Is 1.2 less than or higher than 1.5

Please answer below :-)

katrin2010 [14]

Step-by-step explanation:

$\frac{2x - 1}{4} + \frac{x}{3} = 2$

find a common denominator of 12 for each fraction

$\frac{3}{3} \times \frac{(2x - 1)}{4} + \frac{4}{4} \times \frac{x}{3} = \frac{12}{12} \times \frac{2}{1}$

$\frac{6x - 3}{12} + \frac{4x}{12} = \frac{24}{12}$

$\frac{6x - 3 + 4x}{12} = \frac{24}{12}$

$\frac{10x - 3}{12} = \frac{24}{12}$

multiply both sides by 12

$12 \times \frac{10x - 3}{12} = \frac{24}{12} \times 12$

12s cancel out

$10x - 3 = 24$

add three to both sides

$10x - 3 + 3 = 24 + 3$

$10x = 27$

divide both sides by 10

$\frac{10x}{10} = \frac{27}{10}$

The tens on the left side cancel

$x = \frac{27}{10} = 2.7$

4 0

2 years ago

3. In determining food spending, it was found that the average meal in Albany is normally distributed, with a mean of $40 and a

Zarrin [17]

Answer:

a) P(X < 40) = 0.5

b) P(38 < X < 42) = 0.69143

c) P(X > 35) = 0.89435

d) P(X > 51) = 0.0029798

e) Find a meal cost which happen to be cheaper than 10% of the meals based on a given data. = $34.872

f) Find a meal cost which happen to be in the 5% of the most expensive based on a given data = $33.42

g) Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data. = $38.988

Step-by-step explanation:

Z score formula = Z score = x - μ/σ

Mean = $40

Standard deviation = $4

a) P(X < 40)

Z score = x - μ/σ

= 40 - 40/4

= 0

Determining the Probability value from Z-Table:

P(X < 40) = 0.5

b) P(38 < X < 42)

For X = 38

Z score = x - μ/σ

= 38 - 40/4

= -0.5

Determining the Probability value from Z-Table:

P(X = 38) = 0.30854

For X = 42

Z score = x - μ/σ

= 42 - 40/4

= 4

Determining the Probability value from Z-Table:

P(x = 42) = 0.99997

Hence, P(38 < X < 42)

P(X = 42) - P(X = 38)

0.99997 - 0.30854

= 0.69143

c) P(X > 35)

Z score = x - μ/σ

= 35 - 40/4

= -1.25

Determining the Probability value from Z-Table:

P( X < 35) = 0.10565

P( X > 35) = 1 - P(X < 35)

1 - 0.10565

= 0.89435

d) P(X > 51)

Z score = x - μ/σ

= 51 - 40/4

= 2.75

Determining the Probability value from Z-Table:

P( X < 51) = 0.99702

P(X > 51) = 1 - P(X < 51)

= 1 - 0.99702

= 0.0029798

e) Find a meal cost which happen to be cheaper than 10% of the meals based on a given data.

z score for 10th percentile = -1.282

Z score formula = Z score = x - μ/σ

Mean = $40

-1.282 = x - 40/4

-1.282 × 4 = x - 40

-5.128 + 40 = x

$34.872

The meal cost which happen to be cheaper than 10% of the meals based on a given data is $34.872

f) Find a meal cost which happen to be in the 5% of the most expensive based on a given data

Z score for 5th percentile = -1.645

Z score formula = Z score = x - μ/σ

Mean = $40

-1.645 = x - 40/4

-1.645 × 4 = x - 40

-6.58 + 40 = x

$33.42

The meal cost which happen to be in the 5% of the most expensive based on a given data is $33.42

g) Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data.

Z score for 40th percentile = -0.253

Z score formula = Z score = x - μ/σ

Mean = $40

-0.253 = x - 40/4

-0.253 × 4 = x - 40

-1.012 + 40 = x

$38.988

7 0

3 years ago

Which ordered pair does NOT lie on the graph of h(x)=-2x + 7

Rus_ich [418]

Answer:

A

Step-by-step explanation:

To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph

A

x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph

B

x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph

C

x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph

D

x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph

8 0

3 years ago

Read 2 more answers

Roots of Quadratics 50 PTS!!!

noname [10]

The values of k for the different quadratic equation solutions are as follows

a the equation 2x² - x + 3k = 0 has two distinct real roots

k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

$-b+\frac{\sqrt{b^{2}-4ac } }{2a}$ OR $-b-\frac{\sqrt{b^{2}-4ac } }{2a}$

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots -x² + 3x + (k + 1) = 0

b² - 4ac > 0

substituting the values gives

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get no real solutions 3kx² - 3x + 2 = 0

b² - 4ac < 0

substituting the values gives

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0

10 months ago

Read 2 more answers

List the important features for the graph of a quadratic function.

Kay [80]

Answer:

Vertex
Minimum Point
Maximum Point
Roots
Axis of Symmetry

Step-by-step explanation:

The bottom (or top) of the U is called the vertex, or the turning point. The vertex of a parabola opening upward is also called the minimum point. The vertex of a parabola opening downward is also called the maximum point.

The x-intercepts are called the roots, or the zeros. To find the x-intercepts, set ax^2 + bx + c = 0.

The parabola is symmetric (a mirror image) about a vertical line drawn through its vertex (turning point). This line is called the axis of symmetry.

If possible, please mark brainliest

7 0

3 years ago