Answer:
8
Step-by-step explanation:
1/2 of 48 marbles is 24
1/3 of 24 is 8
hope this helps
Nick and his cousin Katie are picking apples in their grandparents' orchard. Nick has filled 15 baskets with apples and is filling them at a rate of 1 basket per hour. Katie has 10 full baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take?
Answer:
240/4 hours will be 8 baskets
Step-by-step explanation:
1. What is the distance between -12 and 6 on the number
line?
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
For more information, refer the link given below
https://brainly.com/question/20165896?referrer=searchResults
9. Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Hyattsville Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch?*
Answer: Around 1000 students would buy a schoo lunch.
Step-by-step explanation:
We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.
In total we have 20 + 14 = 34 students, this will be our 100%.
The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.
p1 = (14/34)*100% = 41.18%
And the percentage of students that buy lunch at school can be computed in the same way:
p2= (20/34)*100% = 58.82%
Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.
Then the exact number will be:
N = (58.82%/100%)*1700 = 1000
Around 1000 students would buy a schoo lunch.
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees. Which of the following is not one of the angle measures of the triangle?
Answer:
55
Step-by-step explanation:
The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.
As we know,
The sum of the interior angle of the triangle is 180 degrees
2y + 3 + 9y - 7 + 7y + 4 = 180
18y = 180
y = 10
2y + 3 = 2(10) + 3 = 23 degres
9y - 7 = 9(10) - 7 = 83 degrees
7y + 4 = 7(10) + 4 = 74 degrees
Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Learn more about the angle here:
brainly.com/question/7116550
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negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
a) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.
b) Work out the exact value of 0.42 x 0.064
Answer:
A) 0.030
B) 0.026
Step-by-step explanation:
I hope this HELP! :)
6 The temperature at Wonder Lake is 12°F. During a storm, the temperature changes by -26°F. What is the temperature after the storm show your work
Answer:
-14
Step-by-step explanation: 12+(-26)= -14
You add 12 into -26 and get -14. OR you can subtract -26 by 12 and still get the same answer but adding is faster and easier.
ILL GIVE BRAINLIEST IF UPU ANSWER ALL AND GOOD PLS JUST HELP I FOR GOT
Earlier we investigated the relationship between x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016. Given is a scatterplot of the data, along with the regression line y^ = 60.7 + 0.139x . Interpret the slope of the regression line.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Equation of regression line : y^ = 60.7 + 0.139x
x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016.
From the general regression equation:
y = mx + c
Where m = slope of regression line.
The slope (m) of the equation given is 0.139
The slope could be interpreted as ; for every per unit change in y (every win a major league baseball team has in 2016), the payroll in million dollar increases by a product of 0.139
The slope of a regression line is the average rate of change of the line.
The interpretation of the slope is: the rate of wins per payroll is 13.9%
From the question, we have:
[tex]\mathbf{\bar y= 60.7 + 0.139x}[/tex]
The equation of a linear regression is:
[tex]\mathbf{\bar y= c + mx}[/tex]
Where m represents the slope
So, by comparison:
[tex]\mathbf{m = 0.139}[/tex]
[tex]\mathbf{m = 13.9\%}[/tex]
This means that, the rate of wins per payroll is 13.9%
Read more about slopes at:
https://brainly.com/question/4341286
What is the slope of this line?
is y=7x proportional
Answer: Yes. It is inversely proportional.
Step-by-step explanation:
In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 7. Therefore the constant of proportionality is y=7x.
What are the 4 lowest numbers to average 80 percent . (Lowest possible and one of the numbers has to be 60)
Answer:
5,5,10, and 60
Step-by-step explanation:
Find the remaining numbers
80-60= 20
10 + 10 = 20
Break it up to get 4 numbers total
5 + 5 + 10 = 20
20 + 60 = 80
What is the value of 7m – 3n when m = 3 and n = 2?
O 5
O 15
O 24
O 36
Answer:
the answer is 15
Step-by-step explanation:
[tex]7(3) - 3(2) = 15[/tex]
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
If there are 63 peaches in 7 bowls, how many peaches are in one bowl?
Answer:
9
Step-by-step explanation:
63/7 is 9
Answer:
9
Step-by-step explanation:
Divide 63 and 7
63/7=9
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
Consider the line y=9x-4 find the equation of the line that is perpendicular to this line
Answer:
The slope is -1/9
Step-by-step explanation:
There are endless possibilities of equations, but if slope is what you're asking for, the slope of a line perpendicular to another is its opposite reciprocal, which is basically the number that when multiplied to the other slope is equivalent to -1. 9 * (-1/9) is -1, which means that it is the opposite reciprocal.
Answer: The slope is -1/9, there are endless amounts of equations that are perpendicular to the line, but the thing that they all have in common is a slope of -1/9.
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)
A).(-4,10)
B). (-1,5)
C).(2,-3)
D).(4,8)
E).(6,-9)
Answer:
B D
Step-by-step explanation:
If you like skittles then you like candy True or false
Answer:
trueeeeeeeeeeeeeeeee
Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.
Answer:
Step-by-step explanation:
look at the png
round 13.045 to the nearest hundreth
Answer:
13.00
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
3/4(12x−9) +b4 = 5−3(2−3x)
Solve for x:
Take the root of both sides and solve.
All real numbers Interval Notation
(-infinity, infinity)
(Don’t actually write infinity, write the infinity symbol)
120 caleriess in 2 servings 360 caleries in 6 servings
Answer:
60 calories per serving
Step-by-step explanation:
Divide to find the unit rate of calories per serving.
120 / 2 = 60
360 / 60 = 60
Best of Luck!
A triangular playground has angles with measure in the ratio 6:4:5.What is the measure of the smallest angle
Answer:
36 degrees
Step-by-step explanation:
Tanya's parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. How much money does she have after 9 months
Answer:
$567.5
Step-by-step explanation:
7.5 × 9 is 67.5 and Plus $500 would be $567.5
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
I need help whoever answers this question will be the brainliest!!!
Answer:
7
Step-by-step explanation:
