Answer:
33.46
Step-by-step explanation:
Using the cosine rule;
b² = a²+c²-2accosB
b² = 51²+38²-2(51)(38)cos41
b² = 2601+1444-2(51)(38)cos41
b² = 4045-2,925.25
b² = 1,119.74
b = √1,119.74
b = 33.46
Hence the value of b to nearest hundredth is 33.46
Multiply the two fractions (1/2)(2/5). Simplify your answer.
A.2/7
B.1/5
C.20/100
D.2/10
Answer:
b
Step-by-step explanation:
I need help because I don't understand and I need an explanation of how to do it, please.
Answer:
Step-by-step explanation:
a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)
b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).
A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25 hours. Suppose a random sample of 30 participants was taken and the mean finishing time was found to be 1.59 hours with a standard deviation of 0.30 hours.
(a) Identify the parameters in this situation.
(b) Identify the statistics in this situation.
(c) Suppose we were to make a histogram of the finishing times of all participants in the duathlon. Which of the following would the histogram be a display of?
i. Population distribution
iii. Distribution of a sample
ii. Sampling distribution of means
(d) Suppose the process of taking random samples of size 30 is repeated 200 times and a histogram of 200 sample means is created. Which of the following would the histogram be a display of?
i. Population distribution
ii. Distribution of a sample
iii. Sampling distribution of means
(e) What is the standard error for the mean finish time of 30 randomly selected participants?
(f) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours.
(g) What is the probability that another sample of 30 randomly selected participants will have a mean finishing time of 1.59 hours or less?
Answer:
A.) Parameter = 1.67 ; 0.25
B.) Statistic = 1.59, 0.30
C.) Population distribution
D.) Sampling distribution of means
E.) 0.058
F.) 0.395
G.) 0.072
Step-by-step explanation:
A.) The parameters are measured quantities or characteristics derived from the population. The parameter here describes the mean and standard deviation of all participants ;
Population mean = 1.67
Population standard deviation = 0.25
B.) Statistic are measured quantities which are characteristics of the sample. Here, we have the sample mean and standard deviation
Sample mean = 1.59
Sample standard deviation = 0.30
C.) The population distribution is the plot of the histogram prepared using data from the population (all participants)
D.) The plot of the mean value obtained from the repeated measurement or simulation of the sample data is called sampling distribution of the means.
E.) Mean finish time of 30 randomly participants :
Sample size, n = 30
Standard Error = s/√n
Standard Error = 0.30 /√30 = 0.0548
F.) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours
P(x < 1.59)
Z = (xbar - μ) / σ ; (1.59 - 1.67) / 0.30 = - 0.267
P(Z < - 0.267) = 0.395 (Z probability calculator)
G.) P(x < 1.59)
Z = (xbar - μ) / s ; (1.59 - 1.67) / (0.30/√30) = - 1.46
P(Z < -1.46) = 0.072 (Z probability calculator)
The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet
If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.
How to find the distance?Using this formula to find the distance by solving for d
t=√d/q
Where:
t = Time = 5 seconds
d = Distance = ?
q = Quantity = 16
So,
5 seconds=√d/16
d=16x5²
d=16 × 25
d= 400 feet
Therefore we can conclude that the correct option is A.
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5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
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For a given arithmetic sequence, the first term, 47, is equal to 26, and the 37 th term, a37, is equal to 278. th Find the value of the 4th term, a4.
9514 1404 393
Answer:
47
Step-by-step explanation:
Given:
a1 = 26, a37 = 278
Find:
a4
Solution:
Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...
an = a1 +d(n -1)
a37 = 26 +d(37 -1) = 278
d = (278 -26)/36 = 7 . . . . . . solve for d
Then the 4th term is ...
a4 = 26 +7(4 -1)
a4 = 47
3) Mr. Johnson uses 2.34 yards of yarn to knit a scarf. If Mr. Johnson has a total of 30.42 yards of yarn, how many scarfs will he be able to knit?
she will be able to knit 13 scarfs
Given ,
Mr. Johnson uses 2.34 yards of yarn to knit a scarfMr. Johnson has a total of 30.42 yards of yarnTo Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn
2.34 yards of yarn = 1 scarf
30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]
= 13 scarfs
Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13
5. Mariel volunteers at the
animal shelter 3 times a month.
After 6 months, how many
times has she volunteered at
the animal shelter?
Anna has 60 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Lee’s fish is 4 centimeters long.
Tia’s fish is 11 centimeters long.
4. Choose the expression that matches the following statement: three times the difference of
two times a number and 7 taken from 8 of a number.
a) 2x+21
b) 2x - 21
c) -2x - 21
d) -2x - 7
A student made two patterns to show multiplication of a decimal by powers of ten. the equations shown for both patterns are incorrect. pattern A
3.675. 10 =3.7650
3.675. 100= 3.67500
3.675.1,000= 3.675000
pattern B
3.675. 10=3.0675
3.675.0.01= 3.00675
3.675. 0.001= 3.000675
explain why the equations in each of the patterns are false. Include in your explanation the values that should appear on the right side of each equation in both patterns to make the equations true.
If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
How to find the correct value?Pattern A
3.675×10 =3.7650 Incorrect
3.675×10 = 36.75 Correct
3.675× 100= 3.67500 Incorrect
3.675×100= 367.5 Correct
3.675×1,000= 3.675000 Incorrect
3.675×1,000 = 3,675 Correct
Pattern B
3.675×10=3.0675 Incorrect
3.675× 10= 36.75 Correct
3.675×0.01= 3.00675 Incorrect
3.675×0.01= 0.03675 Correct
3.675×0.001= 3.000675 Incorrect
3.675×0.001= 0.003675 Correct
The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
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8. If 5/12.5 is equivalent to -4/2x, what is the value of x?
Answer:
-5
Step-by-step explanation:
[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]
[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]
[tex]10x = -50[/tex]
[tex]x=-5[/tex]
If the radius is 10 ft, what will be the area of the circle!
Answer:
314
Step-by-step explanation:
Formula for area -> A= PI times radius squared
10x10=100x3.14+314
Answer:
314.16ft
Step-by-step explanation:
Diameter = 2
×
Radius
Diameter = 2
×
10
Diameter = 20 feet
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
A, D
Step-by-step explanation:
1.67+1.4>3, 4.6-1.47>3.
Answer:
A and D
Step-by-step explanation:
Could someone use my Gauthmath code 8APGFB to help me gain more tickets? My math review sheet is crazzzzzzy.
Answer:
Okay
Step-by-step explanation:
I will try to help you
Answer:
Ok I also have a code: F5LS4F
Step-by-step explanation:
I heard you can get tickets in their discord community or something like that.
Jdjdjdjd
Help jajasjjaj
Answer:
x=57
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
(x-5) + (2x-7) + 21 = 180
Combine like terms
3x +9 = 180
Subtract 9 from each side
3x+9-9= 180-9
3x = 171
Divide by 3
3x/3 =171/3
x =57
please help it’s due in half an hour
Answer:
(a) They asked for one value of x
but I'll give you both
They're 2 and -2
(b)g(-1) = 4
Step-by-step explanation:
For (a) they're are looking for the value of x that is corresponding to 1 on the y axis
If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers
for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4
multiply 5/12 and the multiplicative inverse of -1/4
Answer:
The answer is -2
Step-by-step explanation:
Hope it helps :)
What is the geometric mean of 12 and 15?
Answer:
The geometric mean is 9.798
Step-by-step explanation:
Answer:
13.416407864998738
A chef makes small and large snacks to sell at a local art show. He cannot make more than 30
snacks before the show, with no more than 6 large snacks. The chef must make at least 10 small snacks to
earn a profit.
Part A
Let x represent the number of small snacks and y represent the number of large snacks. Given x ≥ 0 and
y 20, select all the inequalities that represent the situation.
0 x≤6
O y ≥ 10
Ox+y≤ 30
O 10x+6y≤ 30
0y≤6
0 x ≥ 10
-01:25
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
Here, given that,
A chef makes small and large snacks to sell at a local art show.
He cannot make more than 30
snacks before the show, with no more than 6 large snacks.
The chef must make at least 10 small snacks to earn a profit.
Let,
x represent the number of small snacks
and y represent the number of large snacks.
Given x ≥ 0 and y 20
So, we get,
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
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evaluate (4√81)³.............
A town has a population of 18000 and grows at 2% every year. What will be the population after 11 years, to the nearest whole number?
Answer:
~22381
Step-by-step explanation:
a=starting value = 18000
r=rate = 2%=0.02
Exponential Growth:
b=1+r=1+0.02=1.02
b=1+r=1+0.02=1.02
Write Exponential Function:
y=18000(1.02)^x
y=18000(1.02)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=18000(1.02)^{11}
y=18000(1.02)
11
Evauate:
y= 22380.73755
y=22380.73755
Round:
y\approx 22381
y≈22381
maybe explain what a dependent is in math pls
Tell whether the angles are adjacent or vertical. Then find the value of x.
Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
1.1 Determine the cost price per racing car
1.2 calculate the profit toby makes per racing car
1.3 Determine toby's profit margin on one pack 12 racing car
Answer:
1.1 R5.83
1.2 R70.01
1.3 58.34%
Step-by-step explanation:
Given that he buys a pack of 12 racing cars for R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack
= R49,99/12
= R4.17
If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price
= R10 - R4.17
= R5.83
The profit margin on one pack of 12 racing cars
Profit margin is the ratio of the profit to the total selling price
The total profit (profit on one pack of 12 racing cars)
= R5.83 * 12
=R70.01
Total selling price = R10 * 12
=R120
Margin = R70.01 / R120
= 58.34%
Question 6 of 40
Multiply (x2 + 2x + 3)(4x2 – 2x + 1).
O A. 5x2 + 4
O B. 4x + 10x + 17x2 + 8x + 3
O C. 44 + 6x3 + 9x2 - 4x + 3
O D. 44 - 4x2 + 3
How many -pound bags of soap flakes can Mr. Newman fill?
Answer:
where is the other part of the question
Find the slope of the line through each pair of points.
(4, 18), (4, -11)
Answer:
undefined
Step-by-step explanation:
slope formula:
m =y2-y1 / x2-x1
m= -11-18 / 4-4= -29/0
you cannot divide by zero so the slope is undefined
Can you please help me faster please help me if you know???!!!
Answer:
29%
Step-by-step explanation:
5+48+22=75
22/75=0.2933
nearest % is 29%