Distance measured in miles distance measured in yards 1 5

The ordered pairs in the table below represent a linear function. x y 6 2 9 8 What is the slope of the function?

sineoko [7]

Answer:

1/2 i think :)

Step-by-step explanation:

5 0

3 years ago

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What's 5x + 3x because I don't know what to do

Nataly_w [17]

Answer:

8x

Step-by-step explanation:

5x and 3x are like terms, so we can combine them.

$5x+3x=8x$

5 0

3 years ago

Students in a representative sample of 69 second-year students selected from a large university in England participated in a stu

Serhud [2]

Answer:

95% confidence interval estimate of μ, the mean procrastination scale for second-year students at this terval college is [39.34 , 42.66].

Step-by-step explanation:

We are given that for the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.89.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean procrastination score = 41

s = sample standard deviation = 6.89

n = sample of students = 69

$\mu$ = population mean estimate

Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.9973 < $t_6_8$ < 1.9973) = 0.95 {As the critical value of t at 68 degree

of freedom are -1.9973 & 1.9973 with P = 2.5%}

P(-1.9973 < $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ < 1.9973) = 0.95

P( $-1.9973 \times{\frac{s}{\sqrt{n} } }$ < ${\bar X -\mu}$ < $1.9973 \times{\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.9973 \times{\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.9973 \times{\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ =[ $\bar X-1.9973 \times{\frac{s}{\sqrt{n} } }$ , $\bar X+1.9973 \times{\frac{s}{\sqrt{n} } }$ ]

= [ $41-1.9973 \times{\frac{6.89}{\sqrt{69} } }$ , $41+1.9973 \times{\frac{6.89}{\sqrt{69} } }$ ]

= [39.34 , 42.66]

Therefore, 95% confidence interval estimate of μ, the mean procrastination scale for second-year students at this terval college is [39.34 , 42.66].

5 0

3 years ago

Draw out a two column proof for each problem below. Complete all problems on one page and upload ONE photo of the entire assignm

Hunter-Best [27]

Two or more triangles are congruent if on comparison, they have equal lengths of sides, and measure of angles.

Therefore, the required proofs for each question are shown below:

Problem 1:

Congruent triangles are triangles with equal lengths of corresponding sides and measures of internal angles.

Thus,

STATEMENT REASON

1. <NMQ ≅ <NPQ Any point on a perpendicular bisector

makes equal measure of angle with the

two ends of the line segment.

2. NQ ⊥ MP Definition of a line.

3. MQ ≅ PQ Equal segments of a bisected line.

4. MN ≅ PN Any point on a perpendicular bisector

is at the same distance to the

two ends of the line segment.

5. <MNQ ≅ <PNQ Equal measure of the bisected angle.

Problem 2:

A line segment is the shortest distance between two points.

STATEMENTS REASONS

1. m<PSR ≅ m<PSQ A perpendicular bisector is always at a right

angle to the bisected line segment.

2. m<RPS ≅ m<QPS Equal measure of the bisected angle.

3. RS ≅ QS Property of a bisected line segment.

4. PR ≅ PQ Any point on a perpendicular bisector

is at the same distance to the two ends of

the line segment.

For more clarifications on the perpendicular bisector of a line segment, visit: brainly.com/question/12475568

#SPJ1

3 0

2 years ago

For what value of c is the function one-to-one?

Mumz [18]

13................Answer:

Step-by-step explanation:

4 0

3 years ago

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