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aivan3 [116]
3 years ago
6

What is the valuable of x in the equation 1.8-3.7x=-4.2x+0.3

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

1.8 - 3.7x = -4.2x + 0.3

add -4.2x to both sides

1.8 - 0.5x = 0.3

subtract 1.8 from both sides

-0.5x = 0.3 - 1.8

-0.5x = -1.5

divide by -0.5 on both sides

x = 3

GREAT JOB!!!! YOU GOT IT!!! =)

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In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha
Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = 0.21

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}

0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a
Lisa [10]

Answer:

12 inches

Step-by-step explanation:

Given

\theta = 31^{\circ}

diagonal = 23.3\ in

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

sin \theta = \frac{opp}{hyp}

This gives:

sin 31^{\circ}= \frac{h}{23.3}

Make h the subject

h = 23.3 * sin(31^{\circ)

h = 23.3 * 0.5150\\

h = 11.9995

h = 12\ inches

7 0
3 years ago
Read 2 more answers
Find the L.C.M of 6,9​
Oxana [17]

Answer:

Lcm=18

Step-by-step explanation:

First do prime factorization of 6 and 9

common factor of 6 is 3

and remaining factor is 2×3

Now,

C.F×R.F= 3×2×3

=18

6 0
2 years ago
An athlete ran 800 meters in 160 seconds. What was his rate in meters per minute? Enter your answer in the box.
FromTheMoon [43]

The athlete's average speed was 300 meters/minute.

<h3>How to calculate the speed of the athlete?</h3>

To calculate the speed of the athlete we must perform the following operations.

Divide the distance into the total time:

  • 800m ÷ 160sec = 5m/sec

Transform the value from seconds to minutes, for which we must multiply 5 by 60 because each minute is made up of 60 seconds.

  • 5m/sec × 60sec = 300m/min

According to the above, the average speed of the athlete is 300m/min.

Learn more about speed in: brainly.com/question/7359669

3 0
1 year ago
What is the area of this figure​
MAVERICK [17]

Answer:

57

Step-by-step explanation:

7-3=4

3x4=12/3=4

do that two times because there is two triangles

7x7=49

4+4+49=57

8 0
3 years ago
Read 2 more answers
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