Answer:
a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.
b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.
Step-by-step explanation:
Question a:
20% of employees engage in physical exercise.
This 20% is composed by:
8% of 60%(males)
x% of 100 - 60 = 40%(females).
Then, x is given by:
[tex]0.08*0.6 + 0.4x = 0.2[/tex]
[tex]0.4x = 0.2 - 0.08*0.6[/tex]
[tex]x = \frac{0.2 - 0.08*0.6}{0.4}[/tex]
[tex]x = 0.38[/tex]
0.38 = 38%
Probability of being a female who engages in exercise:
40% are female, 38% of 40% engage in exercise. So
0.38*0.4 = 0.152
0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.
B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?
40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So
0.62*0.4 = 0.248
0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.
We're working on Area of a Triangles on Coordinate Grids what's the area of this triangle here? The screenshot attachment is the problem that needs to be solved. If someone could answer quickly I would appreciate it! This is geometry by the way.
Answer:
11.5 square units
Step-by-step explanation:
It’s a 4 by 6 rectangle, so the total is 24. Then subtract the three little triangles on the outside. (Much easier than doing the main triangle).
1/2x1x4=2
1/2x1x6=3
1/2x3x5=7.5
2+3+7.5=12.5
24-12.5=11.5
The probability of randomly selecting a female customer from a group of 34 customers in a supermarket is 85%. Which of the following describes the likelihood of selecting a female customer? A. unlikely B. likely C. neither likely nor unlikely
Answer:
b.likley
Step-by-step explanation:
We can look at this like if we have less than a 50% probability it would be unlikley, vice versa if we have a more than a 50% probability than it will be likley. and if we had exactly 50% iit will be none, but in this case we have 85% which is more than 50% so its likley. hope this helped bae
Can some one help me please? I really need some help with it.
Answer:
B. 273
Step-by-step explanation:
First we have to find the volume of the pencil box.
The volume formula for a rectangular prism is lwh (Length x width x height). Length (6 1/2) x Width (3 1/2) x Height (1 1/2) = 34.125 (Volume of the pencil box)
Next, we have to find the volume of the cube.
The volume formula of a cube is the same as the volume formula for a rectangular prism (lwh). However, a cube's side lengths are all the same. This means that the volume of the cube would be Length (.5) x Width (.5) x Height (.5) = .125
Last, we have to divide the volume of the pencil box by the volume of the cube.
34.125 / .125 = 273 or B.
The length of a rectangle is 6.7 cm, correct to 2 significant figures. For the length of the rectangle
write down the lower bound
Answer:
[tex]Lower\ Bound = 6.65cm[/tex]
Step-by-step explanation:
Given
[tex]Length = 6.7cm[/tex] to 2sf
Required
The lower bound
The lengths are approximately 6.7cm to 2sf are:
[tex]Length = \{6.65 \to 6.74\}[/tex]
Such that:
[tex]Length = \{Lower\ Bound \to Upper\ Bound\}[/tex]
So, by comparison:
[tex]Lower\ Bound = 6.65cm[/tex]
Plzzz help me well mark brainliest if correct!!...
Answer:
c
Step-by-step explanation:
because I said so
Answer: C, Third grade girls
Step-by-step explanation:
The tallest bar graph indicates the most tickets sold, which is C
can someone help me please?
HELP FAST I JUST NEED ANSWER
Answer:
449.60 or yellow
Step-by-step explanation:
Find the slope of the line that passes through these points.
(2, 2) and (4, 4)
Answer:
1
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4-2)/(4-2)
= 2/2
= 1
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh 2
Answer:
28
Step-by-step explanation:
Please help me!!!
just ignore all the writing
Answer: 270 cm^2
Step-by-step explanation: Its just the 3 sides multiplied altogether
Sam applies a force at 30° to the horizontal to move a football tackling dummy 10 m horizontally.
He does 160 J of mechanical work. Determine the magnitude of the force by using vector dot product.
Answer:
[tex]F=\frac{32\sqrt{3}}{3}\text{\:or\:} \approx 18.48\:\text{N}[/tex]
Step-by-step explanation:
We can find the horizontal component of force he applied by using the formula for work:
[tex]W=F\Delta x[/tex]
Solving for force, we have:
[tex]160=F\cdot 10,\\F=16\:\text{N}[/tex]
However he applied the original force at an angle of [tex]30^{\circ}[/tex] to the horizontal. This force of 16 newtons is only the horizontal component of that force. To find the magnitude of the original force, we can use basic trigonometry:
[tex]\cos 30^{\circ}=\frac{16}{x},\\x=\frac{16}{\cos 30^{\circ}},\\\\x=\frac{16}{\frac{\sqrt{3}}{2}},\\\\x=16\cdot\frac{2}{\sqrt{3}}=\frac{32}{\sqrt{3}}=\boxed{\frac{32\sqrt{3}}{3}}[/tex]
how am i Invisible???????????????/
Answer:
being blind
Step-by-step explanation:
if you are blind you can not see your self so there for you are invisable
Answer:
Have you tried to put a profile picture that's bold and bright? and not white and blank? maybe it's because its a brainly techno error
Step-by-step explanation:
One number is 9 more than another number, and the sum of the two numbers is 35.
What is the value of the smaller number?
One number = x
Other number = 9 + x
Sum of the numbers = 35
Value of the smaller number (x) = ?
[tex]9 + x + x = 35 \\ 9 + 2x = 35 \\ 2x = 35 - 9 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13[/tex]
➟ The value of the smaller number is 13Answer:
The value of the smaller number would be 13.
Step-by-step explanation:
There are two numbers, one that is greater by 9 than the other. In order to find the values of the two numbers, set the smallest number as the variable [tex]x[/tex], you will now get the two numbers [tex]x[/tex] and [tex]x + 9[/tex] (This represents the second number that is greater than the first number by 9). Since these two values add up to 35, you can now make the equation [tex]x + (x+9)=35[/tex]. The steps to solve the equation will be the following: [tex]x + (x+9)=35[/tex] ⇒ [tex]x + x + 9 = 35[/tex] ⇒ [tex]2x+9=35[/tex] ⇒ [tex]2x = 26[/tex] ⇒ [tex]x=13[/tex]. Since the variable [tex]x[/tex] was originally set to represent the smaller number out of the two, that means the value of the smaller number would be 13.
Give three solutions to the equation y = - 1/2x -2. Give your solutions as ordered pairs, using reduced fractions or integers for coordinates.
Answer:
To find solutions to an equation, we can choose any values for x, and then use the equation to find the value of y to make an ordered pair in the form (x,y). First, let's choose x = 1. y = 3(1) + 4 = 7 The ordered pair is (1,7) Let's choose x = 4. y = 3(4) + 4 = 16 The ordered pair is (4,16) Let's choose x = 11 y = 3(11) + 4 = 37 The ordered pair is (11,37) The three solutions we found are: (1,7) (4,16) (11,37) Note that we could choose any values for x that we like. In this case we chose x = 1, x = 4, and x = 11, but any values of x will work fine.
i hope this helps sorry if i am wrong
Step-by-step explanation:
What number goes into 12 20 and 16
Answer:
2
Step-by-step explanation:
Find the coordinates of T' after the given translation.
O a. T' (-5,-3)
O b. T' (-3.4)
O c. T'(-5, -1)
O d. T' (-4,2)
A bus leaves Dhaka on Saturday night and is supposed to arrive at Cox’s Bazar at 08 17
on Sunday morning. If the estimated journey time is 10h 43min, at what time should
the bus leave from Dhaka? pls h elp me
Answer:
9:34 pm
Step-by-step explanation:
First:
8:17 am
Go back 12 hours
8:17 pm
Round to 8:20
(keep the 3) Minus 43-17=26(3 is in this)
Therefore, 9:34 pm
Sorry if this doesn't make sense, it's hard to explain haha
A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = ✔ 8/12 P(R | B) = ✔ 4/11 P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent
Answer:
P(B) = 8/12
P(R | B) = 4/11
P(B ∩ R) = 8/33
The probability that the first ball chosen is black and the second ball chosen is red is about 24 percent.
Step-by-step explanation:
I just got it right on edge 2020. Good luck with school!!
The probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, a box contains four red balls and eight black balls.
Let event B be choosing a black ball first and event R be choosing a red ball second.
Here, total number of outcomes = 4+8 =12
P(B) = 8/12 and P(R)=4/12
We know that, P(R|B) =P(R∩B)/P(B)
Here, P(R∩B)= 8/12 × 4/12
= 2/3 × 1/3
= 2/9
So, P(R|B) =2/9 × 12/4
= 2/3 ×100
= 66.67%
Therefore, the probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ3
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service.
1. State the appropriate null and alternate hypotheses.
2. Find the P-value.
3. Should the pump be put into service? Explain.
Answer:
1.
The null hypothesis is [tex]H_0: \mu = 4[/tex]
The alternate hypothesis is [tex]H_1: \mu > 4[/tex]
2.
The p-value of the test is of 0.0045.
3.
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
Step-by-step explanation:
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).
At the null hypothesis, we test that the mean is 4, so:
[tex]H_0: \mu = 4[/tex]
At the alternate hypothesis, we test that the mean is more than 4, that is:
[tex]H_1: \mu > 4[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
4 is tested at the null hypothesis:
This means that [tex]\mu = 4[/tex]
In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.
This means that [tex]n = 8, X = 6.4, s = 1.9[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}[/tex]
[tex]t = 3.57[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.
With the help of a calculator, the p-value of the test is of 0.0045.
3. Should the pump be put into service?
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
BEEN ASKING FOR AN HOUR NOW!! the following two triangles are similar to each other. find the length of the missing side.
Answer:
19
Step-by-step explanation:
it is 1.9:1
10×1.9 is 19
Find the area of the figure
area: cm2
Answer:
132cm ^ 2
Step-by-step explanation:
First solve the top rectangle, 4x7 = 28cm
then solve the bottom rectangle, 8x7 = 56cm
then solve the triangle, we know the entire bottom is 19cm, and 7 is subtracted, thereforth leavin 12, since there is 2 triangles its a base of 6, with a height of 8 making 48cm (and since there is 2 triangles no need to divide by 2)
28+56+48 = 132cm^2
-- Gage Millar, Algebra 2 Tutor
Answer:
132 cm 2
Step-by-step explanation:
did the test
Can somebody please help me out please my grads are bad
Answer:
a) mode = 7
b) range = 8
Step-by-step explanation:
7 appears the most in the dataset, making it the mode
8 is because of 9 (highest value) minus one (lowest value) = 8
How many solutions does the following linear equation have?
y = -2x -4
y = 1/2x - 5
Answer:
x=2/5, y=-24/5. (2/5, -24/5).
Step-by-step explanation:
y=-2x-4
y=1/2x-5
----------------
-2x-4=1/2x-5
-2x-1/2x-4=-5
-4/2x-1/2x=-5+4
-5/2x=-1
5/2x=1
x=1/(5/2)
x=2/5
y=1/2(2/5)-5
y=1/5-5
y=1/5-25/5
y=-24/5
find the surface area of the composite figure
Answer:
791.7 in.²
Step-by-step explanation:
Surface area of the composite figure = ½(surface area of sphere) + surface area of cylinder
= ½(4πr²) + (2πr(h + r)
Where,
r = ½(12) = 6 in.
h = 9 in.
SA = ½(4*π*6²) + (2*π*6(9 + 6)
SA = ½(452.39) + 565.49
SA = 791.685
SA = 791.7 in.² (nearest tenth)
The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made at the end of each quarter with interest at 6% compounded quarterly.
Answer:
$38,562.5
Step-by-step explanation
Using the compound interest formula
A = P(1+r/n)^nt
P is the principal = $125,000
r is the rate = 6% = 0.06
time t = 5years
n = 0.25 (quarterly payment)
Substitute
A = 125000(1+0.06/0.25)^5(0.25)
A = 125000(1+ 0.24)^1.25
A = 125000(1.24)^1.25
A = 125000(1.3085)
A = 163,562.5
Hence the interest earned = 163,562.5 - 125000
interest earned = $38,562.5
Please help i need the answer done step by step
Answer:
x = 40
Step-by-step explanation:
So a triangle is 180 degrees
and thats a right triangle = 90 degrees
you have three corners: 90, 50 & x
90 + 50 + x = 180
140 + x = 180
subtract 140 from both sides
x = 40
hope this helps
like this up !
Answer:
40 is the asnwer
Step-by-step explanation:
1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!
2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!
3. 180 – 140 is equal to 40!
4. Therefore, the 3rd angle is 40!
5. Not confident with my ansawer? Proof time!
6. 40 + 50 + 90 = 180
7. Since this all adds up to 180, it is true!
Have a great day!
Find the sum of 5/8 + 3/10 *
Answer:
37 / 40 or 0. 925
Step-by-step explanation:
5/ 8 + 3 / 10
= 37 / 40
= 0. 925
Mark brainliest pls
This might acually affect Lebron's Legacy
Determine The Length Of the diagonal in the rectangle below
Answer:
It would be 25.
Step-by-step explanation:
By knowing that opposite sides of a rectangle are congruent, you can start by making a right triangle, with 7 and 24 as the legs.
Next, employ Pythagorean Theorem (a^2+b^2=c^2) to get the diagonal.
7^2+24^2=c^2
49+576=c^2
625=c^2
25 = c
It would be 25.
The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days.
(1) Using the 68-95-99.7% rule, between what two lengths do the most typical 68% of all pregnancies fall 95%, 99.7%?
(2) What percent of all pregnancies last less than 250 days?
(a) What percentage of pregnancies last between 241 and 286 days?
(b) What percentage of pregnancies last more than 286 days?
(c) What percentage of pregnancies last more than 333 days?
(3) What length cuts off the shortest 2.5% of pregnancies?
(4) Find the quartiles for pregnancy length.
(5) Between what two lengths are the most typical 72% of all pregnancies?
Answer:
1) The most typical 68% of pregnancies last between 250 and 282 days, the most typical 95% between 234 and 298 days, and the most typical 99.7% between 218 and 314 days.
2) 15.87% of all pregnancies last less than 250 days
2a) 83.5% of pregnancies last between 241 and 286 days
2b) 10.56% of pregnancies last more than 286 days.
2c) 0% of pregnancies last more than 333 days
3) A pregnancy length of 234.6 days cuts off the shortest 2.5% of pregnancies.
4) The first quartile of pregnancy lengths is of 255.2, and the third quartile is of 276.8 days.
5) The most typical 72% of all pregnancies last between 248.72 and 283.28 days.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 266 days and a standard deviation of 16 days.
This means that [tex]\mu = 266, \sigma = 16[/tex]
(1) Using the 68-95-99.7% rule, between what two lengths do the most typical 68% of all pregnancies fall 95%, 99.7%?
68%: within 1 standard deviation of the mean, so 266 - 16 = 250 days to 266 + 16 = 282 days.
95%: within 2 standard deviations of the mean, so 266 - 32 = 234 days to 266 + 32 = 298 days.
99.7%: within 3 standard deviations of the mean, so 266 - 48 = 218 days to 266 + 48 = 314 days.
The most typical 68% of pregnancies last between 250 and 282 days, the most typical 95% between 234 and 298 days, and the most typical 99.7% between 218 and 314 days.
(2) What percent of all pregnancies last less than 250 days?
The proportion is the p-value of Z when X = 250. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{250 - 266}{16}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.1587*100% = 15.87%.
15.87% of all pregnancies last less than 250 days.
(a) What percentage of pregnancies last between 241 and 286 days?
The proportion is the p-value of Z when X = 286 subtracted by the p-value of Z when X = 241. So
X = 286
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{286 - 266}{16}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 241
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{241 - 266}{16}[/tex]
[tex]Z = -1.56[/tex]
[tex]Z = -1.56[/tex] has a p-value of 0.0594.
0.8944 - 0.0594 = 0.835*100% = 83.5%
83.5% of pregnancies last between 241 and 286 days.
(b) What percentage of pregnancies last more than 286 days?
1 - 0.8944 = 0.1056*100% = 10.56%.
10.56% of pregnancies last more than 286 days.
(c) What percentage of pregnancies last more than 333 days?
The proportion is 1 subtracted by the p-value of Z = 333. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{333 - 266}{16}[/tex]
[tex]Z = 4.19[/tex]
[tex]Z = 4.19[/tex] has a p-value of 1
1 - 1 = 0% of pregnancies last more than 333 days.
(3) What length cuts off the shortest 2.5% of pregnancies?
This is the 2.5th percentile, which is X when Z = -1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - 266}{16}[/tex]
[tex]X - 266 = -1.96*16[/tex]
[tex]X = 234.6[/tex]
A pregnancy length of 234.6 days cuts off the shortest 2.5% of pregnancies.
(4) Find the quartiles for pregnancy length.
First quartile the 25th percentile, which is X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 266}{16}[/tex]
[tex]X - 266 = -0.675*16[/tex]
[tex]X = 255.2[/tex]
Third quartile is the 75th percentile, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 266}{16}[/tex]
[tex]X - 266 = 0.675*16[/tex]
[tex]X = 276.8[/tex]
The first quartile of pregnancy lengths is of 255.2, and the third quartile is of 276.8 days.
(5) Between what two lengths are the most typical 72% of all pregnancies?
Between the 50 - (72/2) = 14th percentile and the 50 + (72/2) = 86th percentile.
14th percentile:
X when Z = -1.08.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.08 = \frac{X - 266}{16}[/tex]
[tex]X - 266 = -1.08*16[/tex]
[tex]X = 248.72[/tex]
86th percentile:
X when Z = 1.08.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.08 = \frac{X - 266}{16}[/tex]
[tex]X - 266 = 1.08*16[/tex]
[tex]X = 283.28[/tex]
The most typical 72% of all pregnancies last between 248.72 and 283.28 days.