Answer:
Elin concluded that car B travels a distance of 265.8 km during the same time based on her interpretation of the given information.
Step-by-step explanation:
My apologies for the confusion. Let's analyze how Elin arrived at her answer.
According to the given information, car A travels 221.5 km at a given time. Elin interpreted the statement "car B travels 1.2 times the distance car A travels at the same time" to mean that the distance traveled by car B is 1.2 times the distance traveled by car A.
To calculate the distance traveled by car B, Elin multiplied the distance of car A (221.5 km) by 1.2:
Distance of Car B = 1.2 * Distance of Car A
Distance of Car B = 1.2 * 221.5 km
Distance of Car B = 265.8 km
Therefore, Elin concluded that car B travels a distance of 265.8 km during the same time based on her interpretation of the given information.
Find the area to this shape
Answer:
A= 42.5
Step-by-step explanation:
2*5= 10
10/2=5
2*2= 4
4/2=2
5+2+4=11
3.5*9= 31.5
31.5+11=42.5
Sorry if this is wrong if it is wrong please let me know I think I know what I did wrong if it is wrong
Sarah mixes ⅓ cup of sugar with ½ cup of cream cheese to make a topping for cupcakes. Sarah uses 3/12 cup of the mixture to top each cupcake. How many cupcakes can Sarah top?
Answer:
thanks for the points
Step-by-step explanation:
An investigation of wages paid to its employees by a large company was undertaken as a result of an allegation of discrimination. Data was collected for 1000 randomly selected employees. The data included employee ID, gender, race, annual wages in dollars (Salary), whether the employee had full-time status or part-time status (Full_Part), number of years of education (Ed), and number of years with the company (Tenure). The first two rows of data in the worksheet are displayed below.
1 Gender Race Salary Full_Part Ed Tenure
2 Female Caucasian 32196 Full 14 2
3 Male Black 62385 Full 16 10
How many cases does this data set contain?
How many variables does this data set contain? (3 p)
How many quantitative variables does this data set contain, and what are they? How many qualitative variables does this data set contain, and what are they?
Answer:
Step-by-step explanation:
First, the data set is:
Gender Race Salary WorkTimeStatus Education Tenure
1. Female Caucasian 32196 Full Time 14yrs 2 yrs
2. Male Black 62385 Full Time 16yrs 10yrs
Now to the questions:
(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).
(B) This data set contains 6 variables;
1. Gender 2. Race 3. Salary 4. Work time status 5. Years of education
6. Number of years in/with the company
(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:
3. Salary 5. Years of education 6. Years with the company
Altogether, 3 in number
(D) The qualitative variables are:
1. Gender 2. Race 4. Work Time Status
Altogether that's 3 variables
can someone help me with this quickly
Answer:
99
Step-by-step explanation:
A 41 B is a right angle triangle =90 add 41+90 =131 then subtract angle D = 32
so 131-32 = 99 answer I hope it helps u
Explain with steps please and thank you! :)
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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2.5 divided by 0.5 what would that be
Answer:
1.25
Step-by-step explanation:
1/2 of 2.5 is 1.25
Think of it as the following
250 divided by 2 is 125 because 125+125=250
Answer:
5
Step-by-step explanation:
2.5 divided by 0.5 would = 5
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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What number is in the hundredths place in 77.52
Answer:
That would be 2, I hope this helps you! :D
Answer:
2 is in the hundredth place
it goes like
tenth-> hundredth->thousandth
please mark me as brainliest
The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?
Answer:
\(f(x) =3\,*\,\,4^x\)
Step-by-step explanation:
to find the equation of an exponential function, just points on the function's graph are needed.
Recall that the exponential function has a general expression given by:
\(f(x) = a \,e^{b\,x}\)
so we impose the condition for the function going through the first point (0,3) as:
\(f(0) = a \,e^{b\,(0)}= 3\\a\,e^0=3\\a\,(1)=3\\a = 3\)
Now,knowing the parameter a, we can find the parameter b using the other point:
\(f(1) = 3 \,e^{b\,x}= 12\\3\,e^{b\,(1)}=12\\e^b=12/3\\e^b=4\\b=ln(4)\)
Therefore, the function can be written as:
\(f(x) = 3 \,e^{ln(4)\,x}=3\,\,\,4^x\)
Answer:
C)
h(x) = 3(4)x
Write the prime factorization of 45. Use exponents when appropriate and order the factors from least to greatest (for example, 2235)
The prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the number.
Using prime factorisation, we shall consider the first five prime numbers which are; 2, 3, 5, 7, and 11.
45 cannot be divided by 2 without a remainder so we use 3;
45/3 = 15
15 can also be divided by 3 so;
15/3 = 5
3 cannot divide 5 without a remainder so we use 5;
5/5 = 1
hence;
45 = 3 × 3 × 5
45 = 3² × 5¹
Therefore, the prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹
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Precalculus question:
A polynomial f(x) and one or more of its zeros are given. (pictured below)
a) Find all the zeros. Write in the exact simplest form.
b) Factor f(x) as a product of linear factors
c) Solve the equation f(x)=0
Considering the polynomial f(x) = x^4 - 16x³ + 70x² + 48x - 219, we have that:
a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.
b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).
c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.
How to obtain the zeros of the polynomial?The given zero of the polynomial is:
8 + 3i
Hence it's conjugate is also a zero, that is:
8 - 3i.
Thus the first two factors are given as follows:
(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.
Then the polynomial can be written as follows:
x^4 - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).
As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:
x^4 - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.
Then the coefficients are given as follows:
a = 1.55c = -219 -> c = -219/55 -> c = -3.98.b - 16a = -16 -> b = 0.Hence the other two factors are given as follows:
x² - 3.98 = 0
x = ± sqrt(3.98)
x = ± 1.995.
The linear factors are:
(x - x')(x - x'')(x - x''')(x - x'''').
In which x', x'', x''' and x'''' are the roots.
The solutions to f(x) = 0 are the roots.
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Use the graph to answer the question. Where was the object after 2 seconds?
A. 6m
B. 5m
C. 14m
D. 4m
Answer: A. 6m
Step-by-step explanation: the graph shows at the x axis that it is time. so, go to two seconds and then go up to where the line is. it goes up to 6m so that is the answer.
You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.23. Your sample data produce the test statistic. z=1.438. Find the p-value accurate to 4 decimal places.
According to the z-score distribution table, we find out that the p-value is 0.0752 for the given test statistic of z = 1.438 which is accurate to four decimal places.
It is given to us that -
A study is conducted to see if the probability of catching the flu this year is significantly more than 0.23
The sample data produces the test statistic
The value of z = 1.438
We have to find out the p-value accurate to four decimal places.
We know that the p-value is known as the decimal value which can be expressed from 0 to 100%. This p-value is important in hypothesis testing in order to establish the significance of the results expected.
We are given that the test statistic, z = 1.438 and we know that this is a two-tailed test.
So, we can obtain the p-value from the z distribution table.
P-value = 2P (Z<1.438)
=> P-value = 0.0752 [Value from z-score table]
Thus, from the z-score distribution table, we find out that the p-value is 0.0752 which is accurate to four decimal places.
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A parabola is the set of all points that...
Answer:
is equidistant from a focus point and a line
Answer:
what
Step-by-step explanation:
pa brainliest tol please
How would you describe the plants growth? Please help!!!!
Answer:
increasing
Step-by-step explanation:
it's increasing because throughout the days you can see that the plants growth is slowly progressing in this case going up on the grpah.
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
please helppppp:(((((
Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
A certain shows two s. A is long but is long on the . What is the unit rate for per on this ? If B is long, how long is B on the ? The unit rate is nothing () per .
Answer:
44
Step-by-step explanation:
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
Please help. Math work.
Answer:
\( \frac{5}{6} \)
During an angiogram, heart problems can be examined via a small tube (a catheter) threaded into the heart from a vein in the patient’s leg. It’s important that the company who manufactures the catheter maintain a diameter of 2.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurement to test H0: μ = 2.00 against HA: μ ≠ 2.00 at a significance level of α = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected.
a) Is this a one-sided or two-sided test? In the context of the problem, why do you think this is important?
b) Explain in this context what happens if the quality control people commit a Type I error and explain the implications.
c) Explain in this context what happens if the quality control people commit a Type II error and explain the implications.
Suppose that the catheter company is reviewing its testing procedure.
d) If the significance level is changed to α = 0.01 will the probability of Type II error increase, decrease, or remain the same?
e) What is meant by the power of the test the company conducts?
f) Suppose the manufacturing process is slipping out of proper adjustment. As the actual mean diameter of the catheters produced gets farther and farther above the desired 2.00 mm, will the power of the quality control test increase, decrease, or remain the same?
g) What could this company do to improve the power of the test?
a) This is a one-tailed test, where the alternative hypothesis is that the mean diameter of the catheters is different from 2.00 mm. One-tailed tests are important in this context because if the quality control personnel discover a problem,
They need to know whether the mean diameter is smaller or larger than 2.00 mm, so they can take corrective action to maintain the desired diameter.
b) If the quality control personnel commit a Type I error, they will reject the null hypothesis when it is actually true. In this context, this means that they will stop the manufacturing process even though the mean diameter of the catheters is actually 2.00 mm. This can lead to wasted time, increased costs, and a decrease in the company's reputation for producing high-quality products.
c) If the quality control personnel commit a Type II error, they will fail to reject the null hypothesis when it is actually false. In this context, this means that they will continue the manufacturing process even though the mean diameter of the catheters is actually different from 2.00 mm, which can lead to a decrease in the quality of the product and potentially harm patients who use the catheters.
d) If the significance level is changed to alpha = 0.01, the probability of Type II error will decrease, because a lower significance level means that the test is more stringent and less likely to accept the null hypothesis when it is actually false.
e) The power of the test is the probability of correctly rejecting the null hypothesis when it is actually false. In this context, it is the probability of detecting a problem with the mean diameter of the catheters if there actually is one.
f) If the actual mean diameter of the catheters produced gets farther and farther above the desired 2.00 mm, the power of the quality control test will increase, because the test is more likely to detect a difference between the actual and desired mean diameters.
g) To improve the power of the test, the company could increase the sample size, increase the significance level, or choose a more appropriate statistical test. Another option is to use a more sensitive measure of the mean diameter of the catheters, such as using a smaller standard deviation or measuring the diameter more frequently.
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could you help me with this problem please
1. Using the quadratic formula
\(x=(-b\pm\sqrt{b^{2}-4ac})/2a\)
\(x=(-4\pm\sqrt{16-64} )/2\)
\(x=[-4\pm(-4\sqrt{3}i)]/2\\x=-2\pm2\sqrt{3}i\)
so, its c-Hunter
Answer:
\(x = -2 \pm 2i\sqrt{3}}\)
Explanation:
given quadratic sample: x²+4x+16=0
Quadratic formula: \(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)
Here a = 1, b = 4, c = 16 [ which are coefficients from ax²+bx+c ]
using the formula:
→ \(x = \frac{ -4 \pm \sqrt{4^2 - 4*1*16}}{2*1}\)
→ \(x = \frac{ -4 \pm \sqrt{-48}}{2}\)
→ \(x = \frac{ -4 \pm 4i\sqrt{3}}{2}\)
→ \(x = -2 \pm 2i\sqrt{3}}\)
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
an=26-6n find the 5th term in the sequence
5th term of the sequence is -4
To find the 5th term in the sequence, we need to substitute n = 5 into the expression given
\(a_5\) = 26- 6( 5)
\(a_5\) = 26- 30
\(a_5\) = -4
The formula given, an = 26- 6n, represents an computation sequence with a common difference of-6.
This means that each term in the sequence is attained by obtain 6 from the former term.
It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the matching value of n.
In this case, we were asked to find the 5th term, so we substituted n = 5 into the formula to get a5 = -4.
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Antonio bought a shirt for 1/2 off. He paid $21.75 for the shirt s. Draw a bar diagram to find the original cost of the shirt.
Answer:
21.75 times 2 is 43.5
John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?
Answer:
End Balance: $5,160.00
Total Interest: $2,160.00
Step-by-step explanation:
Total Interest =$3000 × 2% × 3 × 12
=$2,160.00
End Balance =$3000 + $2,160.00
=$5,160.00
Answer:
can we get the options
Step-by-step explanation:
HELP PLEASE HELP SHOW WORK ASAP
Answer:
The answer is 4.5 miles.
Step-by-step explanation:
To solve this problem, we must remember that the shortest distance between two points lies along a straight line. In this case, this straight line is the hypotenuse of the triangle formed with the 2 mile and 4 mile legs. As a result, we can use the Pythagorean Theorem to find the distance between Lisa's house and the pool.
Pythagorean Theorem:
a² + b² = c²
2² + 4² = c²
c² = 4 + 16
c = √20
c = 4.5 miles (rounded to the nearest tenth)
Therefore, the shortest distance between Lisa's house and the pool is 4.5 miles.
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\(\blue{\huge {\mathrm{PYTHAGOREAN \; THEOREM}}}\)
\(\\\)
\({===========================================}\)
\({\underline{\huge \mathbb{Q} {\large \mathrm {UESTION : }}}}\)
Lisa's school is located 2 miles north of her house. The pool is located 4 miles east of her school. What is the shortest distance between her house and the pool? Round your answer to the nearest tenth of a mile.\({===========================================}\)
\( {\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \)
The shortest distance between Lisa's house and the pool is 4.5 miles (rounded to the nearest tenth of a mile).*Please read and understand my solution. Don't just rely on my direct answer*
\({===========================================}\)
\({\underline{\huge \mathbb{S} {\large \mathrm {OLUTION : }}}}\)
We can use the Pythagorean theorem to find the shortest distance between Lisa's house and the pool.
Let's call the distance we're trying to find "d". We know that Lisa's school is 2 miles north of her house and the pool is 4 miles east of her school, so we can draw a triangle with the following sides:
a = 2 miles (the vertical side, from Lisa's house to her school)b = 4 miles (the horizontal side, from Lisa's school to the pool) c = d (the hypotenuse, the shortest distance from Lisa's house to the pool)Using the Pythagorean theorem, we can find d:
\(\qquad\qquad\qquad\begin{aligned}\sf c^2& =\sf a^2 + b^2\\\sf d^2& =\sf 2^2 + 4^2\\\sf d^2& =\sf 4 + 16\\\sf d^2& =\sf 20\\\sf d& =\sf \sqrt{20}\\\bold{d}& =\sf \boxed{\bold{\: 4.5\: miles\:}}\end{aligned}\)
\(\\\)
Therefore, the shortest distance between Lisa's house and the pool is 4.5 miles (rounded to the nearest tenth of a mile).
\({===========================================}\)
\(- \large\sf\copyright \: \large\tt{AriesLaveau}\large\qquad\qquad\qquad\tt 04/01/2023\)
Aaron ate 1/2 of a blueberry pie and 2/3 of an apple pie how much pie did she eat
Answer:
7/6pie. i think
Step-by-step explanation:
1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6
Answer:
1 and 1/6
Step-by-step explanation:
1/2 + 2/3 = 3/6 +4/6= 1 1/6
find sin(x) if cos(x) = -22/29
Answer:
sin(x) = ±(√357)/29 ≈ ±0.651533
Step-by-step explanation:
The relation between sine and cosine is ...
sin(x) = ±√(1 -cos(x)^2)
sin(x) = ±√(1 -(-22/29)^2) = √(1 -484/841) = √(357/841)
sin(x) = ±(√357)/29
_____
Additional comment
The sign of the cosine is negative, which places the angle in quadrant II or III. In quadrant II, the sine is positive; in quadrant III, the sine is negative. That is, we cannot tell which sign to apply from the information given.
(20, 21, 29) is a Pythagorean triple. We suspect a typo in the question: 22 is used where 20 or 21 is likely intended.