Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️
Answer:
3.
a=-1
a=-2
5.
n=-6
n=-3
8.
n=-5
n=-3
Step-by-step explanation:
3. separate into probable cases
[tex]a + 2 = 0\\ a + 1 = 0[/tex]
5.
[tex] {n}^{2} + 6n - 3n - 18 = 0 \\ [/tex]
factor out n from the expression
factor out -3 from the expression
[tex]n \times (n + 6) - 3(n + 6) = 0[/tex]
factor out n+6 from the equation
[tex](n + 6) \times (n - 3) = 0[/tex]
separate into probable cases
[tex]n + 6 = 0\\ n - 3 = 0[/tex]
solve the equations
[tex]n = - 6 \\ n = 3[/tex]
8.
[tex]n ^{2} + 5n + 3n + 15 = 0[/tex]
factor out n and 3 from the expression
[tex]n \times (n + 5) + 3(n + 5) = 0[/tex]
factor out n+5
[tex](n + 5) \times (n + 3) = 0[/tex]
separate into probable cases
[tex]n + 5 = 0 \\ n + 3 = 0[/tex]
solve the equations
[tex]n = - 3 \\ n = - 3[/tex]
At a picnic, there is a 5-gallon drink
dispenser filled with juice. Juice is served
in cups that each hold 8 fluid Ounces when
they are full. What is the greatest number
of cups that can be served?
Answer:
80 cups
Step-by-step explanation:
There are 640 ounces in 5 gallons so,
640 divided by 8 equals 80, therefore,
The greatest number of cups that can be served are 80
A contract between a manufacturer and a consumer of light bulbs specifies that the mean lifetime of the bulbs must be at least 1000 hours. As part of the quality assurance program, the manufacturer will institute an inspection program for each day's production of 10,000 units. An ordinary testing procedure is difficult since 1000 hours is over 41 days! Since the lifetime of a bulb decreases as the voltage applied increases, a common procedure is to perform an accelerated lifetime test in which the bulbs are lit using 400 volts (compared to the usual 110 volts). At such a voltage, a 1000-hour bulb is expected to last only 3 hours. This is a well-known procedure, and both sides have agreed that the results from the accelerated test will be a valid indicator of lifetime of the bulb.
The manufacturer will test the hypotheses H0 : µ = 3 versus Ha: µ < 3 at the α = 0.01 significance level with a simple random sample of 100 bulbs.
a. Describe what a Type I error would be in this context.
b. Describe what a Type II error would be in this context.
c. Which error—Type I or Type II—is likely to do more damage to the manufacturer’s relationship with the consumer? Explain.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point a:
In this sense, describe what type of error I will be.
Type I error: to conclude that perhaps the mean bulb life would be less than three hours when it becomes (at least) 3 hours.
In point b:
Describe throughout this context what the Type II error becomes.
An error of type II: never assuming that its bulbs' mean lifetime is much less than 3 hours. three hours at least
In point c:
What error — type I and type II — would further impact the interaction between the manufacturer and the customer?
A Type II error is probably further problematic because it means that even the buyer will buy bulbs that do not last long.
What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high?
Answer:
5:4
Step-by-step explanation:
10/2:8/2= 5:4
According to a recent warning from the FDA, grain-free food might be giving dogs a life- threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure between four different food types (expensive grain-free dog food, cheap grain-free dog food, expensive dog food with grain included, and cheap dog food with grain included). What hypothesis test would be appropriate for analyzing the above scenario?
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Answer:
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Step-by-step explanation:
The number of polar bears in a region is decreasing by 5% per year There are 3000 polar bears in the region in 2017 What year will be the first year with less than 1000 polar bears in the region
Answer:
2031
Step-by-step explanation:
3000divide100=30x5=150x14=2100
2017+14=2031 w
In 2031 years, the first year with less than 1000 polar bears in the region.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The number of polar bears in a region is decreasing by 5% per year.
And, There are 3000 polar bears in the region in 2017.
Let after x years there are less than 1000 polar bears in the region.
Hence, We can formulate;
⇒ 3000 - 5% of 3000 × x < 1000
⇒ 3000 - 5/100 × 3000 × x < 1000
⇒ 3000 - 150x < 1000
⇒ 3000 - 1000 < 150x
⇒ 2000 < 150x
⇒ 2000/150 < x
⇒ 13.33 < x
So, The first year with less than 1000 polar bears in the region is getting after 14 years.
So, The value of years = 2017 + 14
= 2031
Learn more about the mathematical expression visit:
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4. Aaliyah swims at an average speed of 8 meters per second, how long will it
take her to complete the race of 200 meters' length? *
Who is smart enough to know this answer ?
Help please!!! Brainliest immediately!
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in wide, 72 in high, and 24 in deep.
Which size refrigerator would be the BEST fit for the available space?
Answer:
B
Step-by-step explanation:
Jamie wants to treat some friends to lunch. He has $40 and knows the lunch will cost about $7 per person p. How many people can Jamie buy lunch for.
Answer:
5 people
Step-by-step explanation:
40/7=5.71
Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300. Represent the data using matrices and use matrix multiplication to find the total revenue.
me Q i did not know somebody Help My frann
glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
Answer: 6804
Step-by-step explanation: If each glass holds 189 milliliters of juice and there are 36 glasses simply do 189*36, which is 6804
Griffins's driveway is 30 feet long.
Choose the word and number to complete the sentence correctly.
To convert 30 feet to yards
?
30 by
?
.
Answer:
10 yards
Step-by-step explanation:
What does 5 mean? What is the value of 5
Find X using these two
24x-19
16x+13
Step-by-step explanation:
24x-19=0
24x=19
x=19/24
16x+13=0
16x=-13
x=-13/16
find the value of v in rectangle
Answer:
Step-by-step explanation:
7v = v+12
6v = 12
v = 2
The security code to your home security system includes three single digit numbers 2.
and two letters. Repetition is allowed for the numbers but not allowed for the letters.
There is about 866 possible combinations. (please mark brainiest)
Hi guys, how to calculate this in system?
{2a+3b=14
{5b+4a=20
Thanks,
Step-by-step explanation:
there it is
and if u need more help tell me
77006
75863
Subtract
Answer:
1143
Step-by-step explanation:
A composite figure has three congruent triangles removed from it.
What is the area of the shaded region?
O 98ft
O 128ft
O 160ft
O 192ft
The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.
7+3x+4 =
Answer:
-3.6
Step-by-step explanation:
Simplifying
7 + 3x + 4 = 0
Reorder the terms:
7 + 4 + 3x = 0
Combine like terms: 7 + 4 = 11
11 + 3x = 0
Solving
11 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11
Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11
Combine like terms: 0 + -11 = -11
3x = -11
Divide each side by '3'.
x = -3.666666667
Simplifying
x = -3.666666667
Someone help please I can’t seem to get this one and its my last one
Answer:
345 cm squared I believe
I'm not 100% sure
I'm gonna send you a picture of it
Answer:
Of whaT?
But thanks for the free points
help someone please
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Answer:
0=26
Step-by-step explanation:
Distribute
3(4−2)−5=6−7(−−2)
12−6−5=6-7(-x−2)
Combine like terms
12−6−5=6−7(−−2)
7−6=6−7(−−2)
Distribute
7−6=6−7(−−2)
7−6=6+7x+14
Answer
0=26
The solution to the equation 3 (4x - 2) - 5x = 6 - 7 (-x -2) does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Open the brackets
So, we have
12x - 6 - 5x = 6 + 7x + 14
Evaluate the like terms
So, we have the following representation
7x - 6 = 7x + 20
Next, we have
7x - 7x = 20 + 6
So, we have
0 = 26
This is false
Hence, the solution is no solution
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What is the average rate of change for f(x) = 2X – 12 over the interval 4sxs8?
A)
10
B)
30
60
D
90
Answer:
Step-by-step explanation:
I think its B, (30)
Ms. Marcus purchased 5 pounds of grapefruit for $4.90. At this price how much will 7 pounds of grapefruit cost?
Answer: I thinnk the answer is 6.86
4.90 divided by 5=0.98
0.98 times 7=6.86
Step-by-step explanation:
3(n – 8) = -12 solve for n
plz i need the answer ASAP
Answer:
Step-by-step explanation:
The math department recently purchased new learning software for their freshman math classes. The instructors want to use the learning software instead of a textbook. So they decide to study the effectiveness of the software. First they test the skills and concept mastery for a number of the freshman math students. Then they randomly divide the students into two groups. One group uses the learning software for a particular lesson and the other group uses the regular textbook. Then the instructors retest all of the students and compare the improvement in the skills and concept mastery for the two groups. What is the purpose of random assignment in this experiment? Check all that apply.
Options :
A.) To avoid bias
B. To control for confounding variables
C. To produce treatment groups with similar characteristics
D. To generalize the experiment results to all freshman math students
Answer:
To avoid bias
To generalize the experiment results to all freshman math students
Step-by-step explanation:
One of the most common problems with statistical experimental research is the issue posed by bias. Either selection bias or assignment bias. Bias creeps into our experiment when one experimental group is more favored than the other. This means that the strategy employed is not totally random. In the experimetal design explained above, students were randomly assigned to group in other to avoid bias. This random assignment ensures that all samples have equal probability of being assigned to any of the two groups.
Randomized experimental designs also allows for making a good estimate of the population parameter fromnthe sample statistic
1. Two more than the product of 3 and a number is -7.
Answer: -3
Step-by-step explanation:
2 + 3(x) = -7
-2 -2
-----------------------
3x = -9
x = -3