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1 year ago

12x+7<−11 AND5x−8≥4012

Mathematics

2 answers:

Arte-miy333 [17]1 year ago

8 0

Answer:

No solution

Step-by-step explanation:

Given: $12x+7$ and $5x-8\geq 40$

Solve both inequality separately.

$12x+7$ Subtraction property of inequality

$12x$

$x$

and

$5x-8\geq 40$ Addition property of inequality

$5x\geq 40+8$

$5x\geq 48$

$x\geq \dfrac{48}{5}$

Hence, the solution of the compound inequality intersection of both solutions.

Please find attachment for number line solution.

No solution

Law Incorporation [45]1 year ago

6 0

Answer:

No Solution

Step-by-step explanation:

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In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a windo

Snowcat [4.5K]

Answer:

Step-by-step explanation:

If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.

We would set up the hypothesis test.

For the null hypothesis,

p = 0.45

For the alternative hypothesis,

p > 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 492

n = number of samples = 806

P = 492/806 = 0.61

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24

From the normal distribution table, the p value < 0.00001

Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.

8 0

1 year ago

Algebra. Find the variable in the equation 803 divided by 73=m

weeeeeb [17]

<u>Answer:</u>

The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.

<u>Solution:</u>

Need to find the variable in the given equation 803 divided by 73 = m

That means need to solve below expression to determine value of variable m.

$\frac{803}{73}=m$

So let’s solve left hand side to get the value of m.

For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.

$\begin{array}{l}{803=73 \times 11} \\\\ {73=73 \times 1} \\\\ {=>\frac{803}{73}=\frac{73 \times 11}{73 \times 1}=11}\end{array}$

Hence value of variable m is equal to 11.

8 0

1 year ago

Find the arc length of AB. Round your answer to the nearest hundredth.

Fantom [35]

The arc length of AB is 8 m (app.)

Explanation:

Given that the radius of the circle is 8 m.

The central angle is 60°

We need to determine the arc length of AB

The arc length of AB can be determined using the formula,

$arc \ length=\frac{central \ angle}{360^{\circ}} \times circumference$

Substituting central angle = 60° and circumference = 2πr in the above formula, we get,

$arc \ length=\frac{60^{\circ}}{360^{\circ}} \times 2 \pi(8)$

Simplifying the terms, we get,

$arc \ length=\frac{8 \pi }{3}$

Dividing, we get,

$arc \ length=8.37758041$

$arc \ length=8(app.)$

Hence, the arc length is approximately equal to 8.

Therefore, the arc length of AB is 8 m

5 0

2 years ago

Sakura speaks 150150150 words per minute on average in hungarian, and 190190190 words per minute on average in polish. she once

tamaranim1 [39]

We have:
in hungarian:
h = 150 words / min
in polish:
190 words / min
Let:
x: number of words in Hungarian.
y: number of words in Polish.
We have the following system of equations:
(1/150) * (x) + (1/190) * (y) = 5
y = x + 270
The solution is:
x = 300 words
y = 570 words
Therefore the time speaking in each language is:
in hungarian:
(1/150) * (300) = 2 min
in polish:
(1/190) * (570) = 3 min
Answer:
in hungarian: 2 min
in polish: 3 min

8 0

2 years ago

marty has 80 to spend at a sporting goods store. he will spend 56 on a shirt, and then buy some darts. each box of darts cost 6.

Mariana [72]

Next time, Shay, please include the instructions. I'm assuming that our job here is to determine the largest # of boxes of darts that can be purchased.

Shirt cost + x(box of darts cost) = Initial amount

$56 + x($6/box) = $80

Then 56 + 6x = 80, or 6x= 24, or x = 4. He can buy 4 boxes of darts.

8 0

2 years ago