Find out the possible two numbers that satisfied all the given conditions. The LCM of two numbers is 130.• The HCF of the same two numbers is 13. • Both numbers are less than 100. Write down two possible numbers.

Answer:

d

Step-by-step explanation:

i think so

Answer:

false and 8 hours and 55 min

Step-by-step explanation:

Answer:

false. 8.9 in the scenario would be 9 hours and 30 minutes

Step-by-step explanation:

using decimals is not an accurate way to measure time.

if it was used, 8.9 would be 8 hours and 90 minutes. However, there are only 60 minutes in an hour, so 8.9 would translate to 9 hours and 30 minutes.

Answer:

4

Step-by-step explanation:

He made the mistake in step 4

The correct step should be x +2 as two had the sign "-" when it was on the other side

Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

Step 1: f(x) = 4x - 2

Step 2: y = 4x - 2

Step 3: x = 4y - 2

Step 4: x + 2 = 4y  (add 2 on both sides)

Thus, Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.

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9514 1404 393

Answer:

  False

Step-by-step explanation:

  (A/B) ÷ (C/D) = (A/B) × (D/C) = AD/(BC) ≠ AC/(B/D)

Answer:

12x+y

Step-by-step explanation:

12 times a number x

12x

Plus y

12x+y

Answer:

82.64

Step-by-step explanation:

Mean = 80 ; σ² = 36 ; σ = √36 = 6

Using the relation :

P(Z < x) = (x - mean) / standard deviation

P(Z < x) = 0.67

Z = invNorm(0.67) = 0.44

Hence,

0.44 = (x - 80) / 6

Cross multiply :

6 * 0.44 = x - 80

2.64 = x - 80

2.64 + 80 = x

82.64 = x

Hence, X = 82.64

Answer:

Step-by-step explanation:

if a straight line with a slop [tex]m[/tex] pass through point [tex]P(x_o, y_o)[/tex] it's equation is:

[tex]y-y_o=m(x-x_o)\\\\y-(3)=-4(x-(-1))[/tex]

[tex]y=-4x-4+3\\\\y=-4x-1[/tex]

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Given:

The conic equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

To find:

The value of C such that the given conic equation make a parabola.

Solution:

The general for of conic equation is:

[tex]Ax^2+Cy^2+Dx+Ey+F=0[/tex]

This equation represents a parabola is either A=0 or C=0 but not both equal to zero.

The given equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

Here, coefficient of [tex]x^2[/tex] is A=2 and coefficient of [tec]y^2[/tex] is C.

Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.

Therefore, the only value of C is 0.

Answer:

Slope/gradient = Rise/run

Rise = -2

Run= 1

Slope=-2

Answer:

A) 923.6m^3

Step-by-step explanation:

[tex]V=\pi r^{2} h\\V=\pi 7^{2} 6\\V=923.6[/tex]

Answer:

ans: 2 terms

Step-by-step explanation:

1st term: -3p^9

2nd term: -7p

Answer:

Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.

Answer:

Step-by-step explanation:

Answer:

a) 6:5

b) 11:5

(Daisies: 11-6=5)

The ratio of all flowers in the vase to daisies is 11 : 5.

Given is that there are 6 roses in a vase of 11 flowers. The rest are daisies.

The number of daisies in the vase → n{d} = 11 - 6 = 5.

Total number of flowers in the vase → n{t} = 11.

The ratio of all flowers in the vase to daisies is -

r = n{t}/n{d} = 11 : 5

r = 11 : 5

Therefore, the ratio of all flowers in the vase to daisies is 11 : 5.

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Answer:

a. The company will be expected to replace 13.35% of its batteries.

b. The company should guarantee the batteries for 35 months.

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.

Mean of 45.0 months and a standard deviation of 8.1 months.

This means that [tex]\mu = 45, \sigma = 8.1[/tex]

a. If Quick start guarantees a full refund on any battery that fails within the 36 month period after purchase, what percentage of its batteries will the company expect to replace?

The proportion is the p-value of Z when X = 36. So

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

[tex]Z = \frac{36 - 45}{8.1}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a p-value of 0.1335

0.1335*100% = 13.35%

The company will be expected to replace 13.35% of its batteries.

b. If quick Start does not want to make refunds for more than 10% of its batteries under the full refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?

The guarantee should be the 10th percentile, that is, X when Z has a p-value of 0.1, so X when Z = -1.28.

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

[tex]-1.28 = \frac{X - 45}{8.1}[/tex]

[tex]X - 45 = -1.28*8.1[/tex]

[tex]X = 34.6[/tex]

Rounding to the nearest month:

The company should guarantee the batteries for 35 months.

The liquid which has passed through the filter is called the filtrate. Filtration is a physical or chemical separation process that separates solid matter and fluid from a mixture using a filter medium that has a complex structure through which only the fluid can pass.

Answer: y=-2x-1

Step-by-step explanation:

First let's find the slope by using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]\frac{-3--1}{1-0} \\\frac{-2}{1} \\-2[/tex]

The equation for slope intercept form is y=mx+b where m is the slope and b is the y-intercept

The y-intercept is -1 giving us the equation

y=-2x-1

Step-by-step explanation:

Hey there!

Simply, ax²+bx+c = 0 is a standard quadratic equation form.

When any equation is in this form where a ≠ 0;

[tex]x = \frac{ - b \: \: \: + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Hope it helps!

Answer:

10x^3 + x - 1

Step-by-step explanation:

(6x^3 -7x - 4) + (4x^3 + 8x + 3)

Combine like terms

6x^3 + 4x^3 = 10x^3

Combine like terms

-7x + 8x = x

Combine like terms

-4 + 3 = -1

Combine the results of the terms

10x^3 + x - 1

Answer:

A=32

B=3

C=7

Step-by-step explanation:

Caitlyn surveyed 100 students to find out their favorite class. There were 29 students who enjoyed biology and 35 students who enjoyed English. There were 12 students who did not enjoy Biology, English, or Math.

29 like Biology so to find B you subtract. 29-6-5=3

35 like English so to find C 35-3-5-20=7

Total of 100 students subtract what you know to find A.

100-15-6-5-3-7-20-12=32

Answer:

The answer is below

Step-by-step explanation:

A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.

In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.

a) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 5(3) = 15

u² = h² + b² = 15 + 3² = 24

u = √24

b) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 4(2) = 8

h = √8

c) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 7(7) = 49

h = 7

u² = h² + b² = 7² + 7² = 98

u = √98

t² = h² + a² = 7² + 7²

t = √98

Given :

Moe bought a home for $200,000 in 2012. Every year the city appraiser has said Moe's home has increased in value 5% .

To Find :

What it Moe's home worth in 2019.

Solution :

We know, formula of compound interest is :

[tex]A = P ( 1 + \dfrac{R}{100})^n\\\\A = 200000\times ( 1 + \dfrac{5}{100})^{2019-2012}\\\\A = 200000\times ( 1 + \dfrac{1}{20})^7\\\\A = \$ 281420.0[/tex]

Hence, this is the required solution.

Answer:

The probability that you will have a white chip is 0.309

Step-by-step explanation:

You on the first try have a 1/7 or 14.285% chance the second one has a 1/6 or a 16.666% you then add them together and you have a 30.9% chance

The Probability of selecting white chips is [tex]0.0286[/tex].

Let,

The probability of the poker chips is,

            [tex]\ n(A)=3\\\\n(B)=3\\\\n(C)=1[/tex]

Lets find the the probability of selecting white clip:

"Probability [tex]=[/tex] Number  of outcomes/ Total outcomes"

Randomly select two chips from the jar,

                            [tex]P(C)=\frac{n(c)}{n(s)} \\\\P(C)=\frac{1}{7}[/tex]

          If the first chip is not white then the probability of the second chip being white is,

                     [tex]P(no\ white)=\frac{1}{6}[/tex]

                            [tex]\frac{1}{6} * \frac{1}{7} = \frac{1}{7}[/tex]

Total probability is the sum of the two probability is,

                            [tex]P=\frac{1}{7} +\frac{1}{7} \\\\P=\frac{2}{7}=0.286[/tex]

Hence,

The Probability of selecting white chips is [tex]0.0286[/tex].

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Step-by-step explanation:

I am really not good but I got 134.4 in

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent