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lorasvet [3.4K]
2 years ago
6

Need help on this!! 10 points!!!

Mathematics
1 answer:
cricket20 [7]2 years ago
8 0

Answer:

The answer is B

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A bag contains a mixture of identical coloured balls.
Amiraneli [1.4K]

Answer:

72 yellow balls

Step-by-step explanation:

80% of 90 is (0.80*90) = 72 yellow balls.

5 0
2 years ago
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
Determine whether the triangles are congruent. Explain your reasoning .
MArishka [77]

Answer:

The triangles are congruent

Step-by-step explanation:

The Triangles are congruent because they have the same side lengths and and angle measures.

8 0
2 years ago
The two triangles shown below are simiar. Which statement is true of the transformation from ABC to A' B' C'
AfilCa [17]

Answer: Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Step-by-step explanation:

Since the triangles are similar, the ratio of their sides are equal.

And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,

Therefore,

AC = 16

A'C'= 8

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,

tanA = \frac{10}{4}

tanA'=\frac{5}{2}

which means tanA= tanA'

The angles do not change.

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

8 0
3 years ago
5x – 7y= 58<br> y = -x - 2<br><br> X=<br> Y=
amm1812

Answer:

x = 11/3 , y = -17/3

Step-by-step explanation:

Solve the following system:

{5 x - 7 y = 58 | (equation 1)

y = -x - 2 | (equation 2)

Express the system in standard form:

{5 x - 7 y = 58 | (equation 1)

x + y = -2 | (equation 2)

Subtract 1/5 × (equation 1) from equation 2:

{5 x - 7 y = 58 | (equation 1)

0 x+(12 y)/5 = (-68)/5 | (equation 2)

Multiply equation 2 by 5/4:

{5 x - 7 y = 58 | (equation 1)

0 x+3 y = -17 | (equation 2)

Divide equation 2 by 3:

{5 x - 7 y = 58 | (equation 1)

0 x+y = (-17)/3 | (equation 2)

Add 7 × (equation 2) to equation 1:

{5 x+0 y = 55/3 | (equation 1)

0 x+y = -17/3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 11/3 | (equation 1)

0 x+y = -17/3 | (equation 2)

Collect results:

Answer: {x = 11/3 , y = -17/3

8 0
3 years ago
Read 2 more answers
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