dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
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The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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9514 1404 393

Answer:

  211

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211

Answer:

211

Step-by-step explanation:

given : b = 38 and c = 8

Evaluate :

= b/2 + 3c²

= 38 / 2 + 3 ( 8 )²

= 19 + 3 × 64

= 19 + 192

= 211

Answer:

The answer is B

Step-by-step explanation:

I did the test and got it right

Answer:

0.07047

Step-by-step explanation:

at least 4 people survive is

4 people survive and 2 don't +

5 people survive and 1 doesn't +

all 6 people survive

the probability of 4 people to survive is the product of the individual probabilities :

0.3×0.3×0.3×0.3 = 0.3⁴ = 0.0081

times the probability 2 don't survive

0.7×0.7 = 0.49

0.0081×0.49 = 0.003969

now, the chance that 4 out of 6 survive is that probabilty times how many times we can select 4 out of 6.

to select 4 out of 6 is

\( \binom{6}{4} \)

= 6! / (4! × (6-4)!) = 6! / (4! × 2!) = 6×5/2 = 30/2 = 15

so, the probability of having 4 survivors is

15×0.003969 = 0.059535

the probability of 5 people surviving is 0.3⁵ times one not

0.3⁵×0.7 = 0.001701

we have 6 over 5 combinations to pick 5 out of 6 = 6.

so, in total for 5 survivors we get

6×0.001701 = 0.010206

and the probabilty of all 6 surviving is

0.3⁶ = 0.000729

so, the probability of at least 4 out of 6 surviving is

0.059535 +

0.010206 +

0.000729

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

0.070470

Answer:

approx 216

Step-by-step explanation:

well we go to the 10mm mark and we add the columns taht appear before that. Those are two columns : the brown/orangey one and the green one.

if the scale goes up in twenty and each jump has four squares then we can say that one square is equal to 5 up

so we now can read the first two columns

the first one reads 135

the second one reads approximately 81

we add those up and that becomes 216

so the answer is approximately 216

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer:

These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°:

Notice that together they make a straight angle.

supplementary angles 60 and 120

But the angles don't have to be together.

These two are supplementary because

60° + 120° = 180°

Step-by-step explanation:

Answer:

Increase 11.94 %

Step-by-step explanation:

Answer:

I'm going to make an uneducated guess here.

I think the probability of two engines failing would be the same for either aircraft. In the instance that does happen, the helicopter doesn't fly at all and the airplane does.

I say the airplane is safer.

Step-by-step explanation:

So, the plane is safer than the helicopter.

The formula for finding the probability by Binomial distribution is,

\(P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}\)

For Helicopter,

We need to calculate, Probability of safe landing, \(P(X = 0)\)

Here, \(n = 2, p = 0.99, (1 - p) = 0.01\ and\ x = 1\)

As per binomial distribution formula \(P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}\)

We need to calculate \(P(X \ge 1).\)

\(P(X \ge1) = (2_C_1 \times 0.99^1 \times 0.01^1) + (2_C_2 \times 0.99^2 \times 0.01^0)\\P(X \ge1) = 0.0198 + 0.9801\\P(X \ge 1) = 0.9999\)

For Plane,\(P(safe\ landing)\)

Here, \(n = 4, p = 0.99, (1 - p) = 0.01\ and\ x = 2\)

As per binomial distribution formula \(P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}\)

We need to calculate P(X >= 2).

\(P(X \ge 2) = (4_C_2 \times 0.99^2 \times 0.01^2) + (4_C_3 \times 0.99^3 \times 0.01^1) + (4_C_4 \times 0.99^4 \times 0.01^0)\\P(X \ge 2) = 0.0006 + 0.0388 + 0.9606\\P(X \ge2) = 1\\\)

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Answer:

i belive that the greek philosopher and mathematician was Archimedes

Answer:

18

Step-by-step explanation:

The sum of 24 and 12

divided by 2. means

24 + 12 / 2

36/2

=18

Answer:

Step-by-step explanation:

I believe it is C

Answer:

65 4 67. 1.23 A histogram (using the classes 10–14, 15–19, 20–24, etc.) is ... fairly symmetric with center around 2% to 3%, spread from −14.7% to 19.2%. (c) ... (b) Below. (c) The distribution is skewed to the left, with center (median) around 7.8. ... Using table values: 1.45 ± 1.96(0.40) = 1.45 ± 0.784, or 0.666 to 2.234 grams.

Answer:

The radius of a cone is \(\dfrac{3}{\sqrt{\pi} }\ \text{units}\).

Step-by-step explanation:

The formula of the volume of a cone is given by :

\(V=\dfrac{1}{3}\pi r^2 h\)

r is radius of cone

h is height of cone

We have,

Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,

\(r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}\)

So, the radius of a cone is \(\dfrac{3}{\sqrt{\pi} }\ \text{units}\).

Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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The decimal values are approximate.

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

Given info:

This is a right triangle, so we can use the pythagorean theorem to find the missing side 'a'.

a^2 + b^2 = c^2

a^2 + 4^2 = 6^2

a^2 + 16 = 36

a^2 = 36 - 16

a^2 = 20

a = sqrt(20)

a = sqrt(4*5)

a = sqrt(4)*sqrt(5)

a = 2*sqrt(5)

a = 4.4721 approximately

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

To find the missing acute angles, we'll need a trig ratio.

There are many options to choose from. I'll use cosine to find angle A

cos(angle) = adjacent/hypotenuse

cos(A) = b/c

cos(A) = 4/6

cos(A) = 2/3

A = arccos(2/3) .... this is the same as \(\cos^{-1}\)

A = 48.1897

For angle B, I'll use sine

sin(angle) = opposite/adjacent

sin(B) = b/c

sin(B) = 2/3

B = arcsin(2/3) .... same as \(\sin^{-1}\)

B = 41.8103

Or you could use the fact that A+B = 90.

If you know A = 48.1897, then B = 90-A = 90-48.1897 = 41.8103

All of these decimal values are approximate.

Answer:

Volume V = 18.735 m3

Step-by-step explanation:

hope this helps

Let us assume the numbers are x and y.

The first part of the question can be written as

and the second part can be written as

From equation 1, we can get a value for y as

Substitute for y in equation 3 into equation 2:

Expanding and solving, we get

Next, we substitute for the value of x into equation 3:

Therefore, the two numbers are 114 and 86

The range, in centimetres (cm), of the following lengths is 20.5 cm

What is the range?

The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm

So, the highest value of length = 21 cm

the lowest value of length = 0.5 cm

Then, range = the highest value - the lowest value

                    = 21 - 0.5 = 20.5 cm

Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm

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Answer:

\(\frac{2\pi }{3};\frac{4\pi }{3}.\)

Step-by-step explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

\(\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.\)

Answer:

A, B , D edge 2020

Step-by-step explanation:

Answer:

Its A, B, and D.

Step-by-step explanation:

wait, have you smiled today? its very important:)

Answer:  f(-6) = 11/32

Step-by-step explanation:

f(x) = 2x+1/5x-2    TO solve for  f(-6)   input -6 into the function for x.

f(-6) = 2(-6) + 1/ 5(-6) - 2

f(-6) = -12 + 1 / -30 - 2

f(-6) = -11/ -32  

f(-6) =  11/32

Answer:

  63 sets

Step-by-step explanation:

  (567 markers)/(9 markers/set) = 567/9 sets = 63 sets

__

The total number of markers in all the sets (s) will be ...

  9s = 567

Divide both sides of this equation by 9 to find the number of sets:

  9s/9 = 567/9

  s = 63

Mrs. Bowlin created 63 sets of markers.

3/7 of the pizzas were veggie.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

If 2/7 of the pizzas were pepperoni and 2/7 were cheese, then the total fraction of those two types is 2/7 + 2/7 = 4/7.

Therefore, the fraction of pizzas that were veggie is 1 - 4/7, which simplifies to 3/7.

So, 3/7 of the pizzas were veggie.

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Mrs. Nolte ordered 24 pizzas for a school fundraiser. Of the pizzas, 2/7 of them were pepperoni, 2/7 were cheese, and the rest were veggie pizzas.

What fraction of the pizzas was veggie?

Answer:

5/24

Step-by-step explanation:

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

The planes that are parallel in the cube shown would be C. NOR and LMP.

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

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Answer:

False

Step-by-step explanation:

Irrational number cannot be in the form p/q

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.