Create a set of data with 7 values that has a mean of 30, a median of 26, a range of 50, and an interquartile range of 36.

Answer:

Slope, m = 5

Step-by-step explanation:

Picking points on the x-axis and y-axis of the graph;

Point on x-axis (x1, x2) = 2, 4

Points on the y-axis (y1, y2) = 10, 20

To find the slope;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {20 - 10}{4 - 2} [/tex]

[tex] Slope, m = \frac {10}{2} [/tex]

Slope, m = 5

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

Answer:

million

Step-by-step explanation:

Answer:

28.3 grams

Step-by-step explanation:

One ounce is 28.3 grams.

Answer: I think it is false...

26 balls

Step-by-step explanation:

have to at least take 11 red, 10 green 5 yellow so have 12 balls in bag

Answer:

-3p^2 - 11p + 22

Step-by-step explanation:

A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).

Perform the indicated multiplication, obtaining:

                            (-2p + 7) - 3p^2 - 9p + 15, and then:

                              -2p + 7 - 3p^2 - 9p + 15, or (combining like terms):

                                 -3p^2 - 11p + 22

Answer:

x = 0, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

8x² - 12x = 0 ← factor out 4x from each term

4x(2x - 3) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

(p, q) is (2, 5)

Step-by-step explanation:

Given the expression

x^2  + 3x - 10

Factorize;

x^2 + 5x - 2x - 10

x(x+5) - 2(x+5)

(x-2)(x+5)

Comparing with (x + p)(x + 9).

x+2 = x+ p

x-x+2 = p

2 = p

p = 2

Similarly;

x+5 = x+q

x-x+5 = q

5 = q

q=  5

Hence (p, q) is (2, 5)

Answer:

Step-by-step explanation:

The vertex is a point. The x value is defined as x = - b / 2a where

a = -3

b = - 12

x = - -12/ 2* -3

x = 12 / - 6

x = -2

what is y when x = - 2?

y = -3(-2)^2 - 12(-2) - 13

y = -12 + 24 - 13

y  = -1

Does the graph agree? It should

The equation is written as

y = -3(x + 2)^2 - 1

Answer:

3024

Step-by-step explanation:

l * w * h

18 in. * 12 in. * 14 in.

there are 12 inches in 1 foot.

Answer:

The mean percentage of hourly employees being laid off at these stores is 52.

The median percentage of hourly employees being laid off at these stores is 55.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

So

[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]

The mean percentage of hourly employees being laid off at these stores is 52.

Median:

Value that separate the lower 50% from the upper 50% in the sorted set.

The sorted set is

36 38 43 44 44 45 50 55

The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.

The median percentage of hourly employees being laid off at these stores is 55.

Answer:

Null hypothesis :

Grades have not improved for a majority of students

Alternative hypothesis :

Grades have improved for a majority of students

Step-by-step explanation:

The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;

H0 : p = 0.5

This means that the performance of students is at a centre point where it could swing either way (decline or improve).

To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.

H1 : p > 0.5

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Answer:

d = 3

Step-by-step explanation:

The common difference d is the difference between consecutive terms, that is

d = 1 - (- 2) = 4 - 1 = 3

Answer:

Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle

Step-by-step explanation:

Dot at 0 bc 0 is only number in equation

Open circle because there is no "or equal to", so it doesn't include zero

pointing right because right is greater than

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

This question is incomplete, the complete question is;

According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)

a) All 14 will return?

b) How many customers would be expected to return to the store ?

Answer:

a) the probability that All 14 will return is 0.0122

b) The number of customers that would be expected to return to the store is 13.27

Step-by-step explanation:

Given the data in the question;

p = 73% = 0.73

sample size n = 14

a)  the probability that All 14 will return;

P( x = 14 ) = ⁿCₓ × Pˣ × [tex]( 1 - P)^{n-x[/tex]

we substitute

P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × [tex]( 1 - 0.73)^{(14-14)[/tex]

P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] ×  (0.73)¹⁴ × [tex]( 0.27)^{0[/tex]

P( x = 14 ) = 1 × 0.0122045 × [tex]( 0.27)^{0[/tex]

P( x = 14 ) = 1 × 0.0122045 × 1

P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }

Therefore, the probability that All 14 will return is 0.0122

b) Expected Customers;

E(x) = n × p

we substitute

E(x) = 14 × 0.73

E(x) =  13.27  { 2 decimal place }

Therefore, The number of customers that would be expected to return to the store is 13.27

Solve the equation for  

n

by finding  

a

,  

b

, and  

c

of the quadratic then applying the quadratic formula.

Exact Form:

n

=

−

2

±

2

√

37

9

Decimal Form:

n

=

1.12950278

…

,

−

1.57394722

…

Answer:

1year?hehehehehehehehehe

Answer:

96

Step-by-step explanation:

area is B*H*L

6*8*2 = Area

96 = Area

Answer:

4

Step-by-step explanation:

The number of kids who like vanilla is 13 the number of kids who like strawberry is 9

13-9=4

hope this helps!!

Answer:

C

Step-by-step explanation:

Answer:

There is no picture but I think b

Step-by-step explanation:

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Step-by-step explanation:

In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex].

The circle in this question is centered at [tex](6,\, 2)[/tex].  

The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].

Hence, the standard equation for this circle would be:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Answer:

134+144

Step-by-step explanation:

just take the answer (278)- the number they give you

278-

134

144

Answer:

Solution given:

x+134=278

subtracting 134 each term

x+134-134=278-134

x=144