27.0258.4+ 6.19Step 1 of 2: Estimate the sum using rounded numbers.

Answer:

x = 5cm

Step-by-step explanation:

We Know

The x-scale is 1:5

Find x.

We Take

25 ÷ 5 = 5 cm

So, x = 5cm

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

A little more respect would go a long way.

Step-by-step explanation:

Be lucky some one gave you an answer most people don't get answers

ANSWER    Negative 25  (-25)

The answer is correct, it is in fact 25 however it should be negative because we are under surface.   -10+-15 is -25. SO you are -25 feet under water.

Hope this helps & good luck.

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

51.5

Step-by-step explanation:

5 x 7.5 + 14

37.5+14

51.5

Cara's first error was not 7 - 13, leading to an incorrect result of -32.

Cara's first error was that she did not evaluate (Negative 4) squared.

The expression in question is not provided, so let's assume it is "6 - 2 × (-4)² + 7 - 13".

According to the order of operations (PEMDAS/BODMAS), we evaluate operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

To evaluate the expression correctly, we follow the order of operations:

Evaluate the exponent (-4)².

Since (-4) squared is positive, (-4)² = 16.

Multiply 2 and 16.

2 × 16 = 32.

Evaluate the addition and subtraction from left to right.

6 - 32 + 7 - 13.

At this point, we see that Cara did not evaluate 7 - 13.

Therefore, her first error was not evaluating the subtraction correctly.

Continuing the evaluation:

6 - 32 + 7 - 13 = -32.

So, Cara's first error was not evaluating 7 - 13, leading to an incorrect result of -32.

It's important to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.

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Answer:

y=1 , z=-2

Step-by-step explanation:

I will use the method of elimination :

Multiply the top equation by 5 to make equation 3 :

35z + 15y = -55

Multiply bottom equation by 3 to make equation 4:

6z + 15y = 3

Subtract equation 3 from equation 4 to eliminate the y :

-29z = 58

Divide both sides by -29 to solve for z :

z = 58 ÷ -29

z = -2

Substitute this value into either equation 1 or 2 to solve for y :  

I chose equation 2 :

2(-2) + 5y = 1

-4 + 5y = 1

Add 4 to both sides :

5y = 5

Divide both sides by 5 :  

y = 1

Hope this helped and have a good day

Answer:

a. If the P-value is smaller than the significance level, the null hypothesis is rejected.

b. Pooled proportion = 0.8

c. z = 2.7

d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.

The claim is that the proportions differ significantly.

Then, the null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)

The significance level is 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.85.

\(p_1=X_1/n_1=170/200=0.85\)

The sample 2, of size n2=150 has a proportion of p2=0.7333.

\(p_2=X_2/n_2=110/150=0.7333\)

The difference between proportions is (p1-p2)=0.1167.

\(p_d=p_1-p_2=0.85-0.7333=0.1167\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7\)

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\(P-value=2\cdot P(z>2.7)=0.0072\)

As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Answer:

0.63 kg

Step-by-step explanation:

KE = 1/2mv²

solve for m:

m = 2(KE)/v²

m = 2(140J) / (21m/s)²

m = 280J / 441 = 0.63 kg

The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new​ wage is 3%.

A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".

Given data:

First, we find 3% of $10.51 to get new wage per hour

= 0.03$ * $10.51

= $0.32

Then, we add this increase to $10.51.

= $10.51 + $0.32

= $10.83

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Answer:

$1080

Step-by-step explanation:

monthly salary = $810

money spent on rent = 810 × 5/9 = $450

money spent on food = 810 × 1/3 = $270

money saved in a month = monthly salary - (money spent on [rent + food])

                                           = 810 - (450 + 270)

                                           = 810 - 720 = $90

money saved in a year = money saved in a year × 12

                                                           90 × 12 = $1080

                                             OR

monthly salary = $810

yearly salary = 810 × 12 = $9720

money spent on rent = 9720 × 5/9 = $5400

money spent on food = 9720 × 1/3 = $3240

money saved in one year =

yearly salary - (money spent on [rent + food] in an year )

                                           = 9720 - (5400 + 3240)

                                           = 9720 - 8640 = $1080

Answer:

d . candle burns down 1 cm per hour .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it correct

Answer:

26

hope this heps and pls mark brainliest :))

Step-by-step explanation:

The value of the x in the linear equation of the midpoint is a 3.85.

According to the statement

We have to find that the value of the x.

So, For this purpose, we know that the

Midpoint is the point on a line segment or an arc that is equidistant, when measured along the line or the arc, from both endpoints.

From the given information:

Given K is the midpoint of GH, GK = 5x - 3,and GH = 2x + 24

As the midpoint the both equation are equal to the each other.

Then

GK = GH

5x - 3 = 2x + 24

5x+2x = 24+3

7x = 27

x = 27/7

x = 3.85.

So, The value of the x in the linear equation of the midpoint is a 3.85.

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Answer:

So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.

The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2.  If side AB is the only one that can move then we would just extend that side twice the original length.

Answer:

(0, -3), (2, 1)

Step-by-step explanation:

Solve this by solving for the first variable in one of the equations, then substitute the result into the other equation.

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

7

Step-by-step explanation:

Given

RT=29

RS=2x+1

ST=6x+4

Now,

From the figure attached

RT=RS+ST

29=2x+1+6x+4

29=8x+5

29-5=8x

24=8x

x=3

Now,

Length of RS can be calculated as:

RS=2x+1

RS=2(3)+1

RS=7

Answer is 7

Answer:

D -6, 15

Step-by-step explanation:

Because 3,11 is the middle, and 12,7 is the other end, you can do

12 - 3 = 9

3 - 9 = 6

then

11 - 7 = 4

11 + 4 = 15

so

6 is you x and 15 is your y

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Answer:

1. y=2x-3

3. y=-2x-2

7. y=-1x+12

13. y=10x-5

11. y=3x+5

5. y=3x+10

9. y=3x+5

15. y=3x+10

Step-by-step explanation:

First, know that: y—y0 = m (x—x0)

1)

y+3=2(x+1)

y = 2x —1

11)

m=∆y/∆x

m=(3—5)/(—1+2) = —2/1 = —2

y—3 = —2(x+1)

y=—2x+1

3)

y+2=—2(x+5)

y=—2x—12

5)

y—10=3(x)

y=3x+10

7)

y—12=—1(x+6)

y=—x+6

9)

m=∆y/∆x

m=(3—5)/(—1+2) = —2/1 = —2

y—3 = —2(x+1)

y=—2x+1

13)

m=(10+5)/(—6—2) = 15/—8

y+5=(15/—8)(x—2)

y=(15/—8)x — (5/4)

15)

m=(3—10)/(—3—4) = —7/—7 = 1

y—3=1(x+3)

y=x+6

The value of y' by implicit differentiation, the value of y is \(y = \sqrt{5x +c}\)

We differentiate each side of an equation with two variables by taking one as a variable and the rest are constant.

Given

The function is \(y^2 + 5 = 5x\)

where x and y are variables..

On differentiating the equation, we have;

\(2yy' + 0 = 5\)

on simplifying, we have

2yy' = 5

Now solve the equation explicitly for y and differentiate to get y' in terms of x.

2yy' = 5

Separate the variables

\(y^2 = 5x + c\)

Taking square root on both the side

\(y = \sqrt{5x +c}\)

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

C) 515 hours.

D) 500 hours

c) sample 3

Step-by-step explanation:

1. Sample 2 mean = x2`= ∑x2/n2= 2060/4= 515 hours

Sample Service Life (hours)

1                2              3

495      525            470

500         515           480

505        505            460

500         515             470        

∑2000     2060         1880

x1`= ∑x1/n1= 2000/4= 500 hours

x2`= ∑x2/n2= 2060/4= 515 hours

x3`= ∑x3/n3= 1880/4=  470 hours

2. The mean of the sampling distribution of sample means for whenever service life is in control is 500 hours . It is the given mean in the question and the limits are determined by using  μ ± σ , μ±2 σ  or μ ± 3 σ.

In this question the limits are determined by using  μ ± σ .

3. Upper control limit = UCL = 520 hours

Lower Control Limit= LCL = 480 Hours

Sample 1 mean = x1`= ∑x1/n1= 2000/4= 500 hours

Sample 2 mean = x2`= ∑x2/n2= 2060/4= 515 hours

Sample 3 mean = x3`= ∑x3/n3= 1880/4=  470 hours

This means that the sample mean must lie within the range 480-520 hours but sample 3 has a mean of 470 which is out of the given limit.

We see that the sample 3 mean is lower than the LCL. The other  two means are within the given UCL and LCL.

This can be shown by the diagram.

Answer:

\((y - 4)^2 = -8(x - 2).\)

Step-by-step explanation:

The equation of a parabola with a vertical axis of symmetry, vertex (h, k), and focus (h+a, k) is given by:

\((y - k)^2 = 4a(x - h)\)

In this case, the vertex is (2, 4) and the focus is (0, 4).

Comparing this to the general equation, we have h=2, k=4, and h+a=0.

From h+a=0, we can solve for a:

a=-h = -2

Substituting the values of h, k, and p into the equation, we get:

\((y - 4)^2 = 4(-2)(x - 2)\)

Simplifying further:

\((y - 4)^2 = -8(x - 2)\)

Therefore, the parabola equation is\((y - 4)^2 = -8(x - 2).\)

Answer:

\(\sqrt[4]{xy^3}\).

Step-by-step explanation:

\(\sqrt[8]{x^2y^6}\)

= \(x^{\frac{2}{8} } y^{\frac{6}{8}}\)

= \(x^{\frac{1}{4} } y^{\frac{3}{4}}\)

= \(\sqrt[4]{xy^3}\).

Hope this helps!

Answer:

Step-by-step explanation:

Let's call the time in hours after which the passenger train overtakes the freight train as t.

The distance traveled by the freight train after t hours is 40t.

The distance traveled by the passenger train after t hours is 60(t-2).

At the moment when the passenger train overtakes the freight train, their distances must be equal:

40t = 60(t-2)

Expanding the second term, we get:

40t = 60t - 120

Subtracting 40t from both sides, we get:

0 = 20t - 120

Adding 120 to both sides, we get:

120 = 20t

Dividing both sides by 20, we get:

t = 6

So it will take 6 hours for the passenger train to overtake the freight train.

Answer:

$127

Step-by-step explanation:

\((.10 \times 1000) + (.20 \times 100) + (.70 \times 10) = 100 + 20 + 7 = 127\)