The function y=60/x relates y, the time in hours that it takes Michael to travel to his grandparents’ house, to x, his average speed in miles per hour. What does the number 60 in the function represent? the time, in hours, that it takes to get to Michael’s grandparents’ house the distance, in miles, that must be traveled to get to Michael’s grandparents’ house the fuel, in gallons, that is used to get to Michael’s grandparents’ house the rate, in miles per hour, that Michael travels to get to his grandparents’ house

Answer:

Due to the higher z-score, she should report her ACT grade.

Step-by-step explanation:

Z-score:

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.

Which should she report

The grade with the higher z-score.

SAT:

Scored 610, mean 515, standard deviation 114. So [tex]X = 610, \mu = 515, \sigma = 114[/tex]

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

[tex]Z = \frac{610 - 515}{114}[/tex]

[tex]Z = 0.83[/tex]

ACT:

Scored 27, mean 21, standard deviation 5.1. So [tex]X = 27, \mu = 21, \sigma = 5.1[/tex]

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

[tex]Z = \frac{27 - 21}{5.1}[/tex]

[tex]Z = 1.18[/tex]

Due to the higher z-score, she should report her ACT grade.

Answer:

ACT

Step-by-step explanation:

Answer:

a) 95% confidence intervals are

(64.188, 72.652)

b) Mike use  

(t₀.₀₂₅ , ₆)= 2.4469

Step-by-step explanation:

Step(i):-

Given data

    x    :     65    71    74    61    66    70   72

Mean of 'x'

     x⁻ = ∑ x / n

[tex]x^{-} = \frac{65+71+74+61+66+70+72}{7} = 68.42[/tex]

 x       :     65          71        74          61        66         70          72

x - x⁻   :    -3.42     2.58     5.58      -7.42      -2.42    1.58        3.58

(x-x⁻)² :      11.69   6.65     31.13     55.05     5.85      2.49      12.81

∑((x-x⁻)²) =  125.67

Variance

             S² = ∑((x-x⁻)²) / n-1 = [tex]\frac{125.67}{6} = 20.945[/tex]

Standard deviation S = √20.945 =4.576

Step(ii):-

95% confidence intervals are determined by

[tex](x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +t_{\alpha } \frac{S}{\sqrt{n} })[/tex]

Degrees of freedom

ν =n-1 = 7-1 =6

[tex]t_{\frac{\alpha }{2} , n-1 } = t_{(\frac{0.05}{2} , 6)}[/tex]   = (t₀.₀₂₅ , ₆)= 2.4469

[tex](68.42 - 2.4469 \frac{4.576}{\sqrt{7} } , 68.42 +2.4469\frac{4.576}{\sqrt{7} })[/tex]

( 68.42 - 4.232, 68.42 + 4.232)

(64.188, 72.652)

Conclusion:-

95% confidence intervals are

(64.188, 72.652)

Answer:

64.19 to 72.67

Step-by-step explanation:

Answer:

The suitcase originally weighed 44kg.

Step-by-step explanation:

1- 0.25= 0.75 (multiplier)

33÷0.75=44

The suitcase originally weighed 44kg

Answer:

T < -25

Step-by-step explanation:

Was correct on TTM

Answer:

40x - 16

Step-by-step explanation:

(see attached for reference)

By utilizing the distributive property:

4(10x -4)

= (10x)(4) -4 (4)

= 40x - 16

Answer:

4x10x= 40x           -4x4=-16         40xtimes-4<-----------thats your answer

Step-by-step explanation:

Answer:

x = 2, -3

Step-by-step explanation:

[tex]x^2 + 2x- 6 = 0\\=>x^2 +3x - 2x- 6 = 0\\=>x(x+3) - 2(x +3) = 0\\=> (x-2)(x+3) = 0\\\\[/tex]

(x-2)  = 0     or (x+3) = 0

x = 2  or x = -3

Thus, two values of x are x = 2, -3

Note: The options given are incorrect.

Answer:

a and b.

Step-by-step explanation:

i’m assuming that the 7 is square root of seven.

ap3x verified

Answer:

9 large and 10 small

Step-by-step explanation: The combination to get 19 and start from the middle which is 10 and 9 and interchange them until you get 102 which should be 8x + 3y x is the number of large bottles and y the number of small bottles. Another way to do it is 8x + 3y = 102 and plugin into the calculator both sides on different equations and get the interception

Answer:

9 large bottles

10 small bottles

Step-by-step explanation:

You have to create a system of equations.

Bryan sells a total number of 19 bottles.

x + y = 19

The large bottles sell for $8, and the small bottles sell for $3.  She made $102.

8x + 3y = 102

You can solve this system of equations using substitution.  Rearrange the first equation so that it is equal to y.  Then, plug the y into the second equation.

x + y = 19

y = 19 - x

8x + 3(19 - x) = 102

8x + 57 - 3x = 102

5x = 45

x = 9

Now that you have found the x-value, solve for y.

x + y = 19

9 + y = 19

y = 10

There were 8 large bottles sold and 10 small bottles sold.

Answer:  B) contain the points E and F

Step-by-step explanation:

Dilation of 2 means to multiply both the x- and y-coordinates by 2

see image below

The only option that is true that E'F' contains points E and F

Answer:

  contains the points E and F

Step-by-step explanation:

The center of dilation is an invariant point. It doesn't move, regardless of the dilation factor.

Likewise, any line through the center of dilation will not move. It is not rotated or translated by dilation--it simply is stretched (or compressed) along its length. It is still an infinite line, and it still goes through all of the points it went through before dilation.

The line through the center of dilation that contains points E and F, after dilation, ...

  contains the points E and F.

Answer:

D. 140,000

Step-by-step explanation:

Given:

The maximum weight of one shipping container and its contents = 10,000 pounds.

Therefore:

The maximum weight of 14  shipping containers and their contents

=10,000 X 14

=140,000 Pounds.

The maximum weight of 14  shipping containers and their contents is 140,000 Pounds.

The correct option is D.

Answer:

d

Step-by-step explanation:

Answer:

Blue Triangle.

Step-by-step explanation:

Using the area formula for a triangle, the pink triangle has an area of 0.5×54×33 in² or 891 in². The blue triangle has an area of 0.5×56×39 in² or 1092 in².

Answer:

Step-by-step explanation:

both shapes are triangles so there area is :

A=( b*h) / 2 where h is the height and b the base

A=  (33*54)/2 = 742.5 in²

A= (56*39)/2=  1092 in²

so the blue triangle has a greather area

Answer:

Xavier's age = 23

Yifei's age = 27

Step-by-step explanation:

Represent Yifei's age with Y and Xavier's age with X;

Given that the sum of their ages is 124;

X + Y = 124

Also, given that Yifei is 4 years older

Y = X + 4

Required

Find their age when they got married

From the parameters above, we've been able to form a simultaneous equation

[tex]X + Y = 124[/tex]

[tex]Y = X + 4[/tex]

Substitute X + 4 for Y in the first equation

[tex]X + X + 4 = 124[/tex]

[tex]2X + 4=124[/tex]

Subtract 4 from both sides

[tex]2X + 4 - 4 = 124 - 4[/tex]

[tex]2X = 120[/tex]

Divide both sides by 2

[tex]\frac{2X}{2} = \frac{120}{2}[/tex]

[tex]X = 60[/tex]

Substitute 60 for X in the second equation

[tex]Y = X + 4[/tex] becomes

[tex]Y = 60 +4[/tex]

[tex]Y = 64[/tex]

To get their ages when they got married; we simply subtract 37 from their current ages

Xavier's age = 60 - 37

Xavier's age = 23

Yifei's age = 64 - 37

Yifei's age = 27

Answer:

18 feet

Step-by-step explanation:

Equilateral triangles have 3 equal sides.

If one side is 6 feet, the other two are also 6 feet.

Perimeter is all the sides added.

6 + 6 + 6

= 18

Hey there! :)

Answer:

x = -1.

Step-by-step explanation:

[tex]\frac{1}{x-4}+ \frac{x}{x-2}= \frac{2}{x^{2}-6x+8 }[/tex]

Make each fraction have a common denominator:

[tex]\frac{1(x-2)}{x^{2}-6x+8}+ \frac{x(x-4)}{x^{2}-6x+8}= \frac{2}{x^{2}-6x+8 }[/tex]

Simplify:

[tex]\frac{x-2}{x^{2}-6x+8}+ \frac{x^{2}-4x }{x^{2}-6x+8}= \frac{2}{x^{2}-6x+8 }[/tex]

Disregard the denominator and solve the numerators:

x - 2 + x² - 4x = 2

Combine like terms:

x² - 3x - 2 = 2

x² - 3x - 4 = 0

Factor:

(x - 4)(x + 1)

***Only one of these solutions works because if x = 4, the denominator of the first fraction would be 0, which is undefined. Therefore, the only possible solution is x = -1.

Answer:

f(t) = 100,000 ⋅ 0.012 t

Step-by-step explanation:

Answer:

P = 5.3x = 206,700

Step-by-step explanation:

P = population

P = 5.3x, where x is the square miles

p = 5.3(39000) = 206,700

Answer:

8 cm

Step-by-step explanation:

divide 400 by 50 which is 8.

Answer:

44

Step-by-step explanation:

11×4

hope it helped!

[tex]\text{We need to find how much the store will sell a GPS navigation system}\\\\\text{We know that the store paid \$56 for it}\\\\\text{We also know that they will mark up the price by 25\%}\\\\\text{We can find 25\% of 56}\\\\56\cdot0.25=14\\\\\text{We can now add that to the original price to get the price the store}\\\text{will sell it for}\\\\56+14=70\\\\\boxed{\$70}[/tex]

Answer:

[tex]d \approx 2.2[/tex]

Step-by-step explanation:

It is the same process as in previous problems.

Once the origin is the point (0, 0):

[tex]d=\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}[/tex]

[tex]d=\sqrt{(2-0)^2 + (-1-0)^2}[/tex]

[tex]d=\sqrt{2^2 + (-1)^2}[/tex]

[tex]d=\sqrt{5}[/tex]

[tex]d \approx 2.2[/tex]

Answer:

2.2

Step-by-step explanation:

The distance formula

[tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] with

[tex]x_1=0\\y_1=0\\x_2=2\\y_2=-1[/tex]

[tex]\sqrt{(0-2)^2+(0-(-1))^2}=\sqrt{2^2+1^2}=\sqrt{5}[/tex]

[tex]\sqrt{5} =2.2360...=2.2[/tex]

Answer:

The range in shelter A is 22, and the range in shelter B is 18.

Step-by-step explanation:

Okay so basically, the range is the difference between the smallest number and the greatest number.

The smallest weight for shelter a is 8. The largest weight is 30.

30-8= 22.

Same thing for the other shelter. The smallest weight is 10, and the largest weight is 28. 28-10= 18.

Answer:

D; The range in shelter A is 22, and the range in shelter B is 18.

Step-by-step explanation:

edg2020

Shelter A: 30-8= 22

Shleter B: 28-10= 18

The range is max minus min. Therefore D is correct. Pretty simply stuff yall

Answer:

[tex] {1000}^{m} \div {100}^{n} \\ \\ {10}^{3m} \div {10}^{2n} [/tex]

Since they have the same base and are dividing we subtract the exponents

That's

[tex] {10}^{3m - 2n} [/tex]

So

Hope this helps you

Answer:

[tex]\boxed{ z = 3m-2n}[/tex]

Step-by-step explanation:

=> [tex]1000^m / 100^n[/tex]

=> [tex](10)^{3m} / (10)^{2n}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> [tex]10 ^{3m-2n}[/tex]

Comparing it with [tex]10^z[/tex], we get

=> z = 3m-2n

Answer:

given,

selling price (sp)=rs 5 ×30

=rs 150

now, gain %=20%

cost price (cp)=

[tex] \frac{sp \times 100}{100 + gain\%} [/tex]

[tex] = \frac{150 \times 100}{100 + 20} [/tex]

therefore cp= rs125

now,

again in 2nd case

sp= rs 27×5

therefore sp=rs 135

and cp= rs125

now, sp>cp so,

[tex]gain\% = \frac{sp - cp}{cp} \times 100\%[/tex]

or, gain=

[tex] = \frac{135 - 125}{125} \times 100\%[/tex]

therefore gain %= 8%.... is answer

hope it helps..

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = Number of hits made by a baseball player

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......[/tex]

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  [tex]\binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}[/tex]

                        =  [tex]21 \times 0.25^{2} \times 0.75^{5}[/tex]

                        =  0.3115

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~`

26.45 + 4.79 + 120.02 - 3.20 =

148.06

Step-by-step explanation:  Simplify the expression.

Hope this helped you. Brainliet would be nice!

Answer:

Step-by-step explanation:

BODMAS

Align the decimals properly

26.45 + 4.79 + 120.02 = 150.26

26.45

+ 4.79

120.02

______

151.26

______

151.26 - 3.20 = 148.06

Answer:

34.56%

Approximately 35%

Step-by-step explanation:

Total number of marbles present= 10 red+ 15 yellow+5 green+20 blue

Total= 50 marbles

Probability of picking a blue ball = 20/50

Probability of a blue = 0.4= p

Probability of no blue = 1-0.4 = 0.6= q

If five balls are selected, probability of

exactly 2 to be blue is

Probability= 5C2(0.4)²(0.6)³

probability= 5!/(2!3!)(0.4)²(0.6)³

probability= 10*0.16*0.216

Probability= 0.3456

Then to percentage

0.3456 to percentage= 0.3456*100

0.3456 to percentage= 34.56%

Approximately 35%

Answer:

C: 36%

Step-by-step explanation:

Correct on Edge

Answer:

  B. ∠2 and ∠3 are complementary

Step-by-step explanation:

The substitution property of equality lets you put ∠2 in place of ∠1 in the statement ...

  ∠1 and ∠3 are complementary.

  ∠2 and ∠3 are complementary . . . . using ∠2 for equal ∠1 in the above

Answer: ∠2 and ∠3 are complementary

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

3 3/4 = 3.75

9/3.75 = 2.4

Answer:

65

Step-by-step explanation:

45, 50, 52, 58, 62, 68, 72, 78, 81, 95

62 + 68 = 130/2 = 65

The median is 65

Answer:

The median of the data is 65

Step-by-step explanation:

I did it on edge and got it right