Which of the following best describes the slope of the line below?
O A. Negative
O B. Zero
O C. Positive
• D. Undefined

Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:

C. 5.48%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].

The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4000 - 3200}{500}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548 = 5.48%.

Hence option C is correct.

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Answer:

36 ÷ __4__ = 9

Step-by-step explanation:

36/9 = 4, so

36 ÷ __4__ = 9

The time it takes to type the document increases proportionately to the

number of words in the document.

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]

The time it would take Maya to type the document is x = 36 minutes

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Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"

So Jane wrote k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Jane wrote k - 4 natural numbers for the given condition.

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Jane wrote all the natural numbers from 5 to k, including 5 and k.

So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.

To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.

1, 2, 3, 4, 5, ..., k-1

So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.

Therefore, she wrote k - 4 natural numbers.

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The total number of cars both the student and the teacher made is 49

let

total cars = x

cars made by student = s

cars made by teacher = t

Total = student + teacher

x = s + t

s = 2/7x

So,

x = 2/7x + t

x - 2/7x = t

t = (7x - 2x) / 7

t = 5/7x

Similarly,

s = t - 21

s = 5/7x - 21

equate both s equation

2/7x = 5/7x - 21

2/7x - 5/7x = -21

(2x - 5x) / 7 = -21

- 3/7x = -21

x = -21 ÷ -3/7

= -21 × - 7/3

= (-21 × -7) / 3

= 147/3

x = 49

Therefore, the total number of cars both the student and the teacher made is 49

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Answer:

Step-by-step explanation:

or

Answer:

atoc40 /atob40/ctob20

i hope i help

Answer:

67

Step-by-step explanation:

angle c = angle b = 5x + 4

angle a = 46

A + B + C = 180

46 + 10x + 8 = 180

10x = 180 - 54

10x = 126

x = 12.6

5x + 4 = 12.6 x 5 + 4

= 67

Answer:

Line GH or Line HG

Step-by-step explanation:

Hope it help !!

Answer:

Step-by-step explanation:

a point to a point which makes a straight line is called a line segment

Step-by-step explanation:

if I understand you correctly, then

cos(theta) = -0.7

then Theta = 134.427004...°

and that is rounded 134.43°

Answer:

a = 22

AB = 50

Step-by-step explanation:

[tex]a-5=17[/tex]

[tex]a=17+5[/tex]

[tex]a=22[/tex]

Line AB=2a+6

[tex]2(22)+6=44+6=50[/tex]

[tex]AB=50[/tex]

Hope this helps

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

Answer:

the answer is 10 :)

Step-by-step explanation:

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

[tex]\mathfrak{10x - 18 = 8x} [/tex]

[tex]\mathfrak{10x - 8x = 18} [/tex]

[tex]\mathfrak{2x = 18} [/tex]

[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]

[tex]\underline{\mathfrak{x = 9}} [/tex]

Measure of ∠R :

[tex]\mathfrak{8x} [/tex]

[tex]\mathfrak{8(9)} [/tex]

[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]

 ღ ꪑ꠸᥅ꫀꪊ

Answer:

y= (x+1)(x+ .5) (x+ 3.5)

y= (x+1) (X - .5) (x-3.5)

y = (x-1) (X-.5) (x-3.5)

y= (x+1) (X- .5) (x +3.5)

Step-by-step explanation:

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ≅ ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

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Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

Answer:

ab hehehe hende ko Alam hahahah

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex]

What is the area of square?

The area of a square is equal to

(side) × (side) square units.

Here given that,

Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]

Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]

So,

[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex].

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Answer:

if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.

[tex]{ \huge \mathfrak \color {pink}{ \tt{answer}}}[/tex]

[tex] \large \color{cyan}{ \tt{x = 12}}[/tex]

Step-by-step explanation:

[tex] \color {cyan}{ \tt{9 + \frac{x}{6 = 11}}} [/tex]

[tex]{ \tt{54 + x = 66}}[/tex]

[tex]{ \tt{x = 66 - 54}}[/tex]

[tex] \huge \color{magenta}{ \tt{ = \: \: x = 12}}[/tex]

[tex] \large \color{brown}{ \tt{hope \: \: it \: \: helps}}[/tex]

Answer:

4x3x2x1=25

Step-by-step explanation:

hope this helps :)

Answer:

46?

Step-by-step explanation:

23*2=46

Answer:

37.31 cm

Step-by-step explanation:

∡ AB = 180 - 148 = 32° = ∡ DE

∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°

∡ CE = 61 + 32 = 93°

arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm

Answer:

x=15

Step-by-step explanation:

if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides

Answer:

123.907

Step-by-step explanation:

Answer:

1100

Step-by-step explanation: