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Lilit [14]
3 years ago
7

Evaluate the following: −3 − (−2). (5 points) Question 1 options: 1) −5 2) −1 3) 1 4) −6

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

2) -1

Step-by-step explanation:

it is easy

 we have to first open the brackets, as it is ' - '  we have to change the sign to opposite of that of the number in the bracket and then solve it.

so the number 2 is having negative sign, we make it positive. this rule is applied only when there is a negative sign and a bracket is there.

-3-(-2)

-3+2

=-1

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A searchlight rotates through one complete revolution every 52 seconds how long does it take to rotate 90 degrees?
nasty-shy [4]

Time taken to rotate 90° is 13 seconds

<u>Explanation:</u>

Given:

To complete one revolution, the searchlight takes 52 seconds

One revolution = 360°

So,

360° is completed in 52 seconds

Time taken to complete 90° is \frac{52}{360} X 90

                                            = 13 sec

Therefore, time taken to rotate 90° is 13 seconds

8 0
3 years ago
What does 9a squared + 2b squared if a=4 and b=7?
joja [24]
Wait is a squared or 9a squared
7 0
3 years ago
I am bad at algebra2 I need help solving this please
Nikolay [14]
3x/8  divided by 7y/4
you can not divide fractions, so you must multiply by the reciprocal.

3x/8  x  4/7y   now you can simplify the 4 and 8
3x/2 x 1/7y   now multiply across
3x/2(7y)
3x/14y  should be your answer
8 0
3 years ago
3. Nutrition labels. The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 13
svetoff [14.1K]

Answer:

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 34

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0322

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0322\frac{17}{\sqrt{35}} = 5.84

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 134 - 5.84 = 128.16 calories

The upper end of the interval is the sample mean added to M. So it is 134 + 5.84 = 139.84 calories

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

3 0
3 years ago
An arithmetic sequence is given below.
Mashcka [7]
Given that a_1=24 and a_2=17, if a_n is an arithmetic sequence, then the common difference between successive terms is d=a_2-a_1=17-24=-7.

You then have

a_2=a_1+d
\implies a_3=a_2+d=a_1+2d
\implies a_4=a_3+d=a_1+3d
\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d

So the explicit formula for the nth term is

a_n=24-7(n-1)
3 0
3 years ago
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