Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5
Imma need a really quick answer im on a real tight clock
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
Suppose that Juan can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.
Because the bus is cheaper, he uses the bus 83 percent of the time.
What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?
Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
Which describes how to move from (2, 3) to (6,4) on a coordinate grid?
Step-by-step explanation:
x = +4
y = +1
it uses a rigid transition formation
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2
Answer:
H is the height
Step-by-step explanation:
A= Area
B= Base
1/2= 0.5
Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.
The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.
a. To determine the distance of sailboat A from the stating point.
Applying the cosine rule to the path traveled by sailboat A, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)
= 25 + 64 -80 * -0.8746
[tex]c^{2}[/tex] = 89 + 70
[tex]c^{2}[/tex] = 159
c = [tex]\sqrt{159}[/tex]
= 12.6095
Thus, the distance of sailboat A from starting point is 12.61 miles.
b. To determine the distance of sailboat B from the stating point.
Applying the cosine rule to the path traveled by sailboat B, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)
= 64 + 25 -80 * -0.6293
[tex]c^{2}[/tex] = 89 + 50.344
= 139.344
c = [tex]\sqrt{139.344}[/tex]
= 11.8044
c = 11.80 miles
Thus, the distance of sailboat B from starting point is 11.80 miles.
Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.
A sketch is attached to this answer for better reasoning.
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a farmer takes 1 week to fill 6 bins of squash. At this rate,how long will it take to fill 360 bins
Answer:
60 weeks
Step-by-step explanation:
Setup a proportion.
[tex] \frac{weeks}{bins} \frac{1}{6} = \frac{w}{360} [/tex]
cross multiple
[tex]6w = 360[/tex]
now divide by 6
[tex] \frac{6w}{6} = \frac{360}{6} [/tex]
[tex]w = 60[/tex]
Answer/Step-by-step explanation:
Important Information:
1 Week to fill 6 Bins
Question to answer:
How Long will it takes to fill 360 Bins
Solution/Explanation:
360 Divided by 6 =
60 Week
at a baseball game, henry bought 5 hotdogs and 3 bags of chips for $14.82. scott bought 7 hotdogs and 6 bags of chips for $22.89.
What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
question number fifteen
Answer:
d. EDC
Step-by-step explanation:
if you mirror the triangle ABC, it fits perfectly with triangle EDC
Someone plz help me :(
Answer:
The answer is a
Step-by-step explanation:
Like and give 5 star rating
Answer:
8/3 miles over 8miles
8 mi/3 hrs = 8/3 mi/hr = 2.66666.
What the least common denominator for 11/12 5/6 and 1/5
Answer:
60
Step-by-step explanation:
Answer:
[tex]LCD[/tex] [tex]is[/tex] [tex]60[/tex]
Step-by-step explanation:
We look for the [tex]LCM[/tex] between these 3 number
[tex]12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60[/tex]
Our [tex]LCM[/tex] is 60
that means our [tex]LCD[/tex] is [tex]60[/tex]
Brainliest please
Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17
Answer:
There are none.
Step-by-step explanation:
No calculus involved:
The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)
Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.
At no point the tangent will be decreasing.
Let's use calculus
We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.
Help very quick ! thank youuuuuuuuuuuuuu
She spent 2 hours and 45 minutes.
This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5
plz help ty<3
6cd^2+ 5cd + 3c^2 d^3
I think its 52 I'm not sure please dont get angry If I got it wrong
It takes Billy 40 minutes to drive to his friend's house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friend's house. How far does his friend live?
Answer:
20 miles
Step-by-step explanation:
38
21
21
X
What is the value of X
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied.
Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
Two groups of 22 patients, hence, the standard errors are:
[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]
[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]
The distribution of the differences is has:
[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{25 - 0}{11.14}[/tex]
[tex]t = 2.2438[/tex]
The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.
Using a t-distribution calculator, this p-value is of 0.0302.Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
A similar problem is given at https://brainly.com/question/25600813
I’m a poll, 100 people were asked to indicate if they prefer to drive a truck or car and their gender. Based on the table, which of the following statements is NOT true?
Answer:
B) men are less likely to prefer driving trucks than women
Step-by-step explanation:
Which inequality is represented by the graph?
Answer:
y < -3/2x + 1
Step-by-step explanation:
Points (-2,4) and (2, -2) are on the graph.
The graph crosses the y-axis at 1 so the y-intercept is 1
Slope = (change in the y-value)/(change in the x-value.
Slope = (-2 - 4)/ [2 - (- 2)]
Slope = -6/4
Slope = -3/2
The equation of the line : y = -3/2x + 1
Now the graph is dotted and it is shaded down.
Therefore the inequality is y < -3/2x + 1
If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?
Can you help me on this ?
Answer:
what one?
Step-by-step explanation:
plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,
Answer:
going up by 2 numbers
Step-by-step explanation:
Gabi owns one parcel measuring one square mile and another parcel measuring one mile x half a mile. She combined the parcels and sold them for $2.5 million. What price per acre did she receive for the land
We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8
First, we need to find the total area of the land.
There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:
A' = (1 mi)*(0.5 mi) = 0.5 mi^2
The total area is the sum of these two, we get:
1 mi^2 + 0.5 mi^2 = 1.5 mi^2
And notice that we want to get the price per acre, knowing that:
1 mi^2 = 640 acres, then:
1.5 mi^2 = 1.5*(640 acres) = 900 acres.
The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:
P = ($2,500,000)/(900 acres) = $2,777.8
So each acre costs $2,777.8
If you want to learn more, you can read:
https://brainly.com/question/13738061
Geometry- Copy and complete the statement.
Answer:
X+y over y
Step-by-step explanation:
X+y over y
Hope it helps
7. Find the rate of change from the table.
0
2
4
13
6
-10
20
50
80
Answer:
multiplying 2 then dividing
Step-by-step explanation:
can you please help me
Answer:
i think it's the 6th option
Step-by-step explanation:
Graph the line with slope 3/4 passing through the point (1,5). 20 points!
Answer:
y = (3/4)x + 17/4
Step-by-step explanation:
since we know the slope is 3/4, we have y = 3/4x + b. next plug in the point given. 5= 3/4(1) + b, simplify the equation to get 17/4=b, and now we have our equation: y = 3/4x + 17/4