Simplify the expression,

4/9z - 3/9z + 4 - 5/9z - 9 =

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

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Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

The sum of the angles of any triangle is 180°.

75° + 75° + m<BAC = 180°

m<BAC = 180° - (75° + 75°) = 30°

The rejection region in a one-tailed hypothesis test with a significance level of 0.05 is the upper 5% of the distribution. The correct answer is option A.

Thus, the rejection region in a one-tailed hypothesis test with a significance level of 0.05 is the upper 5% of the distribution.

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Step-by-step explanation:

the graph tells us :

she traveled the first 2 hours altogether 160 km.

then she stayed "still" somewhere (probably at a rest station) for 1 hour.

and then she traveled 3 hours at 60 km/h (kilometers per hour).

during these last 3 hours the given speed tells us that she was travelling 60 km for every hour.

so, in 3 hours she traveled

3 × 60 = 180 km

therefore, d is the total distance she traveled :

first 160 km

then 0 km

then 180 km

d = 160 + 0 + 180 = 340 km

Answer:

32

Step-by-step explanation:

Evaluate g(4), then substitute the value obtained into f(x) , that is

g(4) = 4² - 6 = 16 - 6 = 10, then

f(10) = 3(10) + 2 = 30 + 2 = 32

Answer:

probably square

Step-by-step explanation:

all units are equally seperated by 2 units so id say probably a square

Answer:

34.134%

Step-by-step explanation:

We start by calculating the z-scores

Mathematically;

z-score = (x-mean)/SD

for 352

z-score = (352-447)/95 = -95/95 = -1

For 447;

z-score = (447-447)/95 = 0/95 = 0

So the probability we want to calculate will be;

P( -1 < X < 0)

According to the emipirical rule, we want to calculate the proportion below 1 SD of the mean

According to the empirical rule, this is 34.134%

Answer:

Step-by-step explanation:

Let A = 2×2×3×3×3×3×5×5×5×11

Let B = 2×2×2×2×2×3×3×5×7×13​

Highest Common factors = 2 x 2 x 3 x 3 x 5

                                            = 180

Answer:

d

Step-by-step explanation:

hiiiiiiii

Answer:3920

Step-by-step explanation:

If you first mutiply 9x0 then 9x8 then 0x4 and 0x8 and add all the answers you get 3920

The total volume of the silo is 116.6 m³.

It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.

Diameter of the cylinder of the silo= 4.4m

So, the radius r of the cylinder will be = 2.2m

The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)

Height h of the cylinder = 6.2m

The total volume of the silo will be the combined volume of the cylinder and hemisphere.

The volume of cylinder = \(\pi r^{2} h\)

The volume of hemisphere = \(\frac{2}{3} \pi r^{3}\)

Total volume = \(\pi r^{2} h+ \frac{2}{3} \pi r^{3}\)

total volume = \(\pi r^{2} (h+\frac{2}{3} r)\)

Total volume = \(\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)\)

Total volume = 116.6 m³.

Therefore, the total volume of the silo is 116.6 m³.

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Answer:

116.6

Step-by-step explanation:

e2020

The probability of the arrow landing on section a is 1/5 since there are 5 equal sections. The probability of the coin landing on heads is 1/2 since there are only 2 possible outcomes (heads or tails) for the coin.

To find the probability of both events happening, we need to multiply the probability of the arrow landing on section a by the probability of the coin landing on heads. This gives us (1/5) * (1/2) = 1/10. So the probability that the arrow will land on the section labeled a and the coin will land on heads is 1/10. In other words, there is a 1 in 10 chance of both events happening. It is important to note that each event is independent of each other, meaning the outcome of one does not affect the other. This is because the spinner and the coin are not connected or related in any way.

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Answer:

23% chance

Step-by-step explanation:

There are a total of 26 students in the class, and 6 of them play basketball and 15 of them play baseball. This means that there are 6 + 15 - 9 = 12 students who play either basketball or baseball, and 9 students who play neither.

Of the 12 students who play either basketball or baseball, 6 of them play basketball and 15 of them play baseball, so there are 6 students who play both basketball and baseball. This means that the probability that a student chosen randomly from the class plays both sports is 6 / 26 = 0.23, or 23%.

Answer:

x = 6.86

Number of video games Fletcher has = 12.58

Step-by-step explanation:

Let

Number of video games Griffin has = x

Number of video games Tommy has = 3x

Number of video games Fletcher has = 3x - 8

Total number of video games is > 40

Griffin + Tommy + Fletcher > 40

x + 3x + (3x - 8) > 40

4x + 3x - 8 > 40

7x > 40 + 8

7x > 48

x > 48 / 7

x > 6.86

Number of video games Fletcher has = 3x - 8

= 3(6.86) - 8

= 20.58 - 8

= 12.58

When we have a radical, we can simplify it by the rule:

So, we have to break down 500 into simpler radicals until we have a radical that can't be broken down. Let's simplify Root(500).

Now, we can break down Root(50) further.

Now, let's break down Root(10) also, thus we have:

We can see:

• Root(25) is 5

• Also Root(2)*Root(2) is 2 by using the rule:

Thus, we finally have:

Answer:

i think that'll be -2/5,-2\2, 1.6, and then pi/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

write 3/15 in simplest form

simplify by dividing numerator and denominator by 3, you will have 1/5 which is your answer

In an observational study, lurking variables are present but not explicitly accounted for in the study design. These variables may have an effect on the outcome variable and can lead to confounding.

Lurking variables are variables that are not directly measured or controlled in a study, but can affect the relationship between the variables of interest. They can lead to confounding, which is when the effect of one variable on the outcome cannot be separated from the effect of another variable. In an observational study, it can be more difficult to identify and control for lurking variables, which can weaken the ability to draw causal conclusions.

Blinding is a technique used in some studies to reduce bias by hiding the treatment or condition from either the participants, the researchers, or both. In a single-blind study, either the participants or the researchers are unaware of the treatment or condition, while in a double-blind study, both the participants and the researchers are unaware. Blinding can help reduce bias by preventing expectations from influencing the results.

Confounding occurs when the effect of one variable on the outcome cannot be separated from the effect of another variable. This can lead to incorrect conclusions about the relationship between the variables of interest. For example, in a study looking at the relationship between coffee consumption and heart disease, age could be a lurking variable that affects both coffee consumption and the risk of heart disease. If age is not controlled for, it could lead to a false conclusion about the relationship between coffee consumption and heart disease.

Random assignment is a technique used in experimental studies to assign participants to different treatments or conditions at random, which helps to ensure that the groups are similar in all aspects except for the treatment or condition. This reduces the potential for confounding and helps to establish a causal relationship between the treatment or condition and the outcome.

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

\(\blue\textsf{\textbf{Question:-}}}\)

What is the equation of the line passing through (5,0) with a slope of 2/5?

\(\blue\textsf{\textbf{Answer and Solution:-}}}\)

First let's write the equation in point-slope form:-

y-y1=m(x-x1)

Substitute the values:-

y-0=2/5(x-5)

Now convert to slope intercept:-

y-0=2/5x-2

Which simplifies to:-

y=2/5x-2

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

Answer:

40cm

Step-by-step explanation:

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

10000=25x10xHeight

10000=250H. (divide both side by 250 to remain with H only)

10000/250=250H/250

40cm=Height

The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

\(\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}\)

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The x component of the vector is 16.24m

The components of a vector in two dimension coordinate system are the parts of vectors generated along the axes(x and y) and are considered to be x-component and y-component. It can be represented as, (Vx, Vy), where V is the vector.

The x component of a vector V is Vcos¢

where¢ is the angle of vector

the positive equivalent angle of - 96.3 is 83.7°

x component= 148cos 83.7

Vx= 16.24m

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Answer:

w=4x+5

Step-by-step explanation:

14x+4=(3x-3)+(3x-3)+w+w

14x+4=6x-6+2w

8x+10=2w

4x+5=w

Answer:

\(d=3071m\)

Step-by-step explanation:

From the question we are told that:

Dimension Of rectangle

Length \(l=750m\)

Breath \(b=500m\)

Velocity \(v=140kmh\)

Generally the equation for distance travel by Marsol once round the Circle is is mathematically given by

 \(d=2(l)+2(arc\ of\ the\ semi\ circle)\)

 \(d=2(l)+2( 2\pi r (\frac{\theta}{360}))\)

Where

 \(r=\frac{b}{2}\)

 \(r=\frac{500}{2}=>250\)

And

 \(\theta=180\)

Therefore

 \(d=2(750)+2( 2\pi 250 (\frac{180}{360}))\)

 \(d=3071m\)

A property of equality that you should apply to keep the equation 22 . a = 242 in balance when solving include the following: A. The division property of equality.

In Mathematics and Geometry, the subtraction property of equality states that the two (2) sides of an algebraic expression or equation would still remain equal even when the same number has been subtracted from both sides of an equality.

Based on the information provided above, we can logically deduce the following equation:

22 . a = 242

22 × a = 242

By applying the division property of equality, we have the following:

a = 242/22

a = 11.

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Answer:

2:50

Step-by-step explanation:

On an ordinary clock, there are 24 hours.

1)  6/24 = 0.25   (The percentage in which the day has passed)

2) 10 (total hours in a day in the decimal clock) * x 0.25 = 2.50

3) 2.5 Hours. On a typical clock, that would read 2:30, however, because the decimal clock proposes that there are 100 minutes in one hour, it will be 2:50, Therefore, the clock will display 2:50

The time that is shown in a decimal clock when it is 6 am in the ordinary clock is 2:30 am.

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,

Decimal clock:

One day = 10 hours

Ordinary clock:

One day = 24 hours

6 am is the first quarter of the day.

This means,

There are 4 quarters in a day.

So,

One quarter is 6 hours.

Now,

Number of hours in one quarter in the decimal clock

= 10/4

= 2.5 hours

This means,

2:30 am when it's 6 am in the ordinary clock.

Thus,

The time shown in the decimal clock is 2:30 am.

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The interest rate, to the nearest hundredth of a percent, that would be required in order for Mohal to end up with $1,110 would be = 4.2%

The interest rate of an investment is defined as the rate at which an individual receives stipulated amount of money for a period of time over the investment made.

The amount for investment (P) = $830

The time for investment(T) = 8 years

The simple interest yield(SI) = $1,110 -830 = 280

The rate(R) = x%

using the formula;

Simple interest = P×T×R/100

Make R the subject of formula;

R= SI ×100/P×T

R= 280×100/830×8

R= 28000/ 6,640

R= 4.2%

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9514 1404 393

Answer:

  2

Step-by-step explanation:

The steps in x are 1 -(-2) = 3, and the steps in y are -5 -(-11) = 6. The "rate of change" is the ratio of the change in y to the change in x:

  m = ∆y/∆x = 6/3 = 2

The rate of change represented by the values in the table is 2.

_____

Additional comment

The table can be described by ...

  y = 2x -7

Answer:

90 degrees

Step-by-step explanation:

Given the trig expression cos x ( cos x - 2) = 0, we are to find the value of x;

The expression can also be expressed as;

cos x = 0 and cos x - 2 = 0

If cos x = 0

x = cos^-1 0

x = 90

Hence the value of x is 90 degrees

Note that if cos x = 2, then x does not exist in this case