A population is normally distributed with mean 36.3 and standard deviation 0.5. Find the following probability. (Round your answer to four decimal places.) p( 36.3 < x < 36.8 )

The product of 6 with x is written as:

Since 6*x must be no more than 30 that implies that it could be any number equal to or smaller than 30, meaning,

Answer:

\(y=-\dfrac{1}{5} x+7\)

Flip equation:

\(-\dfrac{1}{5} x+7=y\)

Add -7 to both sides:

\(-\dfrac{1}{5} x+-7=y+-7\)

\(-\dfrac{1}{5} x=y-7\)

Divide both sides by \(-\dfrac{1}{5}\):

\(\dfrac{-\dfrac{1}{5}x }{-\dfrac{1}{5} } =\dfrac{y-7}{-\dfrac{1}{5} }\)

\(\fbox{x = -5y + 35}\)

Answer:

1) 15-4x

2) 3x+2

Step-by-step explanation:

1) product of x and 4 is 4x then subtract that from 15

2) use x as your age in this situation so your age times 3 is 3x and since he's 2 years older than that u add 2 more

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer:

Since JH is perpendicular to JE and HI is perpendicular to IE, and JH is congruent to HI, the angles formed by JH and HI are equal. This means that the corresponding angles formed by JE and IE are also equal. Since corresponding angles are equal, JE is congruent to IE.

Step-by-step explanation:

The principal amount of the loan is  $5200 with a simple interest charged on it at an annual rate of 10.2%. The amount of interest she paid on the loan is $662.  The number of months she took to pay the total loan would be 15 months.

Formula used,

Interest = Principal amount × Rate of interest × Time ---- (1)

S.I.=P×R×T

Given that:

P = $5200, R= 10.2% , S.I.= $663

On putting the values in equation (1) we get,

663 = 5200 ×0.102×T

Simplifying the above equation, we obtain,

663= 530.4× T

T = 663÷530.4

T= 1.25 years

For time taken in months, we have to multiply the time by 12 months :

T = 1.25×12

T= 15 months

Time= 15 months

Hence, the loan was taken for a period of 15 months.

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Answer:

0

Step-by-step explanation:

H0 : μ = 840

H1 : μ < 840

Sample size, n = 49

Standard deviation, s = 14

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (830 - 840) ÷ (14/7)

Test statistic = - 10 / 2

Test statistic = - 5

The Pvalue ;

Pvalue = P(Z < - 5) = 0 (Z probability calculator)

The Pvalue = 0

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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Answer:

7/2 ➜ 7/10

3/5 ➜ 3/10

Answer:

B

Step-by-step explanation:

3*10=30

1/2 of 10=5

30+5=35

Value of x in triangle ABC for area =4√2m² and sides AB=(x+ 2)m,

BC = (2x-3)m and m∠ ABC = 45° is equal to 3.076m.

As given,

In triangle ABC,

Area of ΔABC=4√2m²

AB =(x+ 2) meters,

BC=(2x-3) meters

m∠ ABC=45°

Area of ΔABC = (1/2)×AB×BC ×sin ∠ABC

⇒4√2= (1/2)×(x+2)×(2x-3)×sin45°

⇒16 =2x²+x-6

⇒2x² +x -22=0

Now,

x =(-1±√1² -4(2)(-22))/2(2)

   =(-1±√177)/4

   =-3.576 or 3.076

Value of x cannot be negative.

Therefore, value of x for area of ΔABC =4√2m²and sides AB=(x+ 2)m,

BC = (2x-3)m and m∠ ABC = 45° is equal to 3.076m.

The complete question is:

The area of a triangle ABC is 4√2m². In triangle ABC , side AB = (x+ 2) meters, side BC = (2x-3) meters and m∠ ABC = 45° ,work out the value of x, give your answer to 3 significant figures.

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A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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If Sanjay bought 14 T-shirts, he paid $133.

Given:

Equation=c = 9.5t

Number of T-shirt=14

Where:

c=Total cost

t=Number of T-shirts

Hence:

Total cost=9.5t

Total cost= 9.5(14)

Total cost=$133

Therefore If Sanjay bought 14 T-shirts, he paid $133.

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Answer:

Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper. To enable to do this easily, draw an x-axis which is big enough for the largest value in the data, and small enough for the smallest value in the data (in the entire collection of data). Plot each box-and-whisker diagram below each other.

Step-by-step explanation:

pls mark

Answer:

Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper.

Step-by-step explanation:

Answer: 7 miles

Step-by-step explanation:

The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.

The distance between the points is therefor the difference between the x coordinates.

4 - (-3) = 7

You can also just count the spaces between the points!

Answer:

1 out of 3 people vote for junior

Step-by-step explanation:

The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

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To solve for the second number given the GCF and LCM of two numbers and one of the numbers, we can follow the steps below:

\(\sf{Let\:the\:two\:numbers\:be\: represented\:by}\)\:\(\sf{a\:and\:b,\:where\: a\: is \:given\: as\:45.\)

\text{We know that the GCF of } a \text{ and } b \text{ is 3, which means that 3 is a factor of both } a \text{ and } b.} \

\text{We also know that the LCM of } a \text{ and } b \text{ is 180, which means that } a \text{ and } b \

\text{have no common factors other than 3, and their product divided by 3 equals 180:} \

a \times b &= 3 \times \text{LCM}(a, b) \

&= 3 \times 180 \

&= 540 \

\text{Since we know that } a = 45, \text{ we can substitute this into the equation above to solve for } b: \

45 \times b &= 540 \

\text{Dividing both sides by 45, we get:} \

b &= 12 \

\end{align*}

Therefore, the second number is 12.

Answer: b=12

Given:

a = 13

b = 16.9

A = 26 degrees

Asked: What are the values for angles B and C and side c?

Solution:

To solve this problem, we will be needing the formula for the sine law.

Sine Law Formula:

Now, we will first solve for the angle B.

Now that we have angle B, we can now find angle C by combining all the angles and equate it to 180 degrees.

In order to find side c, we will use again the sine law formula.

ANSWER:

Angle B = 35 degrees

Angle C = 119 degrees

Side c = 25.9

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

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Answer:

y=3x-2

Step-by-step explanation:

y=mx+c

or

y-y1=m(x-x1)

Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Answer:

The AP is 1, 11/2, 10, 29/2, 19, ....

Step-by-step explanation:

Let the first term be a and d be the common difference of the arithmetic progression.

ATQ, a+2d+a+6d=38, 2a+8d=38 and a+8d=37. Solving this, we will get a=1 and d=9/2. The AP is 1, 11/2, 10, 29/2, 19, ....

\(\angle GFH=60^{\circ}\) (alternate interior angles)

\(\angle HGE=90^{\circ}\) (sides of a rectangle meet at right angles)

\(\angle AFE=30^{\circ}\) (sum of angles in a triangle)

Answer:

50

Step-by-step explanation:

62+68 is 130. 180-130 is 50

The equation is written as

Aisha has 15 points

Let's use the given information to set up an equation to represent the relationship between the points each friend has.

Let x be the number of points Aisha has.

Then, according to the problem statement, we know that:

Carter has 7 1/2 more points than Aisha, so he has

x + 7 1/2 points.

Jamila has 4 - 1/2 more points than Carter, so she has

x + 7 1/2 + 4 - 1/2 points,

which simplifies to x + 11 points.

Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:

x + 11 = 26

x = 26 - 11

x = 15

Therefore, Aisha has 15 points.

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