Answer:
16
Step-by-step explanation:
22 plus 19 plus 7 is 48. 48 divided by 3 is 16.
There are 16 pieces of fruit will be in each basket.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
She has 22 apples 19 bananas and 7 oranges.
And, She puts an equal number of fruit into each of 3 baskets.
Now,
Total number of fruits = 22 + 19 + 7
= 48
And, she puts an equal number of fruit into each of 3 baskets.
Hence, Number of fruits in each basket = 48/3
= 16
Thus, Number of fruits in each basket = 16
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It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Step-by-step explanation:
From the question we are told that
The average time taken is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is [tex]n = 30[/tex]
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The null hypothesis is [tex]H_o: \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5 \ seconds[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]
=> [tex]z = 0.7825[/tex]
From the z table the area under the normal curve to the right corresponding to 0.7825 is
[tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]
So from the question we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
Answer:
Answer D
Step-by-step explanation:
120 + 81+ 39=240 silver bikes
80+54+26= 160 black bikes
Total 200 + 135 + 65= 400
240+ 160=400
Answer:
Answer is C
Step-by-step explanation:
ap3xxx
Given the lines are parallel, find the value of x.
Answer:
x = 7Step-by-step explanation:
52 = 5x + 17
52 - 17 = 5x
x = 35 / 5
x = 7
21. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
O equiangular
O obtuse
O acute
Oright
The solution is Option C.
The triangle with sides 6 , 8 and 9 is an acute triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the sides of the triangle is
The measure of side AB = 6
The measure of side BC = 8
The measure of side AC = 9
Now , for a triangle
a² + b² > c² , the the triangle is an acute triangle
a² + b² = c² , then the triangle is right triangle,
a² + b² < c² , then it is an obtuse triangle
Now , If it is an equilateral triangle , a = b = c
Substituting the values in the equation , we get
AC² < AB² + BC²
9² < 6² + 8²
81 < 36 + 64
81 < 100
Hence , the triangle ABC is an acute triangle
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if you answer this you are a genius.
Answer:
Question 1: 3380g
Question 2: 2g/cm^3
Step-by-step explanation:
I used online mass and density calculators. Hope this helps :)!
what is 3^6 x 3? Plz show how you solved it!
How many solutions are there to: 8x + 7 = 7 + 8x.
Answer: X make the equation true
Step-by-step explanation:
What is the range in interval notation?
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
Which is the smaller number: -5 or -15?
Answer:
-15
Step-by-step explanation:
-15 is smaller because it is a negative number. -5 is closer to 0. -15 is farther away from 0.
The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?
A. $28 dollars
B. $14dollars
C. $11dollars
D. $10 dollars
Answer:
$11
Step-by-step explanation:
0.50 × 6 = 3
3 + 8 = 11
Answer - $11
Hope this helps
Iliana was part of a group that was working on changing 0.ModifyingAbove 4 with bar to a fraction. Each member of the group had a different answer. Which answer is correct?
Two-fifths
StartFraction 4 Over 10 EndFraction
StartFraction 4 Over 9 EndFraction
StartFraction 9 Over 4 EndFraction
Answer: 4/9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edge 2021
I need this answered ASAP !!!! Right answers only
1 Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards?
Answer:
4\3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
because if you caculate right and do the answer correctly it is D. thanks can i get brainlest.
Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determine the maximum number of days, d, that she can eat without adding money to her lunch account?
Answer:
She can eat for around 22 days before her has to add money.
Convert 4/16 to a decimal.
0.1
O
0.25
0.5
0.75
Answer:
0.25
How to Solve:
Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:
16 x 6.25 = 100
Do the same to the numerator:
4 x 6.25 = 25
Now, take 25 and take a decimal point two spaces to the right:
0.25
2x - y = -2,X + y = -1
Answer:
x=-1, y=0
Step-by-step explanation:
Hope this is right!!
A recipe calls for 3 cups of water for every 4 cups of flour.
What is the unit rate of water to flour, written as a decimal?
Evaluate 3x(x-2)/2x-1 when x=0
Answer:
The answer is zero, because the entire equation is being multiplied by zero. The only way that will give you non-zero value is if the denominator in the fraction came to zero as well, but in this case it does not.
Step-by-step explanation:
[tex]3x\frac{x - 2}{2x - 1} \\3(0)\frac{0-2}{2(0) - 1}\\0[/tex]
Which equation shows the best estimate for 4,310 ÷ 72 using compatible numbers?
4,900 ÷ 70 = 70
4,200 ÷ 70 = 60
4,000 ÷ 80 = 50
4,000 ÷ 100 = 40
i think your answer is going to be 4,200/70 = 70
^^
Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding
Answer:
i personally think the 65 in. one
Step-by-step explanation:
4x-2 =3x + 35 solve it
Answer:
x=37
Step-by-step explanation:
4x-2=3x+35 Add 2 to both sides.
+2 +2
4x=3x+37 Subtract 3x on both sides.
-3x -3x
x=37
I hope this helps!! Have a great day ^^
Could someone help me pls with this question it is math !
Answer:
B) 275n + 1000 = 2700
Step-by-step explanation:
n is just a placer holder for how many days the Carter family can vacate.
That being said, the question says that they will spend 275 per day, which is per n. You want to multiply 275 by n.
Then the question says it plans to spend $1000 on meals (that's a lot). Instead of substracting, you are going to add for this equation. You want the equation to match; you want both sides to equal 2700 so you can determine how many days you can spend there.
2+2jjjjjjkkkkkkuyuoo
Answer:
4
Step-by-step explanation:
1+1+1+1=2+2=4
I needed to write this is point slope form which I am having some difficulty understanding. Please tell me if I am correct or incorrect! Thank you
Answer:
It looks like you wrote the equation in point-slope form perfectly!
But for part c, it seems as though x1 and y1 would represent parts of the midpoint formula. So, I would specify and say that they represent the midpoint, not just a point.
Step-by-step explanation:
What is 0.2 , ( - 1.78)?
Answer:
-1.48
Step-by-step explanation:
I do 0.20+0.40=70+8+0.78+1=1.78
you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.
Answer:
a
[tex]\= x = 40.85[/tex]
b
[tex]E = 5.85[/tex]
Ca
[tex]t_c = 2.08 [/tex]
Cb
[tex] t_c = 1.282 [/tex]
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{a + b }{2}[/tex]
=> [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]
=> [tex]\= x = 40.85[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{b- a }{ 2}[/tex]
=> [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]
=> [tex]E = 5.85[/tex]
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
The sample size is n = 22
Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22 - 1[/tex]
=> [tex]df = 21[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of 21 is
[tex]t_c =t_{\frac{\alpha }{2} , 21 } = 2.08 [/tex]
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex] t_c =Z_{\frac{\alpha }{2} } = 1.282 [/tex]
which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it contain?
1) 760 grams
2) 3,610
3) 30,400
4) 190 or 160 grams
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
[tex] 3.938 < \mu < 4.062 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is [tex]\= x = 4[/tex]
The standard deviation is [tex]\sigma = 1.5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{1.5 }{\sqrt{1501} }[/tex]
=> [tex]E = 0.06196 [/tex]
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]4 -0.06196 < \mu < 4 + 0.06196[/tex]
=> [tex] 3.938 < \mu < 4.062 [/tex]
Hence the true average times per week that college students across the nation eat out lies within this interval