PLSS HELP

suter [353]

Answer:

x = 14

Step-by-step explanation:

$f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14$

5 0

4 years ago

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050

Alborosie

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

$y = x( \frac{z {}^{1} + {z}^{n} }{2} )$

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

$y = 20( \frac{5 + 100}{2} )$

$y = 20( \frac{105}{2} )$

$y = 1050$

5 0

3 years ago

Twelve people are given two identical speakers, which they are asked to listen to for differences, if any. Suppose that these pe

ruslelena [56]

Answer:

0.0537

Step-by-step explanation:

This follows a binomial distribution with : n

Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3

P (X = 3) = $N C r. (p)^r.(q)^(n-r)\\$

= 12C3 (0.5)^3 (0.5)^9

0.0537

7 0

3 years ago

Find the value of x such that the data set has the given mean. 98, 123, 105, 114, 109, x ; mean 113 x = (Type an integer or a de

kotykmax [81]

Answer: 129

Step-by-step explanation:

the mean is the average of the data. including x, there are 6 data points

average = total/6

average = (98 + 123 + 105 +114 +109 + x) / 6

113 = (98 + 123 + 105 +114 +109 + x) / 6

113 = (549+ x) / 6

678 = 549 + x

x = 129

6 0

3 years ago

2] The Patel family drinks a total of 360 fijuid ounces of water a day. How many cups of water is

adell [148]

Answer:

45 cups

Step-by-step explanation:

8 ounces are in 1 cup.

360oz/8oz=45 Cups

3 0

3 years ago

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