Step-by-step explanation:
[tex]3x + 9 = 3( - 5) + 9 \\ = - 15 + 9 \\ = - 6[/tex]
3x+9 is equals to -6 , not more than based on the inequality, but it is lesser than 21.
However, the solution must fulfil both criteria to be a solution to the inequality. Therefore x = -5 is not a solution to the inequality.
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Answer:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that σ=21 and determine the required sample size.
A sample size of n is needed.
n is found when M = 6. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]
[tex]6\sqrt{n} = 2.575*21[/tex]
Dividing both sides by 3
[tex]\sqrt{n}= 2.575*3.5[/tex]
[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]
[tex]n = 81.2[/tex]
Rounding up:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
what is the GCF of 90, 135, 225
Answer:
45 I believe.* u no ketchup
Pleaseee help (no links)
Answer:
1/8(smallest), 3/4(greatest)
Step-by-step explanation:
3/8=0.375
1/4=0.250
1/8=0.125
1/2=0.500
3/4=0.750
5/8=0.625
Three postal workers can sort a stack of mail in 15 minutes, 15 minutes, and 30 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
min
Answer: 10 minutes
Step-by-step explanation:
x·1/20 + x·1/25 + x·1/100 = 1
Multiply each term by 100 to clear the equation of all fractions
100x/20 + 100x/25 + 100x/100 = 100
5x + 4x + 1x = 100
10x = 100
x = 10
The answer is 10 minutes
What is the width of the juice box?
Answer:
3.99928901529
Step-by-step explanation:
multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529
Translate the statement 'fifty-four minus the product of six and four' into a numeric expression and then evaluate the expression. In the first box, input the expression without evaluating, so your answer should look like 4 ⋅ 2 + 9 . In the second box, put the actual value of the expression, like 17 .
The numeric expression is: __________
The value of the expression is: ____________
Answer:
54-(6x4)
Step-by-step explanation:
6x4=24
54-24=30
The numeric expression is: 54-(6x4)
The value of the expression is: 30
So sorry if I'm wrong.
Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16% pizzas. In the second
hour, she sold 18 pizzas. How many pizzas
does Jacey have left to sell?
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
Kane's Furniture Store advertised a table at a 13% discount. The original selling price was $113, and the sale price was $100. Was the sale price consistent with the
ad? Explain
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. No, the sale price was higher than it should have been
(Round to the nearest cent) __
B. No, the sale price was 5 lower than it should have been
(Round to the nearest cent.)__
C. Yes, the sale price was consistent with the ad, because it represents a 13% discount.
Answer:
A
Step-by-step explanation:
100%=$113 what about 87( 100-13)(113×85)÷100ans is 98.31 which should be the sale price but the sale price is 100 it is $16.90 higherHelp be genuine will mark brainliest
What is the probability of correctly guessing at random exactly 5 correct answers?round your answer to the nearest whole number.
A)5%
B)15%
C)45%
D)75%
Answer: There are 20 sets of numbers in the picture, one set is all 1's, which would be having all 5 answers correct.
Divide 1 by 20 to get 5%.
The answer is A.
Step-by-step explanation:
Kira is building a slide for her kids. If the ladder is 9 feet tall and she wants the bottom of the slide to be 12 feet from the ladder, how long does the slide need to be?
Answer:
ayah
Step-by-step explanation:
3(x-5) = 2(x-5)+x true or false?
Answer:
FALSE
Step-by-step explanation:
In order to solve this equation,
First, we must write it out
3(x - 5) = 2(x - 5) + x
Then, we must use the Distributive Property
3x - 15 = 2x - 10 + x
Next, we must Combine Like Terms
3x - 15 = 3x - 10
Finally, we can Subtract The Coefficients
-15 = -10
Because -15 does not equal to -10, this equation has no solution
IT IS FALSE
if you have more questions, comment me below or add another question
I need help with this
Answer:
sience -2 is to the left of 2
_
. 3
Find the measure of x. (to the nearest tenth)
What ions combine together to form
water in a neutralization reaction?
Answer: it's H^+ and OH^- ions
Step-by-step explanation:
5x +60/x -15x +15/x-20
Answer:
5x-60=x - solution,..........
Answer:
Answer:
5x +60/x -15x +15/x-20
60/x+15/x-15x+5x-20
75/x-10x-20
is your answer
combined liked terms by adding and subtracting.
Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.
Answer:
you did not post a question?
Step-by-step explanation:
if x=8 and y= -3, evaluate the following expression: 20- 5y+ 2x
21 is the answer you are looking for.
Step-by-step explanation:
First, plug in the numbers for the variables:
[tex]20-5(-3) + 2(8)[/tex]
Then use order of operations to solve, begin with parenthesis:
[tex]20-15+16[/tex]
Subtract:
[tex]5 +16[/tex]
Add:
[tex]5+16=21[/tex]
So,
[tex]20-5y+2x=21[/tex]
The correct answer is 21
Write 3.5 times 4 using words ?
Answer:
three point five multiplied by four
Step-by-step explanation:
To write 3.5 times 4 using words, we can say:
"Three point five times four."
We know that, "Three point five" refers to the number 3.5, which is a decimal number.
In words, we read the decimal point as "point."
"Times" indicates multiplication.
When we say "times" between two numbers, it means we are multiplying them together.
"Four" represents the number 4, which is the second number in the multiplication.
so, we have, all together, "Three point five times four" means we are multiplying the decimal number 3.5 by the whole number 4.
The result of this multiplication is 14 because 3.5 times 4 equals 14.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ6
Please someone check how much questions I ask for this please someone help it’s really late we’re I am and I stay every night asking for all I get is links that are not good and people lying about the answer if I don’t do this I Will fail!!!!!! NO LINKS NO LYING
i don't now all of them but
3.is "A"
4.is "C"
* By definition, the sum of the interior angles of a triangle is 180 degrees.
* Keeping this in mind, you have:
As you can see, the sum of the other two angles must be 108 degrees, then, let's add the angles given in each option:
A) 9°+9°=18
B) 26°+46°=72°
C)53°+55°=108°
D)72°+108°=180°
*Therefore, the answer is option C.
5.is "B"
A triangle is called a right triangle when one of it's angles measures 90°.
We have been given the second angle as 14°.
The angles in a triangle add up to 180°.
∴ letting the third angle to be X;
X + 14° + 90° = 180°
X + 104° = 180°
X = 180° - 104°
= 76°
7. the answer is "B"
A = 41 * 14 / 2
A = 574 / 2
A = 287 cm²
So, the area of the trapezoid is 287 cm².
9. is "B"
Area = base x height
Or 356.25=14.25 x Height
Dividing both sides by 14.25
Height =25inches
.Height of the parallelogram is 25 inches. the answer is "B"
10.is "B"
the sum of any 2 sides of a triangle must be greater than the third side
dot plot shows the number of siblings each student has do at least 50% of students have more than 2 siblings? how do you know?
Answer:
Yes, because 2, 3, and 4 siblings added together will pass half of 20 ( the total of everything).
Step-by-step explanation:
-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium
Answer:
mean:-3
median:5
mode: all values appeared once
range:169
Step-by-step explanation:
Which trigonometric function can equal or be
greater than 1.000?
Answer:
option c tangent is equal to 1 at 45°
and greater than 1 at 60° .
what are three different whole numbers whose sum and product are equal?
A+B+C=D
AxBxC=D
Answer:
Answer: The whole numbers for which the products and sum are equal is 1, 2 and 3.
Step-by-step explanation:
Solution: To find the three whole numbers in such a way that their product and sum should be equal. Assume that the three numbers are x, y and z.
Two legs of a right triangle each have
a length of 5 cm. What is the length of
the third side of the triangle, to the
nearest whole number?
Answer:
7cm
Step-by-step explanation:
The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than the width Find the dimensions.
The width of the playing field is 20 ft.
(Type an integer or a decimal.)
Answer:
21 ft by 66 ft
Step-by-step explanation:
From the question,
P = 2(L+W)............... Equation 1
Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.
If the Length of the Field is 45 ft longer than the width,
L = 45+W............ Equation 2
Substitute Equation 2 into equation 1
P = 2(45+W+W)
P = 90+4W............. Equation 3
Given: P = 174 ft.
Substitute into equation 3
174 = 90+4W
4W = 174-90
4W = 84
W = 84/4
W = 21 ft.
Substituting the value of W into equation 2
L = 45+21
L = 66 ft.
Hence the dimensions of the playing field is 21 ft by 66 ft
HELP this is due today!!!Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4. (4 points) 40 42 44 46
Answer:
46
Step-by-step explanation:
7 x 6 + 8 − 16 ÷ 4
42+8-16 ÷4
42+8-4
50-4
46
Answer:
46
Step-by-step explanation:
the answer is 46 may i be marked brainliest?
50% of the 60 shoe options at Baby Steps, a shoe store, are sneakers. How many of the shoe options are sneakers?
Answer:
30
Step-by-step explanation:
50% is equivalent to 0.5 or 1/2. To find how many of the shoe options are sneakers, we multiply the total number of shoe options (60) by 0.5 to get 30.
find the length x
help pls , need asap
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]
cross multiply
3x = 6(4)
3x = 24
divide
x = 8
