Answer:
22 mph
Step-by-step explanation:
83.6 miles
3.8 hours
83.6/3.8 = 22 mph
Check all statements that are true.
a. Adding two integers and then taking the remainder produces the same result as taking their remainders first, then adding them, and then applying the remainder operation once more.
b. Saying that a divides b is the same as saying that b is a multiple of a.
c. Adding two integers and then taking the remainder produces the same result as taking their remainders first and then adding them.
d. When you perform division by 5 with remainder, the remainder is an integer from -5 to 5.
e. If an integer a divides a product of two integers b and c, then a must divide b or a must divide c.
f. If an integer divides two numbers, it also divides their difference.
g. If an integer divides two numbers, it also divides their sum.
h. When you perform division by 3 with remainder, the remainder is one of the integers 0,1,2.
i. If a and b are positive integers, and a = bq + r is the decomposition of a given by the division algorithm, then q can be found as the floor of a/b, and then r can be found as r = a - bq.
j. If an integer a divides an integer b, then a also divides any multiple of b.
Answer:
a. True
b. True
c. False
d. False
e. False
f. True
g. True
h. True
i. True
j. True
Step-by-step explanation:
When the integer divides the two number then their sum is also divisible by that integer. This is also the case in the subtraction when two number are divisible then their difference is also divisible. When there is division by 5 the number not necessarily can be 5 or -5. This statement is not correct.
Easy question look at photo
Answer:
I would go with yes, since we know BC=UV
Step-by-step explanation:
The sum of two numbers is 92. Their difference is 20. Find the two numbers?
Answer: sum: 51 + -31 = 20
Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:
x + y = 20
The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:
x - y = 92
Now solve equation B for x to get the revised equation B:
x - y = 92
x = 92 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 20
92 + y + y = 20
92 + 2y = 20
2y = -72
y = -36
Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:
x + y = 20
x + -36 = 20
X = 56
Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Answer: 56 and -36 as proven here:
A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)
Answer:
1/4
Step-by-step explanation:
Two Heads = HH,
From four options one of them is HH,
So likely the answer is 1/4,
Hope this helps!
Find the measure of angle B.
Step-by-step explanation:
C = 180 - 112 = 68°
A = 180 - 68 - 51 = 61°
B = 180 - 61 = 119°
Another way :
We know that B = C + 51 ==> B = 68 + 51 = 119°
plese help me
21,382.62 ÷ 10,000
Answer:
2.138262
Please mark my answer as the brainliest for further answers :)
Answer:
2.138262
Step-by-step explanation:
21,382.62 ÷ 10,000
2. The area of the bottom of a shoe box is 28 square inches. If the
height of the shoe box is 3 inches, what is the volume the box
Answer:
Echo stop DELeting MY Stuff
Step-by-step explanation:
Help. Lol 6th grade math.
Answer:
The first one is howard and the second one is peter
Step-by-step explanation:
Howard is at a higher elevation because he is above the sea level.
Peter is further from sea level because he is 1.1 meters away, whereas Howard is only 0.8 meters away.
Answer:
the first on is howerd
number two is peter
Step-by-step explanation:
I need help with math asap
um where’s the question?
Study each equation, then solve.
18) 5 + r = 6 - r
Answer:
5+r=6-r
-5 -5
r=1-r
+r +r
2r=1
÷2 ÷2
r=1/2
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer it right and i'll try to give you brainliest.
Answer:
384 cm²
Step-by-step explanation:
Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.
[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]
Area of a triangular face
= ½ ×12 ×10
= 60 cm²
[tex]\boxed{area \: of \: square = side \times side}[/tex]
Base area of pyramid
= 12 ×12
= 144 cm²
∴ Surface area of pyramid
= 4(60) +144
= 240 +144
= 384 cm²
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
Solve equation by using the quadratic formula.
2x? + 13x = 0
Answer:
c
Step-by-step explanation:
uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom
Answer:
hello your question is incomplete attached below is the complete question
answer : It would be narrower ( C )
Step-by-step explanation:
When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .
PLEASE HELP! 20 POINTS!!
Answer:
15
Step-by-step explanation:
In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!
Solve the following proportion.
-1
T-1
5
2
!!!!pls
Answer:
x=1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
x-1/5=x-1/2
2(x-1)=5(x-1)
2x-2=5x-5
-2=5x-5-2x
-2=3x-5
-2+5=3x
3=3x
1=x
x=1
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective. Using the data, construct the 98% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
Answer:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.
1536 - 1383 = 153
This means that [tex]n = 1536, \pi = \frac{153}{1536} = 0.1[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118[/tex]
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
can u tell me is this test important or not
Answer:
Yes, indeed it is one of the most important examinations.
2. Rosa made a mosaic wall mural using 15 black tiles, 60 blue tiles, and 25 red tiles. Write a percent to represent the number of red tiles that were used in the mural.
9514 1404 393
Answer:
25%
Step-by-step explanation:
The ratio of red tiles to all tiles is ...
25/(15 +60 +25) = 25/100 = 25%
25% of the tiles were red tiles.
_____
Additional comment
It is often useful to think of the % symbol as being equivalent to /100, and vice versa.
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
which of the following is a example of a proportional relationship
*photo is down there
show proof for brainliest
Answer:
The third one
Step-by-step explanation:
You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.
What is y in this equation
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
Which number has a greater value than |-2.6|?
A. -2.9
B. -|7|
C. -2.6
D. |-6|
Answer:
B (7)
Step-by-step explanation:
If you put a number in absolute value bars,
BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?
Answer:
Distribute the 4
Step-by-step explanation:
You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.
What is the answer for 82-(72+1)
Answer:
The answer should be 9.
Step-by-step explanation:
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
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