1 question answers:
Angle B=70
Angle C=70
Step-by-step explanation:
2 question:
Angle B= 90
Angle C=50
Tammy bought 20 pounds of flour for $11.
How many pounds of flour did she get per dollar?
Answer:
1.82 pounds per dollar
Step-by-step explanation:
20/11= 1.82
Answer:
about 2 pounds
Step-by-step explanation:
11 dollars = 20 pounds
1 dollar = x
You need to divide 20/11
20/11= 1.82
about 2 pounds
Originally the dimensions of a rectangle were 15cm by 20cm. When both dimensions were decreased by the same amount, the area of the rectangle is half the area of the original rectangle. Find the dimensions of the new rectangle.
Answer:
Step-by-step explanation:
We can write an equation to represent this problem.
(15 + w)(20 + w) = 1/2 (15)(20)
Foil out the left side of the equation.
300 + 35w + w^2 = 150
Subtract 150 from both sides.
w^2 + 35w + 150 (I rearranged it to be in the form that is most efficient)
Now solve for variable w using the quadratic equation (look up the formula if necessary)
[-35 +_ (square root of the value of 1225-600)] / 2
[-35 +_ (SqRt of 625)] /2
(-35 +_ 25) /2
= -30, -5
I just realized that it can't increase by a negative number, so I'm not really sure of the answer. Sorry, my bad. However, I feel that this may be of help to other people anyway, so I think I'll leave it up here. Apologies again.
Feel free to read through my reasoning behind my answer, and see if it gives you any ideas or inspiration for solving this problem.
the years of education for self-employed individuals is normally distributed with a mean of 7.4 years and a standard deviation of 3.4 years. if 36 self-employed individuals are polled, what is the probability that the mean years of education of this sample is at most 7.6 years? round your answer to at least three decimals.
The probability that the mean years of education of this sample is at most 7.6 years is 0.841.
Let X be the mean years of education of this sample. Then X follows a Normal Distribution, N(7.4, 3.4).
We want to find P(X <= 7.6).
Using the Z-Score Table, we find that P(X <= 7.6) = 0.8413.
So, the probability that the mean years of education of this sample is at most 7.6 years is 0.841.
To calculate this, we first find the Z-Score of 7.6
Z = (x - mean) / sd
Z = (7.6 - 7.4) / 3.4
Z = 0.5882
Then, we look up the Z-Score of 0.5882 in the Z-Score Table and find the probability associated with it.
P(X <= 7.6) = 0.8413
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Adam entered a three hour hot dog eating contest during the contest Adam ate four hotdogs every 15 minutes how many did he eat during the entire contest
Answer:
32 hot dogs
Step-by-step explanation:
I hope this helps you out!
Answer:
48 hot dogs
Step-by-step explanation:
So every 15 min he can eat 4 hot dogs so add 4 hot dogs each 15 min until you get 3 hours.
I’ve been trying to figure this one. How do I solve it please help!
Q = 180 ( 1.474) ^ t
This in in the form
y = a e ^ (kt)
180 is the initial value
a = 180
1.474 ^t = e^k ^ (t)
This means that e^k = 1.474
Taking the ln of each side
ln (e^k) = ln ( 1.474)
k = ln ( 1.474)
b = 1.474 which is the growth factor
b =1+r
1.474 = 1+r
r = .474
If they want r as a percent
r = 47.4 %
Points G(-3, 8) and H(0, 5) are on a line. Which equation represents a line that is parallel to this line?
a. y=2x-8
b. y=x-5
c. y= -x+5
d. y= -2x+8
c. y = -x+5 represents a line that is parallel to line with points G(-3, 8) and H(0, 5)
First we will find slope of the points G(-3, 8) and H(0, 5) with the point-slope formula that is
y₂ - y₁ = m(x₂ - x₁) where m is the slope
So, substituting the value we get
⇒ 5 - 8 = m(0 - (-3))
⇒ -3 = m(3)
⇒ m = -3/3
⇒ m = -1
Thus, the slope of the line is -1. A parallel line will have the same slope as well, Therefor, we use the slope intercept form that is
(y = mx + b) where b is the y-intercept and m = -1
⇒ y = -1x + b
Out of all the options, only option c y= -x+5 has a slope = -1, therefore
y= -x+5 represents a line that is parallel to line with points G(-3, 8) and H(0, 5)
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Juan used 2 pieces of rope for a project. If the pieces are 9.832 meters and 2.25 meters. How much rope did Juan use?
PLEASE HURRY
Please help with this question. I need help this is too hard for my friend and I do not have time.
The frequency table formed using tally marks can be analyzed by using the numbers indicated by the tally marks as follows;
The true statements are as follows;
Twice as many students prefer green than purpleTwo more students prefer blue than purpleThe same number of students prefer yellow or purple as the number who prefer blueWhat are tally marks in a frequency table?Tally marks makes use of vertical lines to represent data, in which the fifth count is represented by a diagonal line across four vertical lines;
The data in the table are as follows
The number of students that prefer red = 5 + 1 = 6
The number of students that prefer yellow = 2
The number of students that prefer Blue = 5
The number of students that prefer purple = 3
The number of students that prefer Green = 6
Therefore;
Twice as many students prefer green than purpleTwo more students prefer blue than purpleThe same number of students prefer yellow or purple as the number who prefer blueLearn more about frequency tables in statistics here:
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a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be
The correct hypothesis statement for this golfer to prove his claim would be:
\(H_{0} :u\geq 90\)
\(H_{1} :u < 90\)
The golfer claims that his average score is less than 90.
Therefore, the null hypothesis is the opposite of what he claims
Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:
\(u \geq 90\)
\(H_{0} :u\geq 90\)
Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.
Hence alternate hypothesis \(H_{1}\) is u< 90
\(H_{1} :u < 90\)
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Finding the standard deviation round answer two decimal places when necessary
Answer:
\(\begin{equation*} SD=1.55 \end{equation*}\)Step-by-step explanation:
The standard deviation of a data set is represented by the following equation:
\(\begin{gathered} SD=\sqrt{\frac{\sum_^\lvert{x_i-\bar{x}}\rvert^2}{n}} \\ where, \\ x_i=\text{ represent each number in the data set} \\ \bar{x}=\text{ mean} \\ n=\text{ number of elements in the data set} \end{gathered}\)Therefore, for the given sample:
\(\begin{gathered} 6,10,6,6,7 \\ \text{ mean=}\frac{6+10+6+6+7}{5} \\ \text{ mean=7} \end{gathered}\)For each data point, find the square of its distance to the mean.
\(\begin{gathered} \sum_^\lvert x_i-\bar{x}\lvert{}^2=(6-7)^2+(10-7)^2+(6-7)^2+(6-7)^2+(7-7)^2 \\ \sum_^\lvert x_i-\bar{x}\lvert{}^2=12 \end{gathered}\)Now, solving for the standard deviation:
\(\begin{gathered} SD=\sqrt{\frac{12}{5}} \\ SD=1.55 \end{gathered}\)Mirandah simplified the expression 5 x + 9 y - 4 . She says the answer is 10 x y . Answer the following questions. What error did Miranda make while combining like terms? What should her answer be?
Answer:
5x + 9y -4
Step-by-step explanation:
Given 12 different 2-digit numbers, show that one can choose two of them such that their difference is a two-digit number with identical first and second digit
Step-by-step explanation:
there are 91 2-digit numbers : 10 ..99
and there are 9 2-digit numbers with identical first and second digit : 11, 22, 33, 44, 55, 66, 77, 88, 99
99 has to be excluded, because there are no 2 2- digit numbers that I can subtract from each other and get 99.
so, e are dealing with 8 possibilities.
88 = 99-11
98-10
77 = 99-22
98-21
97-20
...
78-1
66 = 99-33
98-32
...
67-1
...
11 = 99-88
98-87
...
12-1
all the double- digit numbers are 11 apart. so, by picking 12 numbers, I have to have at least one that I can combine with one of the other 11 to get a double-digit number.
If the 9 in 506,092 moved 2 places to the right who does the value of the 9 change
Answer:
It becomes 9/10, because the number would be 506,002.9
Step-by-step explanation:
The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
→
-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4
Answer:
answer would be:
The range of the graph is all real number.
AND
The domain and range of the graph are the same.
Step-by-step explanation:
which lines are perpendicular? Line 1:y=3x+1 Line 2:y=2x-3 Line 3:3y+×=6 Line 4:y=1/3x-1
Answer:
Line 1 and 4
Step-by-step explanation:
Perpendicular lines are easy to see once you realize that their slopes, the numbers in front of the x, are inverses. Line 1 and 4 are inverses.
1/3 and 3
Boom.
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \(\mathbf{y=-4x-3}\)
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: \(y=mx+b\)
First we need to find slope
The formula used for finding slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
We are given: \(x_1=-7, y_1=25, x_2=-4, y_2=13\)
Putting values in formula and finding slope
\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4\)
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
\(y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3\)
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
\(y=mx+b\\y=-4x-3\)
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \(\mathbf{y=-4x-3}\)
for a normal distribution, a positive value of z indicates that group of answer choices all the observations must have had positive values. the area corresponding to the z is either positive or negative. the sample mean is smaller than the population mean. the sample mean is larger than the population mean.
For a normal distribution ,a positive value of z simply means that the observation or sample mean is above the population mean this implies
none of the options provided is completely accurate.
All the observations must have had positive values,
It is not necessarily true for a positive value of z.
The value of z indicates how many standard deviations away from the mean a particular observation or sample mean is.
A positive value of z simply means that the observation or sample mean is above the population mean.
The area corresponding to the z is either positive or negative,
It is also not accurate.
The area under the normal curve corresponds to probabilities, not positive or negative values.
The area to the right of the mean corresponds to positive z-values, and the area to the left of the mean corresponds to negative z-values.
The sample mean is smaller than the population mean,
It is a possibility when the z-value is negative, indicating that the sample mean is below the population mean.
The sample mean is larger than the population mean,
It is a possibility when the z-value is positive, indicating that the sample mean is above the population mean.
Therefore, the sample mean can be either larger or smaller than the population mean depending on the direction of the z-value.
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Solve |2x-3|> or equal to 7
Answer:
A is the answers for the question
Step-by-step explanation:
please mark me as brainlest
jazz sold 1/2 sack of vegetable pear and 5/2 sack of squash. how many sacks of vegetables did he sell altogether?
Answer:
Jazz sold 3(6/2)sacks of vegetables.
Step-by-step explanation:
5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.
for a two-tailed hypothesis test with a sample size of 37 and a 0.10 level of significance, what are the critical values of the test statistic t?
For a two-tailed hypothesis test with a sample size of 37 and a 0.10 level of significance, the critical values of the test statistic t are approximately ±1.691. These values determine whether we reject or fail to reject the null hypothesis based on the calculated t-value.
To find the critical values of the test statistic t for a two-tailed hypothesis test, we need to use the t-distribution table or statistical software. The critical values of t depend on the level of significance and the degrees of freedom (df), which are calculated as n-1, where n is the sample size.
For a two-tailed test with a level of significance of 0.10 and 37 degrees of freedom, we need to find the t-value that cuts off 0.05 of the area in each tail of the t-distribution. Using a t-distribution table or software, we find that the critical values of t are approximately ±1.691.
This means that if the calculated t-value falls outside the range of ±1.691, we reject the null hypothesis at the 0.10 level of significance, and conclude that there is significant evidence to support the alternative hypothesis. If the calculated t-value falls within the range of ±1.691, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the alternative hypothesis.
It is important to note that the critical values of t depend on the sample size and the level of significance. As the sample size increases, the degrees of freedom increase and the t-distribution approaches the normal distribution. Also, as the level of significance decreases, the critical values of t become more extreme, making it harder to reject the null hypothesis.
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a survey asks a simple random sample of 500 adults in ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. let denote the proportion in the sample who say they support the increase. suppose that 53% of all adults in ohio support the increase. what is the probability that less than half the sample will say they support the increase? use your calculator. do not round any answer until your final answer. that answer should be rounded to exactly 3 decimal places.
The probability that less than half of the sample will say that they support the increase is given as follows:
0.0885 = 8.85%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).The parameters for this problem are given as follows:
n = 500, p = 0.53.
Hence the mean and the standard error are given as follows:
\(\mu = 0.53\)\(s = \sqrt{\frac{0.53(0.47)}{500}} = 0.0223\)Hence the probability of less than half is the p-value of Z when X = 0.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
Z = (0.5 - 0.53)/0.0223
Z = -1.35
Z = -1.35 has a p-value of 0.0885.
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g Referring to the list of Sec. 5.3.1, irreversibilities present in an internal combustion engine include: friction. heat transfer. chemical reaction. all of the answers are correct.
Irreversibilities present in an internal combustion engine include friction, heat transfer, and chemical reaction. Therefore, the correct answer is that all of the answers are correct.
Friction is an important source of irreversibility in internal combustion engines. It occurs due to the rubbing and resistance between moving parts, such as the piston rings, bearings, and valves. Friction leads to energy losses and reduces the engine's efficiency. Heat transfer is another irreversibility in internal combustion engines. During the combustion process, heat is transferred between the high-temperature combustion chamber and the surrounding components, such as the cylinder walls and cooling system. This heat transfer results in energy dissipation and affects the engine's overall performance. Chemical reactions taking place within the engine are also sources of irreversibility. Combustion itself is a chemical reaction that converts fuel and oxidizer into products, releasing heat energy. However, not all fuel molecules undergo complete combustion, leading to the formation of byproducts and pollutants. These incomplete reactions contribute to irreversibilities and affect the engine's efficiency and emissions. Therefore, all of the answers are correct as friction, heat transfer, and chemical reactions are significant irreversibilities present in internal combustion engines that impact their performance and efficiency.
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50% of 25% is the number. What is the number?
Answer:
1/8
Step-by-step explanation:
50/100 * 25/100
1/2 * 1/4 = 1/8
what is the equation of the following graph in vertex form?
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
I like to eat apples and bananas
Answer:
I remember that song from like kindergarten, good memories
Step-by-step explanation:
May I have brainliest please? :)
Answer:
thats cool but this is where you ask for help on hw
Can you help me please!
Answer: 0 = 0 and/or Infinitely Many Solutions
Step-by-step explanation:
When solving this equation we want to find x then substitute the answer we find for x to see if both sides are equal to the same number.
So once we find x replace x with that number: x = 8
Rewrite equation: \(-24+3(8)=16-2(8)\)
So we solve \(-24+24=16-16\\0=0\)
Since both sides are equal the answer would be Infinitely Many Solutions
At a coffee shop, the first 100 customers'
orders were as follows.
Small Medium Large
Hot
5
48
22
Cold
8
12
5
If one of these customers has purchased a
large drink, what is the probability that it is
cold?
P( hot| Large ) = [?]
Round to the nearest hundredth.
Answer:
so there is a 5% change of or ordering a large cold drink
Step-by-step explanation:
first add the total of all drinks
5+48+22+8+12+5=100
the amount of large drinks that are cold are 5
so there is a 5% change of ordering a large cold drink
3x to the second power-2x-5
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35 degrees . Find the height of the tree and show your work please.
Answer:
33
Step-by-step explanation:
What is the value of the expression when x = 4?
8x^2 + 3x
Answer:
The value of the expression at x = 4 is 140
Step-by-step explanation:
Let us solve the question
∵ The expression is 8x² + 3x
∵ x = 4
→ To find the value of the expression at x = 4 substitute x by 4 in
the expression, then calculate the value of it
∵ The value of the expression = 8(4)² + 3(4)
→ Solve the power first
∴ The value of the expression = 8(16) + 3(4)
→ Simplify each term using multiplication
∴ The value of the expression = 128 + 12
→ Add the terms
∴ The value of the expression = 140
∴ The value of the expression at x = 4 is 140