The value of length m is 2.13cm
What is cosine rule?In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
therefore m² = k²+l²+2klCos M
m² = 4.4²+3.1²+ 2× 3.1×4.4cos 150
m² = 19.36+9.61+27.28(-0.8660)
m² = 28.97-23.62
m² = 5.35
m = √5.35
m = 2.31 cm( nearest tenth)
Therefore the measure of length m is 2.31 cm
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A marketing manager wishes to determine whether a relationship exists between the number of cereal boxes (Y) sold at the company's retail store and the number of clerks on duty (X) per day. The sample data below will be used to examine this empirical problem. Calculate the slope of the regression line.
X Y
3 4
2 4
2 2
1 2
a. 0
b. 1
c. 2
d. None of the above
Answer:
I’m very unsure but I think it is b
Step-by-step explanation:
Can someone answer these 3? I’ll reward double points + brainalist
If the soccer field is 60 yards by 100 yards and the team has to run around it twice how many yards will they run?
Answer:
640 yards
Step-by-step explanation:
60(4)+100(4)=640
they will run each length 4 times to create 2 laps
(60+100+60+100)+(60+100+60+100)
lap 1 + lap 2
please help!!!
Find the lateral surface area of a cylinder with a diameter of 21 inches and a height of 15 inches.
Answer:
989.6inches^2
Step-by-step explanation:
A) Radius = You half the diameter so... 21/2
Radius = 10.5
Height = 15
A = 2 x pi x d/2 x h
B) 2 x pi x 21/2 x 15
A = 989.6inches^2
An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________
a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)
Answer:
a. committed a type 1 error
Step-by-step explanation:
The correct option is - a. committed a type 1 error
Reason -
Type 1 error occurs when a true null Hypothesis is rejected
Type 2 error occurs when a false null Hypothesis is accepted
Now,
Let us state that,
The null hypothesis and alternate hypothesis is
H0 : There is no difference between the mean lifetimes of the new and old designs
H1 : There is a difference between the mean lifetimes of the new and old designs
Now,
As there is no difference between the mean lifetimes of the new and old designs.
⇒ The null hypothesis is true.
But p value suggests that null hypothesis should be rejected
∴
We have committed a Type 1 error that is rejecting a true null hypothesis.
So,
The correct option is - a. committed a type 1 error
Can someone please help me
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches. Find the measure of ∠P to the nearest 10th of a degree.
Answer:
79.5
Step-by-step explanation:
a^2 =b^2+ c^2-2bc cos A
cos p = 73^2+35^2-75^2/2(73)(35)
cos p= 9229/5110
cosp=79.5
The measure of ∠P to the nearest 10th of a degree is 79.5
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
We are given that In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches.
u² = s² + t² - 2(s)(t)·cos U
Now substituting;;
cos p = 73²+35²-75² /2(73)(35)
cos p= 9229/5110
cosp=79.5
The measure of ∠P is 79.5
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In the cafeteria, there are 50 seats, of which, 22 seats are empty and 28 seats are occupied.
What is the ratio of occupied seats to empty seats?
14:25
a
11:25
11:14
14:11
Answer
2
Step-by-step explanation:
Select the three statements that give benefits of having a savings account.
if there were an emergency, I would have the money to cover expenses
find the diameter and of each circle. A) circumference = 118mm B) circumference = 1m
URGENT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP
Answer:
I think its D). but im not pretty sure.
Step-by-step explanation:
based on the formula given:
area: 8 x 8: 64cm²
1/3 x (64) x 9 : 192cm³
3. An athlete jumped 7.7 feet, which was 2.3 feet
higher than the previous jumper. How high did
the previous athlete jump.
Answer:
5.4 feet
Step-by-step explanation:
Hope this helped!!
Answer:
5.4 feet
Step-by-step explanation:
7.7-2.3=5.4 feet
The time spent watching a movie. Discrete or Continuous?
Answer:
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The time spent watching a movie is an example of Continuous function.
What is the difference between Discrete and Continuous?We gather information to look for connections, patterns, and other ideas. For instance, if you keep track of how many push-ups you perform every day for a month, your overarching objective is to assess your development and rate of advancement. For example heart beat rate, signal, etc.
Numerical information that is continuously referred to the undefined variety of measurements that might be taken across two realistic sites. For example - time, wind, temperature, pressure, etc.
Despite the fact that these numbers are often gathered via accurate measurements, they are also not necessarily neat and orderly as those in categorical data.
The time spent watching a movie is an example of Continuous function.
More about the Discrete and Continuous link is given below.
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find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)
Answer:
13.20 yearsStep-by-step explanation:
Investment P = $3000Final amount F = $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?Formula:
F = P(1 + r/4)^(4t)Solve for t:
8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20A number cube is rollled 144 times. How many times would you expect it to land on 5?
Answer:
28.8 times if you divide 144 by 5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I think it is 24 because if you divide 144 by the number of sides the dice has (6) it would be 24
WILL MAKE BRAINLIEST PLS
what are the slopes of each line?
Question 3: A
Question 4: D
Question 5: B
Question 6: D
3 pound of apples for $4.59.
Answer:
each apple would be $1.53
Answer:
$1.53 per pound of apple
Step-by-step explanation:
I'm assuming the question is what is the cost of 1 pound
Set up a equation:
3pounds/$4.59 = 1pound/x
Variable x = cost for one pound
3/4.59 = 1/x
Cross mulitply
3 × x = 4.59 × 1
3x = 4.59
Divide both sides by 3
3x ÷ 3 = 4.59 ÷ 3
x = 1.53
At a school district there are 55 employees. If next year the number of employees increases by
20%, what will be the new amount of employees?
Answer:
66
Step-by-step explanation:
A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer:
66/150
Step-by-step explanation:
So the question asks the probabilty for buttons.
so we see that 23 has buttons so we discard for now,
35 has no buttons but a zip so we acknowledge it
49 has no buttons and no zips so we keep it too.
now we do 35+49 which is 84.
since there is 150 bags and 84 of those bags dont have buttons, the rest must do.
150-84=66
so there are 66 bags with buttons so we put this in a fraction -> 66/150
Tangent (non necessary for the question persay):
since we cant simplify you keep it as 66/150. If you are doing this on mathswatch, then remeber if there is a question like this next and you can simplify, simplify.
for this question it is not necessary.
Mathswatch users only:
Also a trick for mathswatch if you get it wrong, go to task bar, search the task name (it will be below search/taskbar) then type number press enter and you have 2 more turns. You can repeat this how many times you need to.
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have a good day.
The probability that the bag is selected at random have buttons is 11/25.
What is probability?Probability is the chance of happning an event among all the events possible. It lies between 0 and 1. It is calculated by dividing number of items by total number of items.
How to calculate probability?We have been given that company makes 150 bags out of which 23 of the bags have buttons but no zips and we have to calculate the probability that a bag chosen at random have buttons.
35 of the bags have zips but no buttons.49 of the bags have neither zips nor buttons.so we see that 23 has buttons so we discard for now, 35 has no buttons but a zip so we can say that it that 49 has no buttons and no zips so we keep it too.now we do 35+49 which is 84. Because there are 150 bags and 84 of those bags dont have buttons, the rest must do.
150-84=66, we got that there are 66 bags with buttons so we put this in a fraction= 66/150.
Probability=66/150
Hence the probability of getting a bag that has buttons is 66/150.
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Soes a square have any parallel lines? If yes how many
Answer:
2 sets of parallel lines
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2
if im correct can i get crown
Solve the system of equations by using substitution or elimination. Show work to support your answer by typing in the box or using Scratchpad.
y = x + 2
y = 2x + 3
3. $595 refrigerator; 22% discount.
Show the work
Answer:
Discount: $130.90
Total cost after discount: $464.10
Step-by-step explanation:
Since I don't know what the actual question is, I will solve for the discount:
595 × 22%
Convert percentage into decimal
595 × 0.22
130.9
Discount is 130.9
Now I'll solve for how much that will take off from the original price:
595 - 130.9
464.1
which table represents a function
Answer:
The last one
Step-by-step explanation:
A function is where every x has only one y value.
Andy has 3 different sticker books filled with a variety of stickers. Her Grandma gave her 10 more stickers.
Write an expression (does not contain an equal sign) for the above situation.
Answer:
3x+10>10
Step-by-step explanation:
Answer:
3x+10
Step-by-step explanation:
The x is the sticker books because there could be any amount of stickers in there and the 10 is the new stickers.
a submarine dives as shown in the diagram. to the nearest degree, determine the dive angle whose measure is X.
Answer:
75.96
Step-by-step explanation:
[tex]Tan= \frac{opposite}{adjacent}[/tex]
[tex]Tan X= \frac{500}{125}[/tex]
[tex]Tan X ^{-1} (Tan X)= Tan X ^{-1}(\frac{500}{125} )[/tex]
Answer 75.96
I need a real answer not a scam.
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
Help please !!!!!!!! asapppppp
Answer:
B
Step-by-step explanation:
1.sea surface to deck of sunken ship =24.7=29.5-4.8
2.zhip deck to ship deck =1.5 +24.7=26.2m
PLEASE HELP D:
Which of the following possibilities will form a triangle?
A - Side = 16 cm, side = 8 cm, side = 7 cm
B - Side = 16 cm, side = 9 cm, side = 7 cm
C - Side = 17 cm, side = 12 cm, side = 7 cm
D - Side = 17 cm, side = 11 cm, side = 5 cm
Answer:
Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.
Step-by-step explanation:
you have to study
Answer:
A,B and D form a triangle
Step-by-step explanation:
A - Side = 16 cm, side = 8 cm, side = 7 cm
16>8+7=15 form a triangle
B.- Side = 16 cm, side = 9 cm, side = 7 cm
16>9+7=16 form a triangle
C - Side = 17 cm, side = 12 cm, side = 7 cm
18>12+7=19 not form a triangle
D - Side = 17 cm, side = 11 cm, side = 5 cm
17>11+5=16 form traingle