1. Solve 2x < 10. Explain how to find the solution set. I need help with this question.

Answer:

The numerical value of XY is 11

The numerical value of YZ is 13

Step-by-step explanation:

Given that

XY =3x- 4 , YZ = 2x +3, and XZ =24​

As Y is between the points X and Z so the sum of length of XY and YZ will be equal to the length of XZ. Putting this in mathematical form

[tex]XY+YZ = XZ[/tex]

Putting the values

[tex](3x-4) + (2x+3) = 24\\3x-4+2x+3 = 24\\5x-1 = 24\\5x = 24+1 \\\frac{5x}{5} = \frac{25}{5}\\x = 5[/tex]

Now

[tex]XY = 3x-4 = 3(5)-4 = 15-4 = 11[/tex]

[tex]YZ = 2x+3 = 2(5)+3 = 10+3 = 13[/tex]

Hence,

The numerical value of XY is 11

The numerical value of YZ is 13

Answer:

Mean = 22

Variance = 13.1320

Standard Deviation = 3.6238

Step-by-step explanation:

From the question, we can deduce that

n = 55 (sample)

p = 39.4% (proportion of those within the given range)

Solving (a): Expected Value, E(x)

This is calculated using the following formula.

E(x) = np

Substitute values for n and p

E(x) = 55 * 39.4%

E(x) = 55 * 0.394

E(x) = 21.67

E(x) = 22 ---- Approximated

Hence, the expected number of people is 22

Solving (b): Variance (σ²) and Standard Deviation (σ)

σ² is calculated as thus:

σ² = np(1 - p)

σ² = 55 * 39.4% * (1 - 39.4%)

σ² = 55 * 0.394 * (1 - 0.394)

σ² = 55 * 0.394 * 0.606

σ² = 13.13202

σ² = 13.1320 ---- Approximated

σ is calculated as follows:

σ = √σ²

Substitute value for σ²

σ = √13.13

σ = 3.6238 ----- Approximated

Answer:

75

Step-by-step explanation:

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

Answer:

Step-by-step explanation:

1). ∠7 ≅ ∠ 2 (alternate exterior)

m∠7 = m∠2 = 30°

2). ∠4 and ∠1 are supplementary angles

m∠1 = 180° - 72° = 108°

Answer:

D

Step-by-step explanation:

I did the math on paper and I got d

Answer:

download math space that will help you more then any one can right now it's in the play store and your welcome

Step-by-step explanation:

if u take a pic of any math problem it will solve it

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

Was right on the quiz

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

the first one is also right!!

Answer:

68

Step-by-step explanation:

Given triangle is an isoceless 56=56

So

X+56+56=180

X=180-112

X=68

So value is X is 68

Answer:

The net present value of 1,500 a year from now at 5% interest is $1,428.57.

Step-by-step explanation:

NPV = 1,500 / 1.05 = 1,428.57

Answer:

31.73

Step-by-step explanation:

[tex]3x^{2} +5y[/tex]

x = 2.1

y = 3.7

Substitute;

[tex]3(2.1)^{2} +5(3.7)=3(4.41)+18.5=13.23+18.5=31.73[/tex]

Answer:

The word "of" in the question means multiply, so you need to multiply these two fractions.

2/3 x 4/5 = 8/15

Step-by-step explanation:

Hope you have a great day ;-)

Answer:

8/15

Step-by-step explanation:

This is the answer because:

1) Four-fifths of two thirds basically means 4/5 x 2/3 because "of" in math usually means multiplication.

2) 4/5 x 2/3 = 4 x 2/ 5 x 3 = 8/15

Therefore, the answer is 8/15.

Hope this helps!

Answer:

$5.25

Step-by-step explanation:

Answer:

The required probability is [tex]\mathit{\frac{9}{14}}[/tex]

Step-by-step explanation:

Probability: Rule of Addition

The probability that Event A or Event B occurs is equal to the probability that Event A occurs plus the probability that Event B occurs minus the probability that both Events A and B occur. It can be calculated as follows:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

There are 14 types of crackers the company sells, numbered from 1 to 14. The sample space for purchasing one cracker is:

[tex]\Omega=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}[/tex]

There are n=14 possible choices.

The favorable cases for a cracker with an odd number are:

A = {1,3,5,7,9,11,13}

There are 7 favorable cases.

The favorable cases for a cracker with a number greater than 11 are:

B = {12,13,14}

There are 3 favorable cases.

The cases which are common to both events are:

A ∩ B= {13}

There is 1 case.

The probability of each event is:

[tex]\displaystyle P(A)=\frac{7}{14}=\frac{1}{2}[/tex]

[tex]\displaystyle P(B)=\frac{3}{14}[/tex]

[tex]\displaystyle P(A\cap B)=\frac{1}{14}[/tex]

Therefore:

[tex]\displaystyle P(A\cup B)=\frac{1}{2}+\frac{3}{14}-\frac{1}{14}[/tex]

Adding the fractions:

[tex]\displaystyle P(A\cup B)=\frac{7+3-1}{14}=\frac{9}{14}[/tex]

The required probability is [tex]\mathbf{\frac{9}{14}}[/tex]

Answer:

- 0.9

Step-by-step explanation:

your welcome.what is quotient?a result obtained by dividing one quantity by another.

Answer:

attached is the answer :)

Step-by-step explanation:

The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.

It is a line that touches a single point on the circle.

Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.

OA=a

Lb=a also

O'L=b-a

In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,

OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]

=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]

It will be the length of AB also.

Learn more about circles at https://brainly.com/question/24375372

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Answer:

3

Step-by-step explanation:

H is a horizontal shift to the right. The graph went over 2, so h=2. From there the graph went up 3 (vertical shift) so K=3

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

Answer:

Step-by-step explanation:

Given linear inequalities of the point (2,3)

So.

(X-2)(X-3)=0

x^2-2x-3x+6=0

x^2-5x+6=0

It's solutions is x^2-5x+6.

Answer:

right. because if the insecticides gets in your mouth, it will infiltrate your lungs and you will suffocate.

Step-by-step explanation:

Answer:

0.6 - 0.43 = 0.17

From the graph, the range of the sine function will be [-1, 1]. Then the correct option is C.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

The domain means all the possible values of x and the range means all the possible values of y.

From the graph, the curve is a sinusoidal function. The domain of the sine function is all real numbers.

From the graph, the range of the sine function will be [-1, 1]. Then the correct option is C.

The diagram is given below.

More about the trigonometry link is given below.

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Answer:

No. of 6 of hearts = 1

Total no. of cards = 52

Probability = 1/52

Hope it helps....... pls mark as brainliest

This is the likelihood or chance that an event will occur. The probability of choosing the "6 of hearts" is 1/52

This is the likelihood or chance that an event will occur. Mathematically;

Probability =expected/total

Since a standard deck of card contains 52 cards, hence total outcome is 52 cards

No. of 6 of hearts is 1 from the deck of cards

Pr(choosing 6 of hearts) = 1/52

Hence the probability of choosing the "6 of hearts" is 1/52

Learn more on probability here:  https://brainly.com/question/7965468

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The first step is to multiply by a power of 10, so the divisor is a whole number.

The nest step is to divide, by figuring out how many time 25 goes into 105 .

Step-by-step explanation:

i took the exam now

Answer:

Original number is 86

Step-by-step explanation:

              Original:   10x + y

Double reversed:   2(10y + x)

Constraints:

  x + y = 14                                     ===>            x = 14 - y

  2(10y + x) + 10x + y = 222          ===>           21y + 12x = 222

Substitution to find y:

  21y + 12x = 222

  21y + 12(14 - y) = 222

  21y + 168 - 12y = 222

            9y + 168 = 222

                      9y = 54

                        y = 6

Substitution to find x:

  x = 14 - y

  x = 14 - 6

  x = 8

Original:   10x + y

                 10(8) + (6)

                 80 + 6

                 86

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

Answer:

[tex]f^{-1}[/tex](2) is 3

Step-by-step explanation:

In the function f(x) = y, its inverse is f(y) = x

So to find the inverse of a function switch x and y

Example:

In f(1) = 2, x = 1 and y = 2

Its inverse is [tex]f^{-1}[/tex](y) = x

Then, [tex]f^{-1}[/tex](2) = 1

Let us use this rule to solve the question

∵ f(3) = 2

∴ x = 3 and y = 2

→ To find its inverse switch x and y

∵ [tex]f^{-1}[/tex](y) = x

∴ [tex]f^{-1}[/tex](2) = 3