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3 years ago

URGENT...

Mathematics

2 answers:

MatroZZZ [7]3 years ago

8 0

The center of the dilation is the origin, and the scale factor is 2.

To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.

Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.

So, the coordinates are:

X'(8, 0); Y'(6, 4); Z'(4, -4).

jek_recluse [69]3 years ago

4 0

Answer:

2, - 2 is the answer

Step-by-step explanation:

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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

WILL MARK BRAINLYEST IF YOU ANSWER ALL QUISTIONS

gogolik [260]

Rewrite the fractions as improper fractions:

1. −4 2/5 ÷ (−5)

= -22/5 ÷ −5/1

= -22/5 x -1/5

=22/25

2. −4 4/5÷4

= -24/5 ÷ 4/1

= -24/5 x 1/4

= -6/5

= -1 1/5

3. −2 1/8 ÷ 1 1/4

= -17/8 ÷ 5/4

= -17/8 x 4/5

= -68/40

= -17/10

=-1 7/10

4. −6 7/8 ÷ (−3 3/4)

= -55/8 ÷ -15/4

= -55/8 x -4/15

= 220/40

= 11/6

= 1 5/6

5. −8 3/4÷ 2 1/6

= -35/4 ÷ 13/6

= -35/4 x 6/13

= -210/52

= - 105/26

= -4 1/26

7 0

4 years ago

Carlotta subscribes to the HotBurn music service. She can download no more than 12 song files per week. Carlotta has already dow

UNO [17]

Answer:

Inequality: $x+10\leq 12$

Inequality solved: $x\leq 2$

The graph is attached.

Step-by-step explanation:

You need to remember the meaning of the inequalities symbols:

: Less than.

$>$ : Greater than.

$\leq$ : Less than or equal to.

$\geq$ : Greater than or equal to.

Let be "x" the number of more songs Carlotta can download.

According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol $\leq$ .

Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

$x+10\leq 12$

In order to solve it, you must subtract 10 from both sides:

$x+10-10\leq 12-10\\\\x\leq 2$