suppose that the mean daily viewing time of television is 8.35 hours. use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household (a) what is the probability that a household views television between 4 and 12 hours a day? (round your answer to four decimal places.)

A circle and a triangle can intersect in a point.

This refers to the fact that two lines are able to meet at a given point. The point where they meet is the point of intersection.

A circle is known to be able to intersect with a triangle in three different ways and at one point.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

8.83176

Step-by-step explanation:

The square root of 78 is 8.83176, or 8.832 (rounded to the nearest thousandth).

Answer:

8.83176

Step-by-step explanation:

Sampling error occurs when a sample of data selected from a population is used to make inferences about the population.

There are several ways to decrease the opportunity for sampling error, including the use of educated samples, larger sample sizes, and random sampling methods. It is important to note that the size of the sample also plays a crucial role in reducing the opportunity for sampling error, which is one of the main reasons why larger sample sizes are recommended.

The larger the sample size, the less likely it is that the sample will be unrepresentative of the population. Educated samples refer to the selection of participants based on certain criteria, such as their educational level or occupation. This can help to ensure that the sample is representative of the population in terms of specific characteristics. Affluent samples may also be used, but this approach may introduce bias into the sample selection process. Overall, smaller sample sizes are generally not recommended for reducing the opportunity for sampling error.

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Weare given the expression:

"The product of five and the square of a number"

So we can write this in math form as:

5 times unknwon number squared

5 * x^2

where we represented the unknown number via the letter "x"

Notice that this letter (called variable in math terms) is squared.

Algebraic expressions that contain a variable to a power different from one, are NOT LINEAR.

This expression in particular that contains the letter (variable) x to the power "2" is referred as a quadratic expression.

Pure mathematical expression is:

We are also asked to represent the following in math terms:

"Multiply five and the reciprocal of the quotient of a number and nine"

in math terms we have a product (given by the order: "multiply"):

5 times the "reciprocal of the quotient of "x" and 9"

We first need to express the quotient they ask for: "a number and 9", representing the "number" with "x" as we did before:

quotient of number and 9 is: x / 9 (x divided by nine)

The "reciprocal" of this is the fraction "flipped-over": 9 / x (nine over x)

Then finally when we complete the expression we get:

5 times (9 / x) = 45/x

In pure math terms:

As we see, in this case , the variable "x" appears in the "denominator" at the very end. Since the variable is in the denominator, the expression is NOT LINEAR. the variable doesn't appear in the numerator with exponent (power) "1" (one) . Having the variable in the denominator involves a "negative exponent" for the variable "x" then this expression is NOT LINEAR.

The sum to infinity of the series 1 + 2x + 3x² + 4x³ + ... is 1/[(1-x)²] when |x| < 1.

The formula for the sum of an infinite geometric series when |x| < 1 is given as:

S = a/(1-r)

We have a = 1 and r = x/1.

S = 1/(1-x) + 2x/(1-x)² + 3x²/(1-x)³ + 4x³/(1-x)⁴ + ...

we multiply both sides of this equation by (1-x)²,

S(1-x)² = (1-x) + 2x + 3x²(1-x) + 4x³(1-x)² + ...

S(1-x)² = 1 + x + x² + x³ + ...    eqn (1)

Using the formula for the sum of an infinite geometric series when |x| < 1, we have:

1/(1-x) = 1 + x + x² + x³ + ...

Substituting this into equation (1), we get:

S(1-x)² = 1/(1-x)

S = 1/[(1-x)²]

In conclusion, the sum to infinity of the series 1 + 2x + 3x² + 4x³ + ... is 1/[(1-x)²] when |x| < 1

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Answer:

angle 1 = 105º

angle 2  = 75º

Step-by-step explanation:

angle 2  = 75º

corresponding angle to the 75º angle

angle 1 = 105º

it's supplementary to angle 2

180 - 75 = 105

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

Answer:

1 hour

Step-by-step explanation:

4 hours - 3 hours = 1 hour together.

Answer: Attached photos, and the last question of my explanation.

Step-by-step explanation: If "bracelets cost $3 and necklaces cost $6"  that means we will multiply.

1. for Bracelets (1 bracelet = $3)

(0 x 3 = 0) 1. $0

(1 x 3 = 3) 2. $3

(2 x 3= 6) 3. $6

(3 x 3 = 9) 4. $9

(3 x 4 = 12) 5. $12

Explanation: We have to multiply 5 different numbers to fill in the 5 rows of bracelets & necklaces. (0,1,2,3,4 = 5 numbers). For example, if we buy 2 bracelets, 1 bracelet = $3 and 3*2=6 so it would be 6.

2. for Necklaces (1 necklace equals $6)

(0 x 6 = 0) 1. $0

(1 x 6 = 6) 2. $6

(6 x 2 = 12) 3. $12

(6 x 3 = 18) 4.  $18

(6 x 4 = 24) 5. $24

3. coordinates

1. (0,0)

2. (3,6)

3. (6,12)

4. (9,18)

5. (12,24)

Putting the coordinate pairs on the graphs: the first number is x and the second is y.

5. What is the relationship between the corresponding terms in the two sequences: The second sequence is the product of multiplying sequence 1 and sequence 2.

Answer:

The simplified expression is -4(-15+4n)-3(7+9). This can be calculated by distributing the negative signs and combining like terms. This gives -4(-15+4n)-3(7+9), which is an equivalent expression.

Step-by-step explanation:

Answer:

-8 and 3, or -3 and 8

Step-by-step explanation:

xy = -24

x - y = 11

x = y + 11

y(y + 11) = -24

y^2 + 11x + 24 = 0

(y + 8)(y + 3) = 0

y = -8 or y = -3

x = 3 or x = 8

the numbers are -8 and 3, or -3 and 8

The interpretation of 70 in the estimated simple linear regression equation is that for every one-unit increase in X, the predicted value of Y increases by 70 units.

a. In a simple linear regression equation, the coefficient of the independent variable (X) represents the change in the dependent variable (Y) for a one-unit increase in X, while holding all other variables constant. Therefore, the interpretation of 70 is that, on average, for every one-unit increase in X, the predicted value of Y increases by 70 units.

b. The t-test statistic measures the number of standard errors the estimated slope is away from the null hypothesis value of zero. A t-test statistic of 3.3 indicates that the estimated slope is significantly different from zero at the specified level of significance. This suggests that there is evidence to support the claim that there is a linear relationship between X and Y in the population.

c. The p-value (sig) associated with the estimated equation slope measures the probability of observing a t-test statistic as extreme as the one obtained, assuming the null hypothesis (slope = 0) is true. In this case, a p-value of 0.008 means that there is a 0.008 probability of observing a t-test statistic as extreme as 3.3 if the null hypothesis is true. Since this probability is small, we reject the null hypothesis and conclude that there is evidence to support the presence of a linear relationship between X and Y in the population.

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The ER diagram in Chen's notation for the given facts would include two entities: "Sport" and "Event." The relationship between the entities would be represented as a one-to-many relationship, where each sport can have multiple events, but each event is associated with only one sport.

In Chen's notation, entities are represented as rectangles, and relationships are represented as diamonds connected to the entities with lines. Based on the given facts, we would have two entities: "Sport" and "Event."

The "Sport" entity would have an attribute representing the name of the sport. The "Event" entity would have attributes such as the name of the event, date, location, and any other relevant information.

To represent the relationship between the entities, we would draw a line connecting the "Sport" entity to the "Event" entity with a diamond at the "Event" end. This indicates a one-to-many relationship, where each sport can have multiple events. The relationship line would have a crow's foot notation on the "Event" end, indicating that each event is associated with only one sport.

Overall, the ER diagram in Chen's notation would visually depict the relationship between sports and events, illustrating that each sport can have multiple events, but each event is specific to only one sport.

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Answer:

17%

Step-by-step explanation:

Percentage of full time employees who ride bus to and fro from work?

Since the table as been arranged as a two way frequency table., we only need to find the value at the intersection of the two Given conditions ;

Horizontally, the type of ride = bus

Vertically, the type of employee = full-time

Hence, full time employees who take bus to and fro = 0.17

As a percentage =, (0.17 * 100) = 17%

The given ratio of men to women working for the company is "to". Since the exact ratio is not provided, let's assume the ratio is "x:y". We are also given that there are "z" women working for the company.

To find the total number of employees, we need to determine the number of men working for the company.

Using the given ratio, we can set up the equation:
x/y = z/1

Cross-multiplying, we have:
x = z * y

Now, to find the total number of employees, we add the number of men and women:
Total employees = number of men + number of women
Total employees = x + z

Substituting the value of x from the equation above, we get:
Total employees = (z * y) + z

Simplifying the expression, we have:
Total employees = z * (y + 1)

In conclusion, the total number of employees in the company is z times the sum of the ratio (y+1).

Note: Since the exact ratio is not given, we cannot provide a numerical value for the total number of employees.

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Answer:

The vertical intercept is 5y. The slope is 1/2

Step-by-step explanation:

Please mark Brainliest

Answer:

13/48, 7/24, and 15/48

Step-by-step explanation:

When we have two numbers A and B  (such that A < B), the mean between these numbers is:

mean = (A + B)/2

And we will always have that:

A < mean < B

In this case, we have the numbers 1/4 and 1/3

The mean between these numbers is:

M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24

we know that 7/24 is an integer that is between the numbers  1/4 and 1/3

Now we can take the mean between 1/4 and 7/24

M = (1/4 + 7/24)/2

   = (6/24 + 7/24)/2 = (13/24)/2 = 13/48

And we have:

1/4 < 13/48 < 7/24

Now we can find the mean between  7/24 and 1/3:

M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48

then:

7/24 < 15/48 < 1/3

Then we can write:

1/4 < 13/48 < 7/24 < 15/48 < 1/3

Then the 3 rational numbers between 1/4 and 1/3 are:

13/48, 7/24, and 15/48

If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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Answer:

4 and 72

Step-by-step explanation:

Answer:

4 and 72 !

Step-by-step explanation:

Answer:

My emotional speech to you : Yolo UWU or you got this, I believe you can achieve great things, and you probs think hah no, but lOOk Me DeAd In thE EyE thrOuGh The scReen, HUnNy U GOt thIs, RePeAt It :)

The measures m∠k = 94° and kl ≈ 3.2 units are accurate regarding triangle JKL.

Triangles are three-sided polygons with three vertices.

The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.

It is a fundamental form in geometry.

Triangle ABC denotes a triangle with vertices A, B, and C.

In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

The other measures (k ≈ 3.7 units and k ≈ 4.6 units, and kl ≈ 2.5 units) are not specified and may not be accurate, as they are not given in the information provided.

The accuracy of these measures would depend on the method used to obtain them and the precision of the measuring instruments used.

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Answer: It is B(3.7) and E(3.2)

Do not listen to the other guy. I did this work ,its correct.

It's not A (94) because if you  58 +38 and subtract it by 180, it will equal 96

Step-by-step explanation:

quotient = the answer to a division problem

To divide by a fraction, multiply by the reciprocal of the fraction

reciprocal of a fraction = the numerator and denominator are reversed

First, convert "three and two thirds" into an improper fraction:

\(3\dfrac{2}{3}\)

⇒ Multiply the whole number by the denominator and add the numerator:

\(\dfrac{11}{3}\)

Now, we want to divide this number by three fifths:

\(\dfrac{11}{3}\div\dfrac{3}{5}\)

⇒ Dividing by a fraction is the same as multiplying by its reciprocal:

\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)

\(\dfrac{55}{9}\)

theannswer wold be 100 .33 .87

Answer:

k = 29

29 + 6 = 35

-3 + 5 = 2

35 + 2 = 37

No.

A fifth degree polynomial, having a graph that increases and starts from below x-axis.

Therefore, no matter what equation it is. The fifth degree polynomial will intercept x-axis AT LEAST one.

The fifth degree polynomial can have only at maximum, 4 complex roots.

You can try drawing or seeing the graph of fifth-degree polynomial function. No matter what equations, they still intercept at least one x-value.

Answer:

11.2

Step-by-step explanation:

multiply 1.6 by 7 since that's how many days there are in a week

Answer:

11.2

Step-by-step explanation:

you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2

hope it helps.

Answer:

3 miles

Step-by-step explanation:

to find the amount of miles it is to the library you have to find how many miles it is when the minutes are zero

so when x = 0 what is y

0 + 7y = 21

7y = 21

y is 3

so that means the library is 3 miles away from his house

Answer:

38.13 ft squared

Step-by-step explanation:

Since it is half of a circle we first find the area of a normal circle then divide by two.

So to find the area of  a circle it is pi times radius squared which in this case it would be 3.14 times 9 = 28.26

Then since it is a half circle we divide by two so

28.26/2 = 14.13

Then to find the area of the triangle we do 4 times 6 which is 24.

now we add the two which is 14.13 + 24 which is

38.13