Answer:
Divide 79 by 8
Step-by-step explanation:
79/8
= 9.875
Bill wants to attend a college with a current tuition of $10,000 a year. He will graduate from high school in five years. Roughly how much will Bill need to save for one-year’s tuition to account for an annual rate of inflation of 3%?
A. $638.30
B. $667.50
C. $656.50
D. $633.30
Answer:
I think the anser is 667.50
Step-by-step explanation:
A pond contains 33 fish. Two are caught, tagged, and released back into the pond. After the tagged fish have had a chance to mingle with the others, eight fish are caught and released, one at a time. Assume that every fish in the pond is equally likely to be caught each time, regardless of which fish have been caught (and released) previously (this is not a realistic assumption for real fish in a real pond). The chance that among the fish caught in the second stage (after the tagging), at least four and at most eight were previously tagged is__________.
Answer:
0.2424
Step-by-step explanation:
Total number of fish = 33
Total number of tagged fish = 2
Each fish has equal probability of being caught (remember that the focus is on the second stage of fish selection) and that probability is 1/33 = 0.0303
- When the question says at least 4 and at most 8 are tagged fish, it means that 4/8 or 1/2 or half of the fish selected were tagged fish. This gives us the figure to use in computation.
- So first of all, the probability that a fish caught is a tagged fish is (1/33) x 2
which is = 0.0303 x 2 = 0.0606
Now if 8 fish were caught and we want to know the probability that at least half of the eight fish (which is 4 fish) were tagged fish, what do we do?
- Multiply the probability of picking a tagged fish by 4; since each fish is replaced before the next selection.
0.0606 x 4 = 0.2424
I need to know the answer ASAP
Answer:
Step-by-step explanation:
what is the least common factor between 9 8 and 7
Answer:
504
Step-by-step explanation:
Using LCM the common multiple is 504 as shown in the image above.
Type the correct answer In each box. Use numerals instead of words. What is the equation of the quadratic function that has a minimum at (7,-3) and goes through (9.9)
Answer:
Step-by-step explanation:
Surface Area of cones
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
9514 1404 393
Answer:
64.1 ft²
Step-by-step explanation:
The area of the cone is given by ...
A = πr(r +h) . . . . for radius r and slant height h
A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²
Simplify the radical expression.
3^√0.125b^3
A. -5b
B. -0.5b
C. 0.5b
D. 5b
I need help completing this problem ASAP
4/(√x - √(x - 2)) × (√x + √(x - 2))/(√x + √(x - 2))
= 4 (√x + √(x - 2)) / ((√x)² - (√(x - 2))²)
= 4 (√x + √(x - 2)) / (x - (x - 2))
= 4 (√x + √(x - 2)) / (x - x + 2)
= 4 (√x + √(x - 2)) / 2
= 2 (√x + √(x - 2))
Write a quadratic equation having the given numbers as solutions. -7 and -5
The quadratic equation is ___ =0.
Answer:
x²+12x+35
Step-by-step explanation:
in factored form it would just be
(x+7)(x+5)=0
expand this
x²+12x+35=0
Please tell me answer of 6 7 and 8
Answer:
6.angle m=180-60=120
7.angle y=180-(60+65)=55
What is the slope of the points (-2,7) and (2,-5)?
4
-3
-12
3
Answer:
-3
Step-by-step explanation:
Slope is equal to (-5-7)/(2-(-2)=-12/4=-3
Which equation represents the data in
the table?
x 0 1 2 3 4
y -4 -2 0 2 4
F y= x -4
G y= 2x -2
H y = 2x - 4
I y= 4x -4
Answer:
y = 2x - 4
Step-by-step explanation:
The equations are put in slope intercept form
Slope intercept form: y = mx + b
Where m = slope and b = y intersect
So in order to find the equation of the data represented by the table we will have to find the slope and y intercept
Let's begin!
First let's find the slope
We can find the slope by using the slope formula
m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table
The points chosen may vary but I have chosen the points (0,-4) and (1,-2)
Now that we have chosen the points we will use to find the slope let's define the variables
remember coordinates are written like this: (x,y)
The x value of the second coordinate is 1 so x2 = 1
The x value of the first coordinate is 0
So x1 = 0
The y value of the second coordinate is -2 so y2 = -2
The y value of the first coordinate is -4
So y1 = -4
Now that we have defined each variable let's plug in the values into the formula
Formula: m = (y2 - y1) / (x2 - x1)
Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4
Substitute values
m = (-2 - (-4) / ( 1 - 0 )
Evaluate
The negative signs cancel out on top and it changes to +4
m = (-2 + 4)/(1-0)
Add top values
m = 2/(1-0)
Subtract bottom numbers
m = 2/1
Simplify fraction
m = 2
So we can conclude that the slope (m) = 2
Now let's find the y intercept or "b"
The y intercept is the value of y when x = 0
If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4
Now that we have found everything let's find the equation of the data represented by the table
The equation is in slope intercept form
y = mx + b
Define variables
m = 2 and b = -4
Substitute values
y = 2x - 4
The equation is y = 2x - 4
Evaluate 2w^2-3w+7 when w=-2
Hey there!
2w^2 - 3w + 7
= 2(-2)^2 - 3(-2) + 7
(-2)^2
= (-2)(-2)
= 4
= 2(4) - 3(-2) + 7
2(4) = 8
3(-2) = -6
= 8 - (-6) + 7
= 8 + 6 + 7
8 + 6 = 14
14 + 7
= 21
Answer: 21
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How many
Assume that the mean hecaht of soldiers is 166cm
with a standard deration of 8. cm.
soldeers in a regiment of 1000 would you expect to
be over 177 cm tall.
Answer:
85
Step-by-step explanation:
Given that :
Mean height , μ = 166
Standard deviation, σ = 8
Sample size, n = 1000
Using the Zscore formula :
Zscore = (x - μ) / σ
x = 177
Z = (177 - 166) / 8
Z = 1.375
P(Z > 1.375) = 0.084566(Area to the right of Z)
P(Z > 1.375) * n
0.084566 * 1000 = 84.566 = 85 soldiers
-12x + 12 = 4 - 15x + 9
Answer:
x = 1/3
Step-by-step explanation:
-12x + 12 = 4 - 15x + 9
Combine like terms
-12x +12 = -15x+13
Add 15x to each side
-12x+12 +15x = -15x+15x+13
3x+12 = 13
Subtract 12 from each side
3x+12-12 = 13-12
3x = 1
Divide by 3
3x/3 = 1/3
x = 1/3
g A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 679 pounds per 1000 miles with a standard deviation of 15 pounds. At α = 0.05, in a left-tailed test (assuming equal variances) the test statistic is: Group of answer choices
Answer:
0.236
Step-by-step explanation:
Given :
x1 = 667 ; n1 = 10 s1 = 20
x2 = 679 ; n2 = 14 s2 = 15
Test statistic :
(x1 - x2) / √[Sp² (1/n1 + 1/n2)]
The pooled Variance, Sp² :
Sp² = [(n1 - 1)s1² + (n2 - 1)s2²] / (n1 + n2 - 2)
Sp² = [(9*20²) + (13*15²)] / (10+14-2)
Sp² = 6525 / 22 = 296.59
T = (667 - 679) / √(296.59*(1/10 + 1/14)
T = -12 / 50.844
T = 0.236
Test statistic = 0.236
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
Answer:
1.) scatter plot is attached below.
There is no sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals.
Step-by-step explanation:
Given the data :
Overhead width : 7.2 7.5 9.7 9.3 8.7 8.2
Weight : 119 156 243 200 199 188
The linear correlation Coefficient, R = 0.946
Using the Pvalue calculator for R score ;
Pvalue = 0.0149
Since, Pvalue > Α ; WE fail to reject the Null and conclude that there is no sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals.
Determine the degree of the term 2^3x2yz4
Answer:
7
Step-by-step explanation:
It looks like the term is [tex]2^3}x^2}yz^4[/tex]
First simplify
[tex]8x^2}yz^4[/tex]
[y has an exponent of 1 btw]
Then to find the degree of a term, just add up the values of all the exponents
2+1+4=7
I hope this helps!
Which type of triangle has altitudes that form outside the triangle itself?
Select one:
a. acute
b. equiangular
c. obtuse
d. right
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Answer:
c. obtuse
Step-by-step explanation:
For an obtuse triangle, the altitudes from the vertices on either side of the obtuse angle will be drawn outside the triangle.
A certain university has 25,000 registered students. To estimate the percentage who are living at home, a simple random sample of 400 students is drawn. It turns out that 317 of them are living at home. Now, 317 out of 400 is (about) 79%. Indicate whether each quantity is actual or estimated from the data. You'll get partial credit for
Answer:
Indication of Actual Quantity and Estimated Quantity
Actual Quantity:
Registered students in the university = 25,000
Sample of students = 400
Students living at home = 317
Estimated Quantity:
317 out of 400 students
79%
Step-by-step explanation:
An actual quantity does not require to be estimated. It is usually given in the question or scenario. For example, the number of registered students in the university is an actual quantity. The percentage of students who live at home from the simple random sample of 400 is an estimated quantity.
si 40/a = 35/7 entonces cual es el valor de a
Respuesta:
a = 8
Explicación paso a paso:
Para obtener el valor de a en la ecuación:
40 / a = 35/7
Cruzamos multiplicamos:
40 / a = 35/7
40 * 7 = 35 * a
280 = 35a
Dividir ambos lados por 35
280/35 = 35a / 35
8 = a
a = 8
find the equation of the line
КУ
11
10
A
9
8
7 구
6
5
4
A А
C
3
B'
2
1
B
C с
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6
A ABC is dilated about the origin./
What scale factor was used to make the image A A'B'C?
Answer:
3
Step-by-step explanation:
The dilation factor is 3
The length of the hypotenuse is??
Answer:
[tex]x = 14.31[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
let the Hypotenuse be x
[tex] {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31[/tex]
Answer: 14.32
Step-by-step explanation:
To find the length of the hypotenuse, we need to use the Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
Since we are given the legs, we can plug them in to find c.
[tex]6^2+13^2=c^2[/tex] [exponent]
[tex]36+169=c^2[/tex] [add]
[tex]205=c^2[/tex] [square root both sides]
[tex]c=\sqrt{205}[/tex]
[tex]c=14.32[/tex]
The hypotenuse is approximately 14.32.
i need help on this PLS
Answer:
25 miles (The pattern is m = 25g where m is miles and g is gallons.)
HELP! PLEASE!!
Simplify the expression.
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Answer:
D
Step-by-step explanation:
Regrouping the factors, we have ...
7 days 8 hours 20 minutes
- 4 days 10 hours 30 minutes
2 days 21 hours
50 minutes
3 days 2 hours
10 minutes
7 days 8 hours
20 minutes
J 11 days 8 hours
50 minutes
K none of these
Answer:
A
Step-by-step explanation:
1 2 3
days hours minutes days hours minutes days hours minutes
7 8 20 6 24+8 20 6 31 60+20
4 10 30
-
_______________
4
days hours minutes
6 31 80
4 10 30
-
____________________
2 21 50
___________________
take away 4/5 from 6 1/2
Answer:
3-4/5=2.2
hope it helps
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]5\frac{7}{10}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\6\frac{1}{2}-\frac{4}{5} \\-------------\\6\frac{1}{2} = \frac{13}{2} \\\\\frac{13}{2} - \frac{4}{5}\\\\LCM(2,5): 10\\\\\frac{13}{2} =\frac{13*5}{2*5} =\frac{65}{10}\\\\\frac{4}{5}=\frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{65}{10}-\frac{8}{10}\\\\ \frac{57}{10}\\\\\frac{57}{10}\rightarrow\boxed{5\frac{7}{10}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
if the Arithmetic means of the 17 numbers is 14. when the two numbers are eliminated the mean becomes 13 if the differences of the two eliminated numbers is 7. find the numbers.
Answer=30,20 but show me in process.
Answer:
The numbers are 18 and 25
Step-by-step explanation:
Given
[tex]\bar x_1 = 14[/tex] [tex]n_1 = 17[/tex]
[tex]\bar x_2 = 13[/tex] [tex]n_2 = 15[/tex]
[tex]a - b = 7[/tex] --- the difference of the 2 numbers
Required
Find a and b
We have:
[tex]\bar x = \frac{\sum x}{n}[/tex] -- mean formula
So, we have:
[tex]\bar x_1 = \frac{\sum x_1}{n_1}[/tex]
[tex]14 = \frac{\sum x_1}{17}[/tex]
Cross multiply
[tex]\sum x_1 = 14 * 17[/tex]
[tex]\sum x_1 = 238[/tex]
When the two numbers are removed, we have:
[tex]\bar x_2 = \frac{\sum x_2}{n_2}[/tex]
[tex]13 = \frac{\sum x_2}{15}[/tex]
Cross multiply
[tex]\sum x_2 = 13 * 15[/tex]
[tex]\sum x_2 = 195[/tex]
The two numbers that were removed are:
[tex]a + b = \sum x_1 - \sum x_2[/tex]
[tex]a + b = 238 - 195[/tex]
[tex]a + b = 43[/tex]
Make a the subject
[tex]a= 43 - b[/tex]
We have:
[tex]a - b = 7[/tex]
Substitute [tex]a= 43 - b[/tex]
[tex]43 - b - b = 7[/tex]
[tex]43 - 2b = 7[/tex]
Collect like terms
[tex]2b = 43 - 7[/tex]
[tex]2b = 36[/tex]
Divide by 2
[tex]b = 18[/tex]
Substitute [tex]b = 18[/tex] in [tex]a= 43 - b[/tex]
[tex]a = 43 - 18[/tex]
[tex]a = 25[/tex]
The area of the rectangle and square are equal find x.
Answer:
10 =x
Step-by-step explanation:
The area of the square is
A = s^2 where s is the side length
A = 6^2 = 36
The area of the rectangle is
A = l*w
A = 3(x+2) = 3x+6
We know the areas are equal
36 = 3x+6
Subtract 6 from each side
36-6 = 3x+6-6
30 = 3x
Divide by 3
30/3 = 3x/3
10 =x
Answer:
10
Step-by-step explanation:
Square area = b × h
SA = 6 × 6 = 36
The square's area equals 36.
Rectangle area = b × h
RA = 3 × (x + 2)
36 = 3(x + 2)
36 = 3x + 6
-6 -6
----------------
30 = 3x
---- ----
3 3
10 = x
The answer is 10.
Hope this helped.
