All categories

2 years ago

What is the solution to the proportion 42 over 56 equals 12 over x ? x =_______

1 answer:

3 0

42 12
—- = —-
56 x

Simplified:

3 12
— = —-
4 x

Multiply both sides by 4:

3 = 48
—-
x

Multiply both sides by x:

3x = 48

Divide both sides by 3:

x = 16

You might be interested in

Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that

marissa [1.9K]

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error = Measured value – True Value /True value x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

8 0

2 years ago

Of 360 consumers polled some purchased ice cream some purchase frozen yogurt and some purchased both if 260 people polled purcha

Xelga [282]

Total customers are = 360

Number of polled people who purchased ice cream = 260

Number of polled people who purchased both ice cream and yogurt = 250

Hence, people who purchased only ice cream are= $260-250=10$

And $360-10=350$ are people who purchased yogurt.

So, people who purchased yogurt only = $360-(250+10)=100$

8 0

2 years ago

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-hal

vesna_86 [32]

Answer:

B. y - 2 = 1/3(x - 3)

4 0

2 years ago

Read 2 more answers

A truck stops at a gas station where diesel fuel costs $3.99 per gallon. The truck needs 8.8 gallons of diesel for the driver to

Dmitry [639]

36.00 will be enough to pay for fuel because if you multiply the 8.8 gallons of diesel needed by the fuel cost per gallon you get 35.112

6 0

2 years ago

Read 2 more answers

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

5 0

2 years ago