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luda_lava [24]
2 years ago
11

Median math question 60 POINTS+BRAINLIEST

Mathematics
2 answers:
Elena L [17]2 years ago
7 0

Answer:

75

Step-by-step explanation:

70, 72, 77, 80, 81: median is 77

x+77/2=76

x=75

Please mark as Brainliest! :)

Have a nice day.

Anarel [89]2 years ago
6 0

Answer:

75

Step-by-step explanation:

Line up the numbers in order from smallest to largest

70 72 77 80 81

We have an unknown number

The median is 76

The median is the middle number

We know it has to be smaller than 77

Put it as the 3rd number since the median is 76

70 72    x  77     80 81

since there is an even number of points the median is the average of the middle numbers

x+ 77 divided by 2 = 76

x+77 = 76*2

x+77 = 152

x = 152 - 77

x =75

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A coin is flipped twice. What is the probability that the coin will land on tails on the first flip and will land on tails again
bixtya [17]

Answer:

1/4=0.25=25%

Step-by-step explanation:

A coin has two sides, heads and tails, and if you take 100% divided by two you get 50, you want to know what is the probability it will land on tails TWICE so divide 50 by two and you get 25.

1/2=50

1/4=25

0.25 x 100= 25%

hope that helps

5 0
2 years ago
Read 2 more answers
an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior ci
Ierofanga [76]

Answer:

75

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Here is a list of questions. For each question, decide if the responses will produce numerical data or categorical data and give
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Numerical data are majorly in digit form (i.e numbers), while a categorical data deals with grouped data. Thus some probable answers to the questions are:

1. Categorical data.

ii. Possible responses could be: English breakfast or Continental breakfast.

2. Categorical data.

ii. Possible responses could be: either by road or by air transportation

3. Numerical data.

ii. Possible responses could be: 6 or 10

4. Categorical data.

ii. Possible responses could be: snacks or soft drink

5. Numerical data.

ii. Possible responses could be: 20 minutes or 30 minutes

7 0
2 years ago
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3 The The curve y=ax² +bac + 5 where a and b are constants has a turning point p (1,3). find the values of a and b and determine
yulyashka [42]

Answer:

a = 2, b = -2

P is at a minimum

Step-by-step explanation:

For any polynomial function, the turning point is either a maximum or a minimum

It can be determined by taking the first derivative of the function and setting it equal to 0 and solving for x and y

In this case we are given the turning point as x=1, y = 3 and we have to calculate a and b in the equation y = ax² + (ab)x + 5

The first derivative of y, y' = 2ax + ab

If we set this equal to 0 we get 2ax + ab = 0 ==> 2ax = -ab ==> b = -2

So the equation is of the form y = ax² -2ax + 5  (subbing for b)

Since we know that at x = 1, y =3 substitute y and x values in the above equation and solve for a

y = 3 = a(1²) - 2a(1) + 5

a - 2a + 5 = 3

-a + 5 = 3

a = 2

So the equation is of the form y = 2x² -4x + 5

If we plot this we will find that P is a minimum point

However, we can always determine mathematically if P is a max or min by taking the second derivative of the original function and noting the sign.  If it is positive, the point is a minimum, and if it is negative, the point is a maximum.

Taking derivatives,

y' = 4x  - 4

y'' = (4x-4)' = 4

The sign is positive so P is a minimum

Graph attached for reference

3 0
1 year ago
A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too
k0ka [10]

Answer:

There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)

Step-by-step explanation:

\bar{X} = 2072\\\mu = 2058\\sample size, n = 6\\\alpha = 0.01\\Standard deviation, s = 27

The null hypothesis, H_o: \mu = 2058

Alternative hypothesis, H_{a}: \mu > 2058

Test statistic is calculated as follows:

Z_{test} = \frac{\bar{X} - \mu}{s/\sqrt{n} } \\Z_{test} = \frac{2072 - 2058}{27/\sqrt{6} } \\Z_{test} =1.27

Find the P-value

P(z > 1.27) = 1 - P(z < 1.27)

P(z > 1.27) = 1 - 0.898

P(z > 1.27) = 0.102

Significance level, α = 0.01

Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.

8 0
3 years ago
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