solve for k. 6 = -3(k - 10)

Answer:

-2.00

Step-by-step explanation:

Applying,

Z = (x-μ)/σ.................. Equation 1

Where Z =  Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.

From the question,

Given: x = 48, μ = 70, σ = 11

Substitute these values into equation 1

Z = (48-70)/11

Z = -22/11

Z = -2.00

Hence Michelle's z-score is -2.00

Answer:

[tex]\%Absent = 80.20\%[/tex]

Step-by-step explanation:

Given

The attached data

Required

%Absentee on Friday

First, calculate the total present

[tex]Present = 42 + 36 + 40 + 36 + 38[/tex]

[tex]Present = 192[/tex]

Calculate the %Present on Friday

[tex]\%Present = \frac{Friday}{Present} * 100\%[/tex]

[tex]\%Present = \frac{38}{192} * 100\%[/tex]

[tex]\%Present = \frac{3800}{192}\%[/tex]

[tex]\%Present = 19.80\%[/tex]

Using complement rule:

[tex]\%Absent = 100\% - \%Present[/tex]

[tex]\%Absent = 100\% - 19.80\%[/tex]

[tex]\%Absent = 80.20\%[/tex]

Answer:

six equal to eight?????

Answer:

10.92

Step-by-step explanation:

136.5*(8/100)that is tax

Answer:10.92

Step-by-step explanation:

9514 1404 393

Answer:

  C.  ΔABE≅ΔDBC by SAS

Step-by-step explanation:

Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)

Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.

The only correct claim is that of C: ΔABE≅ΔDBC by SAS

Answer:

77 boys, 65 girls

Step-by-step explanation:

x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:

x + x + 12 = 142

2x + 12 = 142

x = 65

65 girls

then 65+ 12 = 77 boys

Answer:

radius r = 47/π in

length l = 23.5 in

Step-by-step explanation:

Let us recall that:

Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)

The girth g = [tex]2 \pi r + h[/tex]      ----- (2)

Given that:

height (h) + girth (g) = 141

Then g = 141 - h   ----- (3)

Equating equation (2) and (3), we have:

141 - h = 2πr + h

2h = 141 - 2πr

h = 70.5 - πr      ------ (4)

From, here now, we can now replace the value of h into equation (1)

i.e.

V = πr²(70.5 - πr)

V = 70.5πr² -  π²r³

Taking the differential of the above equation with respect to r, we have:

[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]

By further differentiation:

[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]

Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:

141πr - 3π²r² = 0

141πr = 3π²r²

Divide both sides by πr

141 = 3πr

r = 141/3π

r = 47/π in

Replacing the value of r = 47/π into equation (4), we have:

h = 70.5 - πr

h = 70.5 - π(47/π)

h = 70.5 - 47

h = 23.5 in

From equation (3);

h + g = 141

23.5 + g = 141

g = 141 - 23.5

g = 117.5 in

Volume = πr²h

V = π × (47/π )² × 23.5

V = 16523.94 in³

Answer:

11.2 cm

Step-by-step explanation:

62.72 / 5.6 = 11.2

Answer:

7y²x³

Step-by-step explanation:

when taking an exponent to an exponent multiply them

(7y²x³)² = 49y⁴x⁶

Answer:

n = [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

You obviously have to solve for n

Answer:

The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.

Answer:

1 / 11

Step-by-step explanation:

there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.

Hope this helps ( :

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

Answer:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

Step-by-step explanation:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

The x-coordinate of the vertex is -b/(2a)

Answer:

Candice

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Inscribed Angle =  1/2 Intercepted Arc

<A = 1/2 (80)

<A = 40

Answer:

B. 745 miles

Step-by-step explanation:

Given that

Kim took 3000 miles trip in 4 days

And,

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

We need to find out that how much she travel in the 4th day

So, it is

= 3000 miles - 850 miles - 745 miles - 660 miles

= 745 miles

Hence, the option b is correct

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Diego has 3 times as many, so you would multiply the amount Han had by 3.

Han has 6, so Diego has 6 x 3 = 18 comic books

A. 18 comic books.

To find the number Han has using what Diego has you would divide Diego’s number by 3:

27/3 = 9

Han has 9 comic books

B. 9 comic books

Answer:

C/5

Step-by-step explanation:

This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.

Answer:

Option A

Step-by-step explanation:

A probability distribution of a statistic that represents a large sample derived from a certain specific population size to  determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a  sampling distribution

Hence, option A is correct

Solution :

It is given that force on the object is directly proportional to acceleration.

So, F = ka

Here, k is any constant value.

Putting, F = 27 N and a = 3 m/s² in above equation, we get :

3k = 27

k = 9 N s² m⁻¹

Putting, k in above equation, we get :

F = 9a

Now, putting F = 18 N, we get :

a = 18/9 m/s²

a = 2 m/s²

Hence, this is the required solution.

Answer:

7m

Step-by-step explanation:

18/6 = 3

24/8 = 3

21/x = 3

21/3 = 7

x = 7

The degree for 7pi/4 is : 315°

Answer:

#2. 6x3.14=1080 which is more than 18

Step-by-step explanation:

5+5-3= 7

!!!!!!!!!!!!!!!!!

Answer:

answer is 7 please give a brainliest please

Step-by-step explanation:

Answer:

256. fffddddddssddddd

Answer:

12.56

Step-by-step explanation:

First of all, pi = 3.14

Diameter=4

Radius=2

3.14×[tex]2^{2}[/tex]

So,

3.14 × 4 =

12.56

Hope this helps!! (Hope I did this in time!!)