Answer:
Step-by-step explanation:
mean=12.7413
median=6.75
mode=6
range=77
Answer:
mean=12.7413
median=6.75
mode=6
range=77
Step-by-step explanation:
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight.
Answer:
3d-12=b
Step-by-step explanation:
Answer:3d − 12.
Step-by-step explanation:
Dylan’s weight is d.
Three times Dylan’s weight is 3d.
Twelve less than three times Dylan’s weight is 3d − 12.
So, the expression for Bruce’s weight in terms of Dylan’s weight is 3d − 12.
Write the numbers in order from greatest to least.
-4, 2 1⁄5, -2 3⁄4, 1⁄10
Answer:
2 1/5, 1/10, - 2 3/4, -4
Step-by-step explanation:
If you're ever confused about whether a number is greater than another number, think about them on a number line. If the number is further to the left than another number, it is less (for example, 0 is further to the left than 2).
“the jones family spent 12% of their family budget on clothes and 25% on food. what fractional part of the budget did they spend in each category”
Answer:
Tyey spent 3/25 on clothes and 1/4 on food
Step-by-step explanation:
12% is 12/100 which simplifies to 3/25
25% with 25/100 which simplifies to 1/4
Answer:
Clothes: 3/25
Food: 1/4
Step-by-step explanation:
Clothes: 12/100 = 3/25
Food: 25/100 = 1/4
Explain what is important about the sign of the exponent and why it changes the solution.
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 15% vinegar. The chef wants to make 240 milliliters of a dressing that is 8% vinegar. How much of each brand should she use?
You want to setup an equation that will match the word problem. Let's call the amount of the first brand, F and the amount of the second brand, S.
We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
Answer: to make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
To make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand
What is Linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
What is Percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Given,
Quantity of vinegar in first brand = 5%
Quantity of vinegar in second brand = 15%
The chef wants to make 240 milliliter of a dressing that 8% vinegar
Consider,
Quantity of first brand = x
Quantity of second brand = y
Then,
x + y = 240
x=240-y
We want total of 8% of mixture by adding first brand and second brand
0.05x + 0.15y = 0.08×240
Substitute the value of x in this equation
0.05(240-y) + 0.15y =19.2
12 - 0.05y + 0.15y = 19.2
0.1y = 7.2
y = 72
Substitute the value of y in first equation
x + y = 240
x + 72 =240
x = 168
Hence, to make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand
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Bobby purchases a new car for $25,000. The car's value can be modeled by the following exponential function: y = 25000(0.84)^t where y represents the car's value and t represents time in years. How much is her car worth after 3 years rounded to the nearest cent?
Answer:
Step-by-step explanation:
y=25000(0.84)^t
y=25000(0.84)^3
y=$14817.6
30 people visited Paris 13 visited the Eiffel Tower, 16 visited Notre dam and 7 visited neither.
What's the probability that a person chosen at random only visited one of these places
Answer:
total no of people = 30
number of people that visited notre dam = 16
number of people visited eiffel tower = 13
number of people that visited neither = 7
as per the question there the number of people that visited neither = 7/30
number of people that visited only one = ( 13 + 16)/30
= 29/30
this is the answer
plss mark me brainliest
Step-by-step explanation:
NEED HELP ASAP! Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds
Answer:
3min 12sec
Step-by-step explanation:
Turn 2min 6sec into seconds
2m 6sec = 126 secs
divide 525 by 126
525/126 = 4.16666667
divide 800 by 4.16666667
800/4.16666667 = 192
192 to min secs = 3min 12sec
solve for x
i will give brain-liest to whoever answers
Answer:
x = 10
Step-by-step explanation:
x² = 4×25
x² = 100
x = √100
x = 10
AB² = BD×BC
Which equation represents a line that passes through the two points in the table
Answer:
B
Step-by-step explanation:
Slope:
[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2}} =\frac{6-1}{6-3} =\frac{5}{3}[/tex]
This eliminates answer options C and D
If you plug either set of coordinates into equation B then you will know that it works because both sides will end up equal to each other
The line that passes through the given points in the table is represented by the equation y = 3x + 9. You can verify this by plugging the x-values into the equation and arriving at the corresponding y-values or by checking if the points lie on the line in the graph.
Explanation:To answer your question about which equation represents a line that passes through the two points given in the mentioned table, we can use the concept of linear equations and their graph. The equation of a line in slope-intercept form is given by y=mx+b where 'm' is the slope and 'b' is the y-intercept. From the information given, we can see the value of 'm' as 3 and 'b' as 9.
Therefore, the line that passes through the points provided is represented by the equation y = 3x + 9. To verify this, you can plug in the x-values from the table into this equation and you should be able to arrive at the corresponding y-values given in the table.
In the given figure, these points should lie on the line represented by the equation y = 3x + 9, verifying our solution.
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Ms. van Vugt is making brownies. Her recipe calls for 1/2 cup of milk for 12 brownies. She is making 48 brownies. How much milk does she need? (HINT: How many cups are in a pint?) *
Answer: Ms. Van Vugt will need 2 cups of milk or 1 pint of milk to make 48 brownies.
Step-by-step explanation: For this situation, we know for every 12 brownies she will use 1/2 cup of milk. So we can count up for every 12 brownies.
12 brownies = 1/2 cup of milk
24 brownies = 1 cup of milk
36 brownies = 1 1/2 cup of milk
48 brownies = 2 cups of milk
So, Ms. Van Vugt will need 2 cups of milk or 1 pint of milk to make 48 brownies.
A company advertises two car tire models. The number of thousands of miles that the standard model tires last has a mean μ S =60 and standard deviation σ S =5. The number of miles that the extended life tires last has a mean μ E =70 and standard deviation σ E =7. If mileages for both tires follow a normal distribution, what is the probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire?
Answer: .123
Step-by-step explanation: use random variable e-s which will follow a normal distribution with a mean of 70-60=10 and SD= sq root of 25+49. P(e-s<0)=.123
The probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire is 0.123
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have the number of thousands of miles that the standard model tires last has a mean:
[tex]\rm \mu_S = 60[/tex]
And standard deviation:
[tex]\rm \sigma_s = 5[/tex]
The number of miles that the extended life tires last has a mean:
[tex]\rm \mu_E = 70[/tex]
And standard deviation:
[tex]\rm \sigma_E = 7[/tex]
As the mileages for both tires follow a normal distribution curve.
If we use the E-S random variables and these random variables follow the normal distribution.
Now:
[tex]\rm E =\mu_E- \mu_S[/tex]
E = 70 - 60 ⇒ 10 and
[tex]\rm S= \sqrt{\sigma_S ^2+\sigma_E^2}[/tex]
[tex]\rm S= \sqrt{5^2+7^2}[/tex]
S = √74 ⇒ 8.6023
Now from the normal distribution table the value of the probability:
=P(E - S<0)
= 0.123
Thus, the probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire is 0.123
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Solve for x please help
Answer:
x = 9
Step-by-step explanation:
By remote exterior angle theorem:
[tex](12x + 14)\degree = (1 + 5x) \degree+ 76 \degree \\ 12x + 14 = 1 + 5x + 76 \\ 12x - 5x = 77 - 14 \\ 7x = 63 \\x = \frac{63}{7} \\ \huge \red{ \boxed{ x = 9}}[/tex]
Plz Help! ASAP!!!!
Weights of eggs laid by two chickens are recorded for a full year. Both data sets follow a normal distribution.
Chicken A: Standard deviation of A is 4.6 grams; 68% of the eggs fall between 50.9 grams and 60.1 grams.
Chicken B: Standard deviation of B is 4.9 grams; 68% of the eggs fall between 51.9 grams and 61.7 grams.
The difference between the mean weight of Chicken B’s eggs and the mean weight of Chicken A’s eggs to the nearest tenth is...?
The difference between the mean weight of Chicken B's eggs and the mean weight of Chicken A's eggs to the nearest tenth is 1.8 grams.
What is a normal distribution?A normal distribution is a probability distribution that is symmetric around the mean, with most of the data points falling close to the mean and fewer data points falling farther away from it.
The shape of a normal distribution is often referred to as a bell curve because when the distribution is graphed, the resulting curve resembles a bell
We have,
Since both data sets follow a normal distribution, we can use the empirical rule (also known as the 68-95-99.7 rule) to find the mean weight of each chicken's eggs.
For Chicken A, we know that 68% of the eggs fall between 50.9 grams and 60.1 grams. This means that the mean weight of Chicken A's eggs is the average of these two values:
Mean of A = (50.9 + 60.1) / 2 = 55.0 grams
For Chicken B, we know that 68% of the eggs fall between 51.9 grams and 61.7 grams. This means that the mean weight of Chicken B's eggs is the average of these two values:
Mean of B = (51.9 + 61.7) / 2 = 56.8 grams
The difference between the mean weight of Chicken B's eggs and the mean weight of Chicken A's eggs is:
Difference = Mean of B - Mean of A
= 56.8 - 55.0
= 1.8 grams
Therefore,
The difference between the mean weight of Chicken B's eggs and the mean weight of Chicken A's eggs to the nearest tenth is 1.8 grams.
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The mean and the standard deviation of the sampled population are, respectively, 77.4 and 4.0. Find the mean and standard deviation of the sampling distribution of the sample mean x overbar for samples of size n equals 225. Round your answers to one decimal place.
Answer:
See explanation below.
Step-by-step explanation:
We are looking for the mean and the standard deviation of the sampling distribution of the sample of mean x, given that the mean and standard deviation of sampled population are as follows:
Mean=μ= 77.4
Standard deviation = σ = 4.0
Sample size n = 255
so, the mean of sample mean x will be same as mean of the sampled population:
μₓ = μ = 77.4
and the standard deviation of sample mean x will be standard deviation of the sampled population divided by square root of sample size:
σₓ = σ / √ n
= 4.0 / √225
= 4.0 / 15
= 0.3
Cual es la mitad de 22
Answer:
11
Step-by-step explanation:
22/2=11
In one month, Mr. Rich earns $9,278 in regular pay and $2,132 in overtime pay. A total of $673 is
deducted from his paycheck for taxes and a company loan. How much is his take-home pay?
$10,737
$10,747
$11,273
$10,727
Final answer:
To calculate Mr. Rich's take-home pay, add together the regular and overtime pay, then subtract the deductions. The result is a take-home pay of $10,737 that is option A is correct.
Explanation:
The student is asking how to calculate the take-home pay for Mr. Rich after deductions from his income. To find the take-home pay, we first add together Mr. Rich's regular pay and overtime pay to get his total earnings. Then, we subtract the deductions to find the amount he takes home.
Regular pay: $9,278
Overtime pay: $2,132
Total earnings before deductions: $9,278 + $2,132 = $11,410
Deductions (taxes and loan): $673
Take-home pay: $11,410 - $673 = $10,737
I need help with this question please!
Answer:
Can you put a better pic of it I can’t really see what it’s asking
Step-by-step explanation:
I’ll be glady to help
Which equation represents a line with a slope of 3 and y-intercept of -4?
a y = 3x -4
b y =4x −3
c y=−3x +4
d y=−4x + 3
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = 3
b = -4 So substitute/plug it into the equation
y = mx + b
y = 3x + (-4)
y = 3x - 4 Your answer is a
The equation representing a line with a slope of 3 and a y-intercept of -4 is y = 3x - 4. Hence, the correct option is (a).
The student's question pertains to finding the equation of a line with a given slope and y-intercept. In the slope-intercept form of a linear equation, which is y = mx + b, the m represents the slope, and the b represents the y-intercept. Therefore, for a line with a slope of 3 and a y-intercept of -4, the corresponding equation would be y = 3x - 4.
So, the correct answer is:
y = 3x - 4
This is because it directly shows a slope (m) of 3 and a y-intercept (b) of -4, which matches the line properties the question is asking for.
Jim rode at average speed of 12 mph for 2 hours. Then, he
walked at average speed of 3 mph for 0.5 hour. What was the
total distance covered by Jim?
miles
Answer:
25.5 miles
Step-by-step explanation:
The distance is equal to speed multiplied by time. When Jim rode at 12 mph for 2 hours, that means her rode for 24 miles(12*2), then he walked at 3 mph for half an hour, that means he walked for 1.5 miles(3*1/2). Add them both together, you get 25.5 miles.
The total distance covered by Jim is 25.5 miles.
Calculating distancesTo find the total distance covered by Jim, we need to add the distances covered while riding and walking.
Distance covered while riding = Speed * Time = 12 mph * 2 hours = 24 milesDistance covered while walking = Speed * Time = 3 mph * 0.5 hours = 1.5 milesTotal distance covered = 24 miles + 1.5 miles = 25.5 miles
Therefore, the total distance covered by Jim is 25.5 miles.
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Can someone help me???
Answer:
ITS A
Step-by-step explanation:
SLOVE FOR X AND Y GIVEN THAT ABC =DEF
PLEASE HELP!! TON OF POINTS
Answer:
it is (7,-6)
Step-by-step explanation:
SIMPLIFY THIS EXPRESSION: 6p+4p+3
ILL GIVE U BRAINLIEST LIKE ALWAYS
Answer:
[tex]10p+3[/tex]
Step-by-step explanation:
To work this out you would add up all of the like terms
1) Add the like terms.
[tex]6p+4p=10p[/tex]
2)Add the 3
[tex]10p+3[/tex]
Is 27/-62 and -62/-27 parallel , perpendicular or neither ? please help !
Answer:
those fractions are perpendicular
Step-by-step explanation:
-27/62
62/27
Mark filed a claim after his car was rear-ended by another driver. Which
deductible would he have to pay first before he receives a payment from the
insurance company?
Answer: A. He would not have to pay
Step-by-step explanation:
Answer:
He would not have to pay any deductible because he was not at fault.
Step-by-step explanation:
AP3X
What is the value of x if gx-1 -2 =25? x=1/2 x=2 x=5/2 x=4
Answer:
x=5/2
Step-by-step explanation:
The value of x in the equation is 4.
What is meant by exponent ?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Here,
The equation given is,
g⁽ˣ⁻¹⁾- 2 = 25
g⁽ˣ⁻¹⁾ = 27
g⁽ˣ⁻¹⁾ = 3³
Therefore,
x - 1 = 3
x = 4
Hence,
The value of x in the equation is 4.
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Write an inequality for: There are at most 50 people on the bus.
Answer:
>50
Step-by-step explanation:
It says there is at most 50 people so it'd be less than 50
The inequality for "There are at most 50 people on the bus." is b≤ 50.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
As, we know that the sign for atmost ≤.
Now, There are at most 50 people on the bus.
let the number of bus represented by 'b'.
Then, the inequality is
b≤ 50.
Hence, the inequality is b≤ 50.
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You measure my life in hours and I serve you by expiring. I'm quick when I'm thin and slow when I'm fat. The wind is my enemy.
Answer:
A candle! They burn slower when they're bigger and fatter, but when they're thin they burn quicker! A slight breeze of wind can burn it out quickly.
P.S
Have a Amazing Day!
Faker/Tosrel
GIVING OUT 28 POINTS WHOEVER ANSWERS!!! A dot plot titled class size going from 10 to 50 in increments of 10. 10 has 1 dot, 20 has 5 dots, 30 has 7 dots, 40 has 0 dots, and 50 has 1 dot. How can Lakota describe the data on the dot plot? Choose all that apply.
A.)spread
B.)gap
C.)peak
D.)color
E.)size of dots
F.)cluster
Answer:
Spread, Gap, Peak, Cluster
Step-by-step explanation:
If 300 people are surveyed, how many would be expected to prefer vanilla yogurt?
A circle graph titled Favorite Kind of Yogurt. 25 percent is vanilla, 35 percent is swirl, 40 percent is chocolate.
12
25
50
75
Answer:
The answer is 75%
Step-by-step explanation:
Answer:
75 people
Step-by-step explanation: