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3 years ago

On a map of a park three inches represents twenty feet. how manyinches would represent 12 feet.

1 answer:

6 0

$\bf \begin{array}{ccll} \stackrel{map}{inches}&\stackrel{actual}{feet}\\ \cline{1-2} 3&20\\ x&12 \end{array}\implies \cfrac{3}{x}=\cfrac{20}{12}\implies \cfrac{3\cdot 12}{20}=x\implies \cfrac{9}{5}=x\implies 1\frac{4}{5}=x$

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choli [55]

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2 years ago

in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

makkiz [27]

Answer:

$\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}$

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: $0.05$ , the associated z-value from Laplace table:

Φ( $z$ ) = α - $0.5 = 0.05 - 0.5 = -0.45$

=> $z$ = $-1.645$

Step 2: Define null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ )

$H_{0}$ : rate of flu infection $p$ = 8.3% or 8.3/100 = 0.083

$H_{1}$ : rate of flu infection $p$ < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

$K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}$

with $f$ is actual sampling percent, $p$ is rate of flu infection of $H_{0}$ , $n$ is number of samples.

The null hypothesis will be rejected if $K < z$

Step 4: Calculate the value of K and compare with $z$

$K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46$

We have $-2.46 < -1.645$

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As $H_{1}$ states)

Hope this helps!

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3 years ago

Help pls. I will give brainliest

Iteru [2.4K]

Answer: AC is congruent to PR.

Step-by-step explanation:

Letter A takes the corresponding position as letter P, and letter C takes the corresponding position as letter R in the given congruence statement.

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2 years ago

Is larry stylinson real?

Julli [10]

No BECAUSE I DONT KNOW WHO THAT IS LOL

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3 years ago

Read 2 more answers

3/a times x-4=20 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