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2 years ago

Which number sentence does the following number line represent

Mathematics

2 answers:

katovenus [111]2 years ago

8 0

I think it is the first one

QveST [7]2 years ago

3 0

Answer

Part 1: 3 + (-7) = -4

Part 2: Irrational numbers

Explanation

Part 1

A number line can be used to add and subtract integers. When adding positive numbers we move to the right and when adding negative numbers we move to the left.

When subtracting positive numbers we move to the left and when subtracting negative numbers we move to the right.

∴ From the number line shown above we are moving 7 steps to the left. this means we adding a (-7) to 3. This give the answer as (-4).

3 + (-7) = -4

Part 2

√7 = 2.645751311...

This number is not a whole number neither can it be written as a ratio. That is it can not be written in the form of a/b where b≠0. Such numbers are called irrational numbers.

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400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis tes

melomori [17]

Answer:

The sample proportion represents a statistically significant difference from 50%

Step-by-step explanation:

Null hypothesis: The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

Conclusion:

Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.

There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.

3 0

2 years ago

A hotel manager records the number of bookings made at various prices during July.What type of correlation does the graph show?

Usimov [2.4K]

Answer:

below

Step-by-step explanation:

if positive increases

if negative decreases

3 0

2 years ago

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile

nevsk [136]

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

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2 years ago

A scuba diver used the expression below to describe his position in relation to sea level.

Ipatiy [6.2K]

2 + (-20) + 8.....when sea level is 0.

starting on a platform 2 ft above sea level....so it is 2
dive down 20 ft....so this is below sea level...so it is -20
rise 8 ft...so it is 8

so ur answer is : 2nd answer choice

6 0

2 years ago

Read 2 more answers

The team first experiments with changing the position of the curved pit. In the computer program, the

Tju [1.3M]

Answer:

1). Shifted 2 units right.

2). Shifted 2 units left.

3). Shifted 2 units up.

4). Shifted 2 units down.

Step-by-step explanation:

Parent quadratic function is,

y = x²

1). When curved pit of the parent function is shifted 2 units right,

Translated function will be,

y = (x - 2)²

2). The curved pit is shifted 2 units left,

y = (x + 2)²

3). The curved pit is shifted 2 units up,

y = x² + 2

4). The curved pit is shifted 2 units down,

y = x² - 2

6 0

2 years ago