Answer:
5
Step-by-step explanation:
d² = (-3)² + 4²
d² = 9 + 16
d² = 25
d = 5
Answer:
The magnitude is 5.
Step-by-step explanation:
(I’m going to be using r to represent the magnitude)
r^2= (-3)^2+4^2
r^2= 9+16
r^2= 25
r = 5
A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. You believe it is higher. You take a simple random sample of 35 people in the U.S. and find an average of 53.8 pounds with a standard deviation of 4.4 pounds. Test at 1% significance. Round to the fourth
Answer:
[tex]6.7159[/tex]
Step-by-step explanation:
[tex]\mu=48.8\\n=35\\\bar{x}=53.8\\\sigma=4.4\\\alpha=1\%=0.01[/tex]
Null and alternative hypothesis :
[tex]H_0:\mu=48.8\\H_a:\mu>48.8[/tex]
Test statistic,
[tex]t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]\Rightarrow t=\frac{53.8-48.8}{\frac{4.4}{\sqrt{35}}}[/tex]
[tex]\Rightarrow t=\frac{5\times 5.91}{4.4}[/tex]
[tex]\Rightarrow t=6.715[/tex]
Test statistic [tex]t=6.715[/tex]
[tex]P-[/tex]value [tex]=P(t>6.715)[/tex]
[tex]P-[/tex] value [tex]=0.0001[/tex] by the p- table
Significance level [tex]0.01[/tex]
[tex]p-[/tex]value [tex]<0.01[/tex]
We reject [tex]H_0[/tex]
Mark is going to purchase a $9,000 motorcycleHis bank will finance his purchase through an add-on interest loan. They will charge Mark 7% interest over 5 years
How much in interest ?
Answer:
The interest to be charged is $ 3,150.
Step-by-step explanation:
Since Mark is going to purchase a $ 9,000 motorcycle, and his bank will finance his purchase through an add-on interest loan, and they will charge Mark 7% interest over 5 years, to determine how much in interest will be charged, the following calculation has to be done:
9000 x 0.07 x 5 = X
630 x 5 = X
3150 = X
Therefore, the interest to be charged is $ 3,150.
STEP 2:
YOU NEED A CAR!
You have decided to look at a truck that is listed for $12000. It is a 2001 Dodge Ram, V8, 85,000
miles, automatio, extended cab, black exterior and interior, A/C works, and factory radio. After test-
driving the vehicle, you decide to purchase the vehicle.
7. Sales tax for the vehicle is 8%. Including sales tax, what will be the final cost
of the truck?
8. You decide to finance the vehicle for 5 years, what will be your monthly
payment on the
vehicle before the interest you owe on the loan? PLEASE HELPPP
Answer:
a. the final cost will be $12,960
b. your monthly payment will be $216
Step-by-step explanation:
a. if the sales tax is 8%, that means that you will need to pay 8 cents for every dollar of the original cost. you can find the total cost by multiplying 1.08 (108%) by 12,000 in order to get the original price PLUS the sales tax added on. Thus, leaving you with $12,960 as the final price.
b. to find the monthly payment, you will multiply the number of years the payment is spread out over (5) by the number of months in a year (12) in order to get 60 months in total. Then divide the $12,960 by 60 in order to get a final monthly payment of $216.
Can someone please help me? If you cannot think of anwer, leave me alone aight?
I need somebody to explain why the surface area of the cylinder in the image is
351.86 square inches. Yes, i know the answer but still clueless how to solve for that. (There was a test and I got the answer wrong then it revealed the right answer)
Will mark brainliest if someone truly helps me.
Answer:
Formula for to find out the surface area of a cylinder = 2πrh+2πr^2
As the radius of the cylinder (4/2) cm = 2cm
Then the surface area of the cylinder
= 2πrh + 2πr^2
=( 2×22/7×2×6 + 2×22/7 × 2^2) cm^2
= (528/7 + 176/7) cm^2
= 704/7 cm^2
=100.571428571 cm^2
=15.58860260571021 in^2 (ans)
This the answer
Add.
(-8y2 + 7y? - 4y - 6) + (3y + 5y3)
us.
Answer:
3y²+4y²-4y-6
Step-by-step explanation:
Donations of $ 375 in March to a homeless shelter are 250% of what they were in February. What were the donations to the shelter in February?
Answer:
I think 750
Step-by-step explanation:
250 percent more right?
PLEASE HELP ASAP!!!!
Answer:
17=x
Step-by-step explanation:
Put in y and minus 4
will give brainliest
Answer:
Step-by-step explanation:
1/48 + 5/6
The LCD of 48 and 6 is 48 so we have:
1/48 + 40/48
= 41/38
Answer:
41/48
Step-by-step explanation:
Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?
Answer: 300 ml
Step-by-step explanation:
First and foremost, we should note that:
1000 milliliters = 1 liter
Therefore, 2.1 liters = 2.1 × 1000 = 2100 millimeters.
Therefore, since the liters of water is divided into 7 containers, the vlaue in each container will be:
= 2100 millimeters / 7
= 300 millimeters
Three years ago the sum of the ages of father and his son was
48 years and three years hence father's age will be three times
that of his son. Find the present ages of the father and his son.
Answer:
The father is 42 years old and the son is 12 years old.
Step-by-step explanation:
Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:
F + S = 48
F + 6 + S + 6 = 3S
34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)
38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)
40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)
39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)
39 + 3 = 42
9 + 3 = 12
Therefore, the father is 42 years old and the son is 12 years old.
The area of the outer rectangle above is 80 ft, and the area of the inner rectangle is 68 ft. What is the area of the shaded region?
Answer:
B
Step-by-step explanation:
is the right answer
The area of the shaded region is 12 feet². The correct option is A.
What is a rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that the area of the outer rectangle above is 80feet². The area of the inner rectangle is 68feet². The area of the shaded region=area of the outer rectangle- the area of the inner rectangle.
The area of the shaded region=(80-68 )feet²
The area of the shaded region= 12feet²
Thus, the area of the shaded region is 12feet².
Learn more about rectangles here:
https://brainly.com/question/23515075
#SPJ2
Prove <4 and <1 are supplementary.
Answer:
the = 180
Step-by-step explanation:
Answer:
proof:
Triangle is isosceles, so angle 4 and 5 are equal
Angle 5 + Angle 1 = 180°
Angle 4+ Angle 1 = 180°
Step-by-step explanation:
<4 ≅ <5. <5 + <1 = 180° <4 + <1 are supplementary
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Bert measured a swimming pool and made a scale drawing. The scale of the drawing was
1 centimeter = 1 meter. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Submit
A Labrador retriever club has 130 members: 65 black Labs, 44 golden Labs, and 21 chocolate Labs. Pablo is going to perform a chi-square goodness-of-fit test to see if the distribution of Labrador retrievers in the club is the same as the distribution nationally. Pablo is going to test his sample against the following null hypothesis, which reflects the national distribution.If the distribution of Labrador retrievers in the club were to match that of the national average, how many of each type of Labrador retriever would Pablo expect to see in his club?
Answer:
Step-by-step explanation:
Ap classroom
Five friends are sharing 4 fruit bars. Each friend gets the same amount.
How much fruit bar does each friend get?
Answer:
4/5 of a fruit bar
Step-by-step explanation:
guys help me
can u give me the answer
Answer:
A factor, in mathematics, a number or algebraic expression that divides another number or expression evenly, with no remainder. A multiple of a number is any integer multiplied by the number. Try it yourself, now you know the how it works.
A square has an area of 196 square centimeters. What is the length of each side?
Answer:
The answer is simply 49.
Step-by-step explanation:
196 ÷ 4 is why because their are 4 sides on a square if you divide it by 4 you get the answer 49. You're probably in like 3rd grade or smth this is so easy.
It’s my final and I haven’t paid attention
Answer:
f(x)= (1/2)x-3
Step-by-step explanation:
James drove 29 hours at a rate of 65 mph. How many miles did he drive?
Work out cube root of 512 : reciprocal of 0.4. Give your answer in the form n : 1
Step-by-step explanation:
Thanks, so cube root of 512 is 8 and reciprocal of 0.4 is 2.5 then:
8 : 2.5 / divide both by 2.5 to get:
3.2 : 1 that's my answer right?
The correct form of the ratio of cube root of 512: reciprocal of 0.4 is 3.2:1
What is a cube root?
It is a number y such that y to the power 3 is equal to x.
How to find ratio?
We have to find the ratio of cube root of 512 and the reciprocal of 0.4 which will be as follows
cube root of 512: reciprocal of 0.4
8: 1/0.4
8=2.5
dividing by 2.5
3.2 : 1
Hence the ratio will be 3.2 :1 of cube root of 512 and the reciprocal of 0.4
Learn more about cube root at https://brainly.com/question/310302
#SPJ2
Could you please explain in detail how to graph this. Thank you:)
Please please please please help
Answer:
its B
Step-by-step explanation:
daniel’s print shop purchased a new printer for 35,000 each year it depreciates at a rate of 5% how much will the printer be worth in 8 years
Answer:
$23,219.72
Step-by-step explanation:
ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed
35000(0.95)^8= 23219.7151
Round to the nearest hundredth value:
About $23219.72
what time is seven to eight
Original price: $130
Discount: 60%
Sale price:?
Answer:
$52
Step-by-step explanation:
first you find out what 60% of 130. all you need to do is put a decimal before the percent and multiply it with the cost, in this case 0.6 x 130, which results in 78. next you subtract the percentage result from the total cost to get your answer of $52.
Please help fast........
Answer:
b
Step-by-step explanation:
Chile I’m struggling
Answer:
the answer is c
Step-by-step explanation:
Find a polynomial equation that has roots of -2 and double root 3
Answer:
x³ + 2x² -3x +6
Step-by-step explanation:
We need to find the polynomial whose roots are ,
-2 , √3 and √3.Say of we have zeroes as , α , β and γ , then the polynomial is ,
=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]
where k is constant. Substituting the respective values , we have ,=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]
=> p(x) = k[ (x+2)(x² - 3)]
=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]
=> p(x) = k[ x³ - 3x + 2x² - 6 ]
=> p(x) = k[ x³ + 2x² - 3x - 6 ]
Hence the cubic polynomial is x³ + 2x² - 3x + 6 .To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of credits for the course. Suppose a student had these grades: 3.5 in a 5 credit Math course 2.2 in a 2 credit Music course 2.5 in a 5 credit Chemistry course 3.2 in a 4 credit Journalism course What is the student's GPA for that term
Answer: 2.95
Step-by-step explanation:
The students GPA for the term will be calculated as the weighted score divided by the number of units. This will be:
= (3.5 × 5) + (2.2 × 2) + (2.5 × 5) + (3.2 × 4) / (5 + 2 + 5 + 4)
= (17.5 + 4.4 + 12.5 + 12.8) / 16
= 47.2 / 16
= 2.95
Therefore, the GPA is 2.95
A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a coordinate grid. If the car begins at (−3,−5) and ends at (5,9), which of these expresses the car's displacement in vector form?
A
(14,8)
B
(10,12)
C
(8,14)
D
(2,4)
Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]
And for the y-coordinate, we have:
[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]
The car's displacement in vector form is:
[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!