simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)

Answer: It is A certain.

Step-by-step explanation:

Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 387.20, \sigma = 68.50[/tex]

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

[tex]Z = \frac{425 - 387.20}{68.50}[/tex]

[tex]Z = 0.55[/tex]

[tex]Z = 0.55[/tex] has a pvalue of 0.7088

X = 325

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

[tex]Z = \frac{325 - 387.20}{68.50}[/tex]

[tex]Z = -0.91[/tex]

[tex]Z = -0.91[/tex] has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Answer:

1.8

is the median

Answer: 1.8

Step-by-step explanation: 1.8 is the median

Answer:

[tex]\dfrac{40}{42}[/tex]

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

[tex]\dfrac{x}{x+2}[/tex]

If both numerator and denominator are decreased by six, the fraction becomes:

[tex]\dfrac{x-6}{x+2-6}[/tex]

The simplified result is [tex]\dfrac{17}{18}[/tex]

Therefore:

[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]

Substituting x=40 into the initial fraction

[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]

Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]

Answer:

$3900.

Step-by-step explanation:

If retirement is taken at the age of 67 years, income  = $1300 per month.

% Loss, if retirement taken at the age of 62 years = 25% per month

Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years

[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]

We know that there are 12 months in an year.

So, annual loss in total annual income over one year:

Loss in dollars per month [tex]\times[/tex] 12 :

325 [tex]\times[/tex] 12 = 3900$

Answer: $3,900

Step-by-step explanation:

What you usually make:

$1300 * 12 months = $15600

What you make with the cut:

$1300 * 0.75 = $975

* 12 months = $11700

15600-11700 = $3900

Answer:

Pizza eaten together: 5/6,

Pizza left over: 1/6

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

[tex] \\ [/tex]

Step-by-step explanation:

How much did they eat all together?

[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]

[tex] \\ [/tex]

How much was left over?

[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]

Answer:

A. 2

Step-by-step explanation:

[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.

Answer:

(8, 6)

Step-by-step explanation:

First, we find the distance between the two points.

Both have the same x-coordinate, 8, so the distance is simply the difference in y.

|11 - 1| = 10

The distance between the points is 10.

Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.

The midpoint of a diameter is the center of the circle.

(1 + 11)/2 = 12/2 = 6

The center o the circle is (8, 6).

Answer:

their all less than 90 degress so its acute

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: mark obtained in an aptitude test by a candidate.

This variable has a mean μ= 128.5 and standard deviation σ= 8.2

You have the data of three scores extracted from the pool of aptitude tests taken.

148, 102, 152

The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134

I hope this helps!

Answer:

24

Step-by-step explanation:

Ameeta = 12 math problems.

David =12×3=36 math problems

So 36-12=24

Answer:

12

David's

3 times longer

comparison problem

Step-by-step explanation:

got right on edge

Answer:

15 liters

Step-by-step explanation:

60/480= 0.125

0.125*360= 45

60-45= 15

Answer:

It could fly 10,8 kilometers.

Step-by-step explanation:

The European swallow fly speed is 12 meters per second.

We have to calculate how many kilometers it could fly in 15 minutes.

This can be calculated using the equivalent factors for each of the units:

- 1 km is equivalent to 1,000 meters.

- 1 minute is equivalent to 60 seconds.

We know that the distance travelled by the fly is the product of the speed and the time, so we have:

[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]

Step-by-step explanation:

D.12

A.26

........................

Answer:

D and A

Step-by-step explanation:

D= 132

A is larger than 132

Answer:

140

Step-by-step explanation:

175% of 80 = 140

Answer:

Option A is correct

Step-by-step explanation:

a^(6/4) = a^(3/2)

b^(4/4) = b

c^(8/4) = c^2

Hope this helps!

:)

Answer:

$27.98

Step-by-step explanation:

100 - 30 in price %=70%

Price will be 70% of original regular price

$39.98 * .7 = answer

Answer:

Discount is $11.99

Total is now $27.99

Step-by-step explanation:

To find the discount, you find out what 30% is of 39.98, so you multiply

39.98 x 30%(or .3) = 11.994

39.98- 11.99= 27.99

Answer:

First one:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

Step-by-step explanation:

7 × 8⅘

7(8) + 7(4/5)

56 + 28/5

56 + 5 + 3/5

61 3/5

Answer:

its A

Step-by-step explanation:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

and pls mark me as brainliest if this is correct! :D

Answer:

Yes

Step-by-step explanation:

6z > 15

z > 15/6

z > 2.5

So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.

Answer:

1/2 x 4/1 x 2/1 = 4

4th should be 1/6 btw

Step-by-step explanation:

Answer:

Step-by-step explanation:

We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2

(you might have to draw this cube just sayin idk exactly what it wants)

Answer:

$2680

Step-by-step explanation:

3.00-1.50= 1.50 profit per hotdog

1200+800=2000 expenses

1.50 (3120) = 4680

4680-2000=

2680 in profit

Answer:

To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.

Our length is 2ft, since it's a rectangle the other side is 2ft as well.

The width is 3ft, and the other half is 3ft.

So, basically to get the area of the hole, it'd be 3*2=

Which, it's 6sq ft.

Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3

Answer:

360 cm^2

Step-by-step explanation:

length x width x height

6 x 6 x 10

Answer:

360cm^3

Step-by-step explanation:

V=L*W*H

V=6*6*10

V=36*10

V=360

Answer:

Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.

Step-by-step explanation:

Answer:

The pattern is multiplying by 2.

Next three terms: 64,128,256

Step-by-step explanation:

4,8,16,32

To get from 4 to 8 we can multiply by 2.

To get from 8 to 16 we can multiply by 2.

To get from 16 to 32 we can multiply by 2.

So the pattern is multiplying by 2.

To find the next three terms:

32*2=64

64*2=128

128*2=256

Answer:

100°

Step-by-step explanation:

The angle between chords is the average of the intersected arc angles.

∠FKJ = ½ (84° + 76°)

∠FKJ = 80°

∠HKJ is supplementary to ∠FKJ.

∠HKJ = 180° − 80°

∠HKJ = 100°

Answer:

Last formula

[tex] {side}^{2} + \frac{\pi {r}^{2} }{2} [/tex]

Step-by-step explanation:

Composite figure is made up of a square and a semicircle.

Therefore,

Area of composite figure= area of square + area of semicircle

[tex] \huge\purple {\boxed {= {side}^{2} + \frac{\pi {r}^{2} }{2}}} [/tex]

Answer:

A line has equation y = ax + b, perpendicular to the line  y = -5x - 4

=> a x (-5) = -1 => a = 1/5.

This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3

=> Equation of this line: y = (1/5)x + 3

Hope this helps!

:)

The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

The general equation of a straight line is -

y = mx + c

Given is a line that passes through (0, 3) and is perpendicular to the

line → y = - 5x - 4

Since the line is perpendicular to the line → y = - 5x - 4. We can write -

m[L] = -1/-5

m[L] = 1/5

Assume that the equation of the line is -

y = m[L]x + c

y = x/5 + c

Since the line passes through the point (0, 3), we can write -

3 = 0 + c

c = 3

The final equation of the line will be -

y = x/5 + 3

Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

To solve more questions on Straight lines, visit the link below-

https://brainly.com/question/27730503

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