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2 years ago

Ema had 2/8 of a cookie, she wanted to share the rest of it equally with her friend; how many pieces will each friend get?

Mathematics

1 answer:

Nostrana [21]2 years ago

7 0

Answer:0.125 or 1/8

Step-by-step explanation:

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Help!!!!!!!!!!!!!!!!!!!!!!!!!

pav-90 [236]

Measure of Angle 2 = 100 degrees
measure of Angle 6 = 100 degrees

Since angle 2 and angle 6 are both 100 degrees, this makes them congruent angles. They are also corresponding angles as well.

The fact we have corresponding angles that are congruent leads to AB being parallel to CD. This is using the Converse of Corresponding Angles Theorem.

5 0

2 years ago

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det

Maru [420]

Answer:

0.077994

Step-by-step explanation:

Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

$H_0: Mean = 30\\H_a: Mean >30$

(Right tailed test)

Sample size = $n=250$

Sample mean = 30.45

Mean difference = $30.45-30=0.45\\$

Sample std dev s = 5

Sample std error = $\frac{5}{\sqrt{n} } =\frac{5}{\sqrt{250} } \\=0.3163$

Test statistic = Mean diff/std error = $=\frac{0.45}{0.3163} =1.423$

Since population std deviation is not know we use t test

p value = $0.077994$

4 0

3 years ago

Use the arithmetic progression formula to find the sum of integers from 75 to 100.75,76,77....99,100.

Sophie [7]

Answer:

The sum is 2275

Step-by-step explanation:

Given

$75,76,77....99,100$

Required

The sum

Using arithmetic progression, we have:

$S_n = \frac{n}{2}(T_1 + T_n)$

Where:

$T_1 = 75$ --- first term

$T_n = 100$ --- last term

$n = T_n - T_1 + 1$

$n = 100 - 75 + 1 = 26$

So, we have:

$S_n = \frac{n}{2}(T_1 + T_n)$

$S_n = \frac{26}{2}*(75 + 100)$

$S_n = 13*175$

$S_n = 2275$

5 0

2 years ago

Write the equation of a line that is perpendicular to y = 5 and that passes through the point (-7,-5).

Alik [6]

Answer: x = -7

Step-by-step explanation:

x = -7 will be a vertical line passing through all y values, and perpendicular to y = 5

The attached graph shows the lines and the point.

7 0

3 years ago

A population of flies grows according to the function p(x)=6(3)^x, where x is measured in weeks. A local spider has set up shop

Doss [256]

The final population of the flies is equal to the growth rate minus the number of flies consumed by the spiders. That is,
final population = 6(3^x) - (4x + 1)
Substituting 2 to the x of the equation above,
final population = 6(3²) - (4(2) + 1) = 45
Thus, the final population of the flies would be 45.

7 0

2 years ago