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3 years ago

Please explain your answer step by step thankyou

Mathematics

1 answer:

8_murik_8 [283]3 years ago

4 0

Answer:

Step-by-step explanation:A = 35 given

C = 45 given

B = 180 -35-45= 100 three angles of triangle = 180

You might be interested in

2-11/12 in simplest form =

lisov135 [29]

If you are trying to subtract 11/12 from 2 then the answer would be 13/12 as a improper fraction and 1 1/12 as a mixed number

3 0

4 years ago

Read 2 more answers

Two students spent the same amount of

RUDIKE [14]

0.60-0.40=0.20

3.80-3.20=0.60

0.60 divided by 0.20=3

Hence, each student got 3 toppings each.

hope it helps:))

7 0

3 years ago

1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.

zepelin [54]

x = -29/7

Step-by-step explanation:

A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)

= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58

A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7

4 0

3 years ago

Read 2 more answers

Noise levels at 5 airports were measured in decibels yielding the following data: 152,154,139,124,120 Construct the 80% confiden

Yuri [45]

Answer:

$137.8-1.533\frac{15.595}{\sqrt{5}}=127.108$

$137.8+1.533\frac{15.595}{\sqrt{5}}=148.492$

So on this case the 80% confidence interval would be given by (127.108;148.492)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=137.8$

The sample deviation calculated $s=15.595$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.1,4)".And we see that $t_{\alpha/2}=1.533$