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3 years ago

PLEASE HELP ME I NEED HELP PLEASE HELP PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO

Mathematics

2 answers:

Luba_88 [7]3 years ago

8 0

Answer:

A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours

Liono4ka [1.6K]3 years ago

4 0

Answer:

6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)

360 feet in 5 minutes = 72 feet in 1 minute

7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)

$14 for 20 ounces = $0.70 for 1 ounce

8. 72 people in 6 hours = 12 people in 1 hour

117 people in 9 hours = 13 people in 1 hour (greater rate per hour)

You might be interested in

An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?

tatyana61 [14]

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

$x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3$

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

4 0

3 years ago

Given p (a) = 0.45, p (b) = 0.30, p (a ∩<br> b.= 0.05. find p (a|b).

Mice21 [21]

Use the conditional probability formula, P(a|b) = P(a and b)/P(b)

7 0

3 years ago

What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radio is 2:3?

gtnhenbr [62]

The answer will be a because they are similar and by law the ratio can be cubed to find ratio of volume

6 0

4 years ago

3/a times x-4=20<br> What is x?

spin [16.1K]

Answer:

Step 1 :

Simplify —

Equation at the end of step 1 :

((— • x) - 4) - 20 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using a as the denominator :

4 4 • a

4 = — = —————

1 a

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (4 • a) 3x - 4a

———————————— = ———————

a a

Equation at the end of step 2 :

(3x - 4a)

————————— - 20 = 0

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using a as the denominator :

20 20 • a

20 = —— = ——————

1 a

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(3x-4a) - (20 • a) 3x - 24a

—————————————————— = ————————

a a

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x - 24a = -3 • (8a - x)

Equation at the end of step 4 :

-3 • (8a - x)

————————————— = 0

Step 5 :

When a fraction equals zero :

5.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-3•(8a-x)

————————— • a = 0 • a

Now, on the left hand side, the a cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

-3 • (8a-x) = 0

Equations which are never true :

5.2 Solve : -3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

5.3 Solve 8a-x = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axisThe X and Y intercepts and the Slope are called the line properties. We shall now graph the line 8a-x = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of a is 0/8 so this line "cuts" the a axis at a= 0.00000

a-intercept = 0/8 = 0.00000

Calculate the X-Intercept :

When a = 0 the value of x is 0/-1 Our line therefore "cuts" the x axis at x=-0.00000

x-intercept = 0/-1 = -0.00000

Calculate the Slope :

Slope is defined as the change in a divided by the change in x. We note that for x=0, the value of a is -0.000 and for x=2.000, the value of a is 0.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.250 - -0.000 = 0.250 in a. (The change in a is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 0.250/2.000 = 0.125

Geometric figure: Straight Line

Slope = 0.250/2.000 = 0.125

x-intercept = 0/-1 = -0.00000

a-intercept = 0/8 = 0.00000

Step-by-step explanation:

8 0

3 years ago

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal pla

svp [43]

Here is the correct computation of the question given.

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of men aged 60-69.

Men aged 20-29: 117 122 129 118 131 123

Men aged 60-69: 130 153 141 125 164 139

Group of answer choices

Men aged 20-29: 4.8%

Men aged 60-69: 10.6%

There is substantially more variation in blood pressures of the men aged 60-69.

Men aged 20-29: 4.4%

Men aged 60-69: 8.3%

There is substantially more variation in blood pressures of the men aged 60-69.

Men aged 20-29: 4.6%

Men aged 60-69: 10.2 %

There is substantially more variation in blood pressures of the men aged 60-69.

Men aged 20-29: 7.6%

Men aged 60-69: 4.7%

There is more variation in blood pressures of the men aged 20-29.

Answer:

(c)

Men aged 20-29: 4.6%

Men aged 60-69: 10.2 %

There is substantially more variation in blood pressures of the men aged 60-69.

Step-by-step explanation:

From the given question:

The coefficient of variation can be determined by the relation:

$coefficient \ of \ variation = \dfrac{standard \ deviation}{mean}*100$

We will need to determine the coefficient of variation both men age 20 - 29 and men age 60 -69

To start with;

The coefficient of men age 20 -29

Let's first find the mean and standard deviation before we can do that ;

SO .

Mean = $\dfrac{\sum \limits^{n}_{i-1}x_i}{n}$

Mean = $\frac{117+122+129+118+131+123}{6}$

Mean = $\dfrac{740}{6}$

Mean = 123.33

Standard deviation $= \sqrt{\dfrac{\sum (x_i- \bar x)^2}{(n-1)} }$

Standard deviation = $\sqrt{\dfrac{(117-123.33)^2+(122-123.33)^2+...+(123-123.33)^2}{(6-1)} }$

Standard deviation = $\sqrt{\dfrac{161.3334}{5}}$

Standard deviation = $\sqrt{32.2667}$

Standard deviation = 5.68

The $coefficient \ of \ variation = \dfrac{standard \ deviation}{mean}*100$

$coefficient \ of \ variation = \dfrac{5.68}{123.33}*100$

Coefficient of variation = 4.6% for men age 20 -29

For men age 60-69 now;

Mean = $\dfrac{\sum \limits^{n}_{i-1}x_i}{n}$

Mean = $\frac{ 130 + 153 + 141 + 125 + 164 + 139}{6}$

Mean = $\dfrac{852}{6}$

Mean = 142

Standard deviation $= \sqrt{\dfrac{\sum (x_i- \bar x)^2}{(n-1)} }$

Standard deviation = $\sqrt{\dfrac{(130-142)^2+(153-142)^2+...+(139-142)^2}{(6-1)} }$

Standard deviation = $\sqrt{\dfrac{1048}{5}}$

Standard deviation = $\sqrt{209.6}$

Standard deviation = 14.48

The $coefficient \ of \ variation = \dfrac{standard \ deviation}{mean}*100$

$coefficient \ of \ variation = \dfrac{14.48}{142}*100$

Coefficient of variation = 10.2% for men age 60 - 69

Thus; Option C is correct.

Men aged 20-29: 4.6%

Men aged 60-69: 10.2 %

There is substantially more variation in blood pressures of the men aged 60-69.

4 0

3 years ago