Answer:
Step-by-step explanation:
The solution to this problem is a graph.
Graph y ≥ 12x - 1: this is a straight solid line with slope 12 and y-intercept -1. Due to the presence of the ≥ operator, we must shade (darken) the entire area above this line.
Next, graph y < 43x – 2 using a dashed line (due to the < operator): The slope is 43 and the y-intercept is -2.
Determine where the two lines intersect, either from the graph or algebraically. If algebraically:
equate the two givens:
y = 12x - 1 = y = 43x – 2, which simplifies first to:
12x - 1 = 43x - 2, and second to
1 = 43x - 12x = 31x, which results in x = 1/31.
Substituting 1/31 for x in the first equation, we get:
y = 12(1/31) - 1, or y = 12/31 - 1, or y = 12/31 - 31/31, or y = 19/31
The two graphs intersect at (1/31, 19/31)
Shade (darken) the area beneath (under) the dashed line y < 43x – 2.
The solution is the area that you have darkened twice.
Find the value of x 6x+2-2x=3x+14-x
Step-by-step explanation:
x will equal 6
hope this helps bro if u need the explanation I'll explain to u if needed
6x + 2 - 2x = 3x + 14 - x
6x - 2x + 2 = 3x - x + 14
4x + 2 = 2x + 14
4x - 2x = 14 - 2
2x = 12
x = 12/2
x = 6
The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 24.2 \ gallons \ per \ year[/tex]
The sample size is n = 101
The sample mean is [tex]\= x = 23.5 \ gallons\ per\ year[/tex]
The standard deviation is [tex]\sigma = 3.2 \ gallons[/tex]
The null hypothesis is [tex]H_o : \mu = 24.2[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]
=> [tex]z = -2.198[/tex]
From the z table the area under the normal curve to the left corresponding to -2.198 is
[tex]P(Z < -2.198 ) = 0.013975[/tex]
Gnerally the p-value is mathematically represented as
[tex]p-value = 0.013975 * 2[/tex]
=> [tex]p-value = 0.02795[/tex]
From the value obtained we have that [tex]p-value \ < \ \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Using the Rejection Regions for a z-test method
Generally from the z table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]z_{critical} = \pm 1.96[/tex]
Not we are using [tex]\frac{\alpha }{2}[/tex] because it is a two - tailed test
Now comparing the critical value and the test statistics we see that the
region covered by the test statistics (i.e [tex]2.198 < z < -2.198[/tex]) is greater than the region covered by the critical value (i.e [tex]1.96 < z < -1.96[/tex])
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Dan earns £9.90 per hour. How much will he earn for 4 hours work?
Answer:
39.60
Step-by-step explanation:
9.90 x 4 = 39.60
HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture
Answer:
-5+2
Step-by-step explanation:
Answer:
I would say 6 cm too, also can anyone help me on my math? its powers and exponents
What is the original price of the box of cereal?
Answer:
$3.20
Step-by-step explanation:
Hi if i have 8,000 saving for 12,000 how much more do i need?
Answer: 4,000
Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)
11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2
Answer:
20 ÷ 10 = 2
or
20 ÷ 2 = 10
Step-by-step explanation:
multiplication is the opposite of division
-8+12 divided by 2 + (-14)
Answer:
-16
Step-by-step explanation:
Answer:
the answer is negitive 12 or -12
Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: Decimal: Percent: %
Answer:
Fraction = [tex]\frac{19}{50}[/tex]
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area = [tex]\frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}[/tex]
= [tex]\frac{38}{100}[/tex]
= [tex]\frac{19\times 2}{50\times 2}[/tex]
= [tex]\frac{19}{50}[/tex]
Decimal form of the shaded area = [tex]\frac{38}{100}[/tex] = 0.38
Percent of the shaded area = [tex]\frac{38}{100}[/tex] = 38%
Answer:
Fraction =
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area =
=
=
=
The decimal form of the shaded area = = 0.38
Percent of the shaded area = = 38%
you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10
Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?
Answer:
Two hours
Step-by-step explanation:
1/4 = 1/2
2/4 = 1
3/4 = 1 1/2
4/4 = 2
Carl is the beneficiary of a $29,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 7-year period in equal installments at the end of each year. If the fund earns interest at the rate of 4%/year compounded annually, what amount will he receive each year?
Answer:
$8,939.58
Step-by-step explanation:
Let x represent the amount to be received each year
==> x * Present value annuity factor (4%,7yrs) = $29,000
==> x * 3.240 = $29,000
==> x = $29,000/3.244
x = 8939.580764488286
x = $8,939.58
So, $8,939.58 is the amount he will receive each year.
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling $7,435,000. The costs associated with each project were: Project 1: $1,245,000 Project 2: $985,689 Project 3: $1,723,000 Project 4: $2,567,054 Project 5: $633,768 How much profit did the company earn?
Answer:
the Profit earned by the company is $280,489
Step-by-step explanation:
Total Cost of 5 projects awarded = $7,435,000
Cost of Project 1 = $1,245,000
Cost of Project 2 = $985,689
Cost of Project 3 = $1,723,000
Cost of Project 4 = $2,567,054
Cost of Project 5 = $633,768
We need to find the profit earned by the company.
First we need to find Total cost spent on all 5 projects.
It can be found by adding cost spent on all projects.
Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5
Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768
Total cost spent on all 5 projects = $7,154,511
Now we can calculate profit earned using formula:
Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects
Profit earned = $7,435,000 - $7,154,511
Profit earned = $1,280,489
So, the Profit earned by the company is $280,489
Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?
Answer:
85.50+15.39=100.89 dollars
Step-by-step explanation:
First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D
Need help Pronto! Will give braintliest.
Answer:
the answer is 45 I believe because it is the same exact as j
−8/9 ⋅ 5/6
What is the product in simplest form?
Fractions btw
Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?
Answer:
Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.
Step-by-step explanation:
In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made. Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation 6c - 2.4. Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8. We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8. Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2
You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns?
Answer:
I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9
Step-by-step explanation:
You multiply 3 x 18 and 9 x 18
Im sorry if im wrong but i dont know what you were asking
what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5
Answer:
y=-5x+2
Step-by-step explanation:
desmos
also -5= the slope and 2 was the y intercept aka B you had all Pieces
Simplify by using the o
3–8(4-9)=
Answer:
-51
Step-by-step explanation:
3-24+72=0
75-24=0
51=0
If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4
Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .
Answer:
COEFFICENT
Step-by-step explanation:
What is 18 percent of 210?
Answer:
WN=37.8
Step-by-step explanation:
WN=18%*210
WN=0.18*210
WN=37.8
WILL GIVE BRAINLIEST
Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?
Answer:
You will have $1314.27
Step-by-step explanation:
A=1200(1+2.3/100)^4
A=1200(1.0952)
A=$1314.27
Explain how could use 8 + 8 to find the sum
Answer:
its 16
Step-by-step explanation:
Do y’all know the answer ?
Answer:
700
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because it 719,283 so you have to look at the 71 for this equation and sense the 1 is in higher then 5 it stays the same
hope that helps :)
-26=b-13
Plz answer I’m a month late on this test
Answer:
B = -13
Step-by-step explanation:
Add 13 to both sides
- 13 = b
I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet
Answer:
2.5 feet
Step-by-step explanation:
20/8=2.5