Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."
Answer:
I think it's...
[(2 + 10) × 3] + 9
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
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
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
A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48
Answer:
b
Step-by-step explanation:
The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, a motorboat moves across a lake at a constant speed.
Let x be the number of minutes and y be the total distance.
When it begins, it is 48 km from the shore.
Now, (x₁, y₁) =(0, 48)
After 10 minutes, it is 18 km from the shore.
So, (x₂, y₂) =(10, 18)
We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)
= (18-48)/(10-0)
= -30/10
= -3
Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get
48=-3(0)+c
c=48
Substitute, c=48 and m=-3 in y=mx+c, we get
y=-3x+48
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa
Answer:
a=13
Step-by-step explanation:
4a+12-7=6a-21
combine like terms
4a+5=6a-21
sub 4a from each side
5=2a-21
add 21 to each side
26=2a
divide each side by 2
a=13
Answer:
:)
Step-by-step explanation:
a=13
10 points for correct answer and giving brainliest
Answer:
A
Step-by-step explanation:
We know it cant be -6 as that would be a range and since the circle on the end is hallow it wont be less or equal to rather just less than and the since the next one is 2 and its solid circle it has to be less than or equal too
Answer:
A. -9 < x ≤ -2
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -9 to 2. Since -9 is an open dot, it is exclusive in the domain. Since 2 is a closed dot, it is inclusive in the domain:
(-9, 2] or -9 < x ≤ -2
What is 18 percent of 210?
Answer:
WN=37.8
Step-by-step explanation:
WN=18%*210
WN=0.18*210
WN=37.8
2.31 (1 repeating) as a fraction
Answer:
[tex]\frac{231}{100}[/tex]
This is assuming that you can simplify the 2.31 to the nearest hundredth.
State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality
Answer:
Substitution property of equality
Step-by-step explanation:
Given
[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]
Then
[tex]4(2y + 1) + 9 = 15[/tex]
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If [tex]a = b[/tex] then [tex]b = a[/tex]
In other words, both can replace one another.
So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]
So:
[tex]4x + 9 = 15[/tex] becomes
[tex]4(2y + 1) + 9 = 15[/tex]
Hence, it is substitution property of equality
A contractor is building a tower shaped like a tall
rectangular prism. He is told that the dimensions
of the tower must be 50 ft x 80 ft x 250 ft. The
building is to have 20 floors with a 2.5 ft tall
portion between each floor and for the roof. What
is the volume of each floor of the building?
A. 40,000 ft3
B. 49.500 ft
C. 50,000 ft
D. 60,000 ft
Answer: I put 50,000 ft^3
Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor
how many rectangles from 18 square boxes
Answer:
9 rectangles
Step-by-step explanation:
two squares form a rectangle.
18 ÷ 2 = 9
IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step
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
The gas tank and Bob's car has 2.5 gallons of gas left in it Bob filled his gas tank and paid $45 the price for a gallon of gas was $3.05 approximately how many gallons of gas does Bob's tank hold
Answer:
45 divided by $3.05= 14.75
14.75 + 2.5 gallons = 17.25 gallons
Approximate volume gas tank will hold is 17 gallons.
Step-by-step explanation:
What is the location of Point A
Answer:
Wheres the rest of the question
Step-by-step explanation:
Answer:
You need to show the picture so we can help you with all due respect
Step-by-step explanation:
3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.
Answer:
12.08
Step-by-step explanation:
the easiest way to answer this is to set it up in this equation:
15.1/100 = x/80
in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08
15.1% of 80 is equal to 12.08.
What is Percentage?A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.
The abbreviations like 'pct' or 'pc' are also used to denote percentage.
Percentage is a dimensionless quantity as they have no dimensions.
Here we have to find the percentage 15.1% of 80.
The percentage of any number can be computed by dividing the number with whole and then multiply with 100.
To compute the percentage value to the original number, we use the reverse process.
15.1% of 80 = 15.1% × 80
= (15.1/100) × 80
= 0.151 × 80
= 12.08
Hence we got the value of 15.1% of 80 as equal to 12.08.
To learn more about Percentage, click on the link given below:
https://brainly.com/question/26497520
#SPJ2
Simplify by using the o
3–8(4-9)=
Answer:
-51
Step-by-step explanation:
3-24+72=0
75-24=0
51=0
PLEASE HEL0 :( 20 points!
Answer:
a c b and f
Step-by-step explanation:
Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45
Answer:
B
Step-by-step explanation:
What is 25% of 92?
Pls help thank you so much
Answer: 23
Hope that helps!
Answer:
23 :)
Step-by-step explanation:
-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
Help plz! Will give brainliest!
Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more
Step-by-step explanation:
Answer:
D sqrt 72
Step-by-step explanation:
The answer is not A because 8.89 = sqrt 79 and that is too high
The answer is not B because 9.06 = sqrt 82
The answer is not C because 7.94 = sqrt 63
The answer is D 8.49 = sqrt 72 and that is perfect.
-8+12 divided by 2 + (-14)
Answer:
-16
Step-by-step explanation:
Answer:
the answer is negitive 12 or -12
Can someone help me with this please
Answer:
teal, red, purple are the correct answers
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.
Help please this is urgent
Answer:
2 5/6 below (2 feet and five-sixth)
Step-by-step explanation:
I can explain in comments
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
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
80 POINTS NEED HELP FOR A BIG GRADE:
Reflect what you have learned about the personality traits and viewpoints of the person you select and adopt this persons perspective as though you were seeing the world through his or her eyes.
Includes: Use first-person pronouns
Includes: A viewpoint and tone that idealistically reflects how this individual would see and experience the subject matter he or she writes about.
Then you will rewrite a entry from Tuesday, July 13, 1943 or Friday, October 29, 1943.
Yesterday afternoon, Anne asked me to allow her to use the little table in our shared room twice a week in the afternoons, from four o’clock till half past five. Probably because nearly every other spot in the home is taken. It may have been a reasonable request but she is but a child, a child with no respect for her elders, I need that desk. So I told her no just no, and that bad-tempered child refused to be put off like that. I tried to send her away, telling her that “I have to work too, if I can’t work in the afternoons, then there is no time left for me at all. I must finish my task, otherwise I’ve started it all for nothing. Anyway, you don’t work seriously at anything. Your mythology, now just what kind of work is that, knitting and reading are not work either. I am at the table and shall stay there” Her reply was:
“Mr. Dussel, I do work seriously and there is nowhere else for me to work in the afternoons. I beg of you to kindly reconsider my request.”
With these words the offended Anne turned her back on this very learned doctor, Ignoring me completely. She looked as though she was seething with rage. She will probably go run to her father and tell him how horrible her roommate is. That insulinant child!
Later that day the girl came to me after the dishes were done and started more unneeded drama telling me “Mr. Dussel, I don’t suppose you see any point in discussing the matter anymore, but I must ask you to do so” How relentless! I could not just let her get away with this” Maybe if I tried just playing nice she would be put in her place, so I put on my best smile a replied. “I am always, and at all times, prepared to discuss this matter, but it has already been settled.”
She kept on talking about how unfair I was saying “When you first came here we arranged that this room should be for both of us; if we were to divide it fairly, you would have the morning and I all the afternoon! But I don’t even ask that much, and I think my two afternoons are really perfectly reasonable.” At this I jumped up outraged feeling as though someone stuck a needle in me. How dare she the ungrateful child! “You can’t talk about your rights here at all. And Where am I to go then? I shall ask Mr. Van Daan whether he will build a little compartment in the attic, then I can go and sit there. I simply can’t work anywhere. With you one always gets in trouble. If your sister Margot, who after all has more reason to ask such a thing, would have come to me with the same questions, I should not think of refusing, but you…” She attempted to show emotion on her face but I could tell she was hurt but I continued “But you one simply can’t talk to you. You are so outrageously selfish, as long as you get what you want, you don’t mind pushing everyone else to one side, I’ve never seen such a child. But after all, I suppose I shall be obliged to give you your own way, because I shall be told later on that Anne Frank failed her exam because Mr. Dussel would not give up the table for her.”
At one moment she looked as though she wanted to smack me. When I had finally stopped talking and left the room I could hear her rush away, probably to run to her father whining about how horrible I am.
I was right, her father came to me when I was about to take my turn in the bathroom. We talked for nearly two hours about if Anne deserved to sit at the table. Me and Mr. Frank had already had this discussion before and he had agreed with me, but now because of the wretched child we had to have the whole conversation again. That little brat spoke to me as if I was an intruder who tried to monopolize everything, but of course her father made her out to be a perfect angel who just spoke her mind nicely.
I finally gave in and allowed her to use the table twice a week. I don’t see that girl ever maturing and acting like a young lady.
Wish me luck dealing with that girl, Dussel