Answer:
4.666667
Step-by-step explanation:
Answer:
You cant simply it.
Step-by-step explanation:
14/3 is the simplest version of 14/3. If you were looking for decimal form its 4.666667
Simplify
3/the square root of 7
Answer:
The square root of 7 is 2.65
Step-by-step explanation:
2.645751311 is the long square root of 7 so just round it to the nearest tenth
I hope this helped in any way!
Plz mark brainliest :D
Answer:
\(\frac{3\sqrt{7}}{7}\)
Step-by-step explanation:
\(\frac{3}{\sqrt{7}}\)
lets multiplty to simplify the denominator
\(\frac{3}{\sqrt{7}}\) * \(\frac{\sqrt{7}}{\sqrt{7}}\) = \(\frac{3\sqrt{7}}{\sqrt{7}*\sqrt{7}}\)
now the square root of 7 times the square root of 7 makes the square root of 49, which we can simplify to 7
\(\frac{3\sqrt{7}}{7}\)
in the diagram below, what is the length of DC????
Answer:
D. 9Step-by-step explanation:
Corresponding sides of similar triangles have same ratio.
ΔADB ~ ΔBDCAD/BD = BD/ DC4/6 = 6/DCDC = 36/4DC = 9Correct option is D
2. In Parallelogram TRIK, what is the mzt?
R
T
5x°
2(x + 30°
K
I
I
Answer:
\(T = 100\)
Step-by-step explanation:
See attachment for parallelogram TRIK
Given
\(T = 5x\)
\(I = 2(x + 30)\)
Required
Determine T
Because T and I are opposite angles of the parallelogram, then they are congruent.
i.e.
\(T = I\)
Substitute values for T and I
\(5x = 2(x + 30)\)
Open bracket
\(5x = 2x + 60\)
Collect Like Terms
\(5x - 2x = 60\)
\(3x = 60\)
Solve for x
\(x = \frac{60}{3}\)
\(x =20\)
Recall that:
\(T = 5x\)
\(T = 5 * 20\)
\(T = 100\)
HELP ASAP MONEY AND WAGES
Answer: $57,700.00
Step-by-step explanation:
Total Gross Annual income = $70,000
a) Pension at 5% = $70,000(0.05) = $3,500
b) Employee Insurance at 2.4% = $70,000(0.024) = $1,680
c) Income Tax at 0% for $0-$11,000 = $11,000(0) = $0
Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120
Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000
Income Tax at 15% for $50,000-$100,000 = $20,000(0.15) =$3,000
Total Income Tax = $7,120
Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:
$70,000 - $3,500 - $1,680 - $7,120 = $57,700
What is the equation of the line that is parallel to the line y = 1/3x + 4 and passes through the point (6, 5)?a. y = -1/3x + 3b. y = -1/3x + 7c. y = 3x - 13d. y = 3x + 5
Answer:
B: \(y=-\frac{1}{3}x+7\)
Step-by-step explanation:
Straight lines are set out in the format of \(y = mx+c\), where \(m\) is the gradient, and \(c\) is the y-intercept.
The gradient between parallel lines remains the same, and this means the gradient of the new line will also be \(-\frac{1}{3}\).
This rules out options C and D.
Going back to the format, so far, we have filled in \(y=-\frac{1}{3}x+c\). We are still looking for the y-intercept.
We can find that using the coordinate you've been given, \((6,5)\).
This coordinate tells us that when \(x=6\), \(y=5\). Therefore we can substitute those in the places of \(x\) and \(y\) in the original equation.
This leaves us with \(5 = -\frac{1}{3}(6)+c\).
We can now rearrange for \(c\).
\(5 = -2 + c\\c=7\)
Now we have all the values we need, we can form the final equation.
\(y=-\frac{1}{3}x+7\)
This indicates the answer is option B. Hope this helps.
Given two rectangular ducts with equal cross-sectional area but different aspect ratios (width/height) of 2 and 4 which will have the greater frictional losses? Explain your answer
The frictional loss will be greater for aspect ratio of 2 as friction will be more when the height of the duct is higher compared to the increase in width.
In a straight duct with constant cross sectional area , the velocity of the water is changed. The change in static pressure is the frictional loss .
In the duct the energy is constant. Therefore when water moves upwards with the increase in height the frictional loss or the pressure loss will be more more.
When width increases there will be less pressure, So frictional loss will be increased with height.
Let the width and height be a and b respectively.
now area = ab
and a\b =2
or, a = 2b
again a\b = 4 or, a = 4b
if ab is constant then the height for the aspect ratio of 4 is greater.
Therefore there will be more frictional loss for the increased height.
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Ron wins £1 1/4 million. He gives 3/5 million to his daughter and £1/3 million to his wife. How much does he have left?
Answer:
0.31
Step-by-step explanation:
1 1/4 - 1/3 - 3/5 = 19/60
≅ 0.3166667
When solving an equation, Bianca's first step
is shown below. Which property justifies
Bianca's first step?
Original Equation:
2(x + − 2) =
=
-4
First Step:
2x + 4 = -4
division property of equality
distributive property of
multiplication over addition
multiplication property of equality
O addition property of equality
Answer: associative property of adding
The amount of money, y, pizzeria Mama Mia makes by selling x pizzas can be modeled by the
equation y = 15x. The relationship of the amount of money pizzeria Luigi's makes is shown in the
following graph. Which pizzeria makes more money per pizza? Explain.
Mama Mia makes $15 per pizza sold.
What is an equation?
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=). The expressions on both sides of the equation can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
We can calculate the amount of money each pizzeria makes per pizza using the given equation for Mama Mia:
y = 15x
To calculate the amount of money per pizza, we need to divide the total amount of money y by the number of pizzas sold x:
money per pizza = y/x
For Mama Mia, we have:
money per pizza = y/x = 15x/x = 15
So Mama Mia makes $15 per pizza sold.
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Question stated in photo
Answer:
It goes the last option then the 2nd option the the first option.
Which statement accurately describes the proportions in the tails of a normal distribution?
a. Proportions in both the left-hand and right-hand tails tend to be relatively small.
b. Proportions in both the left-hand and right-hand tails tend to be relatively large.
c. The proportion in the left-hand tail is larger than the proportion in the right-hand tail.
d. The proportion in the right-hand tail is larger than the proportion in the left-hand tail.
a. Proportions in both the left-hand and right-hand tails tend to be relatively small.
The correct answer is: a. Proportions in both the left-hand and right-hand tails tend to be relatively small. This is because a normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean. As a result, the tails of the distribution have fewer data points and smaller proportions compared to the center. This is because a normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean.
So, a. Proportions in both the left-hand and right-hand tails tend to be relatively small.
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A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?
SOMEONE PLEASE HELP ME.
Answer:
118/125
Step-by-step explanation:
We can find first the probability that there isn’t suitable weather:
60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125
now we have just to do this operation
125/125 - 27/125 = 118/125
Calculator
Diane and Curtis surveyed 8 of their friends to find the average number of minutes spent on math homework, per day. They recorded
the results of their survey in a list.
80, 75, 30, 70, 40, 55, 90, 20
What is the mean absolute deviation of this data set?
Enter your answer in the box
The answer is 21
I just took the test
Answer:
21.25
Step-by-step explanation:
took the test
i need help with this!!!
Answer:
every option but the first one
Step-by-step explanation:
5 and 7 are verticals meaning they have the same angle degree
7 and 4 are supplementary angles meaning the sum of them = 180
1 and 7 are corresponding meaning they have the same angle degree
What is the scale factor from AABC to AUVW?
The volume is 120.9 in. What is the missing dimension (X)
Answer:
X = 2.5 in
Step-by-step explanation:
volume = L x W x H
120.9 = 9.3 x 5.2 x X
X = 2.5 in
Answer:
x=2.5 in approx
Step-by-step explanation:
volume of cuboid=L×B×H
120.9=9.3×x×5.2
x=120.9/(9.3×5.2)=2.48in
Select the two values of x that are roots of this equation.
2x2 + 7 x + 6 = 0
O A. X=-3
B. X= -4
C. x= -2
D. x= - 3/2
just for those that cant find it!
answer is in the picture, hope that helps
Answer:
\(\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}\)
Step-by-step explanation:
Given :-
A quadratic equation is given to us.The equation is 2x² + 7x +6=0And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,
Given equation :-
\(\implies 2x^2 + 7x +6=0\)
Step 1: Find out the factors of 12 :-
We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .
And 3 + 4 = 7. So we will break the middle term into 3x and 4x .Step 2 : Breaking the middle term :-
\(\implies 2x^2 + 3x+4x +6=0\)
Step 3: Take out common from terms :-
\(\implies x(2x + 3) +2(2x +3)=0\)
\(\implies ( x +2)(2x+3)=0 \)
Step 4 : Equate them with 0 :-
\(\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}\)
Hence the correct options are C and D .
If one angle of a parallelogram measures 80° what are the measures of the other three angles in a parallelogram
In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.
Now find the other two angles:
360 - 80 - 80 = 200 degrees
200 degrees / 21 = 100 degrees each.
The other 3 angles are: 80, 100 and 100
Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
The _____ is commonly used to examine whether two groups are significantly different from each other.
T-test is commonly used to examine whether two groups are significantly different from each other or not.
A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.
It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.
T-test is used to determine whether two groups are different or not.
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The T-test is commonly used to examine whether two groups are significantly different from each other or not.
The T-test is an inference statistic used to determine whether two groups' means are significantly different and how they are related. The T-test is used when the data set is normally distributed and the variance is unknown, such as a data set recorded by tossing a coin 100 times. This is a statistical test used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually affects a population of interest, or whether two groups differ from each other.A T-test is used to determine if two groups are different.
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The list below shows Carmen’s collection of state quarters.
• 5 Alaska
• 4 California
• 6 Florida
• 8 Minnesota
• 7 Texas
If Carmen randomly selects one quarter from her collection, what is the probability it is a Minnesota quarter or a Texas quarter?
A. 1/2
B. 1/3
C. 2/5
D. 7/15
PLEASE HELP I NEED TO SUBMIT SOON!!
The missing measure of the square pyramid and the net would be 11.18 units.
The amount of wood that Dee needs to make the doghouse is 98 square feet of wood.
How to find the net ?The missing measure is the side of the pyramid and this can be found using the Pythagorean Theorem with 11 ft being the height of the triangle and 4/ 2 = 2 being one of the sides and the missing measure being the hypotenuse.
The side length is:
= √ (2 ² + 11²)
= √ ( 4 + 121)
= 11.18 units
To determine the amount of wood needed for Dee's doghouse, we need to calculate the surface area of the square pyramid using its net.
Calculate the area of all four triangular faces:
Total area of triangular faces = 4 x area of one triangular face = 4 x 20.5 = 82 square feet
Calculate the total surface area of the pyramid (net):
Total surface area = area of base + total area of triangular faces = 16 + 82 = 98 square feet
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Given a graph, with no equation, how can you graph the inverse?
There are two different ways you can do this, I have provided both below.
Answer: You can switch all the x and y coordinate values.
For example, if you have (2, 1) you would graph (1, 2).
Another example, if you have (677, 83) you would graph (83, 677)
Answer: Flip the graph over the line of y = x
I have attached an example from lumenlearning.com.
a person in a lighthouse 22m above sea level sights a buoy in the water. if the angle of depression to the buoy is 25o, how far from the base of the lighthouse is the buoy?
If the angle of depression to the buoy is 250, then the buoy is approximately 47.2 meters from the base of the lighthouse.
What is angle of depression ?
The angle of depression is the angle between a horizontal line of sight and the line of sight from an observer to a point or object that is lower than the observer. It is commonly used in trigonometry and geometry problems that involve the height or depth of an object relative to an observer or the ground.
We can start by drawing a diagram to visualize the situation.
In the diagram, A represents the location of the lighthouse, B represents the location of the buoy, and x represents the distance from the base of the lighthouse to the buoy that we want to find.
Since the angle of depression from the lighthouse to the buoy is 25 degrees, we know that angle ABx is also 25 degrees. We also know that the height of the lighthouse above sea level is 22 meters.
We can use the tangent function to find the value of x:
tan(25°) = opposite / adjacent
tan(25°) = 22 / x
Solving for x, we get:
x = 22 / tan(25°)
x ≈ 47.2 meters
Therefore, the buoy is approximately 47.2 meters from the base of the lighthouse.
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game where created character is assigned to player and they must use random item cards in order to win
One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.
During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.
The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.
To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.
"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.
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Which of the decibes a unique polygon?
Answer:
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides.
Step-by-step explanation:
Reduce to simplest form. -3/5 plus 1/3
What is the slope (3,6) (2,9)
Answer:
m = -3
Step-by-step explanation:
Plz help me with my math
Answer:
D I believe
Step-by-step explanation:
if it's going by negative values and positive values then -6 is the lowest and 9 is the highest
Answer:
D
Step-by-step explanation:
Least to greatest means from smallest to largest in simple terms.
So, -6, -4, -2, 2, 5, 9
an emergency room nurse believes the number of upper respiratory infections is on the rise. the emergency room nurse would like to test the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases. using the computed test statistic of 2.50 and the critical value of 2.33, is there enough evidence for the emergency room nurse to reject the null hypothesis?
To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.
In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.
Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.
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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.
Explanation:Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.
It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.
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