[tex]3x^{2} +10x-8=0\\[/tex]

The probability that both residences have at least 3 people living in

residence is 0,75. Answer: C

The probability that a residence selected from City A has at least 3 people living in it is 35%, and the probability that a residence selected from City B has at least 3 people living in it is 40%. To find the probability that both events occur (i.e., that both residences have at least 3 people living in them), you would multiply the individual probabilities:

0.35 * 0.40 = 0.75.

Answer: C

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12121211.ooooooooooo

Answer: The correct answer is D-3 m/s.

Step-by-step explanation:  To find the velocity of the second ball, we need to use the principle of conservation of kinetic energy.

The total kinetic energy before the collision is equal to the total kinetic energy after the collision.

Initial kinetic energy = $\frac{1}{2} * 6 * v^2$

Final kinetic energy = $\frac{1}{2} * 6 * 6 + \frac{1}{2} * 6 * v^2 = 75$

Solving for v, we get v = 3 m/s.

You need to consume 20.8 hotdogs in 1 minute in order to beat the winner. Hotdogs consumed in 2 minutes = 2(20.8) = 41.6. Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.

To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.

Given that:

208 hotdogs = 10 minutes.

x = 1 minute

Using the cross multiplication we have:

x = 208 / 10

x = 20.8 hotdogs.

Hence, you need to consume 20.8 hotdogs in 1 minute in order to bea the winner.

Hotdogs consumed in 2 minutes = 2(20.8) = 41.6.

Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.

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The probability that her total wait time over the course of 60 das is less than 5.5 hour is a. 0.426.

Problems of normal distributions can be solved using the z-score formula.

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = (X - μ)/  σ

The mean μ= 6

The standard deviation  σ = √12

For n instances of a normal variable, 60 days, for each day, mean 6, variance of 12.

So,

z = 330 - 360/720

z = 1.12

P(Z <-1.12) = 0.426

Thus, the correct answer is given by option A 0.426.

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If R(x, y) is a point that needs to be rotated about the origin, then coordinates of this point after the 90° rotation will be R'= (y, -x)

When rotated through 90° about the origin in the clockwise direction, the new position of point P (2, 3) will become P' (3, -2)  

So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.

Thus, if R(x, y) is a point, then the coordinates of this point after the 90° rotation will be R'= (y, -x).

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Step-by-step explanation:

a . median (Q2) =

[tex] \frac{1(n + 1)}{2} [/tex]

[tex] \frac{1(31 + 1)}{2} [/tex]

[tex] \frac{32}{2} = 6[/tex]

therefore the position of the media is the 6th term

6th term =3,11

b. first quartile(Q1)=

[tex] \frac{1(n + 1)}{4} [/tex]

[tex] \frac{1(31+ 1)}{4} [/tex]

[tex] \frac{32}{4} = 8[/tex]

8th term= 2,56

C. third quartile(Q3)=

[tex] \frac{3(n + 1)}{4} [/tex]

[tex] \frac{3(31+ 1)}{4} [/tex]

[tex] \frac{96}{4} = 24[/tex]

24th term = 3,85

D. IQR = Q3 - Q1

= 3,85 - 2,56

= 1,29

e.

[tex]fi = 2.56 - 1.5 \times 1.29 [/tex]

[tex]fi = 0.625[/tex]

[tex]fu = 3.85 + 1.5 \times 1.29[/tex]

[tex]fu = 5.785[/tex]

The domain of the function f(x) = 900(0.85)^x is the set of real numbers, since the value of x (the number of years after purchase) can be any real number.

The range of the function is non-negative real numbers and less than 900, since the value of the function (the estimated value of the cell phone in dollars) will always be non-negative and less than the original price of 900 dollars, since it is losing value every year.

Step-by-step explanation:

The number of data points above the median is 12, number of data points below the 1st quartile is 6 and the number of data points between 1st and 3rd quartile is 12.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

There are 24 data points in a data set.

Let x₁, x₂, .........., x₂₄ be the data points arranged in an increasing order.

Since the number of elements are even, median is the average of middle two elements.

Median = (x₁₂ + x₁₃) / 2, which will be in the middle of x₁₂ and x₁₃.

Number of elements above median = number of elements from x₁₃ to x₂₄ = 12

First quartile range is the average of the first part of elements which has been divided by the median.

Average of x₁, x₂, ......., x₁₂

1st quartile, Q₁ = (x₆ + x₇) / 2, which is located in the middle of x₆ and x₇.

Number of data points below 1st quartile = 6

Third quartile  is the average of the second part of elements which has been divided by the median.

Average of x₁₃, x₁₄, ......., x₂₄

3rd quartile = (x₁₈ + x₁₉) / 2, which is located in the middle of x₁₈ and x₁₉.

Number of elements between 1st and 3rd quartile = 12

Hence the number of elements in each of the range is found.

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Answer: 830 Miles

Step-by-step explanation:

Distance = Speed x Time

60 x 3 = 180 Mi

3 hours = 180

Total Distance from their destination

= Distance traveled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Edit: 180 Miles*

The final values of $t0, $t1, $t2, and $t3 in the MIPS assembly code are 1, 2, 3, and 4, respectively.

This is because each of the 'addi' instructions adds a constant value to the specified register. The 'addi' instruction in MIPS stands for "add immediate", where the constant value is immediately added to the source register. In this case, each of the 'addi' instructions adds 1, 2, 3, or 4 to the corresponding register.

[tex]$t0 = 0 + 1 = 1$$t1 = 0 + 2 = 2$$t2 = 0 + 3 = 3$$t3 = 0 + 4 = 4$[/tex][tex]$[/tex]

Assuming that the initial values of the registers are 0, the final values of $t0, $t1, $t2, and $t3 would be the sum of the constant value and the initial value of the corresponding register. Thus, the final values of $t0, $t1, $t2, and $t3 would be 1, 2, 3, and 4, respectively.

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The complete question is-

What are the final values of $t0, $t1, $t2, and $t3 in the following MIPS assembly code after its execution is completed, assuming that the initial values of the registers are 0?

In order to find the answer to this problem, we want to do the following:

First, we need to find the sales tax value:

$34.78 + 6% sales tax

$34.78 * 1.06

$36.87 (rounded to the nearest hundredth)

The total bill is equal to $36.87

Now to find which bills to give to the server:

$20 + $10 + $5 + $1 = $36

Then, you can give the server 87 pennies.

Answer:

Step-by-step explanation:

34.78 + 34.78(0.06) = 36.87 Total bill

Pay 37.07 and you get 15 cents back (1 dime, 1 nickel)

Pay with:

1-$20

1-$10

1-$5

2-$1

2-pennies

Total:  20+10+5+2+0.02 = $37.02

$37.02 - $36.87 = $0.15 (this is your change, no pennies)

For the given  system t is not application. There is no solution for the system.

In mathematics, the phrase "solution" refers to a particular value or set of values that satisfies a given equation or set of equations. Finding a solution to the problem is a necessary step in solving a system of equations.

A value for the unsolved variable that makes the equation true is referred to as the solution.

The solutions are all the values of x in the domain such that f(x) = g if we have two functions f and g that both map to the same co-domain (x).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.

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Answer:

B

Step-by-step explanation:

every factor you want to bring inside a square root has to be squared first.

so,

g²h×sqrt(5g) = sqrt((g²)²×h²×5g) = sqrt(g⁴×h²×5g) =

= sqrt(5g⁵h²)

Answer:

103 minutes or, equivalently,  1 hour 43 minutes

Step-by-step explanation:

These types of -problems are referred to as work rate problems or sometimes work rate time problems

To solve these types of problems find the rate of work of each individual and add up the rates to find the combined rate for all individuals

Let's use x for Mr Cole and y for Mrs. Cole

The important piece of info here is that all the bedrooms are the same size so the work rate for any bedroom is the same for x and the same for y

y can paint a bedroom in 4 hours.
So rate of work for y = 1/4 bedroom per hour

x can paint the bedroom in 3 hours
So rate of work for x = 1/4 bedroom per hour

Let t be the time in hours taken for both of them to paint a bedroom
Each of them will work t hours irrespective of their rate of work

For x the work done is [tex]\dfrac{1}{3}t = \dfrac{t}{3}[/tex] of the bedroom

For y the work done is [tex]\dfrac{1}{4}t = \dfrac{t}{4}[/tex] of the bedroom

Together in t hours they finish 100% of the bedroom; ie 1

So
[tex]\dfrac{t}{3} + \dfrac{t}{4} =1\\\\\dfrac{4t + 3t}{12} = 1\\\\\dfrac{7t}{12} = 1\\\\t = \dfrac{12}{7} \;hours\\\\\text{In minutes this would be:\\}\\\\\dfrac{12}{7} \cdot 60 = 102.85 \;\rm{minutes}}[/tex]

Rounded to the nearest minute that would be 103 minutes or
[tex]\dfrac{103}{60} \;\rm{ hours}[/tex]

The quotient is 1 and the remainder is 43 when you divide 103 by 60

That means it takes 1 hour and 43 minutes for both of them working together to paint the third bedroom

Answer:

See below

Step-by-step explanation:

The U.S has more people under 18 than China does: correct

There are more people under 18 than age 45-60 in the US: correct

The population of China is more than four times of the US: You can't tell given the graph

There are more people age 19-44 than any other age group in the US: correct

Answer

3 kids wanted to go surfing.

The inequality equation is x ≤ 7 and represented as ←. with number 7 included

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x - 1 ≤ 6   be equation (1)

On simplifying the equation , we get

Adding 1 on both sides of the equation , we get

x ≤ 7

Therefore , the value of x is less than or equal to 7

Hence , the inequality is x ≤ 7

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The country has approximately 3 cellular phones per person.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Given that a country has approximately 2,900 cellular phones per 1,000 people.

Number of cell phones for 1000 people = 2900

Number of cell phones for 1 person = 2900 / 1000 = 2.9 ≈ 3

Hence there are approximately 3 cellular phones per person.

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Correct, in a hypothesis test using an F-test, the significance level refers to the probability of rejecting the null hypothesis when it is actually true.

The F-test is a statistical test used to determine if there is a significant linear relationship between two variables.

In the F-test, the null hypothesis is that there is no linear relationship between the variables, while the alternative hypothesis is that there is a linear relationship. When the significance level (usually denoted by alpha) is set to a small value, such as 0.05, we can use the F-test to determine if the observed relationship between the variables is likely due to chance or if it is a real, significant relationship.

If the calculated F-value is greater than the critical value for the given significance level, we reject the null hypothesis and conclude that there is a significant linear relationship between the variables.

On the other hand, if the calculated F-value is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant linear relationship between the variables.

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The Variable "Colors of cars in a mall parking lot" is (a) categorical variable and not a numerical variable.

A Categorical Variable is defined as a type of variable which  takes on one of a limited, and usually fixed, number of possible values.

In this case, the possible values are different colors of cars such as red, blue, green, etc. Categorical variables are also known as nominal variables because they do not have an inherent order or mathematical meaning.

a Categorical variables are different from Numerical Variables, which are variables that have a numerical value that can be used to perform mathematical operations.

The given question is incomplete , the complete question is

Which variables is categorical and which are numerical ? If the variable is numerical, then specify whether the variable is discrete or continuous.

Colors of cars in a mall parking lot. -

(a) Categorical

(b) Numerical - Continuous

(b) Numerical - Discrete

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10 and 35 are the numbers that divides 78 with remainder 8.

A division is a process of splitting a specific amount into equal parts.

Dividend is the number that is to be divided by the divisor.

Divisor is the number by which the dividend is to be divided is called the divisor.

Quotient is the resultant of the division is called the quotient.

Remainder is the number that is left after division is called the remainder

78/10

70/10+8

and 78/35 which gives 70/35+8

Hence, 10 and 35 are the numbers that divides 78 with remainder 8.

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Answer:

The given equation 1 - x - 2y = -6 is in standard form, and can be converted to slope-intercept form (y = mx + b) by solving for y.

To do this, we first add x and 2y to both sides of the equation to get:

1 + x + 2y = -6

Next, we divide both sides of the equation by 2 to get:

(1/2) + (1/2)x + y = -3

Finally, we rearrange the equation to get:

y = -(1/2)x - 3

Therefore, the equation in slope-intercept form is y = -(1/2)x - 3.

The required Missing Frequency is 3.

Frequency is a measure of the number of occurrences of a given event within a specified period of time. It can refer to the number of times a particular event happens in a unit of time.

Such as the number of times a wave or vibration occurs in a second, or the number of times an action occurs in a given period. In physics, frequency is measured in hertz (Hz); in electrical engineering, it is measured in cycles per second (cps). Frequency is also used in mathematics, music, and sound engineering.

Value  Frequency

1             2

2            4

3            9

4            ?

5            6

6            8

7             2

8             4

Total      40

We have to find the Missing frequency:

Computation:

Missing frequency = Total frequency - Counted

Missing frequency = 40 - 37

Missing frequency = 3

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The scale factor is discussed below.

Given is the scale factor.

Scale factor is a dimensionless quantity that tells by how much time a specific dimension of a figure is enlarged or reduced. Mathematically, it is the ratio of two similar quantities. In case of length scaling, we can write -

K = L{final}/L{initial}

Therefore, the scale factor is discussed above.

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Answer:

three and three ninths plus seven and six-elevenths equals ten and eighty-seven ninety ninths

Step-by-step explanation:

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