The nurses of a local hospital pledged of the following donations, in pesos, to the
Philippine Red Cross.
50 100 75 80 40 60 50 20 25 30 42
Find the:
(b) Mean
(c) MAD (in one decimal place only)

Answer:

15m-30

Step-by-step explanation:

\(\huge\fbox{Answer:~~~{\boxed{\bold{15m-30}}}}\)

Step-by-step explanation:

Hi there!

All we should do to simplify this expression is "distribute" 5:

\(\bold{5(3m-6)}\)

Multiply 5 by everything inside the parentheses:

\(\bold{15m-30}\)

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Answer:

25

Step-by-step explanation:

2x=x+25

2x-x=25

x=25

Answer: 13 + 2x = 63 and the cost of one ticket is $25 (x=25)

Step-by-step explanation:

Build the equation from what it tells you.

The entire trip costs $63

The concert ticket that is included costs $13

Two passes cost the same amount, use x for what you don't know, 2x.

So,  13 + 2x = 63.

Find x = cost one pass.

13 + 2x = 63

-13.          -13

      2x= 50

    2x/2= 50/2

     x= 25

Answer: 168

Step-by-step explanation:

Because 51-32 is in parentheses, we do that first. 51 minus 32 is 19. After that, you add 9 to 19 which is 28. The final step is to multiply 28 by 6 which is 168.

Answer:

73

Step-by-step explanation:

6 x 9 + (51-32 ) = ?

parenthesis first

next multiply 6 and 9

then add together

54 + 19 = 73

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:2/1

Step-by-step explanation:

you just have to flip the slope if it is perpendicular.

By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

0.3 = 0.5x - 0.7

0.5x = 0.3 + 0.7

0.5x = 1

x = \(\frac{1}{0.5}\)

x = 2

The solution of this linear equation is x = 2

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

1570f³t

Step-by-step explanation:

V=πr²h

V=3.14×10²×5

V=3.14×100×5

V=314×5

V=1570

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

351 and 1053 are the next terms of geometric sequence  13, -39, 117...

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given series is 13, -39, 117..

We need to find the fourth and fifth terms of the sequence.

The given sequence is geometric sequence.

Geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The general term of sequence \(a_{n} =ar^{n-1}\)

r is the common ratio

r=-39/13

=-3

a=13 first term

a₄=13(-3)³

a₄=13(-27)

Fourth term is 351.

Now plug in n as 5 to find 5th term.

a₅=13(-3)⁴

a₅=1053

Hence, the next two terms of geometric sequence are 351 and 1053.

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The product of the expression 1 1/6 x 7/8  is 49/48

Fractions are defined as parts of a whole number.

The different types of fractions are;

From the information given, we have the fractions;

1 1/6 x 7/8

convert the mixed fraction to improper fractions, we have;

7/6 × 7/8

Now, multiply both the numerators and denominators, we get;

49/48

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-5/7 ÷ - 7/5

-5/7 × 5/-7

-25/-49

25/49

0.510204082

Answer:

Sarah answered 16 questions out of 20 questions correctly.

Step-by-step explanation:

\(\frac{4}{5}\)=???

The denominator (5) equals the whole, which means it represents 20 here.

20/5=4

So, each part is 4.

If the numerator is 1, then the answer would be that Sarah answered 4 questions out of 20 questions correctly, but it's 4 over here.

So, 4x4=16

So hence, Sarah answered 16 Questions correctly.

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Answer:

it is 12 cm squared

Step-by-step explanation:

you do 4 times 3 to get the area

The value of life in minutes is exceeded by 90% probability is 327.025.

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution. The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation.

Here, we have

Given: The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 253 minutes and a standard deviation of 45 minutes.

We have to find the value of life in minutes is exceeded by 90% probability.

= Mean + Z (Standard Deviation)

= 253 + 1.645×45

= 327.025

Hence, the value of life in minutes is exceeded by 90% probability is 327.025.

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The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer: The graph is

The graph is plotted and attached.

A function is a law that relates a dependent and an independent variable.

The function is y = 3/4 x + 5

The slope of the line is (3/4)

and the y intercept is 5.

The graph is plotted and attached with the answer.

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The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Using the volume of the sphere, it is found that 445.1 in³ of the ball is occupied by water.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi}{3}r^3\)

In this problem, the radius is of r = 5 in, hence the volume in cubic inches is given by:

\(V = \frac{4\pi}{3}(5)^3 = 523.6\)

85% of this is filled by water, hence the space occupied by water, in cubic inches, is of:

0.85 x 523.6 = 445.1.

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Answer:

16/3

‎

‎‎‎

‎‎

‎

‎‎‎

The measure of arc CFE is 246⁰.

The measure of arc FED is 190⁰.

The value of the angle CFE is 57⁰.

The value of the angle DEF is 85⁰.

The value of the angles is calculated by applying intersecting chord theorem.

This theorem states that the angle at tangent is half of the arc angle of the two intersecting chords.

angle CFE = 180 - 123 (opposite angles of a cyclic quadrilateral)

angle CFE = 57

arc CDF = 2 x 57

arc CDF = 114

arc CFE = 360 - 114 = 246⁰

angle DEF = 180 - 95

angle DEF = 85

arc DCF = 2 x 85 = 170

arc FED = 360 - 170 = 190

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The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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