Answer:
probability of an electric power outage shipboard is 0.075 or 7.5 %
Step-by-step explanation:
Given the data in the question;
Probability of engine malfunction = 25% = 0.25
Probability of generator malfunction = 10% = 0.1
Probability of generator being repaired = 50% = 0.5
probability of an electric power outage shipboard = ?
To get the probability of an electric power outage shipboard, we use the expression;
probability of an electric power outage = 2[tex]_c_1[/tex] × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )
so we substitute in our given values;
probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )
probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75
probability of an electric power outage = 0.075 or 7.5 %
In a study on the healing process of a cut, researchers observed the time required to completely heal the cut. Ten rats were randomly divided into two groups of five. No treatment was done to one group and a medical treatment was given to the other group. The time spent (in hours) to completely heal the cut for each rat is given below. Control: 23, 27, 30, 26, 31Treatment: 21, 22, 18, 24, 30 Test if the mean duration of healing can be reduced by the medical treatment What is the value of the test statistic (round off to second decimal place)
Answer:
0.44
Step-by-step explanation:
Given the data:
Control: 23, 27, 30, 26, 31
Treatment: 21, 22, 18, 24, 30
The mean and variance using calculator :
Control :
Mean, x1 = 27.4
Variance, s1 = 10.3
n1 = 5
Treatment :
x2 = 23
s² = 20
H0 : μ1 = μ2
H0 : μ1 > μ2
The test statistic :
(x1 - x2) / √(s1²/n1) + (s2²/n2)
(27.4 - 23) / √(10.3²/5) + (20²/5)
4.4 / 10.060715
Test statistic = 0.437
Test statistic = 0.44
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Answer:
10m
Step-by-step explanation:
It should be 10m because the way to calculate are of a rectangle is length times width equals area (lw=area), and 12 times 10 is 120.
Answer and Step-by-step explanation:
Since this is a rectangle, we know to find the area we would do length times width.
TO find the width, we need to divide the area by the length.
120 divided by 12 equals 10m.
10 = ?
#teamtrees #PAW (Plant And Water)
please help will give brainliest. Links will be banned
Answer:
400 m^2Step-by-step explanation:
Area = 30 x 15 - 10 x 5
Area = 450 - 50
Area = 400 m^2
Hope that helps! :)
-Aphrodite
Answer:
400 m^2
Step-by-step explanation:
the figure is composed by a square and a rectangle
Area of the square = side^2 = 10^2 = 100 m^2
area of the rectangle = base x height = 20 x 15 = 300 m^2
total area = 300 + 100 = 400m^2
the ages of student volunteers at an event are 13, 11, 12, 15, 16, 11, 12, 14, , and 11. find the range age of students
Answer:
11-16 is the range
Step-by-step explanation:
You cut a loaf of plantain bread into 20 equal slices . you and friends eat 3/10 of the bread . you want to put each leftover slice into its own bag. How many bags do you need
Answer:
14 bags.
Step-by-step explanation:
20 equal slices, so 20/20.
You eat 3/10 of it. 3/10 is equivalent to 6/20.
20/20 - 6/20 is 14/20.
You need 14 bags.
One circle has a circumference half as large as that of a
second circle. Which ratio compares the diameter of the
first circle to the diameter of the second circle?
Answer:
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Circumference of a circle:
The circumference of a circle of diameter d is given by:
[tex]C = \pi d[/tex]
In which d is the diameter.
One circle has a circumference half as large as that of a second circle.
We have that:
[tex]C_1 = \frac{C_2}{2}[/tex]
So
[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]
Simplifying by [tex]\pi[/tex]
[tex]d_1 = \frac{d_2}{2}[/tex]
[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
Help
Translate the following statement into an equation and solve: four times a number plus 5 is equal to 29.
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=25°, and MK = 15 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
16.6
Step-by-step explanation:
LINKS WILL GET REPORTED NEED HELP PLS
Answer:
Median
Step-by-step explanation:
You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)
What number is equivalent to
3 to the 2nd power + 6 – (14 – 5 × 2) ÷ 4
A
234
B
1012
C
14
D
15
Find the sum of the interior angles…. Please help me ASAP. No bots
Maria Brought 3 cakes of the same size for her birthday. half of one cake was left and one-third of qther. how much cake was left over altogether?
Answer:
7/12 (seven over twelve)
Step-by-step explanation:
1/3 -1/4 =4/12- 3/12=1/12
1/2+1/12=6/12+1/12=7/12
so the answer is 7/12
hopefully this helps
ASAP Find the domain f(x)= 1/x
I need help with this!
The probability of a spinner landing on red is 0.15. The probability of the same spinner landing on blue is 0.45.
Which statements describes the likelihood of these events?
If you cannot see, zoom in!
Do not answer if you don’t know the answer, whoever knows the answer will get Brainliest! :)
The Probability of landing spinner on Blue is more likely than Red.
What is the Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
Here, the probability of a spinner landing on red is 0.15 or 15%
The probability of the same spinner landing on blue is 0.45 or 45%
On comapring both the probabilities we can say that,
probability of a spinner landing on red < probability of spinner landing on blue
15 % < 45 %
Thus, the Probability of landing spinner on Blue is more likely than Red.
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b) The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle. (10 points)
[tex] \div 7841562130. = 98[/tex]
Answer:
123459c
Step-by-step explanation:
round
PLEASE HELP RIGHT NOW!!! NO LINKS OR ANYTHING, PLEASE JUST ANSWER IT AND TELL ME!!! THANKS!!! ((It has to be an answer. Cant right anything like “isjwiwjwk”. You have to answer))
Answer:
the answers would be A, D, E
The price of a house was #2.3, 400,006 in 201 At the end of each year, the price was increases by 6% find the price of the house after 3 years Find the price of the house after 5 years
After 3 years, the price of the house would be $2,494,822.48. After 5 years, the price of the house would be $2,830,530.94.
What is price?Price is the value of a product or service that an individual or business is willing to accept in exchange for a good or service. It is typically determined by the market forces of supply and demand. Prices are usually expressed in monetary terms, but can also be expressed in terms of labor time or other resources. Prices can vary widely depending on the availability of a good or service, the amount of competition, and other factors.
To calculate the price of the house after 3 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 3. Therefore, the price of the house after 3 years is P x (1 + 0.06)^3, which equals to $2,494,822.48.
To calculate the price of the house after 5 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 5. Therefore, the price of the house after 5 years is P x (1 + 0.06)^5, which equals to $2,830,530.94.
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Goran wants to build a square picture frame with sides that are
5.25 inches long. Natalie wants to build a square sandbox and needs
11 times the amount of wood that Goran needs to build his frame.
They have 4 pieces of wood that are each 65.5 inches long. How much
wood will they have left over after making the frame and sandbox?
The wood left over after making the frame and the sandbox is 10 inches.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The total amount of wood.
= 4 x 65.5
= 262 inches.
Frame:
Side = 5.25 inches
The perimeter of the frame.
= 4 x 5.25
= 21 inches
Now,
Sandbox:
The wood used for the sandbox.
= 11 x 21
= 231 inches
The remaining wood.
= 262 - (21 + 231)
= 262 - 252
= 10 inches
Thus,
The remaining wood is 10 inches.
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HELPPP THIS IS MY LAST DAY I SERIOUSLY NEED HELP
Answer:
see below
Step-by-step explanation:
number 1 goes to 769.5=B(9.5) then to 81
number 2 goes to v=90.25(9.5) then to 857.375
number 3 goes to 95=19(h) then to 5
Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches.
Required:
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
b. What percentage of men are SHORTER than 6 feet 3 inches?
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
d. What percentage of women are TALLER than 5 feet 11 inches?
Answer:
a. Z = 1.99
b. 97.67%
c. Z = 2.56
d. 0.52%
Step-by-step explanation:
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.
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have [tex]\mu = 69.7, \sigma = 2.66[/tex]
6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 69.7}{2.66}[/tex]
[tex]Z = 1.99[/tex]
b. What percentage of men are SHORTER than 6 feet 3 inches?
The proportion is the p-value of Z = 1.99.
Looking at the z-table, Z = 1.99 has a p-value of 0.9767.
0.9767*100% = 97.67%, which is the answer.
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have [tex]\mu = 64.5, \sigma = 2.54[/tex]. We have to find Z when X = 5*12 + 11 = 71. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{71 - 64.5}{2.54}[/tex]
[tex]Z = 2.56[/tex]
d. What percentage of women are TALLER than 5 feet 11 inches?
The proportion is 1 subtracted by the p-value of Z = 2.56.
Looking at the z-table, Z = 2.56 has a p-value of 0.9948.
1 - 0.9948 = 0.0052
0.0052*100% = 0.52%, which is the answer.
Help please thank you
Answer:
no
yes
yes
0.92 cents
4.72
9.26
Step-by-step explanation:
Find the values at the 30th and 90th percentile for each data set
6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581.
What is 21/cos66 round answer to the 2nd place.
Assignment due soon please help me.
Answer:
-20.99
Step-by-step explanation:
Which expression is equivalent to 3/2?
On solving the provided question we can say that expression which is equivalent form to 3/2 is (5/2-1).
What is Equivalent form ?Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Equivalent systems refer to sets of equations with the same solution. We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.
When two expressions can be reduced to a single third expression or when one of the expressions can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.
The number is 3/2
The expression which is equivalent to 3/2 is (5/2-1)
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(c) Ben changes £800 to Euros before he goes on holiday.
£1 = 1.25 Euro
He spends 895 Euros.
He changes the Euros that he has left to Pounds (£).
The exchange rate is now £1 = 1.40 Euro
How many Pounds does he get back?
Amount of pounds that Ben get back is £75.
What is Exchange Rate?Exchange rate is defined as the value of a currency with respect to another currency in order to convert the currency.
Ben changes £800 to Euros before he goes on holiday.
Before holiday, exchange rate is, £1 = 1.25 Euro
£800 = 800 × 1.25 Euros = 1000 Euros
He spends 895 Euros.
Euros left = 1000 - 895 = 105 Euros
Now, the exchange rate is £1 = 1.40 Euro.
or 1.40 Euro = £1
⇒ 1 Euro = £ 1/1.40
⇒ 105 Euros = £ (1/1.40) × 105 = £75
Hence Ben got £75 of pounds back.
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Jim purchased x iced teas and y soft pretzels at a cricket game. He spent a
total of $32. The equation below describes the relationship between the
number of iced teas and the number of soft pretzels purchased.
3x+2y=32
The ordered pair (4, 10) is a solution of the equation. What does the solution
(4, 10) represent?
HELPPPP
The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.
How to solve linear equation word problems?The equation that describes the relationship between the
number of iced teas and the number of soft pretzels purchased is;
3x + 2y = 32
Where;
x represents the iced teas.
y represents soft pretzels at a cricket game
Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;
x = 4 and y = 10 is a solution.
What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game
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Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick
Answer:
$28.29
Step-by-step explanation:
1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29
Last year, Chau had $10,000 to invest. He invested some of it in an account that paid
5% simple interest per year, and he invested the rest in an account that paid 8%
simple interest per year. After one year, he received a total of $590
in interest. How much did he invest in each account?
First Account=
Second Account =
Answer:
Account with 8% interest per year: $3000
Account with 5% interest per year: $7000
8% of 3000 = 240
5% of 7000 = 350
240+ 350 = 590
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r[tex])^{x-h}[/tex]+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h[tex])^{x-h}[/tex]+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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