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4 years ago

Dani uses the table to help her convert measurements when she is sewing

1 answer:

6 0

You need to post all of the question. what unit was she given? use the table to find the conversion factor then set up the ratio to do the conversion to the new unit.

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The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this g

Alisiya [41]

Answer/Step-by-step explanation:

a. Using two points on the line (0, 2) and (4, 12), find the gradient:

Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5

Gradient = 2.5

b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.

i.e. 2.5 litres per second

c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.

4 0

3 years ago

Equation A y = 4/x + 3 Equation B y = −2x − 4 Which statement best compares the graphs of the two equations?

vampirchik [111]

Elimination
A, they are both linear
linear equations are sometimes given by y=mx+b, equation A, if graphed, produces a hyperbola which is not linear so statement A is false

B they areboth non-linear
equationb is linear so this is false

C equation a is non-linear and equation b is linear
true
C is the answer

4 0

3 years ago

Read 2 more answers

Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 1

Yuri [45]

Answer:

90% confidence interval for the population mean test score is [95.40 , 106.59]

Step-by-step explanation:

We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.

Also, a random sample of 25 students take the exam. The mean score for this group is 101.

The, pivotal quantity for 90% confidence interval for the population mean test score is given by;

P.Q. = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, X bar = sample mean = 101

$\sigma$ = population standard deviation

n = sample size = 25

So, 90% confidence interval for the population mean test score, $\mu$ is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90

P(-1.6449 < $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.6449) = 0.90

P(-1.6449 * $\frac{\sigma}{\sqrt{n} }$ < ${Xbar-\mu}$ < 1.6449 * $\frac{\sigma}{\sqrt{n} }$ ) = 0.90

P(X bar - 1.6449 * $\frac{\sigma}{\sqrt{n} }$ < $\mu$ < X bar + 1.6449 * $\frac{\sigma}{\sqrt{n} }$ ) = 0.90

90% confidence interval for $\mu$ = [ X bar - 1.6449 * $\frac{\sigma}{\sqrt{n} }$ , X bar + 1.6449 * $\frac{\sigma}{\sqrt{n} }$ ]

= [ 101 - 1.6449 * $\frac{17}{\sqrt{25} }$ , 10 + 1.6449 * $\frac{17}{\sqrt{25} }$ ]

= [95.40 , 106.59]

Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .

7 0

4 years ago

Corresponding points of (-1, 1/2)

Musya8 [376]

Answer:

(-2,0), (-1,1), (0,2)

Step-by-step explanation:

3 0

3 years ago

if each exterior angle on a regular polygon has a measure of 12 degrees how many sides will the polygon have

DedPeter [7]

Answer:

It will have 30 sides

8 0

3 years ago