawing one card from a well-shuffled deck of 27 cards.

To determine the number of elements in the sample space, we can count the total number of cards in the deck.

The number of red cards is 6, the number of green cards is 8, and the number of blue cards is 13. Therefore, the total number of cards in the deck is:

6 + 8 + 13 = 27

Hence, there are 27 possible outcomes when drawing one card from the deck. These outcomes consist of the 6 red cards, the 8 green cards, and the 13 blue cards in the deck.

So the sample space has 27 elements.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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The least common multiple(LCM) of 3, 8, and 12 is 24.

What is the least common multiple(LCM)?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

We have,

3, 8 and 12

and least common multiple of 3, 8, and 12?

LCM of 3, 8, and 12 is the smallest number among all common multiples of 3, 8, and 12.

The smallest number that can be divisible by 3, 8, and 12 exactly is the LCM.

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, ….

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, …..

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, …..

Hence, the least common multiple(LCM) of 3, 8, and 12 is 24.

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Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

\((2)^{3x}\) = \(2^{3x}\) and 8 = (2³ )² = \(2^{6}\) , so

\(2^{3x}\) = \(2^{6}\)

Since the bases on both sides are equal, both 2, equate the exponents

3x = 6 ( divide both sides by 3 )

x = 2

Answer:

The plant grows approximately 1.25 in. per day.

Step-by-step explanation:

Answer:

x = 1

y = 5

Step-by-step explanation:

5x - 2y = -5

5x + 6y = 35

=> 5x + 6y = 35

=> 5x - 5x + 6y = 35 - 5x

=> 6y = 35 - 5x

=> 6y/6 = 35/6 - 5/6x

=> y = 35/6 - 5/6x

=> 5x - 2 (35/6 - 5/6x) = -5

=> 5x - 35/3 + 5/3x = -5

=> 15/3x -35/3 + 5/3 = -15/3

=> 20/3x -35/3 = -15/3

=> 20/3x -35/3 + 35/3 = -15/3 + 35/3

=> 20/3x = 20/3

=> 20/3x * 3 = 20/3 * 3

=> 20x = 20

=> 20x/20 = 20/20

=> x = 1

=> 5x + 6y = 35

=> 5(1) + 6y = 35

=> 5 + 6y = 35

=> 5 -5 + 6y = 35 -5

=> 6y = 30

=> 6y/6 = 30/6

=> y = 5

So, x = 1

     y = 5

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

Per year 40 squirrels are added

Any of the many statistical methods used to determine the value of a population's attribute based on observations of a sample taken from the population is known as an estimate. For instance, a point estimate is the one figure that is most likely to convey the property's value.

Estimates are created by multiplying the unit cost of the relevant goods by the amounts derived from the dimensions of the designs for various things needed to execute the project. Estimates' objectives: should be aware of the financial requirements for finishing the suggested task.

According to the given question

The birth rate is 0.06 and the death rate is 0.02 per person per year. The number of deaths per year for a population of 1000 is equal to 1000*0.02, or 20. The annual birth rate is equal to 1000 * 0.06, or 60. As a result, the population of squirrels grows by a total of 40 individuals each year

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