Step-by-step explanation:
13 hours
6 + 4 + 3 = 13
correct if wrong
Kelly has some savings. After mowing lawns Saturday, she added $70 to her savings. How much money has Kelly saved?
Answer:
70
Step-by-step explanation:
saveings +70 the money she added to the money he or she saved
Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the region into plots measuring 1 square meter each, and they selected a random sample of 9 plots. The mean biomass of the 9 plots was 4.3 kilograms per square meter (kg/m2) and the standard deviation was 1.5 kg/m2 . Assuming all conditions for inference are met, which of the following is a 95 percent confidence interval for the population mean biomass, in kg/m2?
A) 4.3±1.96 (underroot 1.5/3).
B) 4.3±1.96 (1.5/3).
C) 4.3 ± 2.306 (underroot 1.5/9).
D) 4.3±2.3064 (1.5/9).
E) 4.3+2.30/15 (1.5/3).
Answer:
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval:
The confidence interval is the sample mean plus/minus the margin of error. So
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]
The correct answer is given by option c.
A triangle has an area of 37.5 inches the height of the triangle is 20 inches what is the length of the base of the triangle?
Answer:
base = 3.75 inches
Step-by-step explanation:
37.5 = 20b/2
37.5 = 10b
b = 3.75
Find the area of the shape
To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Answer:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Step-by-step explanation:
Edge 2021
The type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, the hypotheses laid down are:
Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ : The proportion of metal that is gold is less than 75%.Thus, we get:
Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.
Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.
Therefore, the type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.Learn more about type I and type II errors here:
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Marvin solved the equation 4(x+5)=88 fill in the blanks
Answer:
x=17
Step-by-step explanation:
4(x+5) = 88
4x + 20 = 88
4x = 88-20
4x = 68
x = 68/4
x = 17
Answer:
17
Step-by-step explanation:
4(x+5)=88
4x+20=88
4x=88-20
4x=68
4x÷4=68÷4
x=17
Over 4 days, Krista deposited $45 into
her bank account, transferred $30 to a
friend, deposited $59, and withdrew
$18. What was the mean change per day
to Krista's account during that week?
Answer:
50
Step-by-step explanation:
45 - 30 = 15
15 + 59 = 74
74 - 18 = 56
The mean change per day to Krista's account during the week is $ 14
What is Average?
The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Given data ,
The total sum of money in Krista's account = $45 - $30 + $59 - $18
= $56
Total number of days = 4 days
Now ,
Mean change per day = Sum of money in Krista's account / Total number of days
Mean change per day = 56 / 4
= $ 14
Hence , The mean change per day to Krista's account during the week is $ 14
To learn more about average or mean click :
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#SPJ2
Find the measure of 41.
{
839
41
4 1 = [?]
Enter
<1=97°
Answer:
<1+83=180 co interior angle
<1=180-83=97°
Answer:
solution given:
<1+<83°=180°[co- interior angle]
<1=180°-<83°=97°
<1=97° is your answer
Please help!!!!!!!!!!
Answer:
104 ft^2
Step-by-step explanation:
Before we start, one thing to notice is the 90 degrees symbol at the corners. This lets you know a rectangle has four 90 degrees angle, which will help in the next step.
First, separate the shape to become three rectangles.
After you've done that, start with the first recantgle on the left.
The edges are 8 and 5. To find the area, you must multiple 8 by 5.
8 * 5 =40
The area is 40 for the first rectangle.
Next, we do the second rectangle to the right of the first one.
oThe edges are 6 and 4. We know it is four because the full length on the rectangle on the left is 8 and below the 6 ft is the place that says 4 ft. The 6ft line cuts to rectangle in half so the other edge will be 4 ft. (Hope that made sense )
Now we find the area of the second rectangle by multiplying 6 and 4
6 *4 = 24
Now we conclude with the third rectangle. We know one edge which is 5 and the other edge will be 8 because, at the opposite end, it tells us the length is 8.
Now we multiply 8 and 5.
8 * 5 = 40.
Now, the three numbers we have found are 40, 24, and 40. Our final step is to add up these three numbers from the rectangles we made to find the area.
40 + 24 + 40 = 104
The area will be 104 ft^2
I hope this explanation helped and have a good day!
Janet plants 20 varieties of flowers in the spring . She reports that 90% of the flowers she have planted bloomed
How many varieties have bloomed
Pls answer ASAP
Answer:
18
Step-by-step explanation:
90% of 20 is 18
Answer:
18
Step-by-step explanation:
90%of 20 =18
so the answer is 18
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
Somebody help me ??!!
*this answer i made was incorrect please avoid it*
Answer:
15
Step-by-step explanation:
Pythagoras theorem
a^2+b^2=c^2
12*12=144
9*9=81
144+81=225
sq root of 225 = 15
HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE
Answer: 1:3
Step-by-step explanation:
18 Spanish and 6 French
ratio of French to Spanish is 6:18 reduced to1:3
Let X and Y be the following sets:
X = {}
Y = {2,3, 5, 7, 11, 13}
Which of the following is the set X Y?
Answer: the answer is B
Step-by-step explanation:
What is the horizontal distance from the origin to the point (8, 1)?
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
Austin buys $10 worth of food for his dog each week. There are 52 weeks in a year.
How much is Austin paying for food for his dog in a year?
Which proportion could be used to solve this problem?
Answer:
b i think
Step-by-step explanation:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
[tex]60x=420[/tex]
[tex]x=\dfrac{420}{60}[/tex]
[tex]x=7[/tex]
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
What is the mean?
1 2 1 3 6 3 6 2
The expression (g^2)^4 is equivalent to g^m. What is the value of m?
^ means exponents
Answer:
m = 8
Step-by-step explanation:
4 x 2
you just have to multiply exponents
Solve the system of equations.
8x + 16y = -42
- 2x + 3y = 7
A. (-4,1)
B. (0.5, -2.69)
C. (4.3, 0.5)
D. (-4.25, -0.5)
can someone explain how to do this for me?
Answer:
Weight of circles = 10
Step-by-step explanation:
Say the circle's weight is x
Since there is one triangle and one square on the left, we know that is 16 pounds
Since there are 5 squares on the right, we know that is 36 pounds
Knowing that the circle weight variable is x, we can make an equation
16+3x=36+x
Simply solve for x now
The Federal Reserve System publishes data on family income based on its Survey of Consumer Finances. When the head of the household has a college degree, the mean before-tax family income is $ 85,050. Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed. What is the standard deviation of before-tax family incomes when the head of the household has a college degree
Answer:
The standard deviation is $13,052.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When the head of the household has a college degree, the mean before-tax family income is $ 85,050.
This means that [tex]\mu = 85,050[/tex]
Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed.
They are equally as far from the mean, one above, and one below. This means that when [tex]X = 95100[/tex], Z has a pvalue of 0.5 + (0.56/2) = 0.78. So when X = 95100, Z = 0.77. We use this to find [tex]\sigma[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.77 = \frac{95100 - 85050}{\sigma}[/tex]
[tex]0.77\sigma = 10050[/tex]
[tex]\sigma = \frac{10050}{0.77}[/tex]
[tex]\sigma = 13052[/tex]
The standard deviation is $13,052.
Which number line shows a graph of the inequality x > -25?
Answer:
Step-by-step explanation:
o--------------------------->
[tex]<------------>\\ -25 -24 -23 -22 -21 -20[/tex]
> means an open circle on -25, and a line pointing to the right because it's greater than.
Options C and D number lines show a graph of the inequality x > -25 that lies on the positive side.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We have given a condition we need to find which number line shows a graph of the inequality x > -25.
We can see in the graph that the number line of options 1 and 2 doesn't show the inequality x > -25 because the point lies on the negative side of the number line.
But the number line in the options C and D shows the inequality x > -25.
Learn more about inequality ;
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help me pleeeeeeeeeeeeease
Answer:
1:9
Step-by-step explanation:
9/9 = 1 and 81/9 = 9
Thus, 9:81 ratio simplified is 1:9
Please help fast! Will give brainliest to first correct answer!
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
In an arithmetic sequence, the 30th term is 112, and the 72nd term is 280. What is the 58th term?
Answer: 224
Step-by-step explanation: Subtract the terms and term number to find the common difference, 168/42=4. 112-29×4=-4=first term. 57×4+-4=224!
I just need these 4, they should be super easy!! I really need help
Answer:
1. v = 72
2. b = 8
3. 0 or -2
4. C = -24
Step-by-step explanation:
Hope this helps.. Can I get brainiest
First one to answer this gets BRAINLIEST no cap. (Look at the pic)
Answer:
36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The formula to solve this is a+b)/2*h
4+5=9
9/2=4.5
4.5*8= 36
Plz help quick I will give brainly points
Find the perimeter of the figure. due today
Answer:
24 in
Step-by-step explanation:
5in + 4in + 9in + 5in + (4in - 3in) = 24in
