DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

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

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

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

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

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#SPJ1

Answer:

D) -[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.

Answer:

D,_3/2

Step-by-step explanation:

when two lines are perpendicular, m¹=_1/m²

The answer is -2 -1

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

Step-by-step explanation:

Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?​

so 1 apple has 1/10 gram of fat

10 apples = 1 gram of fat

10 * 4 = 40 apples have a total of 4 grams

Answer:

D

Step-by-step explanation:

Gemdas-this means grouping

exponent, multiplication, Division,addition,

and subtraction order of operations

Sana tama HAHAHAHA

Step-by-step explanation:

Total ratio =11+9

=20

=120/20×124

=744

therefore the number of students are 744

Answer:

54 Degrees

Step-by-step explanation:

We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.

using this information, we can find n. We know that n+78 is 180, so n=102

We also know that o+102+24=180, so

o=54

Hope this helps!

[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]

ok done. Thank to me :>

Answer:

(5,-3)

Step-by-step explanation:

We can substitute the y in the second equation by the first equation:

2x+3(x-8)=1->

2x+3x-24=1 ->

5x-24=1 ->

5x=25 ->

x=5.

Then solve for y in the first equation:

y=5-8 ->

y=-3.

So the first is correct:

(5, -3)

Hope that helps! :)

Answer:

First option: (5,-3)

Step-by-step explanation:

First turn the second equation to slope intercept form (y=mx+b):

Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.

Now you can graph both, and the solution would be the point that intercepts both of these lines.

(Here it is graphed above for you⤴⤴⤴)

Hope this helps :)

Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:

SR ⊥ QT   (given)

QR ⊥ PS  (given)

Comparing Δ PQS and ΔQST, we have:

Points Q and T are equidistant to bisector SR (bisection property of a line)

Points P and S are equidistant from QR (bisection property of a line)

QS is a common side to the triangles

Then,

PS ≅ QT (similar property of triangles)

Thus,

PQ ≅ ST (Side-Side-Side (SSS) property of triangles)

Therefore by Side-Side-Side (SSS) theorem, PQ = ST.

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Answer:i need this pls

Step-by-step explanation:

Answer:

  A.  AB, BC, AC

Step-by-step explanation:

The side lengths have the same order (smallest to largest) that their opposite angles have.

Angle B = 180° -50° -63° = 67°

The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.

Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)

Answer:

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7

Answer:

-[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

     [] Slope is the m in y = mx + b

     [] Slope is found by using rise over run or, in other words, change in y change in x

     [] Since the line is going down from top left to bottom right, the slope is negative

     [] Since it is graphed and we have clear coordinate-points, we can use rise over run. From (0,3) we count 1 down and 2 over to (2, 2) give us a slope of -1/2

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-1/2

Step-by-step explanation

Answer:

6 ft.

Step-by-step explanation:

If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24  so the expression would be 1/4 x 24

im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.

hope this helps :)

Answer:

  A. 1/4×24 ft

  B. 6 ft, the product has no negative factors that would make it negative.

Step-by-step explanation:

1/4 of the elevation of city C can be written as ...

  (1/4)(24 ft)

__

When the expression is simplified, it becomes ...

  6 ft

The product of two positive numbers is positive.

Answer:

192!!!

Step-by-step explanation:

Answer:

where the numbers at???

Step-by-step explanation:

From the given information, the amount that will be paid averagely each month will be $138.73.

From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.

Therefore, the amount that will be paid each month will be calculated thus:

= $6,659 / 48

= $138.73

The amount will be $138.73.

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https://brainly.com/question/24429956

Answer:

A

Step-by-step explanation:

1000 pepperoni pizzas were 40% of total price. 40*2.5=100. That means 1000*2.5 which equals 2500.

Answer:

y = 19.99x + 17.99

(I just did it)

Answer:

Step-by-step explanation:

2

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square = s²

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

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Answer:

residual is a quantity remaining after other things have been subtracted.

Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

Step-by-step explanation:

Answer:

g= -2

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

1. open the parentheses: 3(5-g)= 15-3g= 21

2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)

15- 3g= 21  =  -3g= 21- 15

-3g= 6

3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.

Hence, g= -2

Hope this helps!

let me know if t does and if the answer is right.

Answer:

i need help with this one too

Step-by-step explanation:

Answer:

2 inches

Step-by-step explanation:

I hope it helps you!

Answer:

  y -5 = 4(x -2)

Step-by-step explanation:

The derivative of the function tells you the slope of the line at the point of tangency.

  f'(x) = 2x

  f'(2) = 4

Then the point-slope equation of the tangent is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)