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3 years ago

Two thirds the sum of 30 and a number is 26 write this statement out as an equation and solve

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:s

Step-by-step explanation:

Let the number be x

2/3(30+x) = 26

2(30+x) = 26(3)

60 + 2x = 78

2x = 78 - 60

2x = 18

x = 18/2

x = 9

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Evaluate the expression: 5 + 3 × (5 - 2) 2 16 32 36 72

Charra [1.4K]

The answer would be 23 even though that is not one of the answer choices

4 0

3 years ago

In a survey, three out of four students said that courts show too much concern for criminals. Of seventy randomly selected stude

vladimir1956 [14]

Answer:

B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that $p = \frac{3}{4} = 0.75$

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find $P(X \geq 68)$ .

$P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001$

$P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001$

$P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001$

$P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003$

$P(X \geq 68)$ is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

5 0

3 years ago

HELP WITH BOTH PARTSSSSSSSSS

const2013 [10]

Answer:

Wait... that's my name... whatever, here is the answer XD

Step-by-step explanation:

c+9.75=20.75 is the answer :D

Cost of his ticket is $20.75

4 0

3 years ago

Read 2 more answers

A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds.A large bag contains 41/2 cups of dried fruit and

Juliette [100K]

Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

$\left \{ {{3f + 4a = 6} \atop {41/2 f + 6a = 9 }} \right.$

Solve for a in first equation:
a = (6 - 3f) / 4

Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0

Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

3 0

3 years ago

Complete the table of value s for 4x + y=20

kap26 [50]

It would be x=16 if you need the answers

7 0

2 years ago