Solve the inequality.
y-6 < -13
y< 19
O
y<7
y<-7
y < -19

Answer:

option A

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = s/[tex]8\sqrt{2}[/tex]

[tex]\frac{1}{\sqrt{2} } *8\sqrt{2}[/tex] = s

root 2 and root 2 gets cancel

8 = s

Answer:

Step-by-step explanation:

With 35 internal nodes, there are 5*35=175 vertices out of which are 175-35=140 leaves.

The number of vertices in a full 5-ary tree is 175.

The number of leaves is 140.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of full trees = 5

Number of internal vertices = 35

Now,

The number of vertices.

= 5 x 35

= 175

Now,

The number of leaves.

= 175 - 35

= 140

Thus,

Number of vertices is 175.

Number of leaves is 140.

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Answer:

A= 1%

B=10%

C= 32%

Step-by-step explanation:

There are 100 total squares, which makes this easy because a percent is out of 100%. All you have to do is count the number of squares and put it out of 100

9514 1404 393

Answer:

  $287.94

Step-by-step explanation:

The final cost is found by multiplying the cost by the various factors:

  $299 × 1.07 × 0.90 ≈ $287.94

Answer:

0.6 probability that [tex]-2 \leq x \leq 2[/tex]

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

[tex]P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)[/tex]

From the table:

[tex]P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11[/tex]. So

[tex]P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60[/tex]

0.6 probability that [tex]-2 \leq x \leq 2[/tex]

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

Explanation:

The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.

Or you could say 180 - 107 = 73.

The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is

73+73+y = 180

146+y = 180

y = 180-146

y = 34

Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each

We can now solve for x

y+y+x = 180

34+34+x = 180

68+x = 180

x = 180-68

x = 112, so the answer is choice D

Answer:

B

Step-by-step explanation:

Let the number = x

2/5 (x - 1)

<

3/5 (x + 1)

2/5 (x - 1 ) < 3/5(x+ 1)      Multiply both sides  by 5

2(x - 1) < 3 ( x + 1)            Remove the brackets.

2x - 2 < 3x + 3                Add 2 to both sides

2x < 3x + 5                     Subtract 3x from both sides

2x - 3x < 5              

- x < 5                            Here's the tricky part . Divide by - 1

x > -5                             Notice what happened. The < become > That happens because you have divided (or multiplied) by a negative number.

The original question 2/5 (x - 1 ) < 3/5(x+ 1)    was graphed. The red part is every value that satisfies the inequality. You should be using a y and x together to find a more suitable answer using this program. But if you just look along the x axis, you will see that the < has been turned around.

B The second one from the top.

Answer:

(a) 3 (b) 1/3

Step-by-step explanation:

The probability is defined as the ratio  of number of elements in event to the number of elements in sample space.

(a) As the total number of child is 3, so the number of elements in sample space = 3

(b) The sample space is { boy, boy, girl}

So, the probability is 1/3.  

Answer:

x=2,92 or x=_1.51

Step-by-step explanation:

factories out all the brackets first

(3x_3)(3x_2)+(x+6)(x_8)

9x^2_6x_6x+4+x^2_8x+6x_48

add and sutract only like terms

10x^2_14x_44

solve the equation using the quadratic fomula

x =2.91 and x= _1.51

Answer:

77

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

Answer:

B

Step-by-step explanation:

You're trying to isolate the m so add 16 to both sides to cancel the -16

Answer:

9/3::16x/X

Step-by-step explanation:

do in this way the answer will come

Answer:

32 students

Step-by-step explanation:

9 : 3

9 - 3 = 6

6 : 16

9 + 3 = 12

12 : y

[tex]\frac{6}{16} :\frac{12}{y}[/tex]

y · 6 = 12 · 16

6y = 192

6y ÷ 6 = 192 ÷ 6

y = 32

Answer: the required answer is 1320

Step-by-step explanation:

Total people = 12

Different phone lines = 3

We will choose the person to answer the first phone in 12 ways.

Then choose the second person in 11 ways. (11 people left)

Then choose the third person in 10 ways.  ( 10 people left)

The number of groups of 3 people can answer these lines[tex]12 \times11\times10=1320[/tex]

Hence, the required answer is 1320

Step-by-step explanation:

the answer is not a and b because when we accept 0 from x and look at graphic you can see 4

Yes, they are quite similar. the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation - based method (p < 0.0001)

P- value is the probability of obtaining a value of test statistic more extreme in the direction of alternative hypothesis than the observed one. In easy words if p -value < level of significance we reject H0 in favor of H1.

Here:

p-value < 0.0001 => we reject H0.

If the statistical software renders a p value of 0.000 it means that the value is very low, with many "0" before any other digit.

So the interpretation would be that the results are significant, same as in the case of other values below the selected threshold for significance.

Therefore, yes they are quite similar.

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Incomplete Question:

Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.

Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?

A. No, they are different.

B. Yes, they are quite similar.

Answer:

55%

Step-by-step explanation:

18 out of 40 include chili.

So 22 has no chili

22/40 = 0.55 or 55%

Answer:

[tex]{(xy)}^{a} [/tex]

Step-by-step explanation:

when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.

Hope I get your question~

Answer:

4. m<7 = m<3 + m<2

Step-by-step explanation:

Recall: the exterior angle theorem of a triangle states that an exterior angle is equal to the sum of the two opposite interior angles of a triangle.

❌Option 1 CANNOT be true

Rationale:

m<1 is an exterior angle of triangle ∆ABC and ∆EBC, so based on the exterior angle theorem of a triangle, m<1 = m<3 + m<4 or m<1 = m<ABC + m<5

❌Option 2 CANNOT be true.

Rationale:

m<5 ≠ m<3 - m<2

❌Option 3 CANNOT be true.

Rationale:

m<6 ≠ m<3 - m<2

✅Option 4 is CORRECT.

Rationale:

Based on the external angle theorem of a triangle,

m<7 = m<3 + m<2

Answer:

27 miles per gallons

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

297 miles / 11 gallons

27 miles per gallons

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

Answer:

0.884

Step-by-step explanation:

just use a calculator

I'm not sure it its prob D

Answer:

True

Step-by-step explanation:

Answer:

Isolate the variable and then use substitution to solve the system of equations.

Step-by-step explanation:

.

Answer:

A las 3 AM la temperatura era de -7 grados.

Step-by-step explanation:

Dado que la temperatura exterior era de 8 grados a la medianoche, y la temperatura bajó 5 grados durante cada una de las siguientes 3 horas, para determinar cuál era la temperatura a las 3 a.m. se debe realizar el siguiente cálculo:

8 - (3 x 5) = X

8 - 15 = X

-7 = X

Por lo tanto, a las 3 AM la temperatura era de -7 grados.

Answer:

Variance, V = 162.2133 kg²

Step-by-step explanation:

Given the following data;

Standard deviation = 12.7363 kg.

To find the the variance of their weights?

Mathematically, standard deviation is equal to the square root of variance.

[tex]Sd = \sqrt{V}[/tex]

Where;

Sd is the standard deviation of the sample.

V is the variance of the sample.

Substituting into the formula, we have;

[tex]12.7363 = \sqrt{V}[/tex]

Taking the square of both sides, we have;

[tex]12.7363^{2} = V [/tex]

Variance, V = 162.2133 kg²

Answer:

7.5 is 37.5% of 20.

Step-by-step explanation:

Solve for %

We know that ; % = given no. ÷ total no. × 100

Where, we've

plug the values

[tex] \small \sf \frac{7.5}{20} \times 100 \\ [/tex]

canceling 100 by 20 to get

7.5 × 5

multiply the numbers

37. 5 %

9514 1404 393

Answer:

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

  A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

  360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

  $1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

  $157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

  $378,000 -157,823 = $220,177

Answer: The distance left after 20 days is 1350 miles

Step-by-step explanation:

To calculate the distance, we use the formula:

[tex]s=\frac{d}{t}[/tex]

where,

s = speed of the bicycle = 90 miles/day

t = time taken = 20 days

d = distance travelled = ? miles

Putting values in above equation, we get:

[tex]d=(90miles/day\times 20days)=1800 miles[/tex]

Total distance to the destination = 3150 miles

Distance travalled in 20 days = 1800 miles

Distance left after 20 days = [3150 - 1800] = 1350 miles

Hence, the distance left after 20 days is 1350 miles

It's in p/q form where p = 16 and q = 33.

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

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error