Find the measure of x.

There are 50 chairs in the auditorium. 15 of the chairs are red and the rest are blue. What is the ratio of the number of blue c

navik [9.2K]

Answer: 7:3

Step-by-step explanation:

15 chairs are red

35 are blue

35:15

Simplifies to

7:3

7 0

2 years ago

Lots took one hour to drive from his apartment to philips arena and back. the return drive took 8 minutes less than the trip to

noname [10]

The equation would use to determine how long he drove each way is 2x - 8 = 60.

<h3>What is the equation?</h3>

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.

Since the return trip took 8 minutes less, the complete equation must be written in minutes.

Here x - 8 represents the time it took to return to Philips Arena.

The total travel time, including both directions, was 60 minutes;

thus, add x and x - 8 and set them both equal to 60.

So 2x - 8 = 60

Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.

Learn more about the equation here:

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6 0

1 year ago

an entrepreneur buys some microscopes. Each one costs $700 and resells online for $959. What percentage is the mark-up?

tester [92]

Answer:

72.99%

Step-by-step explanation:

7 0

2 years ago

Use the distributive property to write an equivalent expression.<br> 2(8v+2)

andreyandreev [35.5K]

Answer:

16v+4

Step-by-step explanation:

2(8v+2) = 16v+4

4 0

1 year ago

A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r

olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

$p_{1} = \frac{360}{390} = 0.9230$

second sample proportion

$p_{2} = \frac{47}{52} = 0.9038$

Step(ii):-

Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

$Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }$

P = 0.920

$Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}$

Test statistic Z = 0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

7 0

2 years ago