Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer 1

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Answer 2
Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

Related Questions


A large fish tank measures 24 x 12 x 16 inches. If the tank is filled to the top, how much water will fill the tank?

Answers

Answer:

4608

Step-by-step explanation:

24 x 12 x 16 = 4608

A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence

Answers

Answer:

A sample of 6758 would be needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.

This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?

This is n for which M = 0.01. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]

[tex]n = 6757.5[/tex]

Rounding up:

A sample of 6758 would be needed.

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT

Answers

Answer: That is right

Step-by-step explanation:

Answer:

b) triangle, not regular

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

1) 14, 16, 18, 20, 22, ...
A) 29, 32, 35 B) 24, 26, 28
C) 34, 38, 42 D) 28, 31, 34

Answers

Answer:

What should we do the question pls

Andrew has 2 cats and 9 dogs. He writes the ratio 2:9. What does this ratio mean? *

Answers

Answer:

it means that for every two cats there are nine dogs, so if they were four cats there'll be 18 dogs and so on

Answer:

Two cats per nine dogs

Step-by-step explanation:

The ratio is two cats to nine dogs, meaning that for every two cats, there are nine dogs, and vice versa. This applies to any ratio. Hope this helps! Feel free to ask any questions!

!NO LINKS, NO FILES!

please :)

Answers

Answer:

B...?

Step-by-step explanation:

Either B or D so use your skills to find out ;)

Here is a 95% confidence interval estimate of the proportion of adults who say that the law goes easy on celebrities: 0.692 < p < 0.748 (based on data from a Rasmussen Reports survey). a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities

Answers

Answer:

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used(best point estimate) is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

The two bounds are 0.692 and 0.748.

a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities.

The mean of the bounds, so:

(0.692+0.748)/2 = 0.72

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

helpppppppppppppppppp

Answers

Use substitution
Since you know they are both y, you can make the values of each equal to each other.

2x - 9 = -x + 3
3x = 12, x = 4
Plug x = 4, into any equation
Y = 2(4) - 9
Y = 8 - 9 = -1, y = -1

Solution: (4,-1)

2. GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION

Answers

Answer:

its 5

Step-by-step explanation:

Solve for x

Can someone please help??I've been stuck on this for far to long

Answers

Answer:

x = 7

Step-by-step explanation:

We need to find the value of x in the given figure. It can be calculated using ratio.

We know that,

4+3 = 7

Taking ratios,

[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]

or

[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]

So, the value of x is equal to 7.

2.
Find the value of x.
110°
(x + 30)
po

Answers

the value of x is 80
(80+30) = 110
x= 80

Find the angular size of a circular object with a 1-inch diameter viewed from a distance of 4 yards.
The angular size of the object is Iº.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answers

Answer:

0.40°

Step-by-step explanation:

4 yards = 4*36 in = 144 in

Angle is x

tan(x/2) = 1/2 * 1/144x/2 = arctan (1/288)x /2 = 0.1989428794619145°x = 2*0.1989428794619145°x = 0.39788575892° x = 0.40° (rounded)

Find the volume.
pls help!

Answers

Answer:

(8*6*8)÷2=192ft^3

Step-by-step explanation:

find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2

THERE IS A BATTLE BETWEEN THE TWO REPLIES DOWN BELOW! WHO WILL GET THE MOST LIKES?

Answers

Answer: Ok Good luck other contestant.

The length of the rectangle is six times it’s width. If the perimeter is 84yd find the length and width

Answers

Answer:

W = 6

L = 36

Step-by-step explanation:

2L + 2W = 84

L = 6W

Substitute for L in the first equation

2 (6W) + 2W = 84

12W + 2W = 84

14W = 84

W = 6

Substitute W in the first equation

2L + 2(6) = 84

2L + 12 = 84

2L = 72

L = 36

Plug both values in both equations to be sure

2(36) + 2(6) = 84

36 = 6 * 6

Hope that helps!

I will give you Brainliest and 500 points if you do this please

Answers

Answer:

1. C

2. D

Step-by-step explanation:

1.

Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).

Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).

2.

If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?

Set up an equation:

Variable x = area of ft^2 for 1 gallon of paint

0.25/24 = 1/x

Cross multiply

0.25 × x = 24 × 1

0.25x = 24

To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4

1/4x = 24

Multiply both sides by 4

1x = 96

x = 96 ft^2

Check your work:

0.25/24 = 1/96

0.25 × 96 = 24 × 1

24 = 24

Correct

Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square

Answers

Answer:

pyramid,  solid, polyhedron

Step-by-step explanation:

The given figure is a pyramid.

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.

The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.

Learn more about pyramid here

https://brainly.com/question/13057463

#SPJ2

2/5÷1 7/8
how do I divide it​

Answers

Answer:

0.21333333333 or 2 21/40

Step-by-step explanation:

2/5+17/8

=2/5*8/8+17/8*5/5

=16/40+85/40

=16+85/40

=101/40= 2 21/40

you can also use this link for any other problems like this

https://www.calculator.net/fraction-calculator.html?t1=2&op=%2B&t2=17&b1=5&b2=8&ctype=1&x=100&y=24

What 2+2? I forgot :( points hehe

Answers

Answer:

4

Step-by-step explanation:

2+2=4

53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z

Answers

Is this shape a triangle????

34 in. 14 in. What is the area of the triangle?​

Answers

Area =238 inches squared

F(6) = 2(6)^2 + 5 sqrt(6-2)

Answers

Answe well this look complicated gimme some time

Step-by-step ex

find the cost of fencing a rectangular field 250m long and 130m wide at rupees 30 per meter​

Answers

Answer:

(250+250+130+130)*30=22,800

A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.

Answers

Answer:

280cm

Step-by-step explanation:

Given data

Robound= 70%

Initial height= 400cm

Let us calculate the final height after the rebound

=70/100*400

=0.7*400

=280cm

Hence the new height after the rebound is

280cm

how do you do this I really need some help!please ​

Answers

Answer:

It is correct for 5. Incorrect for 6. Lastly, correct for 7.

Answer:

yes

no

yes

Step-by-step explanation:

you plug in the 3 into the x, because x=3 so therefore 3+5>7 which becomes 8>7. Is 8 more than 7? yes! so its true. For the next, 7>12, thats not true. And for the last one, 10-7<5, so 3<5, which is true.

PLEASE HELP————————-

Answers

I think I know one of them, angles 1 and 5 are vertical

A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.

Answers

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: V = 262.610935 m³

graph the line with y-intercept 5 and slope 2​

Answers

Answer: y = mx + b

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

PLease give me answer ASAP

Answers

Answer:

             

Step-by-step explanation:

Answer:

the answer is get noob..........

There are 46 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standard deviation of 4 min. (Round your answers to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins

Answers

Answer:

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distribution of n values from a normal distribution:

If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.

This means that

[tex]\mu = 46*5 = 230[/tex]

[tex]s = 4\sqrt{46} = 27.13[/tex]

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{250 - 230}{27.13}[/tex]

[tex]Z = 0.74[/tex]

[tex]Z = 0.74[/tex] has a pvalue of 0.7704

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

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