Answers
I am going to attach a picture for the steps.
x=7.26
Related Questions
What is the area of the triangle below?
20 square units
15 square units
7.5 square units
30 square units
Answers
Answer:
7.5 square units
Step-by-step explanation:
Base of the triangle = 5 units
Height of the triangle = 3 units
Area of the triangle
[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]
Answer:
7.5
Step-by-step explanation:
I have an old alarm clock, on which the hands move at only 95% of the speed that they should do.
I need it to wake me up at 7.30 am, so every night, at 10.30pm, I change the time shown on the
clock so that it will show the correct time at 7.30 am when the alarm goes off.
(a) What time does the clock show at 10.30 pm, immediately before I change it?
(b) What time do I change it to?
Please help immediately!!!
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9514 1404 393
Answer:
a) 9:45 pm
b) 10:57 pm
Step-by-step explanation:
In the 15 hours between 7:30 am and 10:30 pm, the clock hands will have moved 15×0.95 = 14.25 hours = 14 hours and 15 minutes.
At 10:30 pm, the clock indicates 9:45 pm.
__
b) In the 9 hours between 10:30 pm and 7:30 am, the clock will have moved 9×0.95 = 8.55 hours, or 8 hours 33 minutes. That is, the clock needs to be set 27 minutes ahead of the actual time.
The clock need to be set to 10:57 pm.
_____
Alternate solution
At 95% speed, the clock loses 5%×60 minutes = 3 minutes each hour. In the 15 hours from morning to night, the clock will be 45 minutes slow. It will indicate 9:45 at 10:30 pm.
In the 9 hours from night to morning, the clock will lose 27 minutes so needs to be set 27 minutes fast. It should be set to 10:57 pm at 10:30 pm.
workout the following divisions:
Answers
Answer:
I think this is the same as yesterday.
This graph shows the solution to which inequality?
(3, 3)
(-3,-1)
Answers
Answer: The answer is b
Step-by-step explanation:
The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answers
Answer:
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
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 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.
Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.
This means that [tex]\mu = 90, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 90}{7}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
6 1 8 4 2 7
What comes next and why
Answers
Answer:
The answer to your question is:
4, 9
the Sealy family attended a baseball game. They offered food from the attendant working in their area. The food bill came to $62.50. The sealys decided to give the attendant an 18% tip. How much did the family pay for the meal.
Answers
Add the tip of 11.25 to total 62.50
Total bill paid was $73.75
Find the probability that when a couple has five children, at least one of them is a boy. (assume that boys and girls are equally likely.)
Answers
Answer:
The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32
The probability that when they have five children, at least one of them is a boy is 31/32
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome:
The probability that a couple will have a boy or girl among the five children = 1/2
If they gave birth to 5 children:
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)^n where:
n is the total number of children
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)ⁿ
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)⁵
The probability that when they have five children, at least one of them is a boy = 1- 1/32 = 31/32
Hence the probability that when they have five children, at least one of them is a boy is 31/32
Learn more here: https://brainly.com/question/13604758
here's a graph of a linear function write the equation that describes that function
Answers
Answer:
y=3/4x+2
Step-by-step explanation:
Hey yall I really need some help; Image attached below
- 50 points
Answers
Answer:
YAY an answer got deleted so i can add mine!
Step-by-step explanation:
like i said the answer is 72m2
to find the area you multiply 48 by 1.5
48 x 1.5 = 72
What is 2 ½ divided by ½ equal too
Answers
Answer:
it woulb be 1.25
what is 4 divided by 11 in long division
Answers
Answer:
0.3636363636
it keeps on continuing
HELP ASAP I AM DOING IREADY
Answers
Answer:
-11 / 4
11 / -4
-11/4
11/-4
Thats it. (A, B, D, E)
Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate.
Which statement about the two pricing plans is true?
A Photographer A equipment fee is $25\$ 25$25 less than Photographer B
B Photographer B equipment fee is $25\$ 25$25 less than Photographer A
C Photographer B charges $15\$ 15$15 per hour more than Photographer A
D Photographer A charges $15\$ 15$15 per hour more than Photographer B
Answers
Answer: D
Step-by-step explanation:
please help
answer choices:
A:0.125
B:0.20
C:0.80
D:1.0
Answers
9514 1404 393
Answer:
B: 0.20
Step-by-step explanation:
Green was selected 8 of the 40 times. We expect its probability of selection to be about ...
8/40 = 1/5 = 0.20 . . . p(green)
Answer:
B 0.2
Step-by-step explanation:
First find out how many marbles are in total
16 + 8 + 6 + 9 + 1 = 40
Then simply divide the number of green marbles by the total.
8 / 40 = 0.2
a ramp was constructed to load a truck. if the ramp is 10 ft long and the horizontal distance from the bottom of the ramp to the is 8 ft, what is the height from the ground to the top of the ramp?
Answers
a=8 ft
b=unknown
c=10ft
Square 10, to get 10,000
Square 8 to get 64
Subtract 64 from both sides
Then square root both sides to get x by itself. X = 99.7 ft
c=10ft
b=8ft
a=? aka height
10^2=a^2+8^2
100=a^2+64
a^2=100-64
a^2=36
a= √36
a=6 ft
Height from the ground to the top of the ramp is 6ft.
convert 9,78 h to hours, minutes and seconds
Answers
PLEASE HELP!!!!!!!!!! Which list of numbers is ordered from smallest magnitude to largest magnitude?
3.0.1-10]. 1-221
0.3.1-101.1-221
|-221.1-10.30
1-221.1-10.0.3
Answers
Answer:
the second one, 0,3,|-10|,|-22|
Step-by-step explanation:
The question is asking for the order smallest to largest. When a number is placed in absolute value, | |, it automatically becomes a positive number.
With that said, 0 is the smallest and 22 is the greatest.
The perimeter of a rectangular chicken coop is 44 feet. The width is w feet and the length is w + 4 feet. What are the length and width of the coop?
Answers
Answer:
w = 9 ft
l = 13 ft
Step-by-step explanation:
2w + 2(w+4) = 44
simplify:
4w + 8 = 44
4w = 36
w = 9 ft
l = 13 ft
look at picture for question. will mark brainilest please
Answers
Answer:
b. 3 pounds
.............
Anyone know how to do this?
Answers
Answer:
They cannot form a triangle.
Step-by-step explanation:
A triangle can only be formed if the sum of the lengths of any 2 sides are greater than the 3rd side. 2 + 7 is less than 15, so this cannot be a triangle.
Batteries R Us is a manufacturer of batteries and are testing a new production technique for their most popular battery type. It is known that the mean lifetime of these batteries made using the previous production technique was 69 hours. The standard deviation in battery lifetime is 5.0 hours and it is assumed that this has not changed. They would like to know whether mean battery lifetime has increased with the new production technique. The following sample data of battery lifetimes has been collected from a random sample of 40 batteries made using the new manufacturing technique.
Battery lifetimes (hours)
82.5 78.4 80.2 78.7 67.8 76 74.8 73.9 68.8 70.3 70.7 70.7 77.9
80.5 73.8 80.979.2 74.173.2 76.1 69 73 70.9 63.3 67.8 78.5 68.7
67.5 68.2 68.2 73.3 75.4 73.2 72.2 72.6 72 71.3 69.9 69.6 70.4
Required:
a. Conduct a hypothesis test to test whether the new manufacturing process has increased mean battery lifetime.
b. Calculate the test statistic.
Answers
Answer:
(a) Accept the alternate hypothesis
(b) [tex]t = 104.86[/tex]
Step-by-step explanation:
Given
[tex]\mu= 69[/tex]
[tex]\sigma = 5.0[/tex]
The sample data
Solving (a): Test whether the process increases the mean battery life
First, we state the null hypothesis
This states that the mean is 69
[tex]H_o :\mu = 69[/tex]
Next, the alternate hypothesis is to test that the mean has changed.
i.e [tex]H_a: \mu \ne 69[/tex]
Calculate the mean:
[tex]\mu = \frac{\sum x}{n}[/tex]
[tex]\mu = \frac{82.5 +78.4 +80.2 +78.7 +67.8 +76 +74.8 +73.9 +68.8 +70.3 +70.7 +70.7......+69.6 +70.4}{40}[/tex]
[tex]\mu = \frac{2923.5}{40}[/tex]
[tex]\mu = 73.0875[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]
[tex]\sigma= \sqrt{\frac{(82.5-73.0875)^2 +(78.4 -73.0875)^2 +(80.2 -73.0875)^2 +(78.7 -73.0875)^2 +......+(70.4-73.0875)^2}{40}}[/tex][tex]\sigma= \sqrt{\frac{776.76375}{40}}[/tex]
[tex]\sigma= \sqrt{19.41909375}[/tex]
[tex]\sigma= 4.407[/tex]
From the calculations above: The calculated mean 73.0875 is not the same as 69.
Hence, we accept the null hypothesis that: [tex]H_a: \mu \ne 69[/tex]
Solving (b): The test statistic
This is calculated as:
[tex]t = \frac{\mu}{\sigma/\sqrt n}[/tex]
This gives:
[tex]t = \frac{73.0875}{4.407/\sqrt {40}}[/tex]
[tex]t = \frac{73.0875}{4.407/6.325}[/tex]
[tex]t = \frac{73.0875}{0.697}[/tex]
[tex]t = 104.86[/tex]
Divide the given polynomial by given monomial.
Answers
Answer:
i have made it in above picture
Please find the area of of the shaded polygon
Answers
Answer:
8
Step-by-step explanation:
Plz help I will give 40 points and Brainly
Answers
Answer:
I don't think so man
Step-by-step explanation:
math .....................
If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choose
the chart that best evaluates the data.
Answers
Answer:
The answer is C
Step-by-step explanation:
Double g, then subtract f from the result
Answers
Answer:
2g - f
Step-by-step explanation:
Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem.
Answers
Answer:
Each shirt costs $ 10, while each short costs $ 15.
Step-by-step explanation:
Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:
Shirt = X
Short = Y
7X + 7Y = 175
6X + 7Y = 165
7X - 6X + 7Y - 7Y = 175-165
X = 10
7x10 + 7Y = 175
70 + 7Y = 175
7Y = 175 - 70
Y = 105/7
Y = 15
Thus, each shirt costs $ 10, while each short costs $ 15.
Answer:
3x + 4y =108
7x + 5y =114
Convert 7 kilometers into miles. Round your answer to the nearest
hundredth.
Answers
Answer:
4.34 miles
Step-by-step explanation:
7 kilometers = 4.3496 miles
4.3496 miles rounded to the nearest hundredth
= 4.34 miles
Answer: 4.35 is the correct answer
Step-by-step explanation:
1. If you earn $15 an hour and you work 35 hours a week, how much do you earn in 4 weeks?
Answers
Answer:
$2100
Step-by-step expla35 x 4 = 140 140 x 15 = 2100
