assume the random variable x is normally distributed with mean μ=90 and standard deviation σ=15. compute the probability p(x>102)

Answer:

( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Step-by-step explanation:

First, let's simplify the mixed numbers by converting them to improper fractions:

15/6 + 7/3 = (15x2)/(6x2) + (7x2)/(3x2) = 30/12 + 14/12 = 44/12

1 1/5 - 1/10 = (5/5 x 1) + 1/5 - 1/10 = 5/5 + 2/10 - 1/10 = 9/10

Now we can perform the multiplication:

(44/12) x (9/10) = (11x4)/(3x2) x (9/10) = 44/6 x 9/10 = (22x2)/3 x 9/10 = 44/15

So ( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Answer:

\(\frac{605}{60}\) or \(10\frac{5}{60}\)

Step-by-step explanation:

First, convert the mixed fractions to improper fractions:

\((\frac{11}{6} +\frac{22}{3} )*(\frac{6}{5} -\frac{1}{10} )\)

Then find the LCM of the denominators of the first fractions ( 6 ):

\((\frac{11}{6} +\frac{44}{6} )*(\frac{6}{5} -\frac{1}{10} )\)

Then add the numerators:

\((\frac{55}{6} )*(\frac{6}{5} -\frac{1}{10} )\)

After that, find the LCM of the denominators of the second fractions ( 10 ):

\((\frac{55}{6} )*(\frac{12}{10} -\frac{1}{10} )\)

Then deduct the values:

\(\frac{55}{6} *\frac{11}{10}\)

Finally, multiply the values:

\(\frac{605}{60}\) or \(10\frac{5}{60}\)

Answer:

a.

Step-by-step explanation:

its the right way

The statement is False.

One of the assumptions for multiple regression is that the residuals (i.e., the differences between the observed values and the predicted values) are normally distributed, but there is no assumption that the explanatory variables themselves are normally distributed. However, if the response variable is not normally distributed, it may be appropriate to transform it or use a different type of regression.

To know more about regression refer here:

https://brainly.com/question/31735997

#SPJ11

The 18th term in the sequence, 5,-3,-1,1,3,  is 31.

The first step is to determine the rate of change between the terms in the sequence.

Difference between the first and second term : -3 - (-5) = 2

Difference between the second and third term: -1 - (-3) = 2

Difference between the third term and fourth term: 1 - (-1) = 2

Difference between the fourth and fifth term: 3 - 1 = 2

It can be seen that the terms in the sequence increases by a value of 2. The terms in the sequence can be represented with a linear equation. A linear equation is an equation that increases by a constant terms

The form of a linear equation :

First term + (rate of increase x term)

-5 + (2 x 18)

-5 + 36

= 31

To learn more about mathematical sequence, please check: https://brainly.com/question/26578277

#SPJ1

The complete statements are,

 Statement                                              Reasons

1) ABCD is an isosceles trapezoid.                Given

AB || CD, AD ≅ BC

2) ∠DAB ≅ ∠CBA                                 Base angle of an isosceles

                                                            trapezoid are congruent.

3) AB ≅ AB                                        Symmetry property of congruence

4) ΔDAB ≅ ΔCBA                              By SAS congruence theorem

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Jorge wants to prove that the diagonals of an isosceles trapezoid are congruent by proving that triangle DAB is congruent to triangle CBA.

Now, Prove by correct statements are,

 Statement                                              Reasons

1) ABCD is an isosceles trapezoid.                Given

AB || CD, AD ≅ BC

2) ∠DAB ≅ ∠CBA                                 Base angle of an isosceles

                                                            trapezoid are congruent.

3) AB ≅ AB                                        Symmetry property of congruence

4) ΔDAB ≅ ΔCBA                              By SAS congruence theorem

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ1

The scalar projection of x onto y is 10, and the dot product of x and y is 240.

The scalar projection of x onto y is given by the formula:

proj_y x = |x| cos(θ),

where |x| is the length of x, cos(θ) is the cosine of the angle between x and y, and proj_y x is the scalar projection of x onto y.

So we have:

proj_y x = |x| cos(θ) = 18 (5/9) = 10.

The dot product of x and y is given by the formula:

x · y = |x| |y| cos(θ),

where |x| and |y| are the lengths of x and y, and cos(θ) is the cosine of the angle between x and y.

So we have:

x · y = |x| |y| cos(θ) = 18 × 24 × (5/9) = 240.

Therefore, the scalar projection of x onto y is 10, and the dot product of x and y is 240.

Learn more about the scalar projection here:

https://brainly.com/question/30156272

#SPJ1

\(a_n = a_(n-1) + a_(n-2)\)

where a_n is the number of bit strings of length n that contain a pair of consecutive 0s, a_(n-1) is the number of bit strings of length (n-1) that contain a pair of consecutive 0s, and a_(n-2) is the number of bit strings of length (n-2) that contain a pair of consecutive 0s.

To find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s, we can start by noting that the number of bit strings of length n that contain a pair of consecutive 0s (a_n) is dependent upon the number of bit strings of length (n-1) that contain a pair of consecutive 0s (a_(n-1)) and the number of bit strings of length (n-2) that contain a pair of consecutive 0s (a_(n-2)). This is because the last two bits of a bit string of length n can be either 00, 01, or 10. If the last two bits are 00, then the bit string of length n contains a pair of consecutive 0s and the remaining bit string must be of length (n-2). If the last two bits are 01 or 10, then the bit string of length n does not contain a pair of consecutive 0s and the remaining bit string must be of length (n-1). Therefore, we can conclude that the recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s is a_n = a_(n-1) + a_(n-2).

Learn more about consecutive here

https://brainly.com/question/13070546

#SPJ4

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:delta math

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

6 trabalhadores

Step-by-step explanation:

Aqui, sabemos que 4 trabalhadores produzem 60 sanduíches em 6 dias.

Agora, queremos saber o número de trabalhadores que produzirão os mesmos 60 sanduíches em 4 dias O que isto significa é que os 4 trabalhadores produzem 10 sanduíches por dia e, portanto, cada um produz 2,5 sanduíches por dia.

Agora temos 4 dias para trabalhar e temos que completar 60 sanduíches. Isso significa que devemos completar 15 sanduíches por dia.

Como cada trabalhador completa 2,5 em um dia, o número de trabalhadores que completam 15 será 15 / 2,5 = 6 trabalhadores

Answer:

The answer is "\(\frac{A}{(x-2)} + \frac{B}{(x+3)}\)"

Step-by-step explanation:

Let the given value is: \(\frac{x-6}{x^2+x-6}\)

\(\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\\)

                \(=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}\)

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

To learn more about Sales manager visit here:

brainly.com/question/30785075

#SPJ4

Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:

The perpendicular slope is -4/3

Step-by-step explanation:

Perpendicular slopes multiply to -1

m * 3/4 = -1

Multiply each side by 4/3

m * 3/4 *4/3 = -1 * 4/3

m = -4/3

The perpendicular slope is -4/3

Answer:

the perpendicular slope is -4/3

Step-by-step explanation:

Answer:

d or c

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

It's ok to plan future activities for the group, but it's best to plan in the beginning of the group.

The critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval, based on a random sample of 30 observations, is t₍₃₀,₀.₀₅₎ = 2.042.

To determine the critical value, we refer to the t-table with degrees of freedom (df) equal to n - 1, where n represents the sample size. In this case, the sample size is 30, so the degrees of freedom is 30 - 1 = 29.

For a 95% confidence interval, we need to consider the two-tailed critical region. Since the area in each tail is 0.025 (0.05/2), we look for the corresponding value in the t-table at a significance level of α/2 = 0.025 for df = 29.

The closest value to 0.025 in the table is 2.042.

Therefore, the critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval based on a random sample of 30 observations is t₍₃₀,₀.₀₅₎ = 2.042.

To know more about critical value, refer here:

https://brainly.com/question/32389590#

#SPJ4

Answer:

i think G sorry if its wrong

Step-by-step explanation:

Answer:

Exact form: x = 3, -3/4 or Decimal form: x = .75, -3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact form:

x = 3/4, -3

Decimal form:

x = .75, -3

Dominic should rent a house given his circumstances and his plans to study in another school.

A down payment is a sum of money that a buyer pays up front to purchase a significant item, like a house or a car. When purchasing a home, the down payment represents normally a portion of the entire cost, with the remaining balance being financed by a mortgage. Many elements, including the buyer's credit score, the kind of mortgage, and the lender's requirements, might affect the down payment amount.

Dominic wants to carry on his education by enrolling in a graduate programme at a different university in a different state. When deciding to settle down for an extended amount of time, buying a home usually makes more financial sense because buying and selling a home can be expensive.

The total savings are:

1500 + 3200 + 1000  

Learn more about down payment here:

https://brainly.com/question/29397199

#SPJ1

hiStep-by-step explanation:

It is False that by adding the number of inner loops , we get the total number of iterations.

A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.

There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.

To learn more about iteration of loops

brainly.com/question/14266710

#SPJ4

Answer:

7.22 x 10^5

Step-by-step explanation:

Remember that the decimal is always to the right of the ones place.

1. Move it one place to the left and multiply by 10 to compensate.

2. Move it two places to left and multiply by 10^2.

3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.

4. Numbers after the 7 that are not zeros will be after the decimal point.

so, 7.22 x 10^5

Answer: 170

Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.

Answer:

<CDA = 170⁰

Step-by-step explanation:

<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}

10⁰ + <D = 180⁰

<D = 180⁰ - 10⁰ = 170⁰

<D = x⁰ = 170⁰ = <CDA

The answers are:

(A) More compound interest than simple interest after 35 years: $260

(B) More compound interest than simple interest after 45 years: $445

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

The interest you earn on interest is known as compound interest.

Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year.

You will wind up with $110.25 at the conclusion of the second year.

Now, calculate according to the given graph as follows:

(A) More compound interest than simple interest after 35 years:

870 - 610 = $260

(B) More compound interest than simple interest after 45 years:

1150 - 705 = $445

Therefore, the answers are:

(A) More compound interest than simple interest after 35 years: $260

(B) More compound interest than simple interest after 45 years: $445

Know more about Compound interest here:

https://brainly.com/question/28020457

#SPJ1

Answer: 51/41

Step-by-step explanation:

5

6

÷

41

6

=  

5

6

×

6

41

=  

5 × 6

6 × 41=

30

24=  

30 ÷ 6

246 ÷ 6

=  

5

41

Step-by-step explanation:

BF is parallel to CG, DH

so here the ans is choice 1

Answer:

BF is parallel to none of the options.

Step-by-step explanation:

The arrangement of the expressions in increasing order of their estimated values is (√24 - √54)/√6 < √(9/20) · (10√2)/3√5 < (10π√2 - 8π√2)/2√2 <  π√(3/5) · π√(5/3).

To arrange the expressions in increasing order of their estimated values, we will simplify the expressions as follows;

The simplification of (10π√2 - 8π√2)/2√2

= 2π√2 / 2√2

= π

The simplification of (√24 - √54)/√6

= (√4x6  - √9x6)/√6

= (2√6 - 3√6)/√6

= -√6/√6

= - 1

The simplification of π√(3/5) · π√(5/3)

= π²√(3 x 5)/(5 x 3)

= π²

The simplification of √(9/20) · (10√2)/3√5

= √(3x3/4x5) ·  (10√2)/3√5

= 3/2√5 × · (10√2)/3√5

= 30√2 / 30

= √2

Thus, the arrangement of the expressions in increasing order of their estimated values is (√24 - √54)/√6 < √(9/20) · (10√2)/3√5 < (10π√2 - 8π√2)/2√2 <  π√(3/5) · π√(5/3).

Learn more about increasing order here: https://brainly.com/question/1462981

#SPJ1

(i) When testing whether girls who attended girls-only high schools do better in math, it is important to control for various factors that could potentially influence math scores.

Some factors to consider are:

(ii) The equation relating the math score (score) to girlhs (dummy variable indicating girls-only high school attendance) and other factors can be written as:

score = β0 + β1 * girlhs + β2 * socioeconomic status + β3 * prior academic performance + β4 * school quality + β5 * peer effects + β6 * teacher quality + β7 * access to resources + ε

This equation represents the structural relationship between the math score and the factors being controlled for. The coefficients β1, β2, β3, β4, β5, β6, and β7 represent the respective effects of girlhs and the other factors on the math score.

(iii) Parental support and motivation, which are unmeasured factors, may be correlated with girlhs. This is because parents who choose to send their daughters to girls-only high schools might have certain preferences or beliefs regarding education, which could include providing higher levels of support and motivation. However, without directly measuring parental support and motivation, it is difficult to establish a definitive correlation.

(iv) To ensure that numghs (the number of girls-only high schools within a 20-mile radius of a girl's home) is a valid instrumental variable (IV) for girlhs, certain assumptions are needed:

(v) If the coefficient estimate on the chosen IV numghs is negative and statistically significant in the reduced form estimation, it suggests a strong relationship between the instrumental variable and the attendance at girls-only high schools. This provides some confidence in the validity of the IV. However, the decision to proceed with IV estimation should also consider other factors such as the strength of the instruments, the overall model fit, and the robustness of the results to alternative specifications.

It is important to carefully evaluate the assumptions and limitations of the IV estimation approach before drawing conclusions in math.

To know more about math and mathematical questions, visit

https://brainly.com/question/33359365

#SPJ11

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

to know more about types of triangle visit:

https://brainly.com/question/2773823

#SPJ1