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Salsk061 [2.6K]

3 years ago

11

Triangle ABC is reflected across the y-axis and then translated down 1.5 units to form triangle A'B'C'. Determined if each state

ment below is true or false. Select True or False next to each statement

1 answer:

Helga [31]3 years ago

8 0

Answer:

They are all true.

Step-by-step explanation:

Rigid transformations, like reflections and translations, preserve angle measures and lengths.

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In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 21.1}{5.3}$

$Z = 0.55$

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0

2 years ago

In arithmetic sequence the first term is 5 and the common difference is 4. Determine the 6th term of sequence

Harlamova29_29 [7]

Answer:

The 6th term of the sequence is 25

Step-by-step explanation:

first term = a = 5

common difference = d = 4

The nth term of a sequence is

T_n = a + (n - 1)d

Therefore, the 6th term of the sequence is

T_6 = a + (6 - 1)d

T_6 = a + 5d

T_6 = 5 + 5(4)

T_6 = 5 + 20

T_6 = 25

3 0

3 years ago

1.) Find all the factors of 54.

jonny [76]

QUESTION 1.

The factors of 54 are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is $2\times 3^3$

QUESTION 3

All the factors of 60 are all positive integers that divide exactly into 60.

The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

QUESTION 4

The prime factors of 60 are factors of 60 that are prime numbers.

The prime factors of 60 are {2,3,5}

The prime factorization of 60 is $2^2\times 3\times 5$ .

QUESTION 5

The factors of 30 are {1,2,3,5,6,10,15,30}

The different ways she can put the beads into the boxes are

$1\times 30$ ,

All 30 beads into one box or 1 bead in 30 boxes.

$2\times 15$ ,

2 beads each into 15 boxes or 15 beads each into 2 boxes

$3\times 10$ ,

3 beads each into 10 boxes or 10 beads each into 3 boxes

$5\times 6$ ,

6 beads each into 5 boxes or 5 beads each into 6 boxes

5 0

3 years ago

What is the quotient of 1,854/18?

kramer

Answer:

103

Step-by-step explanation:

5 0

3 years ago

Quadrilateral jklm is a rhombus. the diagonals intersect at n. if the measure of angle jkl is 104°, find the measure of angle jk

Paul [167]

The diagram of rhombus JKLM is shown in the diagram below

A rhombus is a quadrilateral with four equal sides and its diagonals intersect perpendicular to each other (makes 90° angles). Opposite angles are equal (the same with a parallelogram). Each diagonal bisects the angle at J, K, L, and M equally

If angle JKL is 104°, the measurement of angle JKN is 104÷2=51°

5 0

3 years ago

Read 2 more answers