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3 years ago

PLEASE HELP IM CONFUSED

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:

178° 35'

Step-by-step explanation:

∠ACB and ∠ACD are supplementary, so they add up to 180°.

First, convert to degrees (there are 60 minutes in a degree).

∠ACB = 1°25' = 1° + (25/60)° = 1.4167°

Now find the supplementary:

∠ACD = 180° − 1.4167°

∠ACD = 178.5833°

∠ACD = 178° 35'

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There are 10 marbles in a bag. 1/5 are red and the others are blue. What is the ratio to blue marbles.

Irina-Kira [14]

Answer:

Ratio = 1 : 4

Step-by-step explanation:

Total marbles = 10

Given 1/5 is red, that is 1/5 of the total marbles are red

$\frac{1}{5} \ of \ 10 = \frac{1}{5} \times 10 = 2$

Therefore , 10 - 2 = 8 marbles are blue.

Ratio of red marbles to blue marbles

$\frac{2}{8} = \frac{1}{4} = 1 : 4$

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2 years ago

The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled

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Answer: A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.

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3 years ago

Given the speeds of each runner below, determine who runs the fastest.

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Adam divide the time by the distance and the biggest number is the fastest

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2 years ago

A randomized trial tested the effectiveness of diets on adults. Among 36 subjects using Diet 1, the mean weight loss after a yea

seropon [69]

Answer:

The 95% confidence interval is

$0.45 < \mu_1 - \mu_2 < 5.35$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 36$

The first sample mean is $\= x_1 = 3.5$

The first standard deviation is $\sigma_1 = 5.9 \ pounds$

The second sample size is $n_2 = 36$

The second sample mean is $\= x_2 = 0.6$

The second standard deviation is $\sigma = 4.4$

Generally the degree of freedom is mathematically represented as

$df = \frac{ [ \frac{s_1^2 }{n_1 } + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2 }$

=> $df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }$

=> $df =63$

Generally the standard error is mathematically represented as

$SE = \sqrt{ \frac{s_1 ^2 }{n_1} + \frac{s_2^2 }{ n_2 } }$

=> $SE = \sqrt{ \frac{ 5.9 ^2 }{ 36 } + \frac{ 4.4^2 }{36} }$

=> $SE = 1.227$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2}, 63 } = 1.998$

Generally the margin of error is mathematically represented as

$E = t_{\frac{\alpha }{2}, 63 } * SE$

=> $E = 1.998 * 1.227$

=> $E = 2.45$

Generally 95% confidence interval is mathematically represented as

$(\= x_1 - \x_2) -E < \mu$

=> $(3.5 - 0.6) - 2.45 < \mu_1 - \mu_2 < ( 3.5 - 0.6) + 2.45$

=> $0.45 < \mu_1 - \mu_2 < 5.35$

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2 years ago

Hey can you please help me posted picture of question

lisov135 [29]

If you observe the graph, the graph is touching the x-axis at the point x=-1 and is turning away.

This means, the graph as an even multiplicity at x=-1. So the two roots of the given polynomial are x = -1 and x = -1. Thus, the two factors of the polynomial are (x+1) and (x+1)

Product of the factors is equal to the polynomial. So the given polynomial will be (x+1)(x+1).

Therefore, the answer to this question is option C

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3 years ago