Answer:
48
Step-by-step explanation:
A chemist is using 342 milliliters of a solution of acid and water. If 17.7% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
60.5 mL
Step-by-step explanation:
Since 17.7% of the solution is acid, and we have 342 mL in total, we just multiply 342 x 0.177 to get 60.5 mL of acid.
I hope this is correct, Best of luck!
find the measure of the angle theta
Answer:
theta = 48.190
Step-by-step explanation:
Answer: θ = 48.2°
Step-by-step explanation:
The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3
rounded to three significant digits = 48.2°
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 20% defectives, find the probability that the sample will contain at least three defectives, by using the following methods. (a) the normal approximation to the binomial (Round your answer to four decimal places.)
Answer:
0.7995 = 79.95% probability that the sample will contain at least three defectives.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that a random sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
The machine produces 20% defectives
This means that [tex]p = 0.2[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 20*0.2 = 4[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.2*0.8} = 1.79[/tex]
Probability that the sample will contain at least three defectives
Using continuity correction, this is [tex]P(X \geq 3 - 0.5) = P(X \geq 2.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 4}{1.79}[/tex]
[tex]Z = -0.84[/tex]
[tex]Z = -0.84[/tex] has a pvalue of 0.2005
1 - 0.2005 = 0.7995
0.7995 = 79.95% probability that the sample will contain at least three defectives.
Find the value of x for the right triangle.
45°
х
10
Answer:
14.14
Step-by-step explanation:
sin(45)=10/x. <--fraction
then solve for x you should get this
x=10/sin(45)
and that should equal
14.14213562
Find the area of the shaded region.
Answer:
60.5m^2
Step-by-step explanation:
the area of the square
=11m×11m
=121m^2
the area of triangle
=11m×11m÷2
=121m^2÷2
=60.5m^2
the area of the shaded region
=121m^2-60.5m^2
=60.5m^2
the answer is not very sure,
if it is wrong, i am sorry for it.
Which step in the proof has a flow?
1.Statement 2
2.Reason 3
3.statement 3
4.Reason 2
Answer:
Reason 2
Step-by-step explanation:
The reason should be transitive property( if a=b and b=c then a=c) not reflective property.
What is the base of a rectangle with a height of 12.6 meters and an area of 28.98 square meters? Enter your answer in the box.
Answer:
why is brainlys ask a tutor not free anymore I really needed help so I pressed the button and all it said was pay for tutor plus
Answer:182.524
Step-by-step explanation:28.98•12.6=365.148 365.148 divided by 2=182.524
A certain television is advertised as a 76-inch TV (the diagonal length). If the width of
the TV is 66 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
37.7
Step-by-step explanation:
If the diagonal length and the television are given as 76 inches and 66 inches, the obtained length will be 37.68
What is a rectangle?In two-dimensional planning geometry, it is the region that the rectangle occupies. It is described as a type of two-dimensional geometry where the angle between neighboring sides is 90 degrees. It is a specific kind of quadrilateral.
The following formula can be used to determine a rectangle's area:
Rectangle area = length x width
It given that, the diagonal length of the TV is 76 inches, the width of the TV is 66 inches,
We have to find the length of the television. Apply the Pythagoras theorem,
AC²=AB²+BC²
76²=66²+BC²
BC²=76²-66²
BC²=1420
BC=√1420
BC=37.68
Thus, the obtained length of the television will be 37.68
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
Is 10 times as much as 9
Answer:
No.
Step-by-step explanation:
10 times is not as much as 9 times.
Which of the following expressions is equivalent to a perfect square?
Answer:
F
Step-by-step explanation:
if you do the math you end up with 49 which is a perfect square of 7
The expression that is equivalent to a perfect square in the options is 34 + 18 ÷ 3².
What is a perfect square?A perfect square is the number derived when a number is multiplied by itself. For example, 9 is a perfect square because 3 multiplied by 3 is equal to 9.
3 + 2² x 7 = 31
(80 + 4)÷ 4 = 21
34 + 18 ÷ 3² = 36
3²+ 6 x 5 ÷ 3 = 19
What?
AAeEeEeEeOOoooO
h??
Eeb
Plsss help mark brain list
Answer:
54
Step-by-step explanation:
63 * 2 = m of arc DF
arc DF = 126
180 - 126 = 54
Arc FE = 54
Answer:
arc FE = 54°
Step-by-step explanation:
Because DE is a diagonal, ∠DFE is 90°.
∠FDE = 180° - 90° - 63° = 27°
arc FE = 2(∠FDE) = 2(27°) = 54°
A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows: Women Men _ Sample mean 12.9 hrs 16.4 hrs Sample SD 4.0 hrs 4.2 hrs Sample size 14 17 This sample data is then used to test the claim that the mean time spent watching television by women is less than the mean time spent watching television by men. Assume that the sample variances are equal, and a .05 significance level is used. What can we conclude from this test
Answer:
there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Step-by-step explanation:
H0 : μw = μm
H1: μw < μm
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
df1 = 14 - 1 = 13
df2 = 17 - 1 = 16
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)
Sp² = 16.90
t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))
t = - 3.5 ÷ 1.4836645
t = - 2.359
Using the Pvalue from Tscore ; at 95% ; df = 29
Pvalue = 0.0126
Pvalue < α
0.0126 < 0.05 ;
Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Which type of triangle is formed given the following angle measurements?
Angle 1: 30°
Angle 2: 30°
Angle 3: 120°
Answer:
A right angled Triangle
Nick is selling software and earns 12% of his sales as a commission If he sells a total of $668 in software this week, how much is his commission
Answer: $80.16 ($748.16)
Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12
(i'm doing your math in the middle of my math class. you're welcome.)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<EFC and <DCF
Step-by-step explanation:
Alternate interior angles: Angles that are inside the parallel lines and are opposite from each other
<DCA and <DCF are supplementary angles meaning they add up to 180 degrees.
<EFH and <GFC are vertical angles and both angles are not inside the parallel lines.
<BCF and <GFH are not alternate interior angles because both the angles aren't inside the parallel lines.
<EFC and <DCF are alternate interior angles because they are on opposite sides of the transversal and inside the parallel lines.
Giving brainliest!!!!!!
Answer:
Answer should be 6, I think
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
3rd one
Step-by-step explanation:
Answer:
<VWT and <UTW
<STW and <XWT
Hurry plsss Plsssss
Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60
Answer:
B is the correct answer as it qualifies for all the answers correctly.
Which answer choice represents a person burning 45
calories by climbing 9 flights of stairs?
F
Number of Flights of
Stairs Climbed, f
Number of Calories
Burned, c
G.
c=f+5, where c represents the number of
calories burned and f represents the number of
flights of stairs climbed.
1
5
3
15
5
25
7
35
J
A person who climbs 5 flights of stairs will
burn 1 calorie
90
22
Need
Heln2
19 - a = 42
What is a?
Answer:
61
Step-by-step explanation:
add 42 the 19 because of reverse operation
Find the surface area of a cube with a side base length of 8mm.
Answer:
384mm
Step-by-step explanation:
Please look at the picture because I can’t use the keyboard to explain
multiply the binomials (2x+1)(3x+2)
The Answer is (6x^2+7x+2)
Use the FOIL method
Please help I don’t understand
Answer:
$30 per Ticket
Step-by-step explanation:
There are 3 friends coming along you so that means you have to divide one number by 3. You have a $20 coupon so that meant you had to subtract 20 from 120. 20-120=100.
Now, you have to divide 100 by the 3 friends then add 5 to each number.
3 divided by 100=25+5=30
So, $30 is your answer
Thank you! -Brainly User
You can earn 5 coins The speed limit on Main Street is 20 miles per hour. Which inequality shows the speed, s, that cars should drive on Main Street?
Answer:
s ≤ 20
Step-by-step explanation:
The speed limit refers to the maximum velocity a vehicle is allowed to move. Therefore, for a certain street like the one in the scenario abive, with a speed limit of 20 miles per hour, then, the maximum allowable speed on the highway is 20 miles per hour. Meaning vehicles can move at that speed or below. However, moving above that speed is a violation of the speed limit rule. Hence. The speed limit could be represented by the inequality :
Speed limit is less than or equal to 20 miles per hour
S ≤ 20
Lobe-finned fishes were present in the oceans of the world approximately 400 million years ago. The first tetrapods (vertebrates that had limbs and could move on land) date to about 365 million years ago. One hypothesis states that early tetrapods evolved from lobe-finned fishes. What is the best plan for testing this hypothesis?
Answer:
comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.
Step-by-step explanation:
Based on the modern method of archeological findings used, it is the view of some scientists that the best plan to test the hypothesis (assumption) that early tetrapods might have evolved from lobe-finned fishes involves comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.
Find the diagonal of the rectangular solid with the given measures.
l= 3, w= 3, h= 2
A vector has initial point of (-1,4) and terminal point (-4,2) write v in component form
Answer:
v = -3i - 2j
Step-by-step explanation:
Vector given two points:
Given two points, a vector is the subtraction of the terminal point by the initial point.
In this question:
Initial point: (-1, 4)
Terminal point: (-4, 2)
So
v = (-4,2) - (-1, 4) = (-4 - (-1), 2 - 4) = (-3,-2)
The vector is v = (-3,-2)
In component form:
xvalue is i, yvalue j. So
v = -3i - 2j
Solve for y on problem #2
9514 1404 393
Answer:
y = (x +7)/3
Step-by-step explanation:
Multiply the given equation by y/3:
[tex]\dfrac{x+7}{y}\cdot\dfrac{y}{3}=3\cdot\dfrac{y}{3}\\\\\boxed{y=\dfrac{x+7}{3}}[/tex]