Plz help! It’s due soon!

Answer:

f(6) =34

Step-by-step explanation:

f(x) = 5x + 4

Let x= 6

f(6) = 5*6 +4

     = 30 +4

     = 34

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

The error is that he was supposed to do the equation 2^2 which equals 4. 17-4= 13. 13 is your answer, not 225

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of workers = 20+ 15 + 10 = 45

Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is \((^{45}_6)\) ways

If 7 workers are selected from 20 workers on a day shift;

Then, the number of ways to select 7 members from a group of 20 is \((^{20}_7)\) ways;

∴

P( all 7 selected workers will be from the day shift) is:

\(= \dfrac{(^{20}_7)}{(^{45}_6)}\)

\(=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}\)

= 0.0095

The possible number of ways to select all day shift workers is:

\(=(^{20}_{7})\)

The  possible number of ways to select all swing shift workers is:

\(=(^{15}_{7})\)

The possible number of ways to select all graveyard shift workers is:

\(= ( ^{10}_{7})\)

∴

The probability that all selected workers are from the same shift is:

\(= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg]\)

\(= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}\)

= 0.0095 + 0.00079 + 0.000015

= 0.010305

P(selected workers are from at least two different shifts)

= 1 - P(selected workers are from 1 shift from any of the 3 shifts)

= 1 - 0.010305

= 0.989695

≅ 0.9897

We can determine the probability that at least one shift is unrepresented through the following ways:

Let assume that:

\(X_1 =\) event that day shift is unrepresented

\(X_2 =\) event that swing shift is unrepresented

\(X_3 =\) event that graveyard shift is unrepresented

Thus; \((X_1 \cap X_2)\) = event that all of them are drawn from graveyard shift.

\((X_1 \cap X_3) =\) event that all are drawn from swing shift

\((X_2 \cap X_3) =\) event that they are all drawn from day shift.

So;

\(P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590\)

\(P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499\)

\(P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256\)

\(P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015\)

\(P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079\)

\(P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095\)

\(P(X_1 \cap X_2 \cap X_3) =0\)

Probability (that at least one shift is unrepresented) is:

\(= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)\)

= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0

≅ 1.124

Answer:

2.97 with the line

Step-by-step explanation:

the line tells you that the 97 will repeat

2.9797 is more than 2.9782

Answer:

3\(\frac{1}{2}\) ft

Step-by-step explanation:

7 yd x 3ft/yd = 21 ft

21 ft / 6 pieces = 3.5 ft/piece = 3'6" / piece

Answer:

38/39

Step-by-step explanation:

P=s/(s+f)

P=38/(38+1)

P=38/39

The value of line RS is 23

From the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.

Note that the sides of a square are equal to each other.

The relationship is represented as;

Line PS = Line PQ = Line QR = Line RS

We have that;

Substitute the expressions

6x - 5 = 9x - 4

Now, collect like terms

6x - 9x = - 4 - 5

Subtract the like terms

-3x = -9

Make 'x' the subject of formula

-3x/-3 = -9/-3

x = 3

Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23

Hence, the value is 23

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30+4+.8+.01

easy and simple

Answer:

0.230

Step-by-step explanation:

Given

Estimate = 72%

Number of citizens = 14

Required

Find the probability that exactly 10 of the citizens will be in favor

This question can be solved using binomial expansion of probability which states;

\((p + q)^n = ^nC_0 .\ p^n.\ q^{0} + ....+ ^nC_r .\ p^r.\ q^{n-r}+ .. +^nC_n .\ p^0.\ q^{n}\)

Where p and q are the probabilities of those in favor and against of building a health center;

n is the selected sample and r is the sample in favor

So; from the above analysis

\(n = 14\)

\(r = 10\)

\(p = 72\% = 0.72\)

\(q = 1 - p\)

\(q = 1 - 0.72\)

\(q = 0.28\)

Since, we're solving for the probability that exactly 10 citizens will be in favor;

we'll make use of

Substituting these values in the formula above

\(Probability = ^nC_r .\ p^r.\ q^{n-r}\)

\(Probability = ^{14}C_{10} .\ 0.72^{10}.\ 0.28^{14-10}\)

\(^{14}C_{10} = 1001\)

So, the expression becomes

\(Probability =1001 * \ 0.72^{10}.\ 0.28^{14-10}\)

\(Probability =1001 * \ 0.72^{10}.\ 0.28^4\)

\(Probability =1001 * 0.03743906242 * 0.00614656\)

\(Probability =0.23035156495\)

\(Probability =0.230\) ----Approximated

Hence, the probability that exact;y 10 will favor the building of the health center is 0.230

Answer:

x=2,250

Step-by-step explanation:

Ummmmmm ok hold on let me see

Answer:

Josh made 40 free throws.

Step-by-step explanation:

5/7=0.71428571428

0.71428571428*56 = 39.99

so Josh made 40 free throws.

Have a nice day! :-)

Answer:

1. 5m - 10

2. 18p - 1

3. 48x + 6

4. -5(7x+ 6)

5. 18y - 3

6. 3.2z + 0.64

7. 2(4w - 16)

8. 2.2(x + 1)

9. 100z² - 538

24

10. — y³

4

and pls mark brainliest

Answer:

Cylinder

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation:

Answer:

A^2 + B^2=C^2

Step-by-step explanation:

21^2 + 28^2= c/c

For the second answer its just backwards.

Answer:

He can make 12 recipes with 4 bags of chips.

Step-by-step explanation:

Each bag makes 3 recipes. (1/3 + 1/3 + 1/3 = 1 bag.)

3 x 4 = 12

Answer:

12

Step-by-step explanation:

take the denominator which is 3

multiply by 4

4 x 3 = 12

p.s. jess

Answer:

The first one

Step-by-step explanation:

because you multiply..

Answer:

the last one

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation:

You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

Answer:

Center ( -8, 1 )

Radius ( 13 )

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

The truck travels at a velocity of 360 kilometers per hour.

Let suppose that both the passenger car and the truck travel at constant velocity, we have following formula if they meet each other at a given point:

\(x = v_{P}\cdot t\) (1)

\(L-x = v_{T}\cdot t\) (2)

\(\frac{v_{T}}{v_{P}} = r\) (3)

Where:

Now we proceed to reduce the system of linear equations:

(1) and (3) in (2):

\(L - v_{P}\cdot t = v_{P}\cdot r \cdot t\)

\(L = v_{P}\cdot (1-r)\cdot t\)

\(v_{P} = \frac{L}{(1-r)\cdot t}\) (4)

And by (3) and (4) we know the velocity of the truck:

\(v_{T} = \frac{r\cdot L}{(1-r)\cdot t}\)

If we know that \(r = \frac{4}{5}\), \(L = 225\,km\) and \(t = 2.5\,h\), then the velocity of the truck is:

\(v_{T} = \frac{\left(\frac{4}{5} \right)\cdot (225\,km)}{\left(1-\frac{4}{5} \right)\cdot (2.5\,h)}\)

\(v_{T} = 360\,\frac{km}{h}\) \(\blacksquare\)

The truck travels at a velocity of 360 kilometers per hour.

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Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer:

K = 16

Step-by-step explanation:

Answer:

I believe your answer is b. the more trials you conduct, the more information you have

An experimental probability is more likely to approach the theoretical probability if the number of trials simulated is larger. Then the correct option is B.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Experimental probability: A probability that is established from the findings of several iterations of a test.

Theoretical probability: The proportion of positive consequences to all potential outcomes. The ratio of the favorable event to the total event.

An experimental probability is more likely to approach the theoretical probability if the number of trials simulated is larger.

Then the correct option is B.

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Answers Below

1) = 1/5

2) = 1/4

3) = 3/20

4) = 2/25

5) = 1/3

Please Brainly

Answer:

i)1/5

ii)1/2

iii)3/20

iv)1/3

Step-by-step explanation:

Just keep eliminating in all sums as we are multiplying and u will get the ans.

Pls mark me brainliest

Answer: C, (-1, -5)

Step-by-step explanation:

A = 2, B = 4, C = -3

We know the graph opens up because a is positive.

This rules out A and D

We are left with B and C as options.

Let's change this into vertex form

\(y=a(x-h)^2\)

Complete the square

\(2(x+1)^2-5\)

now a = 2, h = 1, k = -5

The vertex is (h, k)

plug in values:

(-1, -5)

Answer:

(a) - 3/2

(b) - 78/25

Step-by-step explanation:

According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .

The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.

The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.

(a)

\(tan\beta = \frac{3}{-2} = \frac{-3}{2}\)

(b)

\(13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}\)

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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