The length of a flag is 0.3 foot less than its width. If the perimeter is 14.4 feet longer

Please help me in questions 15 and 21 with their inequalities and graph

aleksklad [387]

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

21) 3 + 2n <= -3 AND 1 - 3n < 19

2n <= -3 -3 AND -3n < 19 - 1

2n <= -6 AND -3n < 18

n <= -3 AND 3n > -18

n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

8 0

2 years ago

MR MARK MARKS HIS CLASS ON A NORMAL CURVE. THOSE WITH z-SCORES ABOVE 1.8 WILL RECEIVE AN A, THOSE

lukranit [14]

Using the normal distribution, it is found that the percentages are given as follows:

3.59% of the grades will be A.

9.98% of the grades will be B.

74.92% of the grades will be C.

8.64% of the grades will be D.

2.87% of the grades will be F.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The prorportion of students who receive an A is one subtracted by the p-value of Z = 1.8.

Looking at the z-table, Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359.

3.59% of the grades will be A.

For B, it is the p-value of Z = 1.8 subtracted by the p-value of Z = 1.1, hence:

0.9641 - 0.8643 = 0.0998.

9.98% of the grades will be B.

For C, it is the p-value of Z = 1.1 subtracted by the p-value of Z = -1.2, hence:

0.8643 - 0.1151 = 0.7492.

74.92% of the grades will be C.

For D, it is the p-value of Z = -1.2 subtracted by the p-value of Z = -1.9, hence:

0.1151 - 0.0287 = 0.0864.

8.64% of the grades will be D.

For F, it is the p-value of Z = -1.9, hence 2.87% of the grades will be F.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

7 0

1 year ago

Please help 5 questions I need help

creativ13 [48]

Answer:

1. <2, <7

2. 58

3. 78

4. a and b

h5. <2 and <7 ( i think this is the same question as the first one)

Step-by-step explanation:

2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)

2x + 7 = 123, subtract 7

2x = 116, divide 2 for both sides to make x by itself

x = 58

3. 78 because of consecutive interior angles

4 0

2 years ago

An element with mass 670 grams decays by 27.3% per minute. How much of the element is remaining after 9 minutes, to the nearest

ArbitrLikvidat [17]

There will be 38 grams remaining.

The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time. Using our values from the problem, we have:

y = 670(1-0.273)^9 = 670(0.727)^9 = 38

6 0

2 years ago

Read 2 more answers

Elizabeth works for Picasso paint supplies. Her annual salary is $72,580. What is Elizabeth’s annual social security deduction?

Nikolay [14]

Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than $128,400, there will be no deduction.

8 0

3 years ago