what is z
10.42= −2.6z+0.8

Answer:

Of your choices, 87.5

Step-by-step explanation:

There may be a formula for figuring this out, but here's what I know how to do to solve this:

First we'll organize the data in ascending order:

3.9, 4.5, 5.7, 6.2, 7.4, 8.1, 8.4, 9.2  

The median is (6.2 + 7.4)/2 = 6.8

The first quartile is (4.5 + 5.7)/2 = 5.1

The third quartile is (8.1 + 8.4)/2 = 8.25

So the 75th percentile is 8.25

Since 9.2 is higher than that, I'd choose 87.5

Mildred's pie scored at the 87.5 percentile.

'A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.'

According to the given problem,

Organizing the data in ascending order:

3.9 < 4.5 < 5.7 < 6.2 < 7.4 < 8.1 < 8.4 < 9.2  

Median of the given data = [tex]\frac{6.2+7.4}{2}[/tex]

                                            = 6.8

First quartile = (4.5 + 5.7)/2

                      = 5.1

Third quartile = (8.1 + 8.4)/2

                       = 8.25

The third quartile is the 75th percentile,

⇒ 75th percentile = 8.25

Since, 9.2 > 8.25 , Mildred's pie scored at 87.5 percentile.

Hence, we can conclude, Mildred's pie scored at the 87.5 percentile.

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Answer:

x + 3

5

Explanation:

x+3 is the equation for the first line to the left, and f(x)=5 is the second equation for the second line at the top.

Answer:

C

Step-by-step explanation:

U fisrt find the y intercept where x=0 and deferentiate to find gradient

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

[tex]P(x)=a(x-2)(x-6)[/tex]                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

[tex]8=a(4-2)(4-6)[/tex]

[tex]8=a(2)(-2)[/tex]

[tex]8=-4a[/tex]

Divide both sides by -4.

[tex]\dfrac{8}{-4}=a[/tex]

[tex]-2=a[/tex]

Putting [tex]a=-2[/tex] in (i), we get

[tex]P(x)=-2(x-2)(x-6)[/tex]

[tex]P(x)=-2(x^2-6x-2x+12)[/tex]

[tex]P(x)=-2(x^2-8x+12)[/tex]

[tex]P(x)=-2x^2+16x-24[/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

Answer:

4.25 meters

Step-by-step explanation:

425/100 = 4.25

or move the decimal to the left 2 places. One place for each zero in 100.

Answer:

24

Step-by-step explanation:

[4 / 5 ] * 30 = 24

Answer:

24

Step-by-step explanation:

To get the answer you have to multiply the 4/5 x 30 to get the answer

First one is B (43) and the second one is C (35)!

Answer:

Let x be the price of a raffle ticket

(x+2)*223 = 1115

x=3

Step-by-step explanation:

Let x be the price of a raffle ticket

The amount they get is now x+2 since the admin is donating 2 dollars per ticket

The sold 223 tickets

(x+2) *223 = amount raised

(x+2)*223 = 1115

Divide each side by 223

x+2 = 1115/223

x+2 = 5

Subtract 2 from each side

x+2-2 =5-2

x=3

[tex] \quad \quad \quad \quad \tt{(x + 2) 223 = 1,115}[/tex]

[tex]\quad \quad \quad \quad \tt{ \huge x + 2 = \frac{1,115}{223} }[/tex]

[tex]\quad \quad \quad \quad \huge\tt{ x + 2 = 5 }[/tex]

[tex]\quad \quad \quad \quad \huge\tt{ x = 5 - 2}[/tex]

[tex]\quad \quad \quad \quad\huge \tt{ x = 3 }[/tex]

[tex]\quad \quad \quad \quad \boxed{ \huge \tt{ \color{green} x = 3 }}[/tex]

_________

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Answer:

30058.49

Step-by-step explanation:

b/c when u multiply it in hundredth u can get your answer

============================================================

Explanation:

Use the slope formula to find the slope of the given line through those two points (-3, 4) and (5, 1)

m = (y2-y1)/(x2-x1)

m = (1 - 4)/(5 - (-3) )

m = (1-4)/(5+3)

m = -3/8

The line shown has a slope of -3/8

----------

We do two things from here:

That will have -3/8 turn into +8/3 or simply 8/3 which is the perpendicular slope. That's why the answer is choice A.

Multiplying the original slope -3/8 with the perpendicular slope 8/3 will lead to -1. This is true of any perpendicular pair of lines, as long as neither line is vertical.

Answer:

(x-7)²+y²=9

Step-by-step explanation:

There is a formula used for the equation of a circle:

(x-h)²+(y-k)² = r²

(h, k) is the center of the circle

r is the radius

In this case, (h, k) is (7, 0)

Plug in the values for h and k

∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

You don't need to add the denominators just add the numerators

7/12

Denomenater is same so u can just add it

thank you

Answer:

(x−1)(x−2)

Step-by-step explanation:

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

Answer:

3 meters

Step-by-step explanation:

Assuming the window is rectangular

A = l*h

18 = 6*h

Divide each side by 6

18/6 = 6h/6

3 = h

Answer:

the height of the mountain is 7.35 m

Step-by-step explanation:

Given;

final velocity of the man, v = 12 m/s

initial velocity of the man, u = 0

The height of the mountain is calculated as;

v² = u² + 2gh

v² = 0 + 2gh

v² = 2gh

h = v²/2g

h = (12)² / (2 x 9.8)

h = 7.35 m

Therefore, the height of the mountain is 7.35 m

Answer:

SAS

Step-by-step explanation:

pretty sure since the angle z is connected to both right triangles the sides become congruent.

Answer:

4/15xy

step-by-step explanation:

2(1/3x) (2/5y)

= 2/3x × (2/5)y

= 2×2

xy

3×5

= 4/15xy

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

4/15xy

Step-by-step explanation:

2(1/3x) (2/5y)

= 2/3x × (2/5)y

= 2×2

xy

3×5

= 4/15xy

Answer:

110,050

Step-by-step explanation:

You have a rectangle at the top with a w of 310 and a l of 210 = 65,100

The triangle has a height of 290 and a base of 310 = 44,950

Answer:

The probability of number of success = C (n,k)p^kq^(n-k)

Step-by-step explanation:

This is the case of Bernoulli's experiment in which there are n independent trials with X number of success

The probability of number of success = C (n,k)p^kq^(n-k)

Where k = 0,1,2,3...n

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

The aspect ratio of a computer screen will be 4: 3.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The computer screen measures 12 inches by 16 inches.

Then the aspect ratio will be given by the number 16 inches divided by 12 inches.

We know that the aspect ratio will be greater than 1. Then the aspect ratio will be

Aspect ratio = 16 / 9

Aspect ratio = 4/3

Aspect ratio = 4: 3

The aspect ratio of a computer screen will be 4: 3.

More about the ratio and the proportion link is given below.

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Answer:

A plain pizza is $10.50 and a pepperoni pizza is $12.50

Step-by-step explanation:

Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:

3x + 2y = 58.5

2x + 4y = 67

Solve by elimination by multiplying the top equation by -2:

-6x - 4y = -117

2x + 4y = 67

Add these together and solve for x:

-4x = -50

x = 12.5

So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:

2x + 4y = 67

2(12.5) + 4y = 67

25 + 4y = 67

4y = 42

y = 10.5

So, a plain pizza is $10.50.

A plain pizza is $10.50 and a pepperoni pizza is $12.50

Answer:

Step-by-step explanation:

volume of rectangular prism = length * breadth * height

=6m * 5.5m * 4.5m

=148.5 m^3

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

Answer:

ans is g=x^3+1

x=(-2-1,0,1,2,3)

again put the value of x

therefore g(x)=(-7,0,1,2,9,28)

Answer:

8r6s3 – 13r5s4 + r4s5 – 5r3s6 it is D

Step-by-step explanation:

The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

Now, We can find the difference as;

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

⇒ (8r⁶s³ – 9r⁵s⁴ – 4r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ – 5r³s⁶

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Thus, The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

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Answer:

y = -1x + 7

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 0 / -2 - 7

9 / -9

= -1

y = -1x + b

0 = -1(7) + b

0 = -7 + b

7 = b