Answer:
x = -5
Step-by-step explanation:
2x = -10
x = -10/2
x = -5
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?
Answer:
cholesterol in egg= 273 mg
cholesterol in cupcake = 18 mg
cholesterol in slice of pizza = 9 mg
Step-by-step explanation:
Given data:
1 egg , 1 cupcake , 1 slice of pizza = 300mg
3 cupcakes , 4 slices of pizza = 90mg
2 eggs , 1 cupcake = 564mg
Let egg be x , let cupcake be y and let pizza be y
x + y + z = 300 (equation 1)
0x + 3y + 4z = 90 (equation 2)
2x + y + 0z = 564 (equation 3)
Using equation 1 and equation 2
x + y + z = 300 (Multiply equation by 3)
0x + 3y + 4z = 90
3x + 3y +3z =900
0x +3y +4z = 90 (Subtracting the equations)
3x - z = 810 (equation 4)
Using equation 2 and equation 3
0x + 3y + 4z = 90
2x + y + 0z = 564 (Multiply equation by 3)
0x + 3y + 4z = 90
6x +3y + 0z = 1692 (Subtracting the equations)
-6x +4z =-1602 (equation 5)
Solving equation 4 and equation 5
3x - z = 810 therefore z =3x -810
Substituting z into equation 5
-6x +4(3x - 810) =-1602
-6x + 12x - 3240 = -1602
6x = -1602+3240
6x = 1638
x = 273
Substituting x into z = 3x - 810
z = 3(273) - 810
z = 819-810
z = 9
Using equation 1 to find y
x + y + z = 300
273 + y + 9 = 300
282 + y = 300
y = 300-282
y = 18
What is the answer to 4(x + 3) < 7x - 3x - 11
Answer:
THE ANS IS 0<-23
Step-by-step explanation:
4(X+3)< 7x-3x-11
4x+12< 4x-11
4x will be cancelled,
So we get,
4x-4x< -11-12
0 < -23
Thank YOU AND PLZ MARK AS BRAINLY AND GIVE RATING ALSO
Give the slope and the y-intercept of the line y = x – 4.
Make sure the y-intercept is written as a coordinate.
Given:
The equation of a line is
[tex]y=x-4[/tex]
To find:
The slope and y-intercept of the line.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=1,b=-4[/tex]
Slope of the line = 1
y-intercept of the line = -4
The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).
Therefore, the slope of the line is 1 and the y-intercept is (0,-4).
An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.5 and P(B) = 0.3. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. Since the events are independent, then A′ and B′ are not independent. Since the events are independent, then A′ and B′ are independent. Since the events are not independent, then A′ and B′ are mutually exclusive. Since the events are independent, then A′ and B′ are mutually exclusive. (b) What is the probability that at least one of the two projects will be successful? (c) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.)
Answer:
0.7 ; 0.65 ; 0.115
Step-by-step explanation:
Step-by-step explanation:
P(A) = 0.5 ; P(B) = 0.3
P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5
1.)
Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.
Probability that European project isn't successful;
P(B') = 1 - P(B) = 1 - 0.3 = 0.7
2.)
Probability that atleast one of the 2 projects is successful :
P(AUB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15
P(AUB) = 0.5 + 0.3 - 0.15 = 0.65
3.)
Probability that only the Asian project is successful, given that atleast one of the two projects is successful :
[P(A) - P(AnB)] ÷ P(AuB)
[0.5 * 0.15] ÷ 0.65
= 0.075 ÷ 0.65
= 0.1153846
= 0.115
What will be the winning numbers for Mega Millions on 12 February 2021?
I need an answer ASAP thank you
Answer: i think its
Step-by-step explanation: carrot
277
If =
then the value of cos 0 =-
1
Part A:
What is another angle, 8, that has the same value as cos
277
if 0 < < 2?
Part B:
Name two angles that have the opposite value of cos
277
if 0 < < 27.
A 22 foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is 9 feet.
No random answers pls
Answer:
the building is 13 feet tall
Answer: the equation to find h is 9^2+h^2 is about 20.1 feet
Step-by-step explanation: ima be honest I’m not sure but that’s what I got
In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations. Let I(t) denote the number of infected individuals. Suppose that the total population is 3000, the proportionality constant is 0.0001, and that 1% of the population is infected at time t-0, write down the intial value problem and the solution I(t)
dI/dt I(0) = _______
I(t) = _______
Answer:
Step-by-step explanation:
See attached file for answer .
What single decimal multiplier would you use to decrease by 3% followed by a 4% increase?
Answer:
The single decimal multiplier is 26%.
Step-by-step explanation:
Since we have given that
You use to increase by 5% followed by 20% increase.
So, the single decimal multiplier would be
Hence, the single decimal multiplier is 26%.
HELP ME Which of these tables represents a function?
A. W
B. X
C. Y
D. Z
22 - 5x + 4 = 0 ?
What is the value of the greater root of the above equation
Answer:
[tex] - 5x = - 22 - 4 \\ \\ - 5x = - 26 \\ x = 5.2 \\ \: \\ [/tex]
What is 12 divided by 8
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 is the answer
hope it helps!
Find the distance between the points C(-6,5) and D( -3,1).
The distance between the two points is
Answer:
5 units
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } \\ = \sqrt{(5 - 1)^{2} + ( - 6 + 3)^{2} } \\ = \sqrt{ {4}^{2} + ( - 3)^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ = 5 \: units[/tex]
Work out the value of angle x.
Х
110 degree
Answer:
40 degrees
Step-by-step explanation:
the bottom angles are 70 each because you can find one of them by subtracting 110 from 180 (110 is an exterior angle to one of the bottom sides). The other is also 70 because the triangle is an isosceles. Then, subtract 70*2 from 180 to get 40 degrees for x (the remaining side).
At the bakery where you work, loaves of bread are supposed to weigh 1 pound, with a standard deviation of 0.13 pounds. You believe that the new personnel are producing loaves that are heavier than 1 pound. As supervisor of Quality Control, you want to test your hypotheses at the 5% level of significance. You weigh 20 loaves and obtain a mean weight of 1.05 pounds.
1. Identify the population and parameter of interest. State your null and alternative hypotheses.
2. Identify the statistical procedure you should use. Then state and verify the conditions required for using this procedure.
3. Calculate the test statistic and the P-value. Illustrate using the graph provided.
a. .50
b. -3.0
c. 3.0
d. -.50
4. State your conclusions clearly in complete sentences.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
H0 : μ = 1
H1 : μ > 1
Sample size, n = 20 ; xbar = 1.05; Standard deviation, s = 0.13
Test statistic;
t because sample size is < 30
(xbar - μ) ÷ (s/sqrt(n))
(1.05 - 1) ÷ (0.13 / sqrt(20))
0.05 ÷ 0.0290688
= 1.7200572
Using a p value calculator :
With alpha = 0.05 ; df = n - 1 = 20 - 1 = 19
P value = 0.05084
P value > alpha
We fail to reject H0
There is not sufficient evidence to support that the new personnel are producing loaves that are heavier than 1 pound
In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122?
Answer:
B. 95%
Step-by-step explanation:
The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.
The confidence interval is 95.45% of the data in the data set with a normal distribution
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval
Confidence Interval CI = x + z ( s/√n )
where x = mean
z = confidence level value
s = standard deviation
n = sample size
Given data ,
To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:
Approximately 68% of the data falls within one standard deviation of the mean
Approximately 95% of the data falls within two standard deviations of the mean
Approximately 99.7% of the data falls within three standard deviations of the mean
Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:
Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation
For 74: z = (74 - 98) / 12 = -2
For 122: z = (122 - 98) / 12 = 2
Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.
The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.
Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.
Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.
To learn more about confidence interval click :
https://brainly.com/question/16807970
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Jake’s water bill is $24.80 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake can use if he wants his bill to be no more than $60?
Answer:
60-24.80=35.20
35.20/2.20=16
16ccf
Step-by-step explanation:
Solve the inequality.
m + 3 < 5
Please help with this
Answer:
Step-by-step explanation:
m+3 < 5
Isolate the m by subtracting 3
m+3 - 3 < 5 - 3
m < 2
Hurry I need the answer on how u got it and ill give u the brainlest if its correct
1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?
Group of answer choices
There are 3.7 minutes for every 1 shingle put on the roof.
For every 3 minutes, there are 11 shingles put up.
There is 1 minute for every 0.27 of a shingle.
It takes 3.7 minutes to put up 22 shingles.
2..A researcher decides to study study frogs in a local forest. Funding for his project says:
2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.
Which of the following is the correct ratio of forest to office time?
Group of answer choices
4.8
0.2083
12.5
0.08
3.Which of the following is equivalent to the ratio 5?
You don't have to show work for this problem.
Group of answer choices
1:5
5 to 1
1/5
0.2
4.Consider the number: 105,279,083,000
Which digit is in the ten billions place?
You don't have to show work for this problem.
Group of answer choices
7
5
9
0
5.Write the following number in correct scientific notation: 13.8 billion
You don't need to show work for this problem, but it's a good idea.
Group of answer choices
1.38 x 10^-10
1.38 x 10^10
13.8 x 10^9
1.38 x 10^7
Answer:
1. The first statement is true
2. Answer will be 0. 2083
3. 1: 5
4. 0 takes in ten billions place
5. 1.38 * 10^10
Hope this helped
Correct me if i'm wrong
All the best !!
Find the value of x and y.
20
12
у
X =
y =
9514 1404 393
Answer:
x = 35∠BCA = 29°Step-by-step explanation:
In order to determine the value of x, the measure of angle BCA must be known. If we assume the figure is a kite, then ...
∠CDB = ∠CBD = 61°
∠CBD +∠BCA = 90°
So, the measure of angle BCA is ...
∠BCA = 90° -∠CBD = 90° -61°
∠BCA = 29°
__
Now we can find x from ...
29° = (-6 +x)°
29 +6 = x = 35
Find the value of x and state the converse! Plz help if you can
Please help me Answer this :)
( Will give brainlst!!)
<3
Answer:
C) Proton
D) Electron shell/ orbit
E) Neutron
Hope this will help you!
Answer:
proton
electron shells
neutron
which graph is linear and non linear and why?
The number of kilograms of water in a human body varies directly as the mass of the body A 96kg person contains 64kg of water.How many kilograms of water is in a 60 kg person
Answer: There are 40 kg of water in a 60 kg person.
Step-by-step explanation:
Please help I’m giving brainliest!
=================================================
Explanation:
Label the center point of the circle as point G.
Also, label the top and bottom tangent points as H and J respectively. This means that H is on line segment ED, while J is on line segment EF.
The given arc measure of 100 degrees directly leads to the central angle HGJ to be 100 degrees.
Focus on quadrilateral EHGJ. It has two right angles at points H and J since they are tangent points. Angle G of this quadrilateral was found to be 100. Let's find angle E
E+H+G+J = 360 ..... any four angles of a quadrilateral add to 360
E+90+100+90 = 360
E+280 = 360
E = 360-280
E = 80
Or as a shortcut, we can note that angles E and G must add to 180, since H+J = 90+90 = 180, making up half of 360.
So, E+G = 180 leads to E+100 = 180 which solves to E = 80.
Once we know that E = 80, this leads to angle DEF to be 80 degrees.
This is an inscribed angle that subtends arc DF. By the inscribed angle theorem, we double the inscribed angle value to get the arc measure
arc DF = 2*(inscribed angle DEF)
arc DF = 2*(80)
arc DF = 160 degrees
Aaron went to watch The Avengers at the movie theater. He noticed that 60% of the movie extras during one of the scenes were teachers from his school. He recognized 24 teachers from his school. How many movie extras were there all together?
Answer:
40 extras
Step-by-step explanation:
24 is 60% I would divide 24 by 6 to get 10% 24/6 is 4. 4*10 is 40. There were 40 extra's all together.
the diameter of a circle is 19 meters complete the description of how you would find the circumference
Answer:
Then substitute 3.14 for pi and 19 for the diameter.
The image shows the circumference formula.
19/2=9.5
C = 2(9.5)times pi.
C = 19 times 3.14
3.14 times 19 ≈ 59.69
Solve the equation 6X+2=74
prove that sin x + cos x the whole square is equal to 1 + sin 2x
THE ANS IS 1+sin2x
Step-by-step explanation:
This result follows almost directly from the following: