Answer:
b
Step-by-step explanation:
Answer: D. Hope It helps!!!!!
Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total wages?
Answer:
Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.
Step-by-step explanation:
i think the answer is A what about y’all? i know i could be wrong
9514 1404 393
Answer:
A. 15.250
Step-by-step explanation:
The applicable trig function is the cosine function:
Cos = Adjacent/Hypotenuse
cos(57°) = y/28
y = 28×cos(57°) ≈ 15.24989
y ≈ 15.250 . . . . matches choice A
_____
Additional comment
From your knowledge of "special" triangles, you know that y would be 14 if the angle were 60°. Of course, the length must be shorter than 28, so answer choices B and C are immediately eliminated. The fact that the length is closer to half of 28 than it is to 28 makes choice A look like a pretty good guess.
A $1,200 computer is losing value at a rate of 22% per year; 2 years
Answer:
$730.08
Step-by-step explanation:
22% = 0.22
1 - 0.22 = 0.78
Value after 2 years
v = 1200(0.78)²
v = 730.08
$730.08
A recent math test results show a mean of 75 and a standard deviation of 3. A random test is chosen with a raw score of 86. Which of the following tests scores is better than what percentage of all scores?
TEST 1: x=65, μ=70, σ=3
TEST 2: x=80, μ=50, σ=10
A) Test 1 has the highest z-score
B) Test 2 has the highest z-score
C) Neither, the original test has a z-score 3.67 which is the highest z-score.
Answer:
c
Step-by-step explanation:
The test which scores are better than the percentage of all scores will be tested 2 and the percentage is 3. Hence, option B is correct.
What is Normal distribution?A probability distribution that is symmetric around the mean and demonstrates that data close to the mean are more likely to occur than data distant from the mean.
As per the given information in the question,
1.
x = 65
Mean, μ = 70
Standard deviation, σ = 3
Use the equation given below to find the percentage,
Z = (x - Mean)/Standard deviation,
Z = (64 - 70)/3
= -6/3
Z = -2
2.
x = 80
Mean, μ = 50
Standard deviation, σ = 10
Use the equation given below to find the percentage,
Z = (x - Mean)/Standard deviation,
Z = (80 - 50)/10
= 30/10
Z = 3
Compare the values obtained, and it is clear that Test 2 got height score.
To know more about Normal Distribution:
https://brainly.com/question/15103234
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Please i need help I will heart whoever answers. Thx
Answer:
c.25-c/4
Step-by-step explanation:
because all the other expressions are suggesting another equation they said Emma made 25 cookies and gave her mom c so that will be 25-c and then she divided it between her four friends so therefore 25-c,c=the amount she gave her mom,it is unknown so 25-c =the amount remaining after she gave her mom divided by 4
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
The slope of the line below is 0.4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
(-5, -3)
Calculate the amount of interest on $4,000.00 for 1 year, compounding daily at 4.5 % APR. From the Monthly Interest Table use $1.046025 in interest for each $1.00 invested.
Answer:
Sierra Madre Oceandental range
Dilation by scale factor 5
Answer:
is there supposed to be a picture here?
Step-by-step explanation:
Find the argument of the complex number z=1+iv3
Given:
The complex number is:
[tex]z=1+i\sqrt{3}[/tex]
To find:
The argument of the given complex number.
Solution:
If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
We have,
[tex]z=1+i\sqrt{3}[/tex]
Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:
[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]
[tex]\theta =\tan^{-1}\sqrt{3}[/tex]
[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]
[tex]\theta =\dfrac{\pi}{3}[/tex]
Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight identical components, each with a probability of 0.1 of failing in less than 1,000 hours. The sub system will operate if any four of the eight components are operating. Assume that the components operate independently. Find the probability that
a. exactly two of the four components last longer than 1000 hours.
b. the subsystem operates longer than 1000 hours.
Answer:
a) 0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they last more than 1,000 hours, or they do not. Components operate independently, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has eight identical components, each with a probability of 0.1 of failing in less than 1,000 hours.
So 1 - 0.1 = 0.9 probability of working for more, which means that [tex]p = 0.9[/tex]
a. exactly two of the four components last longer than 1000 hours.
This is P(X = 2) when [tex]n = 4[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.9)^{2}.(0.1)^{2} = 0.0486[/tex]
0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.
b. the subsystem operates longer than 1000 hours.
The subsystem has 8 components, which means that [tex]n = 8[/tex]
It will operate if at least 4 components are working correctly, so we want:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.9)^{0}.(0.1)^{8} \approx 0[/tex]
[tex]P(X = 1) = C_{8,1}.(0.9)^{1}.(0.1)^{7} \approx 0tex]
[tex]P(X = 2) = C_{8,2}.(0.9)^{2}.(0.1)^{6} \approx 0[/tex]
[tex]P(X = 3) = C_{8,3}.(0.9)^{3}.(0.1)^{5} = 0.0004[/tex]
Then
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0 + 0.0004 = 0.0004[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0004 = 0.9996[/tex]
0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 6 cm in diameter. About how many square centimeters will she need to frost each cookie?
Answer:
9 pi
Step-by-step explanation:
Answer:
28.274 cm^2 (remember units are important)
Step-by-step explanation:
The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:
A = pi(r^2)
here the radius is 1/2 the diameter of 6 cm:
A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2
An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund
I really need major help .
Answer:
Step-by-step explanation:
A)
exponential , b/c it curves upwards
B)
a linear graph with have a constant number of growth, and an exponential, needs that number to change, so that's why the exponent is required.
C)
Maybe a temperature function that could follow the outdoor temp over a few hour period , say in the morning.. as the temp goes up in a linear fashion.
maybe the temp at 8 am would be 50 then at 9 it would be 55 and at 10 it would be 60 and at 11 it could be 65 , something like that seems like it would be a good working example of a linear function that was not chosen
Please help me with this
Answer:
πr2
Step-by-step explanation:
Answer:
i think the answer is
Step-by-step explanation:
πr^2
Which measurement can be used to describe the size of an angle?
90 grams
90 degrees
90 milliliters
90 inches
Do
Answer:
90 degrees
Step-by-step explanation:
grams is a unit of mass
degrees is a unit of angle measure
milliliters is a unit of volume
inches is a unit of length
Which events are mutually exclusive?
Answer:
2.option is the correct answer
Use I = PRT to find the total amount in the savings account.
$1555.00 at 8% for 2 years
PLEASE HELP ASAP
Answer:
[tex]\boxed {\boxed {\sf \$ 1803.80}}}[/tex]
Step-by-step explanation:
We are using the formula I=PRT and calculating simple interest.
[tex]I=PRT[/tex]
I is the interest, P is the principal or starting amount, R is the interest rate as a decimal, and T is the time in years.
We know that there is $1555.00 at 8% for 2 years. First, convert the interest rate to a decimal. Divide the rate by 100 or move the decimal place 2 spots to the left.
8/100 = 0.08 8. --> 0.8 --> 0.08Now we know all the values:
P= 1555.00 R= 0.08T= 2Substitute the values into the formula.
[tex]I= (1555.00)(0.08)(2)[/tex]
Multiply.
[tex]I=124.4(2)[/tex]
[tex]I=248.8[/tex]
The account earned $248.80 in interest, but the question asks for the total amount in the account. We must add the interest to the starting amount.
[tex]1555.00 +248.80[/tex]
[tex]1803.8[/tex]
After 2 years, the savings account had $1803.80
Step-by-step explanation:
Principal=P=1555
Rate of Interest=I=8%=0.08
Time=t=2
Interest=I=PRT
➜1555×0.08×2
➜248.8
Savings=P+I➜1555+248.8
➜1803.8
Please help
[tex]1. \: \sqrt{a + 2 = 4 } \\ \\ 2. \sqrt{2m - 8 - 4 = 2} \\ \\ 3. \sqrt{4 \times + 12 \: + 7 = 2} \\ \\ 4. \ \sqrt{17 - 4m = m + 1} \\ \\ 5. \sqrt{k - 1 = \sqrt{k - 5 } } \\ \\ 6. \sqrt{5n + 1 \: - 1 = 3 \sqrt{n} } \\ \\ 7. \sqrt[3]{\times = 3 } \\ \\ 8. \sqrt[3]{ \times - 1 = 4} [/tex]
Answer:
1. a = 14
2. m = 8
3. N/A
4. m = 2
5. N/A
6. n = 0, [tex]\frac{9}{25}[/tex], 0.36
7. x = 27
8. x = 65
Step-by-step explanation:
Help me with this please!
Simplify 5(2y+6)+(-24y)
Answer:
-14y + 30
Step-by-step explanation:
Tell me if I am wrong but I think this is it.
Answer:
-14y+30
Step-by-step explanation:
Hope this helpss
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
Answer:
$67.20
Step-by-step explanation:
"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.
0.70($96) = $67.20 is the sales price
If 4 television weigh 160 pounds , How much do 5 of those television weigh.
Must show your work
Answer:
Step-by-step explanation:
640
Answer:
200 pounds
Step-by-step explanation:
We can write a proportion to represent the problem. Let's take x as the weight of 5 televisions. If we know that 4 televisions weigh 160 pounds we can write: 4/160. Then, 5 televisions will weigh x pounds which is 5/x. Now, we can set up a proportion: 4/160 = 5/x
Cross multiply to get: 4x = 800
Isolate x: x = 800/4
Solve: x = 200
200 pounds
2. Write an equation in siope-interceptform to represente relationship in the table
Answer:
-4/-5
Step-by-step explanation:
you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x
The ratio of pants to shots that John has is 2:3. If John has 8
pairs of pants then how many pants and shorts does he have?
Answer:
12 shirts
Step-by-step explanation:
Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.
Check:
2/3 is equivalent to 8/12
Hope this helps :)
A class survey provides the data shown.
1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11
Which box plot represents the class?
Can someone help me out
The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is
Answer:
m∡ZA = 51°
m∡ZB = 39°
Step-by-step explanation:
∡ZB = 'b'
∡ZA = '12 + b'
b + 12 + b = 90
2b + 12 = 90
2b = 78
b = 39
12 + 39 = 51
HOW DO YOU SOLVE IT PLEASE 20/3 = 10/9 x
Answer:
!! , ' !!!
Step-by-step explanation:
ꜰɪʀꜱᴛ! ᴄᴏᴍʙɪɴᴇ ᴍᴜʟᴛɪᴘʟɪᴇᴅ ᴛᴇʀᴍꜱ ɪɴᴛᴏ ᴀ ꜱɪɴɢʟᴇ ꜰʀᴀᴄᴛɪᴏɴ:
/ = /
/ = / ᴊᴜꜱᴛ ʟɪᴋᴇ ᴛʜᴀᴛ!
ꜱᴇᴄᴏɴᴅ! ᴍᴜʟᴛɪᴘʟʏ ᴀʟʟ ᴛᴇʀᴍꜱ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴠᴀʟᴜᴇ ᴛᴏ ᴇʟɪᴍɪɴᴀᴛᴇ ꜰʀᴀᴄᴛɪᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ!! ᴇᴀꜱʏ ᴘᴇᴀꜱʏ:
/ = /
9⋅/= 9⋅/ ꜱᴇᴇ ᴇᴀꜱʏ ᴘᴇᴀꜱʏ!!
! :
9⋅/=!!!
ᴀʟᴍᴏꜱᴛ ᴅᴏɴᴇ!!
ꜰᴏᴜʀᴛʜʟʏ!! ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇ ɴᴜᴍʙᴇʀꜱ (ᴊᴜꜱᴛ ᴛʜᴀᴛ ꜱɪᴍᴘʟᴇ!):
9⋅/
˜”*°•.˜”*°• Which Would equal 60=10x!! •°*”˜.•°*”˜
ꜰɪꜰᴛʜ!! ᴅɪᴠɪᴅᴇ ʙᴏᴛʜ ꜱɪᴅᴇꜱ ᴏꜰ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴛᴇʀᴍ:
60/10 = 10x/10
ʟᴀꜱᴛʟʏ!!! ꜱɪᴍᴘʟɪꜰʏʏ:
=6
ᴛʜᴇɴ ʏᴏᴜ ɢᴇᴛ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀʀ!!
x=6 ʕ ˵• ₒ •˵ ʔ
ᴀɴʏᴡᴀʏꜱ ᴛᴏᴏᴅʟᴇꜱ!!
ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!
ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ ʕ ﾟ ● ﾟʔ
Can someone please help me I will mark u brilliant
Answer:
the first one
Step-by-step explanation:
The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.