The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years ​(104 ​weeks) are shown to the right.

Answers

Answer 1

The expected number of mortgages approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.

The expected number of mortgages approved per week :

Mean = (Σfx ÷ Σf)

Expected Number approved = 210 ÷ 104 = 2.019

Hence, it is expected that 2.019 mortageahes would be approved per week.

The standard deviation :

Variance = [Σ(Xi - x)² ÷ Σf]

Standard deviation = √Variance

Variance = (59.5414 ÷ 104) = 0.0005698

Standard deviation = √0.0005698

Standard deviation = 0.024

Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.

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The Manager Of The Commercial Mortgage Department Of A Large Bank Has Collected Data During The Past

Related Questions

(sinα+cosα)^2−(sinα−cosα)^2​

Answers

Answer:

Error

Step-by-step explanation:

The answer is Error u might want to ask ur teacher

Two parallel lines are cut by a transversal as shown below.

Suppose m<3=79. Find m<6 and m<8

Answers

Answer:

byebyebyebyebyebbyebyebye

May I please receive help?

Answers

Answer:

a) 60°  b) 50°

Step-by-step explanation:

The measurements of a triangles total angles is always equal to 180.

In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.

In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.

All you  need to do now is subtract 80 from 180 and divide the diffrence by 2.

So, 180-80=100

     100/2=50

     S=50

     Q=50

I hope this helped! :D

a bag contains 13 triangles. I chose one at random. what is the probability that the sum of the angles measures of the one i chose to 180degrees

Answers

The probability 100% because the angles of a triangle always add up to 180°.

14 divided by 7,574 I need the answer to be simplified, please

Answers

Answer:

0.0243902439

Step-by-step explanation:

3,5,8,11,17-35odd,47,54,70,78,80,81 pls help

Answers

Answer:

54, 78, 70, 47, 80, 81,

Step-by-step explanation:

700000x800000000 what is equivalent to 6x+9+-6

Answers

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.

Three of the sides will require fencing and the fourth wall already exists.

If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?

Answers

Answer:

where is the figure?? thanks

what type of number is 40 squared
a. whole number
b. integer
c. irrational
d. rational
(THE ANSWER CAN BE MORE THAN ONE CHOICE)

Answers

Answer:

Step-by-step explanation:

A. C. np

5r-8=9r-12 answer this plsss

Answers

Answer:

R=1

Step-by-step explanation:

5

8

+

8

=

9

1

2

+

8

ask you teacher how to solve linear equation he or she could help with that

find midpoint of (7,-3) and (15,-8)

Answers

Answer:

{0.5(7+15),0.5(-3-8)}

Step-by-step explanation:

(0.5(sum of x values),0.5(sum of y values))

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the vertical change from the start of the ride for the coaster after the 20 seconds?

Answers

The question is an illustration of arithmetic operations.

The integer that represents the vertical rise is 76

Upward movements are represented with positive, while downward movements are represented with negative.

So, the given parameters are:

[tex]Up = 100m[/tex]

[tex]Down = -72m[/tex]

[tex]Up= 48m[/tex]

The vertical rise is:

[tex]Rise = Up_1 + Down + Up_2[/tex]

So, we have:

[tex]Rise = 100m -72m +48m[/tex]

[tex]Rise = 76m[/tex]

Hence, the integer that represents the vertical rise is 76

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WILL GIVE BRAINIEST What is the solution set to log(x+4) < log6 x

Answers

It is B.

the question is so tough

5. Rewrite the quadratic funtion from standard form to vertex form.
Ax) = 2x2 + 8x + 70

Answers

Answer:

[tex]y = 2 {(x + 2)}^{2} + 62[/tex]

Step-by-step explanation:

vertex form is

[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]

our original equation

[tex]2 {x}^{2} + 8x + 70[/tex]

first we will find the x value using the formula

[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]

plug the value of x back into the original equation to solve for y

[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]

substitute this back into our vertex form and not forgetting the coefficient a = 2

[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]

STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being made must be a tolerance of 0.04 mm. The inspector is examining bolts that are to have a diameter of 6.5 mm.

Answers

From an absolute value inequality, we have that:

The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.

The absolute value measures the distance of a point or a function to the origin.One example of inequality is:

[tex]|f(x)| \leq a[/tex]

Which has solution:

[tex]-a \leq f(x) \leq a[/tex]

In this problem:

Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:

[tex]|D - 6.5| \leq 0.04[/tex]

Applying the solution:

[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]

[tex]-0.04 \leq D - 6.5[/tex]

[tex]D - 6.5 \geq -0.04[/tex]

[tex]D \geq 6.46[/tex]

[tex]\leq D - 6.5 \leq 0.04[/tex]

[tex]D \leq 6.54[/tex]

The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.

A similar problem is given at https://brainly.com/question/24835634

Pls answer this question

Answers

Answer:

648

Step-by-step explanation:

02 =29283 \y8283 862bh7363 sin tag 2836

What is the GCF of 10890 and 15400?

Answers

Answer:

The Greates Common Factor (GCF) is:   2 x 5 x 11 = 110

10890:   2  335  111115400:   222  55711 GCF:   2    5  11 

110 is the GCF of 10890 and 15400.

What are Factors?

A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.

GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.

Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....

Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....

By observing the factors of both numbers 10890 and 15400.

110 is the greatest common factor of 10890 and 15400.

Therefore 110 is the GCF of 10890 and 15400.

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Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure

Answers

Answer:

Step-by-step explanation:

2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees

Let the smaller angle be x

The larger angle will be 3x+8

X+3x+8=180

4x=180-8=172

X=172/4

X=43

3*43+8= 137

7069 divided by 328 in need the reminder

Answers

Answer:

21.5518292683

Step-by-step explanation:

7069 / 328 = 21.5518292683

21 remainder 181

7069/328 = 21.5518927
21 x 328 = 6888
7069 - 6888 = 181

1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?

Distributive property and division property of equality

Subtraction property of equality and division property of equality

Distributive property and collecting like terms property

Addition property of equality and division property of equality

Answers

Answer:

B. Subtraction property of equality and division property of equality

Step-by-step explanation:

Given equation:

8.5d + 7.5 = 100 + 3

Step 1, subtract 7.5 from both sides:

8.5d = 103 - 7.5

Step 2, divide both sides by 8.5:

d = 95.5/8.5

Correct answer choice is B

8(11 - x) = 152

Solve for x

Answers

the answer isssss x=-8

Write the equation of the line through
(0, 4) and (2, 0) in slope-intercept form.

Answers

Answer: y = -2x + 4

Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.

now we need to find the slope. we can do this by plugging the two points into the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. so we'd have [tex]\frac{0-4}{2-0}[/tex] to get -4/2 which is -2. -2 is the slope.

so the final answer is y = -2x + 4

6/7 divided by 9/14 simplify help me plsss!

Answers

Answer: 3/4

Step-by-step explanation:

9/14 divided by 6/7 is 3/4

Find the reciprocal of the divisor

Reciprocal of 6/7: 7/6

Now, multiply it with the dividend

So, 9/14 divided by 6/7 = 9/14 x 7/6

= 9 x 7 = 63

= 14 x 6 = 84

After reducing the fraction, the answer is 3/4

Hope this helps :)

The division of the fraction 6/7 by 9/15 gives the result 4/3.

To simplify the division of 6/7 divided by 9/14, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, the reciprocal of 9/14 is 14/9.

Now, rewrite the division as multiplication:

(6/7) * (14/9)

To multiply fractions, multiply the numerators together and the denominators together:

= (6 * 14) / (7 * 9)

= 84/63

Now, divide the numerator and denominator by their greatest common divisor, which is 21:

= (84/21) / (63/21)

= 4/3

Therefore, 6/7 divided by 9/14 simplifies to 4/3.

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When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number​

Answers

Answer:

It would be 6.

Step-by-step explanation:

6 halved is 3.

3, then 5 added is 8.

A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation LaTeX: 1.5s+3.5c=21 represents the relationship between sheets of stickers, LaTeX: s, packs of cardstocks, LaTeX: c, and the dollar amount a kindergarten teacher spent on these supplies.

Answers

Answer:

Done

Step-by-step explanation:

Teacher bought $21 worth of stickers and cardstock for his class.

Cost of stickers = $1.50 per sheet

Cost of 's' sheets = $1.5s

Cost of cardstock = $3.50 per pack

Cost of 'c' packs = $3.5c

Equation representing the relationship between sheet of stickers and packs of cardstocks will be,

1.5s + 3.5c = 21

3.5c = -1.5s + 21

1).  

  y-intercept of the line → (0, 6)

  x-intercept of the line → (14, 0)

  Therefore, equation of the line represents the line on the graph.

2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.

  Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.

I need help pls tyvm :)​

Answers

Answer:

16. C

17. B

Step-by-step explanation:

All you have to do is plug in the numbers into the pythagorean theorem. The Pythagorean Theorem is: [tex]a^2+b^2=c^2[/tex] Now I encourage you to try these problems out for yourself and see why they're correct. Doing these will help you solve other propblems like this. Remember the hypotenuse is alays the longest side. ;)

Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.

Answers

The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].

Given expression is:

[tex](4-5i)(2+6i)-(3-2i)[/tex]

By applying the multiplication, we get

→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]

By multiplying the (-) sign into the bracket, we get

→ [tex]8-10i+24i-30i^2-3+2i[/tex]

→ [tex]5+16i-30i^2[/tex]

By arranging the terms, we get

→ [tex]-30i^2+16i+5[/tex]

Thus the answer above is right.

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what is the answer i need help

Answers

Answer:

[tex]f( - 1) = - 2[/tex]

Step-by-step explanation:

[tex]f(x) = - {x}^{2} + x \\ f( - 1) = - {( - 1)}^{2} + ( - 1) \\ = - (1) + ( - 1) \\ = - 1 - 1 \\ f( - 1)= - 2[/tex]

I hope I helped you^_^

Correct answer gets brainly!!

Answers

Answer:

Part A. the answer is 90

Part B. the answer is 145

Hope this helps :P

Step-by-step explanation:

The answer are 90 and 145

A container has 2 ½ cups of juice in it.
Ping drinks ⅜ cup of juice.
Preston drinks 7/10 cup of juice.
How much juice is in the container now?

Answers

Answer: 57/40 or 1 17/40

Step-by-step explanation: 2 1/2 - 3/8 = 17/8 or 2 1/8        

17/8 or 2 1/8 - 7/10 = 57/40 or 1 17/40

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