Answer:
6
Step-by-step explanation:
maximum calories in a day = 540
no. of calories from the dog food = 320 x 1 \(\frac{1}{2}\)
= 480
∴ she can have: 540 - 480
= 60 calories to stay inside calorie range
no. of new treats she can have = 60 ÷ 10
= 6
Hope this helps!
What kind of statistics are used in the following examples? Fill in the blank with either inferential or descriptive: A school psychologist finds that students who listen to music have decreased scores on their homework Fill in the blank with either descriptive or inferential What kind of statistics are used in the following example: A teacher reports the average score for a class Identify the dependent and independent variable
In the given examples, the kind of statistics that are used can be described as follows:1. A school psychologist finds that students who listen to music have decreased scores on their homework - Inferential statistics are used here.2. A teacher reports the average score for a class - Descriptive statistics are used here.
For identifying the dependent and independent variable, the following description can be given:
Dependent variable: This is the variable that is being tested and measured. In the given example, the dependent variable is the score on the homework.
Independent variable: This is the variable that is being manipulated. In the given example, the independent variable is the music that the students listen to.
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which family of function does the graph on the right belongs to?
A. trigonometric
B. logarithmic
C. exponential
D. retional
Answer:
wheres the graph
Step-by-step explanation:
Anna will spend $30 to buy chicken and beef. Anna uses an equation to determine the number of pounds of chicken (y) she can buy based on the number of poundsof beef (x) she buys.
A Anna can buy 5pounds of chicken when she buys 2 pounds of beef
B Anna will spend $2 to buy 5 pounds of chicken
C Anna can buy 2 pounds of chicken when she buys 5 pounds of beef
D Anna will spend $5 to buy 2 pounds of beef
Correct option for this is D, Anna will spend $5 to buy 2 pounds of beef
From statement A, we know that Anna can buy 5 pounds of chicken when she buys 2 pounds of beef.
We can use this information to find the slope of the line that represents Anna’s equation.
slope = (change in y) / (change in x) = (5 - 0) / (2 - 0) = 5/2
So the equation is y = (5/2)x + b, where b is the y-intercept.
From statement B, we know that Anna will spend $2 to buy 5 pounds of chicken. We can use this information to find the y-intercept.
y = (5/2)x + b 5
= (5/2)(2) + b
b = 5 - 5/2
b = 5/2
So the equation is y = (5/2)x + 5/2.
Now we can use this equation to answer statement C. If Anna buys 5 pounds of beef, then x = 5 and we can solve for y.
y = (5/2)(5) + 5/2 y = 25/2 + 5/2 y = 15
So Anna can buy 15 pounds of chicken when she buys 5 pounds of beef. Therefore, statement C is false.
Finally, we can use this equation to answer statement D. If Anna spends $30 in total and spends $5 to buy 2 pounds of beef, then she has $25 left to spend on chicken.
25 = (5/2)x x = 10
So Anna can buy 10 pounds of beef when she spends $5. Therefore, statement D is true.
Therefore, the correct answer is D.
What is pound ?
any of the several mass and weight units. especially: a measurement unit equivalent to 16 ounces (or 0.454 kilograms), which is commonly used among English-speaking peoples, see measure. the fundamental unit of currency in the United Kingdom. commonly known as the pound sterling.
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A gardener plants an orchard with 5776 trees. In each row there were as many trees as the number of rows. Find the number of rows.
Hint: Use the area of a square and your knowledge of square roots also working steps to complete the following
Answer:
76 rows
Step-by-step explanation:
square root\(\text{Number of rows = $\sqrt{5776}$}\)
= 76
Solve the equation for x: 212 = 314x.
Answer:
x=106/157
Step-by-step explanation:
Answer:
x=10/13
Step-by-step explanation:
Find the value of X.
Answer:
X=-2.5
Step-by-step explanation:
You take -7.5 and distribute to the x and 3 so that would be -7.5x-22.5=3.75 then you take -22.5 and do inverse operation and do 22.5 on both sides which then you will have -7.5x=-18.75 then you divide both side by -7.5 and get -2.5
Which model below represents a fraction that is equivalent to
4
8
Answer:
4/8 is one half
Step-by-step explanation:
construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99�% confidence. round the endpoints to two decimal places, if necessary.
We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.
The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.
Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:
Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)
Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:
Margin of Error = 2.878 * (30 / √18) ≈ 18.71
The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:
Interval Estimate = Sample Mean ± Margin of Error
Interval Estimate = $125 ± $18.71
Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.
# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.
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Marisol traveled 175 miles in 2 ½ hours. What was her average rate of speed?
Answer:
70 mph
Step-by-step explanation:
175 divided by 2.5 equals 70 so it would be 70 mph
HELP FAST FOR TEST PLZ
Find measure of angle 1
suppose that two boys named davis, three boys named jones, and four boys named smith are seated at random in a row containing nine seats. what is the probability that the davis boys will occupy the first two seats in the row, the jones boys will occupy the next three seats, and the smith boys will occupy the last four seats?
The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).
There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.
Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)
= \(\frac{2!3!4!}{9!}\)
= 0.0007937
= 7.937×\(10^{-4}\)
Hence, the probability is 7.937×\(10^{-4}\).
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8. The heights of female students at North Shore High School are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. About how many students in a random sample of 1000 female students could we expect to have heights less than 167.5 cm
The number of students with heights less than 163 cm should be expected is 12.
According to the statement
The mean of height is 175 cm
and the standard deviation of height is 6 cm.
We use normal distribution here with formula
Z= X - μ /σ
Here X is 167.5 and μ is 175 and σ is 6 cm.
Substitute the values in it then
Z = 167.5 - 175 / 6
Z = -1.25
-1.25 have a p value 0.012
Out of 1000 students:
0.012 x 1000 = 12.
So, The number of students with heights less than 163 cm should be expected is 12.
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PLEASE HELP ME IM BEING TIMED
The domain of the function is defined as 0 ≤ x ≤ 4.
option A is the correct answer.
What is the domain of a function?A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.
So the domain of a function is the set of x values, while the range of a function is the set of y values.
From the given statement, the range of the function is defined as;
y = vt
where;
v is the speedt is the time of motiony = 60 mph x 4 hr
y = 240 miles
From the given statement, the domain of the function is defined as;
0 ≤ x ≤ 4
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Solve for the unknown values.
Answer:
x=85 y=45
Step-by-step explanation:
x=180-95
y=180-(50+85)
y=180-135
y=45
could someone please help me?
Answer:
A. \(Log_p N = b \ and \ b^p = N\)
Step-by-step explanation:
A. The given options are;
\(Log_p N = b \ and \ b^p = N\)
For \(Log_p N = b\) we have;
\(p^b = N\)
However;
\(b^p = N\)
Where, p ≠ b
\(p^b \neq b^p\)
Therefore;
N ≠ N for the given pair and the pair are therefore, not equivalent
B. x = √y and \(x = y^{1/2}\)
We note that
x = √y = \(y^{1/2}\)
We have;
x = \(y^{1/2}\), by transitive property
Therefore, the pair, x = √y and \(x = y^{1/2}\) are equivalent
C. \(Log_b N = p \ and \ b^p = N\)
From \(Log_b N = p\), we have;
\(b^p = N\)
Therefore, \(Log_b N = p \ and \ b^p = N\) are equivalent pairs as \(b^p = N\) can be obtained from \(Log_b N = p\)
D. ㏑x = y and x = \(e^y\)
\(ln \ x = ln_e \ x = y\), therefore, by rules of logarithm, we have;
x = \(e^y\)
Therefore, ㏑x = y and x = \(e^y\) are equivalent pairs, as x = \(e^y\) can be obtained from ln x.
Therefore;
The option which are not equivalent pair is option is \(Log_p N = b \ and \ b^p = N\)
Add the following polynomials, then place the answer in the proper location on the grid
14x^2 - 8x + 3
-6x^2 + 7x - 11
The addition of the polynomials 14x² - 8x + 3 and - 6x² + 7x - 11 is 8x² - x - 8
Polynomial(14x^2 - 8x + 3) + (-6x^2 + 7x - 11)
= 14x² - 8x + 3 - 6x² + 7x - 11
collect like terms= 14x² - 6x² - 8x + 7x + 3 - 11
= 8x² - x - 8
Therefore, the addition of the polynomials 14x² - 8x + 3 and - 6x² + 7x - 11 is 8x² - x - 8
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2y - 3x + 6x - y
simplify this for me ?
Answer:
3x + y
Step-by-step explanation:
combine like terms
-3x + 6x = 3x
2y - y = y
Final Answer: 3x + y
See picture to answer!
Using the law of cosines, it is found that the length of side AB is of AB = 13.
What is the law of cosines?The law of cosines states that we can find the angle C of a triangle as follows:
\(c^2 = a^2 + b^2 - 2ab\cos{C}\)
in which:
c is the length of the side opposite to angle C.a and b are the lengths of the other sides.For this problem, the parameters are:
C = 120, a = 8, b = 7.
Hence:
\(c^2 = a^2 + b^2 - 2ab\cos{C}\)
\(c^2 = 8^2 + 7^2 - 2(8)(7)\cos{120^\circ}\)
\(c^2 = 169\)
\(c = \sqrt{169}\)
c = 13.
Hence AB = 13.
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PLEASE ANSWER THIS QUICKLY- I WILL MARK YOU BRAINLIST IF YOU SHOW YOUR WORK!
Answer:
3, 130 degrees
Step-by-step explanation:
Angles TUW and VUW are congruent, so their opposite sides will be congruent as well
GF and IF are congruent, so their opposite angles will be congruent as well. 65 + 65 is 130 degrees.
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer. There are 12 more orange popsicles than grape popsicles. How many grape popsicles are there in Reid's freezer?
Answer:
3 grape popsicles
Step-by-step explanation:
Let us represent
Orange popsicles = x
Grape popsicles = y
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer.
x = 5y ..... Equation 1
There are 12 more orange popsicles than grape popsicles.
x = y + 12..... Equation 2
Hence, we substitute 5y for x in Equation 2
5y = y + 12
5y - y = 12
4y = 12
y = 12/4
y = 3
Note that, Grape popsicles = y
y = 3 grape popsicles.
Therefore, the number of grape popsicles that are there in Reid's freezer is 3 grape popsicles
Answer:
17b popsicles
Step-by-step explanation:
Select the correct answer.
Solve the following inequality for x.
-26 + 13z + 2 > 2 132
O A. X<2
X2-1
OB.
O C.
X>1
OD. x < -2
z >1 for the given inequality for x.
To solve the following inequality for x.
-26 + 13z + 2 > 2 132
Since there is no x in this I'm assuming we are looking for z
Step 1: Simplify both sides
15r - 26 > -13z + 2
Step 2: Add 13z to both sides
15r - 26 + 13z > -13z + 2 + 13z
28 - 26 > 2
Step 3: Add 26 on both sides
28 - 26 + 26 > 2 + 26
28z > 28
Step 4: Divide both sides by 28z / 28 > 28 / 28
z > 1
Hence the answer is z >1 for the given inequality for x.
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What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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which of the following values could not represent a correlation coefficient? a. 0 b. 0.927 c. −1 d. 1.032
A correlation coefficient, r can never be less than -1 or greater than 1. Thus, d. 1.032 is not possible as a correlation coefficient.
The correlation coefficient, r is a measure of the direction and strength of the linear relationship between two variables. The correlation coefficient (r) varies between -1 and 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation. A value greater than 1 or less than -1 is not possible. Therefore, the value that could not represent a correlation coefficient is d. 1.032.
Given, the correlation coefficient varies between -1 and 1. The value that could not represent a correlation coefficient is 1.032 since it is greater than 1. A correlation coefficient, r of -1 indicates a perfect negative correlation where one variable decreases as the other increases. A correlation coefficient, r of 1 indicates a perfect positive correlation where both variables move in the same direction. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient, r can never be less than -1 or greater than 1.
Thus, d. 1.032 is not possible as a correlation coefficient.
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Please help! Find the value of x using the Triangle Angle Bisector Theorem.
Answer:
x ≈ 29.076 ≈ 29.1
Step-by-step explanation:
Given BA=22.2, AD=11.3, DC=14.8, and BC =x in triangle ABC with angle bisector BD, you want to find the value of x.
ProportionThe angle bisector divides the sides proportionally. This means ...
BC/BA = CD/AD
x/22.2 = 14.8/11.3 . . . . substitute given values
x = 22.2(148/113) ≈ 29.076 ≈ 29.1
The value of x is about 29.1.
__
Additional comment
We have rounded x to 1 dp to match the other dimensions in the figure. Its exact value is 29 43/565.
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles. What type of triangle is created by the three cities
The triangle formed by cities A, B, and C is an obtuse triangle.
To determine the type of triangle formed, we can analyze the lengths of the sides. According to the given information, the distance between city A and city B is 22 miles, between city B and city C is 54 miles, and between city A and city C is 51 miles.
Using the triangle inequality theorem, we find that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. However, in this case, 22 + 54 = 76, which is less than 51. Therefore, the triangle violates the triangle inequality, indicating that it is an obtuse triangle.
An obtuse triangle is a triangle where one of the angles measures greater than 90 degrees. In this scenario, the angle formed at city C is the obtuse angle.
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What is a concave hexagon with 2 pairs of congruent sides?
A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.
A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,
it means that four of its sides have the same length, if the shape curves inward at one or more angles,
it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.
Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.
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A high school track team's long jump record is 22 ft 6 3/4 in. This year, Arthur's best long jump is 22 ft 5 1/2 in. If long jumps are measured to the nearest quarter inch, how much farther must Arthur jump to break the record?
Answer:
To compare Arthur's long jump to the record, we need to convert both measurements to the same unit. Let's convert both measurements to inches:
Record: 22 ft 6 3/4 in = (22 x 12) + 6 + 3/4 = 270 + 6 + 0.75 = 276.75 in
Arthur's jump: 22 ft 5 1/2 in = (22 x 12) + 5 + 1/2 = 270 + 5 + 0.5 = 275.5 in
To determine how much farther Arthur needs to jump to break the record, we subtract Arthur's jump distance from the record distance:
Record distance - Arthur's jump distance = 276.75 in - 275.5 in = 1.25 in
However, we are told that long jumps are measured to the nearest quarter inch. Therefore, we need to round the difference to the nearest quarter inch. Since 1.25 inches is closer to 1.25 than it is to 1.5, we round down to the nearest quarter inch. This gives us:
1.25 in ≈ 1.25/4 = 0.3125 quarters ≈ 0.25 quarters
Therefore, Arthur needs to jump an additional 0.25 quarters (or 1/16 of an inch) to break the record.
List all the permutations of four objects m, I, n, and k taken two at a time without repetition. What is P? List all the permutations of four objects m, I, n, and k taken two at a time without repetition. Choose the correct answer below. O A. m, mn, mk, In, lk, nk OB. ml, mn, mk, Im, in, lk, nm, nl, nk, km, kl, kn OC. m. I, n,k OD. mm, ml, mn, mk, II, In, lk, nn, nk, kk What is P2?
The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.
P is the total number of permutations, which is equal to 12.
The correct answer is OB, which lists all 12 permutations.
P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.
There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.
Therefore, P2 is equal to 16.
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Mike has a pack of skittles. In the pack 5 are red, 7 are yellow and 6 are purple. What is the ratio of yellow to all skittles?
The ratio of yellow to all skittles is
\(\frac{7}{18}\)\(\text{The ratio of yellow=}\frac{number\text{ of yellow}}{\text{total skittles}}=\frac{7}{(5+7+6)}=\frac{7}{18}\)Pls hurry!! It’s a quick question
Answer:
3/2
Step-by-step explanation: