Suppose ac = 5 cm, bc = 12 cm, and . to the nearest tenth of a unit, the radius of the circumscribed circle is cm and m∠oac = °.

Answer:

Do you mean 2x<2 or

X <2 or do you mean x²<2

Step-by-step explanation:

If your question is X²<2

Then

Total outcomes=5

Possible outcomes=3(-1,0,1)

Probability of x²<2=3/5

If your question means probability of2x<2

Then

Total outcomes=5

Possible outcomes=3 (-2,-1,0)

Probability of 2x<2=3/5

If your question means x< 2

Then

Total outcomes=5

Possible outcomes=4 (-2,-1,0,1)

Probability of x <2 =4/5

If I have not answered your question

then you can comment and ask me if you have any doubts

Hope this helps

Answer:   Yes

Step-by-step explanation:

Any number that can be written as a fraction, or in other words the ratio between two numbers, is a rational number. It is also a real number as rational numbers are a sub-set of the collection of real numbers

Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

D

Step-by-step explanation:

The range of the function is all possible y-values of an function or an output.

In this study, there are a total of 40 subjects. The researcher samples 20 healthy people and 20 people with pre-existing conditions. Out of these, 10 healthy people and 10 people with pre-existing conditions are given a flu shot, while the other 10 from each group are not given flu shots.

To calculate the total number of subjects (N), we add the number of healthy people to the number of people with pre-existing conditions:

N = Number of healthy people + Number of people with pre-existing conditions

N = 20 + 20

N = 40

Therefore, the total number of subjects in the study is 40.

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Answer:

0.25

Step-by-step explanation:

Answer:

The 6 is in the ten-thousands place

Step-by-step explanation:

6 written as a ten-thousand is 60,000

Answer:

0.51 or 51%.

Step-by-step explanation:

If there were 100 students in the school, then  38 have a dog 24 a cat and 11 have both.

So there are 38 - 11 = 27 who only have a dog and 24-11 = 13 who only have a cat.

So total number having a pet = 27+11+13

= 51 students.

So Prob(You will choose a student with a pet) = 51%.

Drawing a Venn diagram would help to answer this and make it  clearer.

Answer: answer above me is correct

Answer:

SM = 13

Step-by-step explanation:

M is the midpoint of ST, then

SM = MT , that is

2x + 3 = 4x - 7 ( subtract 4x from both sides )

- 2x + 3 = - 7 ( subtract 3 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Then

SM = 2x + 3 = 2(5) + 3 = 10 + 3 = 13

The annual interest rate of her investment would be = 4%

The principal amount invested= $500

The period of investment= 4years

The interest received= $80

The interest rate= ?

To calculate the interest rate use the formula,

SI = P×T×R/100

80 = 500 × 4 ×R/100

Make R the subject of formula,

R= 80 ×100/500×4

R= 8000/2000

R= 4%

Therefore, the annual interest rate of her investment would be = 4%.

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Answer:

SSS

SAS

ASA

RHS

AAS COROLLARY

Answer:

h = 81

Step-by-step explanation:

Simplify

19+8=27                      h/3-8+8=h/3

Isolate the variable

27 = h/3

27 x 3 = 81

Answer:

3.75

Step-by-step explanation:

3.75 because 7.50 × .50 (or 7.50/2) is 3.75

a) To prove the inequality (E(X1X2))2≤E(X21)E(X22), we can start by expanding the square on the left-hand side:
(E(X1X2))2 = (cov(X1,X2) + E(X1)E(X2))2
= cov(X1,X2)2 + 2cov(X1,X2)E(X1)E(X2) + (E(X1)E(X2))2
Using the fact that cov(X1,X2) = E(X1X2) - E(X1)E(X2), we can rewrite the above expression as:
E(X1X2)2 - 2E(X1X2)E(X1)E(X2) + E(X1)2E(X2)2
Now, note that for any real number t, E((tX1−X2)2)≥0. This means that the discriminant of the quadratic expression t2E(X1)2 - 2tE(X1X2) + E(X2)2 is non-positive. Therefore,
(E(X1X2))2 - E(X21)E(X22) ≤ 0
which proves the desired inequality.
b) Using part (a), we have:
rho2 = (cov(X1,X2) / (sd(X1)sd(X2)))2 ≤ 1
where sd(X1) and sd(X2) are the standard deviations of X1 and X2, respectively.
Since the standard deviations are positive, we can take the square root of both sides to obtain:
|rho| ≤ 1

Part (a) is proven by expanding the square on the left-hand side and using the fact that E((tX1−X2)2)≥0 for any real number t. Part (b) follows from part (a) and the fact that the correlation coefficient is bounded between -1 and 1.

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Answer:

Option (4)

Step-by-step explanation:

Mass of Mercury = 3.3 × \(10^{23}\) kg

Mass of Mars = 6.42 × \(10^{23}\) kg

Therefore, ratio of the masses of Mars and Mercury = \(\frac{6.42\times 10^{23} }{3.30\times 10^{23}}\)

                                                                                       = 1.95

\(\frac{\text{Mass of Mars}}{\text{Mass of mercury}}=1.95\)

Mass of Mars = 1.95 × (Mass of Mercury)

Therefore, mass of Mars is .95 times more than Mercury.

Option (4) will be the answer.

\(\\ \rm\hookrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(\\ \rm\hookrightarrow x=\dfrac{-5\pm\sqrt{25+32}}{4}\)

\(\\ \rm\hookrightarrow x=\dfrac{-5\pm\sqrt{57}}{4}\)

Need to Find :- The area of the trapezium.

We are here provided with height and two parallel bases of trapezium and we are interested in finding out the area of the trapezium.

As we know that,

\(\implies\sf \red{Area_{trapezium}= \dfrac{1}{2}\times (sum\ of \ parallel\ sides )\times height}\)

On substituting the respective values,

\(\sf: \implies Area =\dfrac{1}{2}\times (7cm +13cm)\times 10cm \\ \)

\(\sf : \implies Area = 20cm \times 5cm \\\)

\(\sf : \implies \underline{\boxed{\pink{\frak{ Area = 100cm^2}}}}\\\)

\(\underline{\underline{\textsf{ $\therefore$Hence the area of the trapezium is \textbf{100 cm$\bf ^2$ }.}}}\)

Given :

To find :

Solution :

We know,

\({\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (b_{1} + b_{2}) \times h} }}\)

Now, Substituting the values :

\({\qquad \dashrightarrow{ \sf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (7 + 13) \times 10} }}\)

\({\qquad \dashrightarrow{ \sf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times 20 \times 10} }}\)

\({\qquad \dashrightarrow{ \sf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times 200} }}\)

\({\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=100} }}\)

Therefore,

Answer:

the decimals should line up.

Answer:

press the right arrow 3 times

Step-by-step explanation:

to properly subtract any numbers the value of the digits need to be in line

If f is an increasing function and g is a decreasing function, then fog will be a decreasing function (option b).

The behavior of the composite function fog when f is an increasing function and g is a decreasing function. To answer this question, let's examine the properties of fog.

1. f is an increasing function: This means that if x1 < x2, then f(x1) < f(x2).
2. g is a decreasing function: This means that if y1 < y2, then g(y1) > g(y2).

Now, let's analyze the behavior of fog(x):

fog(x) = f(g(x))

Let's consider two points x1 and x2 such that x1 < x2.

Since g is a decreasing function, we have:
g(x1) > g(x2)

Now, as f is an increasing function, when we apply f to both sides, we get:
f(g(x1)) > f(g(x2))

This translates to:
fog(x1) > fog(x2)

Since x1 < x2, and fog(x1) > fog(x2), we can conclude that the composite function fog is a decreasing function.

So, the answer to your question is: If f is an increasing function and g is a decreasing function, then fog will be a decreasing function (option b).

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The value of the x in the vertical angles are the 7/2.

According to the statement

We have to find that the value of the x in the given angles.

So, For this purpose, we know that the

An angle is formed when two straight lines or rays meet at a common endpoint.

From the given information:

If angle A is 4x+2 and angle B is 11x.

Then from the given figure, The given angles are the verticals.

We know that the Verticals angles are equal.

Then

4x+2 = 11x

7x = 2

x = 2/7.

Here the values of the x in the given vertical angles are 7/2.

So, The value of the x in the vertical angles are the 7/2.

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The lengths of the diagonals are:

GE = 8√5 units

DE = 4√5 Units

Area = 80 sq. units

We have been given an image of a kite on coordinate plane.

To find the length of GE we will use distance formula:

Distance = √[x₂ - x₁)² + (y₂ - y₁)²]

Substituting coordinates of point G and E in above formula we will get,  

GE = √[16 - 0)² + (8 - 0)²]

GE = √(256 + 64)

GE = √320

GE = 8√5 units

Similarly we will find the length of diagonal DF using distance formula.

DF = √[14 - 10)² + (2 - 10)²]

DE = √(16 + 64)

DE = √80

DE = 4√5 Units

Area of kite is given by the formula:

Area = (p * q)/2

where p and q are diagonals of kite.

Thus:

Area = ( 8√5 *  4√5)/2

Area = 80 sq. units

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First let's calculate the final price at the electronic store.

499.99*(1+0.05)≈524.99

Now let's calculate the final price online

(549.99+22.95)*(1-0.1)≈515.65

If we compare the two we can see that the online price is cheaper at around 515.65 dollar therefore the second choice is correct.

I hope this helped if you have any questions please ask!

The (∃E) rule is used to infer P(0) from ∀xP(x), and this conclusion is supported by the existence of an object that satisfies the predicate.

The rule of natural deduction that justifies P(0) from ∀xP(x) is the existential elimination (∃E) rule. This rule allows us to infer a particular instance of an existential quantification based on the existence of an object that satisfies the predicate. In this case, since we have the universal quantification ∀xP(x), we can use (∃E) to conclude P(0) by substituting 0 for x. By doing so, we have shown that there exists an object, namely 0, that satisfies the predicate P(x). Therefore, (∃E) justifies the statement P(0) from the given universal quantification.

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The option that is not a factor of capacity planning is the option d

d) Proximity to suppliers

The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.

The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.

Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers

Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.

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Answer:

cos 30 = √3 /2

cos 60 = 1/2

Explanation:

The cosine ratio for 30 degrres gives

which simplifies to give

The cosine ratio for 60 degrees gives

simplifying the right-hand side gives

which is our answer!

Hence, the correct answer choices are

cos 30 = √3 /2

cos 60 = 1/2

Answer:

1 min : 12 min

Step-by-step explanation:

To simplify the given ratio, convert both to the same unit of time.

1 hour = 60 minutes

3 hours = 3 x 60 minutes

             = 180 minutes

So that,

15 min : 3 hours = 15 min : 180 min

divide through by 15 to have;

15 min : 180 min = 1 min : 12 min

Thus the simplified form of the number give is 1 min : 12 min.

we can continue solving the equation correctly and find the accurate value for x. identify where Chelsea made a mistake, let's analyze the equation and her solution step by step:

Given equation: 4x - 5 = 23(x - 3)

Chelsea's solution:
Step 1: Distribute the 23 to the terms inside the parentheses:
4x - 5 = 23x - 69

Step 2: Simplify the equation by subtracting 23x from both sides:
4x - 23x - 5 = -69

Step 3: Combine like terms:
-19x - 5 = -69

Step 4: Add 5 to both sides to isolate the variable:
-19x = -64

Step 5: Divide both sides by -19 to solve for x:
x = -64 / -19
x ≈ 3.3684

Chelsea's mistake occurred in step 4. Instead of adding 5 to both sides, she subtracted it. The correct equation should be:

-19x + 5 = -69

By making this correction, we can continue solving the equation correctly and find the accurate value for x.

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Answer:

No, the surface area didn't double. It more than doubled (closer to tripled).

=====================================================

Explanation:

S = surface area of the box

S = 2*(LW + LH + WH)

S = 2*(24*27+24*10+27*10)

S = 2316 square cm

-----------------

Let's double the values of L and W

Now let's recompute the surface area

S = 2*(LW + LH + WH)

S = 2*(48*54+48*10+54*10)

S = 7224 square cm

-----------------

Summary so far:

Divide the larger value over the smaller to find that 7224/2316 = 3.119 approximately.

Since this result is not 2, it means the surface area did not double. It more than doubled. It would be more accurate to say the surface area roughly tripled.

Side note: if you were to double the length, width, and height, then the surface area would quadruple.

Answer:

see below

Step-by-step explanation:

1. x-9=-17-simplifies to a single solution-one solution

2.x+4=4+x-same thing on each side-infinite solutions

3. 0.4x=0.4x+2-same variable coefficient plus a number-no solutions

4. 5x=5x-3-same as above-no solutions

5. 5x=2-variable on one side, constant on another-one solution

6. x-5=x-5-same thing on each side-infinite solutions

7.3x=3x-same thing as above-infinite solutions

8.8x-10=8x-same coefficient for each variable plus a constant-no solutions

Answer:

One solution:

x + 9 = -17

5x = 10

No solution:

0.4x = 0.4x +2

5x = 5x - 3

8x - 10 = 8x

Infinite solutions:

x + 4 = 4 + x

x - 5 = x - 5

3x = 3x

Step-by-step explanation:

x + 9 = -17

  - 9     -9

x = -26 (one solution)

x + 4 = 4 + x

  - 4   - 4

x = x (infinite solutions)

0.4x = 0.4x +2

-0.4x  -0.4x

0 = 2 (no solution)

5x = 5x - 3

-5x  -5x

0 = -3 (no solution)

5x = 10

/5   /5

x = 5 (one solution)

x - 5 = x - 5

 + 5       + 5

x = x (infinite solutions)

3x = 3x (infinite solutions)

8x - 10 = 8x

    + 10  + 10

8x = 8x + 10

-8x   -8x

0 = 10 (no solution)

Hope this helps!