Help please :) simple 7th math

Answer:

4/9 can not be simplified  

Answer:

4/9

Step-by-step explanation:

You cant simplify 4/9 anymore. But in order to check you have to see if you can divide by 2, you can't. Then you see if you can divide by 3, you can't. Then you only have one more number left so you see if you can divide by 4, you can't. So your answer is 4/9.

Answer:

x = 11.4783

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are dealing with right triangles, we can use trig to help us solve missing values:

cos28° = x/13

13cos28° = x

x = 11.4783

Answer:

  see the attachment

Step-by-step explanation:

We hope this assignment came with an explanation. Otherwise, it's a meaningless image of numbers and circles.

__

We suspect the top circle is supposed to contain the product of the left and right circles, and the bottom circle is supposed to contain their sum.

When you're given only the product and sum, it can work reasonably well to look at the factorization of the product, and the sums of the factor pairs. It usually doesn't take long to find the sum of interest, if the numbers you're looking for are integers. (For the last problem, we had to look at several factor pairs before we found the right one.)

Answer:

153700

Step-by-step explanation:

The three conditions of a binomial distribution are:

In this case, all of the conditions of a binomial have been met because...

Since we only want one red chip, and there are 5 slots to fill (1 red+4 black), this must mean there are exactly 5 ways to get what we want.

We could have the following selections

With R = red and B = black. This value 5 will be used as the binomial coefficient. You can find this value through the use of the nCr combination formula or using Pascal's Triangle.

Note: we only have 3 black chips, but because we put the chip back each time, it means we can get more than 3 black selections.

We'll also be using x = 1 to find the probability of getting exactly one red chip

P(x) = (binomialCoefficient)*(p)^x*(1-p)^(n-x)

P(x) = 5*(p)^x*(1-p)^(n-x)

P(1) = 5*(2/3)^1*(1-2/3)^(5-1)

P(1) = 0.0411523

The probability of getting exactly one red chip is roughly 0.0411523

Answer:

0.04112

Step-by-step explanation:

The total number of chips here are 6 + 3 = 9 chips

The probability of there being red chips would be 6/9 = 2/3rds = 0.67

According to the binomial theorem P(x) = C(n, x) * px * (1 - p)(n - x). We know that the process is repeated until 5 chips have been drawn, so n = 5. The probability that one red chip is selected would make x = 1, so we would have to solve for P(1).....substituting appropriate values;

P(1) = C(5, 1) * 0.67^1 * (1 - 0.67)^4

= 0.67 * 5.1(1 - 0.67)^4C

= 0.33^4 * 0.67 * 5.1C

= 0.33^4 * 3.417C

= (About) 0.04112...C

The probability that one chip was selected would be about 0.04112

Answer: width= 5cm Length= 7

Step-by-step explanation:

Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

Answer:

3/10 times 5

15/10 or 1 1/2

A child can walk one and a half miles in one hour.

Answer:

1.5 miles

Step-by-step explanation:

1 hour is 5 times longer than 1/5 of an hour.

So multiply the distance by 5.

5 X 3/10 = 15/10  or  1 5/10  or  1 1/2 miles

Answer:

It would be D

Step-by-step explanation:

Its d because if you put it in an equation it would be 6p=13.5

Isolate the p by dividing 6 on both sides.

p=13.5/6

theres your answer!

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

Answer:

D as in Drink

Loan S as a Snake

Step-by-step explanation:

The loan that offers the lowest effective interest rate is loan P.

Effective interest rate is the actual interest rate that is paid on a loan. It takes into effect the compounding.

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

Loan P = (1 + 0.10393/365)^365 - 1 = 10.95%

Loan Q = (1 + 0.10516/52)^52 - 1 = 11.08%

Loan R = (1 + 0.10676 / 12)^12 - 1 = 11.2%

To learn more about the effective annual rate, please check: https://brainly.com/question/4064975

Answer:

g = 23/2

Step-by-step explanation:

Answer:

2/3(g-7)=3

We move all terms to the left:

2/3(g-7)-(3)=0

Domain of the equation: 3(g-7)!=0

g∈R

We multiply all the terms by the denominator

-3*3(g-7)+2=0

Wy multiply elements

-9g(g+2=0

Answer:

0

Step-by-step explanation:

Answer:

a. P(AUB) = 0.74

b. P(A∩C) = 0.24

c. P(BUC) = 0.71

d. P(Bc) = 0.55

e. P(A∩B∩C) = 0.11

Step-by-step explanation:

n(U) = Total number of elements in the set = number of elements in the universal set = 38

A: (Outcome is an odd number (00 and 0 are considered neither odd nor even)]

An odd number referred to any integer, that is not a fraction, which is not possible to be divided exactly by 2. Therefore, we have:

A: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35

B: 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35

C: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

a. Calculate the probability of AUB

AUB picks not more than one each of the elements in both A and B without repetition. Therefore, we have:

AUB = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 35

n(AUB) = number of elements in AUB = 28

P(AUB) = probability of AUB = n(AUB) / n(U) = 28 / 38 = 0.736842105263158 = 0.74

b. Calculate the probability of A ∩ C  

A∩C picks only the elements that are common to both A and C. Therefore, we have:

A∩C: 1, 3, 5, 7, 9, 11, 13, 15, 17

n(A∩C) = number of elements in A∩C = 9

P(A∩C) = probability of A∩C = n(A∩C) / n(U) = 9 / 38 = 0.236842105263158 = 0.24

c. Calculate the probability of BUC

BUC picks not more than one each of the elements in both B and C without repetition. Therefore, we have:

BUC: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 24, 26, 28, 29, 31, 33, 35

n(BUC) = number of elements in BUC = 27

P(BUC) = probability of A∩C = n(BUC) / n(U) = 27 / 38 = 0.710526315789474 = 0.71

d. Calculate the probability of Bc

Bc indicates B component it represents all the elements in the universal set excluding the elements in B. Therefore, we have:

Bc: 00, 0, 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36

n(Bc) = number of elements in Bc = 20

P(Bc) = probability of Bc = n(Bc) / n(U) = 20 / 38 = 0.526315789473684 = 0.55

e. Calculate the probability of A∩B∩C

A∩B∩C picks only the elements that are common to A, B and C. Therefore, we have:

A∩B∩C: 11, 13, 15, 17

n(Bc) = number of elements in A∩B∩C = 4

P(A∩B∩C) = probability of A∩B∩C = n(A∩B∩C) / n(U) = 4 / 38 = 0.105263157894737 = 0.11

Note: All the answers are rounded to 2 decimal places.

Answer:

answer is 32

Step-by-step explanation:

google the answer

Answer:

the 3 numbers are 49 56 and 63

Answer:

Step-by-step explanation:

Refer to attachment

Let the side of the triangle be a

The line segment x as per Pythagorean is: √(a² - 10²)

Therefore the vertices of the triangle are equidistant from the vertex of the square, so the distance x is same for both vertices

From the triangles we have side of the triangle:

Comparing the two we have:

So the value of a is:

Answer:

10√6 - 10√2

Step-by-step explanation:

The shorter leg of the small triangle created by the square and the equilatoral triangle = x

Other leg = 10

One of the triangles is a 45-45-90 triangle, so the hypotenuse, which also happens to be a side of the equilatoral triangle can be denoted as √2(10-x).

Using pythagoearn theorem, we know that relative to the other 2 of the 15-75-90 triangles, their hypotenueses which also happen to be sides of the equilatoral triangle are √(100+x^2)

So using transitivity, we can create this equation:

√(100+x^2)=√2(10-x)

Solving this using quadratic equations, we get that x= 20+10√3, x=20-10√3

The first equation can't be true since x has to be <10, so that means

x=20-10√3

We has substitute this into another equation to get a side length of the equilatoral triangle.

The answer is 10√6 - 10√2

Answer:

8 - 10 or -2

Step-by-step explanation:

h(-4) = -2(-4) - 10 = 8 - 10. If you want the answer to the problem, 8 - 10 = -2.

Answer:

Given Values

Substituting these values in 10y - 3z

we get,

= 10 × 8 - 3 × 8

= 80 - 24

= 56

Answer:

5.32147 is a rational number

Step-by-step explanation:

5.32147 is a rational number because it can be turned into a fraction.

Numbers that Make Sense A rational number is any number that can be expressed as a ratio (or percentage) of two integers.

[tex]\to 5.32147 \\\\\to \frac{532147 }{100000}[/tex]

Therefore, the given number is a "rational number".

Find out more about the rational number here:

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Answer:

25

Step-by-step explanation:

Step-by-step explanation:

using N=n^2-n

let n be 5 which is no of teams

N=5^2-5

N=25-5

N=20

where N is for only one match

so,let 2 matches be x

x=2N

x=2×20

x=40

so they played a total of 40 matches

Answer:

In the explanation. :)

Step-by-step explanation:

Find the exact value using trigonometric identities.

50 , 3  p o i n t

Hope this helps. Have a great day!

Answer:

50 , 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Shannon is designing a rectangular flag.

Therefore, all the interior angles of this flag measure 90°.

m∠1 + m∠2 = 90°

Since, ∠2 is 3 times as great as the measure of ∠1.

m∠2 = 3(m∠1)

Therefore, m∠1 + 3(m∠1) = 90°

4(m∠1) = 90°

m∠1 = 22.5°

m∠2 = 3(m∠1)

        = 3(22.5)°

        = 67.5°

m∠3 + m∠4 = 90° [Interior angle of a rectangle]

She thinks ∠3 and ∠4 are equal,

m∠3 = m∠4

m∠3 + m∠3 = 90°

2m∠3 = 90°

m∠3 = 45°

m∠4 = m∠3 = 45°

m∠2 = m∠6 [Opposite angles of a parallelogram are equal]

Therefore, m∠2 = m∠6 = 67.5°  

Finally she wants the measure of ∠6 is half of the measure of ∠5.

m∠6 = [tex]\frac{1}{2}[/tex](m∠5)

67.5° = [tex]\frac{1}{2}[/tex](m∠5)

m∠5 = 2(67.5)°

        = 135°

Answer: Shannon is designing a rectangular flag.

Therefore, all the interior angles of this flag measure 90°.

m∠1 + m∠2 = 90°

Since, ∠2 is 3 times as great as the measure of ∠1.

m∠2 = 3(m∠1)

Therefore, m∠1 + 3(m∠1) = 90°

4(m∠1) = 90°

m∠1 = 22.5°

m∠2 = 3(m∠1)

       = 3(22.5)°

       = 67.5°

m∠3 + m∠4 = 90° [Interior angle of a rectangle]

She thinks ∠3 and ∠4 are equal,

m∠3 = m∠4

m∠3 + m∠3 = 90°

2m∠3 = 90°

m∠3 = 45°

m∠4 = m∠3 = 45°

m∠2 = m∠6 [Opposite angles of a parallelogram are equal]

Therefore, m∠2 = m∠6 = 67.5°  

Finally she wants the measure of ∠6 is half of the measure of ∠5.

m∠6 = (m∠5)

67.5° = (m∠5)

m∠5 = 2(67.5)°

       = 135°

Step-by-step explanation:

Answer:

10 gumballs

Step-by-step explanation:

Since gumballs are 20 percent of 50 pieces(or 1/5), we divide 50 by 1/5.

We then get ten as our answer.

Answer:

a = 4, b = 0

Also, a = 0 and b = 0 :)

Answer:

A. 3(s)

B. 3(150) = 450 and 560 - 450 = 110 remaining books

Step-by-step explanation:

A. The number of leftover books on the shelf depends on the number of students because 3 books are taken per student, and the more students there are, the more books are taken. Specifically in sets of 3, gradually decreasing the total number of books and leaving a smaller amount leftover each time. Using b(s), we would replace "b" with 3 to represent the set of 3 books, since they are multiplied by the amount of students, giving us the formula 3(s).

B. Now that we know how many students are in the school library, in this case 150 is provided, we will also replace "s" with 150, the amount of students that are studying and taking 3 books each. So 3(150) = 450 books, and to find the leftover amount of b, we simply subtract 450 from 560. 560 - 450 = 110, meaning 110 represents the books left on the shelf.

The total number of books that'll be left on the shelf will be 110 books.

Number of books that are placed on the table = 560 books

Number of books taken by each student = 3 books each

Number of students that took books = s

Therefore, the number of books that are left on the shelf at the end of that day will be:

b = 560 - 3(s)

b = 560 - 3s

Therefore, when there are 150 students studying in this school, the number of books that will be left on the shelf will be:

b = 560 - 3s

b = 560 - 3(150)

b = 560 - 450

b = 110

There'll be 110 books left on the shelf.

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The value for log₂11 is 3.459.

To find the logarithm of 11 base 2, we need to determine the power to which we must raise 2 to obtain the value 11. In other words, we need to solve the equation 2^x = 11 for x.

Finding the exact value of log₂11 can be challenging since 11 is not a power of 2. Therefore, we can approximate the answer using numerical methods.

One way to approach this is by using the bisection method. We start by considering a lower bound and an upper bound for the value of x. Since 2^3 = 8 and 2^4 = 16, we can choose the interval [3, 4] as a starting point.

Next, we evaluate the midpoint of the interval, x = (3 + 4) / 2 = 3.5, and calculate 2^3.5 ≈ 11.314. Since this is larger than 11, we update our upper bound to 3.5.

We repeat the process by evaluating the midpoint of the new interval [3, 3.5], which gives us x = (3 + 3.5) / 2 = 3.25. Calculating 2^3.25 ≈ 10.63, we see that it is smaller than 11. Thus, we update our lower bound to 3.25.

We continue this iterative process, halving the interval each time, until we reach a satisfactory level of precision. After several iterations, we find that the value of x is approximately 3.459.

Therefore, an approximation for log₂11 is 3.459.

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