All categories

3 years ago

I need help with the following question, whichever one is right will get brainliest!

Mathematics

1 answer:

Schach [20]3 years ago

8 0

Given: m∠A + m∠B = 90° (Definition of Complementary Angles).

Given: m∠B = (5x + 8)°

A) m∠A = 180° + (5x + 8) is your answer choice:

Why it isn't the others:

B) m∠A = 90° - (5x + 8)

You are solving for complementary angles (90° in total when combined), so you subtract the measurement for B (5x + 8) to get A.

C) m∠A = 180° - 2(5x + 8)°

You double the complementary angle to solve for the supplementary. Essentially, just divide this answer by two to get the complementary angles.

D) m∠A = 82 - 5x

I was confused by this one, but essentially they just did one step of the isolating the variable, which was subtracting 8 from both sides. They did not finish isolating the variable however.

You might be interested in

Please i need to do this

jasenka [17]

Answer:

radius = 11.00 yd (to the nearest hundredth)

Step-by-step explanation:

Volume of a cylinder = $\pi r^2h$ , where $r$ = radius and $h$ = height

Therefore, for this problem: volume = 6458.98, $\pi$ = 3.14, $h$ = 17

Substituting these values into the above formula:

Volume = $\pi r^2h$ ,

6458.98 = 3.14 x $r^2$ x 17

6458.98 = 53.58 x $r^2$

$r^2$ = 6458.98 ÷ 53.58 = 121

$r$ = √121

$r$ = 11

$r$ = 11.00 yd (to the nearest hundredth)

6 0

2 years ago

Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater

jeka57 [31]

Answer:

a. 0.1917

b. 0.0914

d. 0.1580

Step-by-step explanation:

(a)

$P^D = \frac{15}{40} = 0.375$

$P^E = \frac{11}{60} =0.8133$

Mean, $\sigma_{P^D-P^E} = P^D-P^E$ = 0.375 -0.1833 = 0.1917

(b) sample prop ? Show your work and label each value.

Mean, = = 0.1917

Standard deviation = $\sqrt{\frac{P^D(1-P^D)}{N_D} +\frac{P^E(1-P^E)}{N_E} }$

Standard deviation = $\sqrt{\frac{0.375(1-0.375)}{40} +\frac{0.1833(1 - 0.1833)}{60} }$

Standard deviation = 0.0914

(c)

Normality condition:

np ≥ 10 and n(1-p) ≥ 10

Both the samples satisfy the normality condition.

(d)

The probability is obtained by calculating the z score,

$z = \frac{(P^D-P^E)-(P^d-P^e)}{\sigma_{P^D - P^E}}$

$z = \frac{0.1917-0.1}{0.0914}$ = 1.0029

P(z > 1.0029) = 1 - P(z ≤ 1.0029)

The probability is obtained from the z distribution table,

P(Z > 1.0029) = 1 - 0.8420 = 0.1580

3 0

3 years ago

536wiy3i6qjekuy4kerul4eluyk u4ledlure7l 6re.lel,u67e4 lerld,heyke l6e4df

11111nata11111 [884]

Well since "536wiy3i6q-----------" I can conclude that jncijenvjovnfouebfuasnokmnjbht6(yyy7ihhiswcnjiwdnjyudwucwdu=nonsense

7 0

3 years ago

4 diff salds 7 kinds of pizza and 6 desserts how many options

babymother [125]

I would say 168 is the answer.

8 0

4 years ago

1.44 Make-up exam: In a class of 28 students, 27 of them took an exam in class and 1 student took a make-up exam the following d

Olenka [21]

Answer:

a) Decrease

b) New mean = 78.43

c) Decrease

Step-by-step explanation:

We are given the following in the question:

Total number of students in class = 28

Average of 27 students = 79

Standard Deviation of 27 students = 6.5

New student's score = 63

a) The new student's score will decrease the average.

b) New mean

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean = \dfrac{\displaystyle\sum x_i}{27} = 79\\\\\sum x_i = 27\times 79 = 2133$

New mean =

$\text{ New mean} =\dfrac{ \displaystyle\sum x_i +63}{28}\\\\ =\dfrac{2133+63}{28}= \dfrac{2196}{28} = 78.43$

Thus, the new mean is 78.43

c) Since the new mean decreases, standard deviation for new scores will decrease.

This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease

Formula for Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

7 0

3 years ago