Answer:
30
Step by step explanation:
lol
The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minute to empty the tank of the truck . How many gallons of water were in the tank?
Answer:
ask the person who poured it how many gallons did they pour
Step-by-step explanation:
ask melanie martineź parents
Answer:
Question 1, it was 4500 gallons of water in the tank
Question 2, it will take 70 minutes to fill the pool with water
Step-by-step explanation:
Question 1 explanation, just multiply 150 times the minutes
Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of the roast drops to 135°F.
The temperature of the room is 70°F.
How long does it take for the temperature of the roast to drop to 110°F?
Step-by-step explanation:
Rate of drop of temperature = Change in temperature/Rate
=> (165 - 135)/15
=> 30/15
=> 2 ⁰F/min
Now, The time at which the temperature of will be 70⁰F = 70/Rate
=> 70/2
=> 35 min
Time for 110⁰ F
=> 110/2
=> 55 min
Answer:
34
Step-by-step explanation:
I just took the test.
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
Write the conjunction of the following two statement Tois summer It is showing
It is summer but it is snowing.
Enter the number that belongs in the green box
Check the picture below.
\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)
Make sure your calculator is in Degree mode.
Nvm I found the answer
Find the mode for the group of data items.If there is no mode, so state.
1.1, 2.3, 1.6, 2.9, 1.1, 2.3, 1.1, 8.8, 8.8, 1.8
Answer:
the mode of this question is 1.1
Answer:
1.1
Step-by-step explanation:
it appears more because mode is the most frequent
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.
Answer:
a
The null hypothesis is \(H_o : \mu = 180\)
The alternative hypothesis is \(H_a : \mu < 180\)
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 3 \ minutes = 180 \ seconds \)
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu = 180\)
The alternative hypothesis is \(H_a : \mu < 180\)
Generally the sample mean is mathematically represented as
\(\= x = \frac{156 + 136 + \cdots + 181}{25}\)
=> \(\= x = 173.2 \)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }\)
=> \(\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }\)
=> \(\sigma = 24.261\)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }\)
=> \(t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }\)
=> \( z = -1.40\)
Generally p-value is mathematically represented as
\(p-value = P(Z < z)\)
=> \(p-value = P(Z < -1.40)\)
From the z-table
\(P(Z < -1.40) = 0.080757\)
=> \(p-value = 0.080757 \)
From the obtained value we that \(p-value > \alpha\)
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
If the probability that a randomly chosen college student takes statistics is 0.24, then what is the probability that a randomly chosen college student does not take statistics? Give your answer as a decimal.
Answer:
The probability that a randomly chosen college student does not take statistics is 0.76.
Step-by-step explanation:
The probability of an event happening and the probability of its complement (the event not happening) must add up to 1. Therefore, if the probability that a randomly chosen college student takes statistics is 0.24, then the probability that they do not take statistics is:
1 - 0.24 = 0.76
So the probability that a randomly chosen college student does not take statistics is 0.76 or 76%.
Which figure is described below?
The locus of points in a plane
equidistant between y = 5 and
y = -3.
A. 1 line
B. 1 plane
C. 2 planes
D. 2 lines
============================================================
Explanation:
The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).
Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)
Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)
The midpoint of (1,5) and (1,-3) is (1,1)
We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).
So that's why the answer is A) 1 line
------------
Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.
I need help with this question
Answer:
5/7
Step-by-step explanation:
ratio of boys to girls---> 2:5
ratio sum: 2+5=7
girls ratio =5/7
OR
total of people in 7th grade choir=28
hence, no of girls in 7th grade choir=5/7 × 28
=20
proportion of girls in choir= 20/28 = 5/7
i need help figuring this out.
Answer:
b
Step-by-step explanation:
Select the statement that is true a.16.7-8=2.9×3 b. 4×3.2=17.8-5 c.10.5÷5+1=8.8÷4 d.
Answer:
b
4 x 3.2 = 12.8
17.8 - 5 =12.8
so,
4 x 3.2 = 17.8-5
12.8=12.8
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
HCF of 560 and 729 :)
The HCF of 560 and 729 is 1.
To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.
Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.
Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.
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Billy has 150 Star Wars action figures. The figures made in 1977 sold for $20 each
and the figures sold in 1999 sold for $12 each. He made a total of $2,560. How many
of each type were there?
pls help
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is
%.
The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.
To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.
First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.
Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.
The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.
(3/10) * 100 = 0.3 * 100 = 30%
Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.
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A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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A researcher is concerned that graduate students get less than the recommended 8 hours of sleep a night. She selects a random sample of 45 students at a local university and asks them how much sleep they get on a typical night.
Answer:
H0 : μ = 8
H1 : μ < 8
Test statistic = - 7.51
conclude that there is statistical significance that student at the school get less than 8 hours of sleep on average.
Step-by-step explanation:
The hypothesis :
H0 : μ = 8
H1 : μ < 8
The test statistic :
(xbar - μ) ÷ (s/√(n))
Sample data :
1.75, 2, 2.25, 2.25, 2.5, 3, 3.5, 3.5, 3.5, 3.75, 4, 4.25, 4.5, 4.5, 4.5, 4.75, 5.25, 5.5, 5.75, 5.75, 5.75, 6, 6, 6, 6.25, 6.25, 6.25, 6.5, 6.5, 6.5, 6.75, 7, 7, 7, 7.5, 7.5, 7.75, 8, 8.25, 8.25, 8.25, 8.5, 8.75, 9, 9
Using calculator :
Sample mean, xbar = 5.71666
Sample standard deviation, s = 2.04
The test statistic :
(5.7166 - 8) ÷ (2.04/√(45))
-2.28 / 0.3041052
= - 7.5085
= - 7.51
Degree of freedom = 45 - 1 = 44
Pvalue(-7.51, 44) = 0.00001
α = 1% = 0.01
Since Pvalue < α ; we reject H0 and conclude that there is statistical significance that student at the school get less than 8 hours of sleep on average.
Write and solve an equation to find the value of x.
The value of x for each item is given as follows:
28. x = 5.
29. x = 3.44.
How to obtain the value of x in each item?For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:
16x = 10 x 8
16x = 80
x = 5.
For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:
10(x + 10) = 12(12 + 25)
10x + 100 = 444
10x = 344
x = 3.44.
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Mrs. Smith earns $3500 a month. She saves $200 a month. Savings is what percent
of her income?
The teams are trying to defend their goal and scoring in the opponent's goal even if their opponent's score is higher than them.what values is shown in this situation
Answer:
However, if the initial receiving team only scores a field goal, the game is not automatically over and the other team is given an opportunity .
sana makatulong
Step-by-step explanation:
4. Simplify each expression:
a. 14x - 6x + 12
1.
(x - 6)(x - 7)
b. 14 - 4x - 8 + 3x
j.
(7x - 12 + 2y) - (7x + 14 - 2y)
c. 10x2 - 5x + x2 - 5x
k. (x + 4)(x - 6)
d. 4x2 - 10x - 7 - 2x2 + x
I.
(x + 3)(x + 10)
e. 5(2x2 - 4x + 9)
m. 507 - 2x) - 7(4 - 3x)
f. 2(3x² + 7x - 4)
n. -7x + 8(x - 1) + 15
g. 8x(3x - 1)
o. 10x - 8(x - 5)
h. 3x(3x + 10)
p. 4(3 + 2x) + 7(8 - 3x)
Answer:
a. 8x+12
b.6-x
c.20-8x
d.-3-9x
e.65-20x
f.6x^2+14x-8
g. 24x^2-8x
h. 9x^2+30x
1. x^2-13x+42
j. 26+4y
k. x^2-2x-24
l. x^2+13x+30
m. 429+23x
n. 15x-7
o. 2x-40
p. 68-13x
Step-by-step explanation:
Select all polynomials that have by (x -3) as a factor.
Choose all answers that apply:
A. A(x) = x^3-2x^2-4x+3
B. B(x) = x^3+3x^2-2x-6
C. C(x) = x^4-2x^3-27
D. D(x) = x^4-20x-21
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Find x. √11 X = √17 VIRI X
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep.(in other woords, the water level is 5 feet above the ground.) You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now 4 feet. You nottice that there is a relationship between the time has passed to the height of the water level in the pool.
Answer:
each 10 minutes equals 1 foot
Step-by-step explanation:
The relationship between the time has passed to the height of the water level in the pool is h(t) = 5 - (1/40)t.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon.
The water in the pool is 5 feet deep.
Let h be the height of the water level.
t is the time.
From the data given the equation for the function in terms of t can be framed as follows:
The present height per minute = 1/40
h(t) = 5 - (1/40)t
Thus, the relationship between the time that has passed to the height of the water level in the pool is h(t) = 5 - (1/40)t.
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