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3 years ago

Solve the inequality 56>=4y

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

5 0

56>=4y
56/4>=4y/4
= y<=14
Cheers,Irys

PtichkaEL [24]3 years ago

4 0

56 ≥ 4y
(56/4) ≥ (4/4)y
14 ≥ y

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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 $z$

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

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=>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

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Step-by-step explanation:

let the first piece be x then the second would be 4x and third 5x

x+4x+5x=60

10x=60

x=60/10=6

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3 0

3 years ago

The summer has ended and it's time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

jek_recluse [69]

Answer:

a) -900 L/min

b) 63000 L

c) -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, V) = (20, 45000) and (70, 0)

The rate of change of volume

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b) In the first 20 minutes, the change in volume was

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c) Since we have the slope and the intercept, we can write the equation in slope-intercept form as

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d) now putting the number in the equation and do the arithmetic.

When t=62, the amount remaining is

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Thus, 7200 L remain after 62 minutes.

4 0

3 years ago