The winner of a 100 mile race drove his car to victory at a rate of 120.1229 mph. What was his time to the nearest thousandth of an hour)?
His time was hours.
(Round to the nearest thousandth.)
Answer:
\(t=1.201\ \text{hour}\)
Step-by-step explanation:
Given that,
Distance, d = 100 mile
Velocity of the winner, v = 120.1229 mph
We know that velocity of an object is equal to distance per unit time. Let t is the time. So,
\(v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{120.1229}{100 }\\\\t=1.201229\ \text{hour}\\\\\text{Round to the nearest thousandth}\\\\t=1.201\ \text{hour}\)
Hence, 1.201 hour is taken by the winner.
What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and Choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...
Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3
Step-by-step explanation:
Answer:
(1st box) = 6
(2nd box) = 2
(3rd box) = 2/3
Step-by-step explanation:
I got a big brain
Which function is represented by this graph?
-10 -8 -6 -4 -2
-10
-2
-6
-8
-10
2
4
6
8
10
The standard absolute value graph has been shifted 7 units to the right and 3 units down to get this graph.
That means we have answer B: f(x) = | x - 7 | - 3
Remember that the left-right shifts are opposite from what they would appear to be in the equation.
| x - 7 | shifts it right 7 units.
| x + 7 | shifts it left 7 units.
Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}x-7y=-3\\\\4x+y=7\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ x−7y=−3 4x+y=7 \begin{cases}4x+y=7\\\\x-7y=-3\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 4x+y=7 x−7y=−3 1) How can we get System BBB from System AAA?
Answer:
A System
5x+y=3
4x−7y=8
B System
5x+y=3
x+8y=−5
1) How can we get System B from System A?
CORRECT (SELECTED)
Replace one equation with the sum/difference of both equations
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
CORRECT (SELECTED)
Yes
Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6
Please help (easy economics question)!!!
The dollar value of total revenue at each price is $\(0\), $\(10\), $\(12\), $\(12\), $\(10\), and $\(6\). Total revenue will be the greatest at a price of $\(4\), with \(3\) units sold.
To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:
Price: $\(6\)
Quantity: \(0\)
Total Revenue: $\(6 \times 0\) = $\(0\)
Price: $\(5\)
Quantity: \(2\)
Total Revenue: $\(5 \times 2\) = $\(10\)
Price: $\(4\)
Quantity: \(3\)
Total Revenue: $\(4 \times 3\) = $\(12\)
Price: $\(3\)
Quantity: \(4\)
Total Revenue: $\(3 \times 4\) = $\(12\)
Price: $\(2\)
Quantity: \(5\)
Total Revenue: $\(2 \times 5\) = $\(10\)
Price: $\(1\)
Quantity: \(6\)
Total Revenue: $\(1 \times 6\) = $\(6\)
To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $\(3\), and the corresponding quantity sold is \(4\) units.
Therefore, at a price of $\(3\), the total revenue will be the greatest, with \(4\) units sold.
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18kg in the ratio 2:7
Answer:
Step-by-step explanation:
Let the ratios be 2x and 7x respectively.
Now,
2x + 7x = 18
= 9x = 18
= x = 18/9
= x = 2
Hence, 2x = 2*2 = 4
And, 7x = 7*2 = 14
the competitive advantage of some small american factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of . suppose the sample variance for parts turns out to be . use , to test
The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.
Consider the above given that
⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)
⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)
⇒\(H_{a} : \sigma^2 > 0.0004\)
The null and alternative hypothesis test statistic:
Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)
\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)
⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)
\(& =82,500 \times 0.0005 \\\)
⇒\(& \mathrm{x}^2=41.25\)
⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)
⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)
⇒p value=p(z>41.25)
⇒p value=0.1533
By using P Value from Chi-Square Calculator
⇒p value=0.1533
⇒P value >0.05
Fail to reject the null hypothesis.
There is insufficient evidence to support the claim p value greater than the significance level 0.05.Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.
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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.
\(H_{0} \\H_{a}\)
Test statistic:
The p-value is-------.
I need the answer ASAP please. I would appreciate the help
Answer:
a) 293 units
b) 5795p
Step-by-step explanation:
First, determine how many units used
Take the new reading and subtract the old reading
6538 - 6245
293 units
The first 200 is at 22p
200 * 22 p =4400p
293 -200 = 93 units at the remaining unit price.
93 * 15 p =1395p
Add the two totals together
4400p + 1395p =5795p
Selma spent9/10 of her allowance on a new backpack. What percent of her allowance did she spend?
Converting fraction to percent is simply dividing the numerator by the denominator then multiplying the answer to 100. Here:
\(\begin{gathered} \frac{9}{10}=0.9 \\ 0.9\times100=90 \end{gathered}\)Therefore, 9/10 = 90%.
Selma spent 90% of her allowance on a new backpack.
how many solutions does this equation have -x+2y=6 -x+2y=0
Answer:
none
Step-by-step explanation:
-x + 2y cannot equal both 6 and 0 at the same time
which value make the inequality c+10<17
Answer:
c < 7
Step-by-step explanation:
Given inequality:
c + 10 < 17
Subtract 10 from both sides:
⇒ c + 10 - 10 < 17 - 10
⇒ c < 7
Let's solve
c+10<17c<17-10c<7The solution set is
(-oo,7)
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 103°, a = 12 cm, c = 22 cm (5 points) a 128.62 cm2 b 132 cm2 c 29.69 cm2 d 257.23 cm2
The area of the triangle, Rounded to the nearest hundredth, is approximately 132.02 cm².
The area of a triangle with the given measurements, we can use the formula for the area of a triangle using side lengths and an included angle. The formula is:
Area = (1/2) * a * c * sin(B)
where a and c are the side lengths, B is the included angle between those sides, and sin(B) represents the sine of angle B.
Let's calculate the area using the given measurements:
B = 103° (included angle)
a = 12 cm
c = 22 cm
First, we need to convert the angle from degrees to radians, as the sine function operates on radians. We can use the conversion: radians = degrees * (π/180).
B in radians = 103° * (π/180) ≈ 1.8 radians
Next, we can substitute the values into the formula:
Area = (1/2) * a * c * sin(B)
= (1/2) * 12 cm * 22 cm * sin(1.8 radians)
Using a calculator, we can evaluate sin(1.8 radians) ≈ 0.9833.
Area ≈ (1/2) * 12 cm * 22 cm * 0.9833
≈ 132.02 cm² (rounded to the nearest hundredth)
Therefore, the area of the triangle, rounded to the nearest hundredth, is approximately 132.02 cm².
Among the given options, the closest match is:
b) 132 cm² (rounded to the nearest whole number)
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One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths
The length of the other two sides are 4m and 5m
How to determine the lengthsUsing the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle
This is represented as;
x² = y² + z²
From the information given, we have that;
z = 3m
x = x + 1
y = x
Substitute the values, we get
(x + 1)² = x² + 3²
Find the squares
(x + 1) ² = 9 + x²
expand the bracket
(x + 1) ( x + 1) - x² = 9
x² + x + x + 1 - x² = 9
collect like terms
2x = 8
x = 4
Then,
x + 1 = 5
x = 4
Hence, the values are 4m and 5m
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What are the value too
F(-3)=
F(-1)=
F(3)=
Answer:
f(-3)=-2,5
f(-1)=-1,5
f(3)=¾
Answer:
-5/2
3/2
3/4
Step-by-step explanation:
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.
Answer:
He would need to sell 14 more hotdogs
Step-by-step explanation:
140/56= 175/x
140x= 9,800
x= 70
56-70= 14
In the right triangle ABC shown, c=17ft and angle A=30 degrees Determine side a
Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: \(a = 8.5\sqrt{3}\)
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.From the information given, we can build the following relation:
cos(A) = a/c.
\(\frac{\sqrt{3}}{2} = \frac{a}{17}\)
\(a = \frac{17\sqrt{3}}{2}\)
\(a = 8.5\sqrt{3}\)
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how was y'alls day? :)
answer-good how was yours
Sam and Pam's pennies add up to 22. Same has 1 more penny than twice Pam's pennies. How many pennies do Sam and Pam have?
Answer:
pam has x = 7 pennies
sam has 2x + 1 = 14 + 1 = 15 pennies
Step-by-step explanation:
let's take the number of pennies that pam owns be x
sam's pennies = 2× ( pam's pennies ) + 1
=》2x + 1
if the total pennies owned by both = 22
then,
x + 2x +1 = 22
3x = 22 - 1
x = 21 ÷ 3
x = 7
so, pam has x = 7 pennies
sam has 2x + 1 = 14 + 1 = 15 pennies
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
Que números multiplicados dan 30 y sumados dan 11
Answer:
5, 6
Step-by-step explanation:
Answer:
Los números son:
6 y 5
Step-by-step explanation:
Planteamiento:
a * b = 30
a + b = 11
Desarrollo:
De la segunda ecuación del planteamiento:
a = 11-b
Sustituyendo esta última ecuación en la primer ecuación del planteamiento:
(11-b)*b = 30
11*b + b*-b = 30
11b - b² - 30 = 0
-b² + 11b - 30 = 0
b = {-11±√((11²)-(4*-1*-30))} / (2*-1)
b = {-11±√(121-120)} /-2
b = {-11±√1} / -2
b = {-11±1} / -2
b₁ = {-11-1} / -2 = -12/-2 = 6
b₂ = {-11+1} / -2 = -10/-2 = 5
Comprobación:
6*5 = 30
6+5 = 11
A snail can travel 390 inches in 5 hours. How far does it travel in 10 minutes?
What is the sum of 6 and the square of 12?
Answer:
Step-by-step explanation:
Solve for x. A) 14 B) 20 C) 22 D) 25. What is the sum of 6 and the square of 12? = A building is 3 ft from a 7-ft fence that surrounds the property. A worker wants to wash a window in the building 12 ft from the ground. He plans to …. place a ladder over the fence so it rests against the building. (See the figure.)
What is the sum of squares of 12 and 6 - CoolConversion
Jada is evaluating 8 × 3 × 4. She doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first. Which property is Jada using? associative property distributive property commutative property
Answer:
plz explain correctly please
Answer:
It would be Associative because she is Multiplying in different groups, so for example you said that she didn't know what 24 x 4 was so then she took 3 x 4 so she just regrouped the numbers to get the answer needed.
Part A Choose the equation that matches the graph. An upside down V and an increasing diagonal line. The V has vertex 1 comma 3 and passes through the points zero comma 1 and 2 comma 1. The line and the V intersect each other at the points negative 2 comma negative 3 and 3 comma negative 1. A. −2|+1|+3=25−115 − 2 | x + 1 | + 3 = 2 5 x − 11 5 B. −2|+1|+3=23−113 − 2 | x + 1 | + 3 = 2 3 x − 11 3 C. −2|−1|+3=23−113 − 2 | x − 1 | + 3 = 2 3 x − 11 3 D. −2|−1|+3=25−115 − 2 | x − 1 | + 3 = 2 5 x − 11 5
Answer: b
Step-by-step explanation:
Because the guessing pattern
A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
What is the value of x? Round to the nearest thousandth.
Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.
How to Find the Value of x Using the Tangent Ratio?The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:
tan (∅) = opposite/adjacent
We have the following:
Reference angle (∅) = 53 degrees
Length of opposite side = 21
Length of adjacent side = x
Plug in the values:
tan 53 = 21/x
x * tan 53 = 21
x = 21 / tan 53
x = 15.824
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What is a robot in rob lox called if your right I will brainiest
Answer: MR.ROBOT!!!
Step-by-step explanation:
Answer:
Sir Mcguttin _ᕕ( ᐛ )ᕗ____
Explanation:
845.5