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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

serious [3.7K]3 years ago

8 0

Answer:

54°

Step-by-step explanation:

2x +2° = 3x - 52° { being vertically opposite angles }

3x - 2x = 52° + 2°

x = 54°

Hope it will help :)

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Three teachers handed out math and science textbooks for their classes two teachers had 21 students each and the last teacher ha

Tanya [424]

Answer:

64 textbooks

Step-by-step explanation:

the first two teachers had 21 students each that's 21+21=42

the other teacher had 22 students so apparently all the textbooks handed to the students are,21+21+22=64

8 0

2 years ago

Suppose that 50% of all babies born in a particular hospital are boys. If 6 babies born in the hospital are randomly selected, w

WINSTONCH [101]

Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, the values of the parameters are given as follows:

n = 6, p = 0.5.

The probability that fewer than 3 of them are boys is given by:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which:

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

$P(X = 0) = C_{6,0}.(0.5)^{0}.(0.5)^{6} = 0.0156$

$P(X = 1) = C_{6,1}.(0.5)^{1}.(0.5)^{5} = 0.0938$

$P(X = 2) = C_{6,2}.(0.5)^{2}.(0.5)^{4} = 0.2344$

Then:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0156 + 0.0938 + 0.2344 = 0.3438$

0.3438 = 34.38% probability that fewer than 3 of them are boys.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

2 years ago

Katherine bought snacks for her team's practice. She bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total c

Naddika [18.5K]

1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.

2. From the equation, x = $1.09.

<h3>What is an equation?</h3>

An equation is a mathematical statement that shows that two values are equal.

A system of equations uses numbers and variables.

<h3>Data and Calculations:</h3>

The cost price of a bag of chips = $2.70

The total cost of snacks = $15.78

The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)

Therefore, a bottle of juice = $1.09 ($13.08/12)

<h3>Equations:</h3>

Let a bottle of juice = x

Total cost of snacks = $15.78

2.70 + 12x = 15.78

or 12x + 2.70 = 15.78

12x = 13.08

x = 1.09 (13.08/12)

Learn more about equations at brainly.com/question/2972832

#SPJ1

7 0

1 year ago

Find the equation of a line in slope-intercept form that has a slope of -3/2 and passes through the point (-8,3)

Fantom [35]

Answer:

i do not no

Step-by-step explanation:

7 0

3 years ago

Can someone pls tell me the right answer pls and thank you

nadezda [96]

wwe 2k17. hop on. it will help out a lot with stress and tension if you know what i mean

6 0

3 years ago

Read 2 more answers