What is the value of z

[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:

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:

44

Step-by-step explanation:

11×4

hope it helped!

Answer:

8 cm

Step-by-step explanation:

divide 400 by 50 which is 8.

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

Vector A has components (5,6) and vector B has components (-12, 3). What is the direction of the vector C = 2A - B

Answer:

22.24° to the positive x-axis.

Given vectors:

A (5, 6)

B (-12, 3)

C = 2A - B             ------------(i)

First let's represent the two vectors in unit notation as follows;

A = 5 i + 6 j

B = -12 i + 3 j

Now substitute these vectors into equation (i) as follows;

C = 2(5 i + 6 j) - (-12 i + 3 j)

C = 2(5 i + 6 j) + (12 i - 3 j)

C = 10 i + 12 j + 12 i - 3 j                   [collect like terms]

C = 10 i + 12 i + 12 j - 3 j

C = 22 i + 9 j                         ----------------(ii)

The direction, θ, of vector C can be calculated as follows;

θ = tan⁻¹([tex]\frac{9}{22}[/tex])

θ = tan⁻¹(0.409)

θ = 22.24°

Since both the x and y components of vector C are positive, the direction of the vector is 22.24° to the positive x-axis.

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:

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:

f(t) = 100,000 ⋅ 0.012 t

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:

[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:

  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:

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:

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:

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:

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:

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:

The original number is 19

Step-by-step explanation:

Let the original number be x

The above expression is written as

3x - 17 = 40

3x = 40 + 17

3x = 57

Divide both sides by 3

3x / 3 = 57/3

x = 19

Hope this helps you.

Answer:

im not sure either the triple is time with three or power of three

if times three:

3x–17=40

19

if power of three:

x³–17=40

x=

[tex] \sqrt[3]{57} [/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: 25 units

Step-by-step explanation:

Simply do 40(UN)-15(CN) to get 25(UC)

Hope it helps <3

Answer:

Option D is the correct option

Solution,

Here,

UN = 40

CN = 15

Now,

UN = UC + CN

plugging the values,

40 = UC + 15

-UC = 15 - 40

-UC = -25

The difference sign (-) will be cancelled in both sides:

UC = 25

hope this helps...

Good luck on your assignment..

Answer: B & C

Step-by-step explanation:

Putting the values of x & y in all 4 equations we see that the values satisfy equations B & C only. Hence B & C are correct answers

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

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:

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:

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

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:

2.4

Step-by-step explanation:

3 3/4 = 3.75

9/3.75 = 2.4