Answer:
1, 2, 4, 6 are true statements
the length of time needed to complete a certain test is normally distributed with mean 44 minutes and standard deviation 8 minutes. find the probability that it will take less than 34 minutes to complete the test. a) 0.0528 b) 0.5000 c) 0.9472 d) 0.1056 e) 0.8944 f) none of the above
0.9472 is the probability that it will take less than 34 minutes to complete the test.
What are examples and probability?
It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.A probability is a number that expresses the possibility or likelihood that a specific event will take place. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.μ = 44 & = 8
ρ( X < 34 ) = ρ( Z < x - μ/&)
ρ( Z < 44 - 34/8)
ρ( z < 39.75)
= 0.9472
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Find the value of k, if (1, -1) is a solution of the equation 3x-ky = 8. Also, find the coordinates of another point lying on its graph.
For the points given below, find (a) PQ and (b) the coordinates of the midpoint of PQ . P(0,-1),Q(3,6)
a.The length of PQ is √58.
b. The coordinates of the midpoint of PQ are (3/2, 5/2).
To find the length of PQ, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of \([(x2 - x1)^2 + (y2 - y1)^2].\)
Using this formula, we can calculate the length of PQ. The coordinates of point P are (0, -1) and the coordinates of point Q are (3, 6). Plugging these values into the distance formula, we have:
\(PQ = √[(3 - 0)^2 + (6 - (-1))^2]\)
\(= √[3^2 + 7^2]\)
\(= √[9 + 49]\)
= √58
Therefore, the length of PQ is √58.
To find the coordinates of the midpoint of PQ, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by [(x1 + x2) / 2, (y1 + y2) / 2].
Using this formula, we can find the midpoint of PQ:
Midpoint = [(0 + 3) / 2, (-1 + 6) / 2]
= [3/2, 5/2]
Hence, the coordinates of the midpoint of PQ are (3/2, 5/2).
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identify each item as independent or dependent : Weight of salmon; cost of salmon
The Cost of the Salmon will be a dependent variable of weight and its weight will be the independent variable.
What is an Independent or dependent identification?In contrast to dependent items, which cannot exist alone and are dependent on independent items, independent items may exist independently and can be uniquely recognized using the criteria qualities. Relationship refers to the interdependence of an independent and dependent object.
Given two items, the Weight of salmon; the cost of salmon
The difference between the given variables is as follows:
While the independent variable is seen to be the cause, the dependent variable is thought to be the effect.Independent variables are the predictors or regressors, whereas dependent variables are sometimes referred to as predicted variables.Contrary to dependent variables, which need sophisticated mathematical techniques and observations, independent variables can be derived via longitudinal study or by solving difficult mathematical equations.On the graph, independent variables are positioned horizontally, while dependent variables are positioned vertically.The independent variable is unaffected by any change in the dependent variable, yet the dependent variable is also impacted by changes to the independent variable.Since Salmon is a food fish,
its weight will be the independent variable.
And since, Fish sells per kilo.
Thus,
The Cost of the Salmon will be a dependent variable of weight.
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product of -7/8 and -9/11 in simplest form
Answer:
63/88
Step-by-step explanation:
And this answer is already in simplest form.
Mira is writing a program to help her decide what cheese to pair with what fruit. which of these tables shows expected values for cheese after running this program with a variety of values for fruit?
The table that shows expected values for cheese after running the program with various fruit values is Table C.
Which table displays the anticipated cheese outcomes when different fruits are used in the program?The main answer to the question is Table C. This table provides the expected values for cheese after running Mira's program with a range of fruit inputs. By examining the data in Table C, Mira can determine the most suitable cheese to pair with different fruits.
In Mira's program, she likely incorporates a set of criteria or algorithms to calculate the compatibility between cheeses and fruits. These criteria may consider factors such as flavor profiles, texture, acidity, and sweetness. By inputting various fruits into her program, Mira can generate the corresponding expected values for cheese pairings. The program's output, as presented in Table C, offers insights into the potential outcomes and recommendations.
Table C likely displays a list of fruits in the leftmost column, with corresponding cheeses in the adjacent columns. Each cell in the table represents the expected outcome, indicating the recommended cheese for a particular fruit. The values might be represented by the names of cheeses or a numerical rating system that quantifies the compatibility level.
To delve deeper into Mira's program and its decision-making process, one could explore the underlying factors and considerations that contribute to the expected values. Understanding the algorithms used and how Mira determined the compatibility between cheeses and fruits would provide a comprehensive understanding of the program's functionality.
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What is the product?
[4 3 -1 -1] x [-3 1 -2 -2]
Answer:
Option A
|-6 -2|
|1 1|
Step-by-step explanation:
This is a product of a matrix.
So for the first number on the first row, we have;
(4 × -3) - (3 × -2) = -12 + 6 = -6
For the second number on the first row, we have;
(4 × 1) - (3 × 2) = 4 - 6 = -2
For the first number on the second row, we have;
(-1 × -3) - (-1 ×-2) = 3 - 2 = 1
For the second number on the second row, we have;
(-1 × 1) - (-1 × 2) = -1 + 2 = 1
Thus, we now have;
|-6 -2|
|1 1|
Answer: It's B, as in [ -18 10 5 -3]
Step-by-step explanation: I don't exactly wanna explain the entire process of multiplying matrices, but I ran it through multiple matrix calculators so I know it's right
Is the following relation a function?
Х
y
-2
1
0
3
5
.5
7
8
No
Yes
Answer:
Yes, its a function
Step-by-step explanation:
A truck that is 10 ft. by 12 ft. by 14 ft. carries cube shaped boxes that
have a length of 2.5 ft. How many of these boxes can this truck hold?
Round your answer to the nearest whole number.
*10
Answer:
108
Step-by-step explanation:
The volume of the truck is 10*12*14=1680
So, answer = the volume of the truck / the volume of a cube
answer= 1680/15.625=107.52 = 108.
What do you notice about these two triangles? What's
the same? What's different?
10
Share w
10
15
Answer:
They are the same shape and ratio, but are in different scales/size
Step-by-step explanation:
If your principal amount is $720 and you earn simple interest at a rate of 6% over 5 years. How much interest did you earn?
Answer:
$216
Step-by-step explanation:
6% = 43.2 dollars yearly
A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class
Answer:
C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Step-by-step explanation:
In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class?
(1) The teacher distributed 180 candies and 40 bars.
(2) The total number of items received by each student was less than 20.
A Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.
B Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.
C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D EACH statement ALONE is sufficient to answer the question asked.
E Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
180 candies and 40 bars
The highest common factor of 180 candies and 40 bars = 20
Alanna is painting a border along the top of a wall. the border consists of kite-shaped figures as shown. 3 kites are connected at 1 point. each kite measures 6 inches across and 12 inches long. the wall is 12 feet across. how many square inches of the wall will be covered with kites? 216 432 864 1,728
If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be: 864 square inches.
Square inches of the wal
Diagonals= d1 and d2
First step
Area =(1/2)×(d1×d2)
Area=(1/2)×(6×12)
Area =36 in²
Second step
1 feet = 12 inches
12 feet = 12×12
12 feet = 144 in
Third step
Number of square inches=(144/6)×36
Number of square inches=24×36
Number of square inches= 864 square inches
Therefore the square inches of the wall will be: 864 square inches.
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Answer:
C
Step-by-step explanation:
MEEEEEEEMES SEND MEEEEEEEEEEEEEEMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
what girls be like...
Step-by-step explanation:
Answer:
phock question wez deleted
Step-by-step explanation:
F = G(m1m2/d2)
Solve for m1
Answer:
\(m_1=\frac{Fd^2}{Gm_2}\)
Step-by-step explanation:
\(F=G \left(\frac{m_1 m_2}{d^2} \right) \\ \\ \frac{F}{G}=\frac{m_1 m_2}{d^2} \\ \\ \frac{Fd^2}{G}=m_1 m_2 \\ \\ m_1=\frac{Fd^2}{Gm_2}\)
Which inequality has an open circle when it is graphed on a number line?
Answer:
See below
Step-by-step explanation:
If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );
Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;
\(Inequality Sign - <,\\Inequality - x > 3,\\\)
Hope this helps!
The radius of a circle is increasing at a rate of 10 centimeters per minute. Find the rate of change of the area when the radius is 3 centimeters
The rate of change of the area of the circle is 20π square cm/min.
Let r be the radius of the circle and A be the area of the circle. The formulas for calculating the radius and area of a circle are:r = 2πAandA = πr²Given that the radius of the circle is increasing at a rate of 10 centimeters per minute, the derivative of r with respect to time (t) is given by:d/d = 10 cm/minWhen the radius is 3 centimeters, the area of the circle is given by:A = π(3)²= 9π square cm.
Now, we can use the chain rule of differentiation to find the rate of change of the area with respect to time (t).dA/d = dA/dr × dr/dThe first derivative can be obtained by differentiating the formula for the area of a circle with respect to the radius:A = πr²dA/dr = 2πr.
The second derivative can be obtained by substituting the values for r and d/d into the expression for dA/ddA/d = dA/dr × dr/d= 2πr × 10= 20π square cm/min.Therefore, when the radius is 3 centimeters, the rate of change of the area of the circle is 20π square cm/min.
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There's a rhombus with sides, 2x + y + 1, 1.5x - 0.5y - 1 and x-y, find the perimeter
Answer :59.9
Step-by-step explanation:
Write the expression below in standard form.
3h - 2 (1 + 4h)
Answer:
-5h-2 I think this is the answer.
Step-by-step explanation:
A maintenance worker needs to wax a restaurant floor shaped like the image shown.
A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.
If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?
$1,224.75
$1,569.75
$2,104.50
$2,449.50
The answer is $2,417.50. Option (D) is the closest value to the correct answer, but it is still slightly off.
What is area ?
In mathematics, area is the measure of the amount of space inside a two-dimensional object such as a square, rectangle, triangle, circle, or any other shape. It is usually measured in square units, such as square meters, square centimeters, square feet, or square inches
To find the area of the restaurant floor, we need to divide it into three different shapes: a rectangle, a triangle, and a trapezoid.
The rectangle has a length of 35 feet and a width of 20 feet, so its area is:
Area of rectangle = length x width = 35 ft x 20 ft = 700 sq ft
The triangle has a base of 15 feet and a height of 30 feet, so its area is:
Area of triangle = 0.5 x base x height = 0.5 x 15 ft x 30 ft = 225 sq ft
The trapezoid has bases of 35 feet and 20 feet, and a height of 30 feet. We can find the length of the trapezoid's top side by using the Pythagorean theorem:
a*a + b*b = c*c
where a and b are the lengths of the two known sides, and c is the length of the hypotenuse (the top side of the trapezoid).
Plugging in the numbers, we get:
20*2 + 15*15 = c*c
400 + 225 = c*c
625 = c*c
c = sqrt(625) = 25 ft
So the length of the top side of the trapezoid is 25 feet. To find the area of the trapezoid, we can use the formula:
Area of trapezoid = 0.5 x (base1 + base2) x height = 0.5 x (35 ft + 20 ft) x 30 ft = 825 sq ft
Now we can add up the areas of the three shapes to get the total area of the floor:
Total area = area of rectangle + area of triangle + area of trapezoid
Total area = 700 sq ft + 225 sq ft + 825 sq ft = 1750 sq ft
Finally, we can multiply the total area by the cost per square foot to get the total cost of the wax:
Total cost = total area x cost per square foot = 1750 sq ft x $1.38/sq ft = $2,417.50
Therefore, the answer is $2,417.50. Option (D) is the closest value to the correct answer, but it is still slightly off.
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vindows. Find the total surface area
4 ft
5 ft
5 ft
4 ft
7 ft
oft -
Answer:
6 x 4 = 24, 24 x 2 = 48
7 x 6 = 42
7 x 4 = 28, 28 x 2 = 56
6 x 4 x 1/2(basically just dividing by 2) = 12, 12 x 2(two triangles) = 24
5 x 5 = 25, 25 x 2 = 50
Add given areas:
48 + 42 + 56 + 24 + 50 = 220 ft^2 is your answer.
Purple paint is a mix of blue paint and red paint in the ratio of 7:4
How much blue and red paint is needed to make 1650 mL of purple paint?
Pls
Stanley surveyed his classmates to make a prediction about kids his age.
Hours
0
0.5
1.5
2
2.5
Number of Students
1
2
5
7
2
1
Use Step 1 of the GAISE model. Which could be a question Stanley asked?
A How long have you lived in this town?
B How long have you attended this school?
C How long do you spend on homework each day?
D How long have you spent learning a musical instrument?
Answer:
Step-by-step explanation:stanley chuppa mi colla
using the p-value rule for a population proportion or mean, if the level of significance is less than the p-value, the null hypothesis is rejected. group startstrue or false
The given statement "Using p-value rule for a population proportion or mean, if the level of significance is less than p-value, null hypothesis is rejected." is True because the hypothesis is rejected in this case.
In hypothesis testing, the p-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed test statistic, assuming that the null hypothesis is true. The level of significance, denoted by alpha, is the maximum probability of rejecting the null hypothesis when it is actually true.
If the p-value is less than the level of significance, it means that the observed test statistic is unlikely to have occurred by chance alone, assuming the null hypothesis is true. Therefore, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.
For example, suppose we are testing the hypothesis that the population mean is equal to a certain value. If the p-value is 0.02 and the level of significance is 0.05, we would reject the null hypothesis because the p-value is less than the level of significance.
This means that there is strong evidence against the null hypothesis and we can conclude that the population mean is likely different from the hypothesized value.
In summary, if the level of significance is less than the p-value, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.
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6.31 divided by 2.5? show work please and thanks!
Answer:
=2.524
Step-by-step explanation:
6.31
Divided by
2.5
6 divided by 2.5
= 2.4
Divide them up.
Convert the fraction to a decimal by dividing the numerator by the denominator.
= 2.524
Hope this helps.
Have a good night ma'am/sir.
Be safe!
In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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I need help on this can someone help me thank you it’s geometry:)
=========================================================
How to get this answer:
The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation \(BA \perp BD\). The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.
--------
(angle ABC) + (angle CBD) = angle ABD
4x + 5x = 90
9x = 90 ... combining like terms
9x/9 = 90/9 ... dividing both sides by 9
x = 10
-------
If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC
If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD
We see that ABC+CBD = 40+50 = 90
PLEASE IM BEGGING YOU PLEASE 100 POINTS
Hazel is trying to solve this inequality. After she solves it, she shows it to you, and she asks you if she did it correctly. This is the work she completed:
3(t+1)−4t≥−5
Step 1: 3t +3−4t≥−5
Step 2: −t+3≥−5
Step 3: −t≥−8
Step 4: t≥8
Part A: In which step did Hazel make a mistake?
Part B: How would you explain to Hazel what her mistake was, so she won't make the mistake again on a future test?
BoldItalicUnderline
Answer:
The step Hazel made the mistake in was step 2. She made the mistake of subtracting 3t-3. You cannot do this because they are not like terms. To be like terms, the second 3 would have to have a t on it as well.
Step-by-step explanation:
Find the sum of the second multiple of 9 and the fifth multiple of 6.
Answer:
48
Step-by-step explanation:
9,18
6,12,18,24,30
18 + 30 = 48