Find x in DEF

A. 6
B. 6 (square root 2)
C. 6 (square root 3)
D. 12​

Answer:

2 triangles

Step-by-step explanation:

2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent . The two triangle are said to be the mirror image of each other.

Answer:

Step-by-step explanation:

Hello!

The historical data suggests that the life expectancy in Argentina is equal to the life expectancy in Bolivia.

With the objective of testing if that it hasn't changed, the records of recently deceased people from Argentina and Bolivia were selected at random:

Group 1: Argentina

X₁: Years of life of a recently deceased Argentinian.

n₁= 265

X[bar]₁= 74.8 years

S₁= 4.1 years

Group 2: Bolivia

X₂: Years of life of a recently deceased Bolivian.

n₂= 300

X[bar]₂= 75.4 years

S₂= 4.3 years

The parameters of interest are the population means of the years of life of people in both countries:

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α: 0.05

The statistic to use is an approximate standard deviation, and since both samples are quite large, it is valid to use the sample standard deviations in place of the population standard deviations:

[tex]Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S_2^2}{n_2} } }[/tex]≈N(0;1)

[tex]Z_{H_0}= \frac{(74.8-75.4)-(0)}{\sqrt{\frac{16.81}{265} +\frac{18.49}{300} } }= -2.54[/tex]

The critical values for this test are:

[tex]Z_{\alpha /2}= Z_{0.025}= -1.96[/tex]

[tex]Z_{1-\alpha /2}= Z_{0.0975}= 1.96[/tex]

Using the critical value approach, the decision rule is:

If [tex]Z_{H_0}[/tex] ≤ -1.96 or if [tex]Z_{H_0}[/tex] ≥ 1.96, reject the null hypothesis.

If -1.96 < [tex]Z_{H_0}[/tex] < 1.96, do not reject the null hypothesis.

[tex]Z_{H_0}[/tex] ≤ -1.96 so the decision is to reject the null hypothesis.

So with a 5% significance level, there is enough evidence to reject the null hypothesis, you can conclude that the life expectancy in Argentina is different from the life expectancy in Bolivia.

I hope this helps!

Step-by-step explanation:

One way

x3 + 11x2 - 3x - 33

x2(x + 11) - 3(x + 11)

(x + 11) (x2 - 3) are the factors

Answer:

Denote the principal amount: P

In 25 years, a bond with a 4.75% annual interest rate earned $2,375 as interest.

=> P x (1 + 4.75/100)^25 - P = 2375

=> P x 3.19 - P = 2375

=> P x 2.19 = 2375

=> P = 2375/2.19 = 1084.48$

Hope this helps!

:)

Answer:$2000

Step-by-step explanation:

Answer:

  137.26 m^3

Step-by-step explanation:

Put the numbers into the formula and do the arithmetic.

  v = (1/6)(√3.14)(60 m^2)^(3/2) = 137.26 m^3

Answer:

3 option is correct according to me

Answer:

Second option is the correct answer

[tex](x-2)^{2} =79[/tex]

Step-by-step explanation:

[tex]x^{2} -4x -75=0\\(x^{2} -4x+ 4)-4 -75=0\\(x-2)^{2}-79=0\\(x-2)^{2} =79\implies (x-h)^{2} =p[/tex]

Answer:

The median is 43

Step-by-step explanation:

I dont know why your answers dont have any of them,cause with the numbers

3425, 24, 50, 18. 46. 43, 36.32

that makes your median is 43

Answer:

The value of x is 0.624.

Property used: Symmetric property of equality

Step-by-step explanation:

The expression to be solved is:

[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]

Compute the solution as follows:

[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]

       [tex]=(2.5\times 6.25\ x)+(2.5\times 0.5)-11[/tex]

∵ Distributive property (a (b + c) = ab + ac)

       [tex]=15.625x+1.25-11\\=15.625x-9.75[/tex]

Substitute equation equal to 0 to compute the value of x as follows:

[tex]0=15.625x-9.75\\\\15.625x=9.75\\\\[/tex]

∵ Symmetric property of equality if a = b then b = a

[tex]x=\frac{9.75}{15.625}\\\\x=0.624[/tex]

Thus, the value of x is 0.624.

Answer:

lol

Step-by-step explanation:

1.)  2.5(6.25x + 0.5) = 11

​2.)  15.625x + 1.25 = 11  

3.)  15.625x = 9.75

​4.)  x = 0.624

Reason

1.)  Given

2.)  Distributive Property  

3.)  Subtraction Property of Equality

4.)  ​Division Property of Equality

Step-by-step explanation:

Now she has 6 watermelons.

Answer:

6 watermelons

Step-by-step explanation:

8-2=6 watermelons

Answer:

3000 gallons of gasoline and 2000 gallons of kerosene

Step-by-step explanation:

The first thing is that 16 ¢ and 15 ¢ are 16 and 15 cents, therefore we can express it as $ 0.16 and $ 0.15 respectively.

Now, we can solve by means of a 2x2 system of equations, we have to:

"x" is the number of gallons of gasoline

"y" be the number of gallons of kerosene

x + y = 5000 => x = 5000 - y

0.16 * x + 0.15 * y = 780

replacing

0.16 * (5000 - y) + 0.15 * y = 780

800 - 0.16 * y + 0.15 * y = 780

-0.01 * y = 780 - 800

y = -20 / -0.01

y = 2000

Therefore x:

x = 5000 - 2000

x = 3000

which means 3000 gallons of gasoline and 2000 gallons of kerosene

Answer: 1.3

Step-by-step explanation: Ok, let's make a number line...

0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6

From the number line, the only number that fits is 1.3

I hope this helps!

Answer:

1.3

Step-by-step explanation:

Hope this helps have a wonderful day

Answer:

[tex]=8x^6y^6z^7[/tex]

Step-by-step explanation:

[tex](4x^3*y^2*z^4)(2x^3*y^4*z^3)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\:a^c=a^{b+c}\\=4y^2z^4\cdot \:2x^{3+3}y^4z^3\\\mathrm{Add\:the\:numbers:}\:3+3=6\\=4y^2z^4\cdot \:2x^6y^4z^3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=4z^4\cdot \:2x^6y^{2+4}z^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\z^4z^3=\:z^{4+3}\\=4\cdot \:2x^6y^6z^{4+3}\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=4\cdot \:2x^6y^6z^7\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8x^6y^6z^7[/tex]

Answer:

The number is 36.

Step-by-step explanation:

Given that 1/3 of a number is 12. So let's make this number into any variable, I will choose x which means that 1/3 of x is equals to 12. Next we have to write an expression :

[tex] \frac{1}{3} \times x = 12[/tex]

In order to solve x, you have to multiply 3 to both sides :

[tex] \frac{1}{3} \times x \times 3 = 12 \times 6[/tex]

[tex]x = 36[/tex]

To find out what number 12 is one-third of, we can set up an equation. Let's assume the unknown number is represented by "x".

According to the given statement, we can write the equation as: 12 = (1/3)x To solve for x, we need to isolate it on one side of the equation.

We can do this by multiplying both sides of the equation by 3, canceling out the fraction: 3 * 12 = (1/3)x * 3 36 = x Therefore, 12 is one-third of 36. In other words, if we take one-third of 36, it will equal 12.

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Answer:

r = 3

Step-by-step explanation:

q = k / [tex]r^{2}[/tex]

k = q[tex]r^{2}[/tex] = 1.2 x 3 x 3 = 10.8

q = 10.8/[tex]r^{2}[/tex]

1.2 = 10.8/[tex]r^{2}[/tex]

r = [tex]\sqrt{10.8 /1.2}[/tex] = 3

As q is inversely proportional to r square the value of r is 1.66 when q is equal to 1.2

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant 'k' and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, q is inversely proportional to r square which is,

q ∝ 1/r².

q = k/r².

q = 30 when r = 3, From this we'll have the value of the constant of proportionality(k).

30 = k/9.

k = 30/9.

k = 10/3.

Now, q = 1.2 and k = 10/3.

Therefore,

1.2 = (10/3)/r².

r² = (10/3)×(1/1.2).

r² = 10/3.6.

r² = 2.77.

r = 1.66

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Answer:

  independent

Step-by-step explanation:

Dependent equations graph as the same line. These lines are not the same, so the equations are independent.

___

However, the lines are parallel, so the equations are also inconsistent. There is no solution to this system of equations.

Answer:

28.26

hop thats better the the first anser

Answer:

a. It is in standard form because the exponents are in order from highest to lowest.

Complete question:

a. It is in standard form because the exponents are in order from highest to lowest.

b. It is in standard form because the coefficients are in order from highest to lowest.

c. It is not in standard form because the constant should be the first term.

d. It is not in standard form because it can be further simplified.

Step-by-step explanation:

-24x^7-12x^2-9x+6

A polynomial is in standard form when the exponents are in order from highest to lowest. In the given expression , the exponent is in order x^7 and then x^2 and then x and constant.

Standard form does not depends on the coefficient of each each.

The given polynomial is in standard form because the exponent are in order from highest to lowest.

Answer:

A

Step-by-step explanation:

Answer:

9x^2 - 12x + 6 =0

work is pictured and shown

Answer:

$2.55 per kilogram bag of sugar.

Step-by-step explanation:

To calculate the cost of only 1 bag of sugar, you would take what you know - 2 kilograms costs $5.09 - and use that to determine your answer.

Since you know how much 2 bags costs, and you need to know the cost of 1, you would divide the cost of 2 bags of sugar by 2. (5.09 ÷ 2)

That equals 2.545, but since the problem is asking you to round to the nearest cent, you would end up with -------> $2.55

Hope this helps!

stay safe

Answer:

The number is 240

Step-by-step explanation:

Is means equals and of means multiply

30 = 12.5% * N

Change to decimal form

30 = .125 N

Divide each side by .125

30/.125 = .125N/.125

240 = N

Answer:

240

Step-by-step explanation:

30=.125x

solve

Answer:

The solutions are

x = -1, 1, -2√2, and 2√2.

Step-by-step explanation:

Given the equation

x^4 - 9x² + 8 = 0

Let u = x², then the equation becomes

u² - 9u + 8 = 0

u² - u - 8u + 8 = 0

(u² - u) - (8u - 8u) = 0

u(u - 1) - 8(u - 1) = 0

(u - 8)(u - 1) = 0

u - 8 = 0

=> u = 8

Or

u - 1 = 0

=> u = 1

For u = 8

=> x² = 8

=> x = ±√8 = ±2√2

For u = 1

=> x² = 1

=> x = ±√1 = ± 1

Answer:

B

Step-by-step explanation:

Answer:

smile mean laugh.

thank u

Answer:

a) The p value is a probability always between 0 and 1 and represent the evidence in favor of the alternative hypothesis if it's a low value then we have enough evidence to reject the null hypothesis otherwise we FAIl to reject the null hypothesis

b) For this case the result is important because the parameter established by the Public Healt is incorrect ,we obtain a significant result so then there is enough evidence to conclude that the true proportion of children that have been vaccinated against measles is lower than 91%

Step-by-step explanation:

For this case the system of hypothesis are:

Null hypothesis:[tex]p=0.91[/tex]  

Alternative hypothesis:[tex]p < 0.91[/tex]  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

For this case after conduct the hypothesis we have the following p value obtained:

[tex] p_v = 0.0001[/tex]

Part a

The p value is a probability always between 0 and 1 and represent the evidence in favor of the alternative hypothesis if it's a low value then we have enough evidence to reject the null hypothesis otherwise we FAIl to reject the null hypothesis

Part b

For this case the result is important because the parameter established by the Public Healt is incorrect ,we obtain a significant result so then there is enough evidence to conclude that the true proportion of children that have been vaccinated against measles is lower than 91%

Answer:

0.864p

Step-by-step explanation:

A discount of 20% is (1 - .2) = .8

8% tax is 1.08

.8 * 1.08 = 0.864

That means the new price is 0.864p

Answer:

A on edge trust

Step-by-step explanation:

The first three term of the sequence are,

⇒ 1/2 , 1/4, 1/8

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The recursive function is,

⇒ [tex]A_{n} = \frac{1}{2} a_{n - 1}[/tex]

And, We have;

⇒ a₁ = 1

Now, The recursive function is,

⇒ [tex]A_{n} = \frac{1}{2} a_{n - 1}[/tex]

Put n = 2;

⇒ [tex]A_{2} = \frac{1}{2} a_{2 - 1}[/tex]

⇒ [tex]A_{2} = \frac{1}{2} a_{1}[/tex]

⇒ [tex]A_{2} = \frac{1}{2}\ * 1[/tex]

⇒ [tex]A_{2} = \frac{1}{2}[/tex]

Put n = 3;

⇒ [tex]A_{3} = \frac{1}{2} a_{3 - 1}[/tex]

⇒ [tex]A_{3} = \frac{1}{2} a_{2}[/tex]

⇒ [tex]A_{3} = \frac{1}{2}\ * \frac{1}{2}[/tex]

⇒ [tex]A_{3} = \frac{1}{4}[/tex]

Put n = 4;

⇒ [tex]A_{4} = \frac{1}{2} a_{4 - 1}\\[/tex]

⇒ [tex]A_{4} = \frac{1}{2} a_{3}[/tex]

⇒ [tex]A_{4} = \frac{1}{2}\ * \frac{1}{4}[/tex]

⇒ [tex]A_{4} = \frac{1}{8}[/tex]

Thus, The first three term of the sequence are,

⇒ 1/2 , 1/4, 1/8

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The centre coordinates would be the opposite value of what is in the brackets

For example, the x value in the brackets is -3, the centre coordinate x value would be positive 3

The same would apply to the y value

The radius would be the square root of 36

Thus, your answer would be option A

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Answer: 40,000

Step-by-step explanation:

Rounding 39,918.23 to the nearest thousands is 40,000.

The given decimal number is 39,918.23.

We need to round the given decimal to the nearest thousand.

We follow the given steps to round numbers to the nearest whole number:

Step 1- We look at the number we want to round.

Step 2- As we are rounding our number to the nearest whole, we mark the digit in the one’s place.

Step 3- Now we look at the ‘tenths’ place (the digit to the right of the decimal point).

Step 4- (i) If the digit in the tenths column is 0, 1, 2, 3 or 4, we will round down the number from one place to the nearest whole number.

(ii) If the digit in the tenths column is 5, 6, 7, 8 or 9, we will round up the number at the one’s place to the nearest whole number.

Step 5- Remove all the digits after the decimal point. The left-out number is the desired answer.

Now, in the given decimal, the number in the thousand places is 9, which is greater than 5, and then the number becomes 40,000.

Therefore, rounding 39,918.23 to the nearest thousands is 40,000.

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Answer:

scalene

Step-by-step explanation:

We know it isn't a right triangle because it doesn't satisfy the Pythagorean Theorem (9² + 16² ≠ 17²). Because the lengths of the sides are all different, it can't be an equilateral (all equal sides) or an isosceles (2 equal sides) either. Therefore, it is a scalene triangle (all 3 sides different). Hope this helps!

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

Answer:

1/8 I think

Step-by-step explanation: