Answer:
The probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{51}{105}[/tex].
Step-by-step explanation:
There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}[/tex].
There were 104 females and 78 males present at the high school pep rally. Find the ratio of males to the total number of people present in simplified form
In XYZ the measure of Z=90 ZY=7, XZ=24 and YX=25 what ratio represents the cosine of X?
Answer:
24/25
Step-by-step explanation:
on delta math
The ratio of cosine of angle X is 24/25.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right triangle, XYZ with angle Y equals 90° and ZY=7, XZ=24 and YX=25
The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,
Here, Cosine of angle X = XZ/YX
cosX = 24/25
Hence, The ratio of cosine of angle X is 24/25.
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plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
What is the distance between points (8,11) and (8,−2) on a coordinate plane?
Enter your answer in the box.
units.
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
Which postulate or theorem proves that AABC AXYZ?
Answer:
D. ASA
Step-by-step explanation:
In the figures given,
<A and <B in ∆ABC are congruent to corresponding angles <X and <Y in ∆XYZ in ∆XYZ.
Also, an included side AB in ∆ABC is congruent to a corresponding included side XY in ∆XYZ.
According to the ASA triangular theorem, two ∆s are congruent to each other when they have two corresponding angles in each of the triangles that are congruent to each other and an included side that is also congruent to each other.
Therefore, ∆ABC is congruent to ∆XYZ based on the ASA theorem.
Launch Problem
a) There are two stores selling boxes of crackers. Based on the information below, which store should Sylvio
purchase the crackers from? Explain your answer.
Store 1
ion
Numbero Boed Cachers
3
5
6
00
9
B
12
2
bl...
Store 2:
C = 1.5b
c = cost and b = boxes of crackers
...
b) Sylvio also needs to purchase lemons. If Sylvio wants to buy 3 boxes of crackers and 6 lemons and he does
not want to go to both stores, which one should he shop at? Explain your answer.
Store 1:
Number of lemons
3
6
9
12
1
Cost (in dollars)
2
3
4
my best answer is B i hope this helps
-9x - 12 = -3
Step By Step Pls
Answer:
x = -1
Step-by-step explanation:
-3 +12 = 9
-9x = 9
-9(-1)=9
9 - 12 = -3
Find the area of a semi-circle that has a radius of 8 cm.
image
A.
100.48 cm2
B.
200.96 cm2
C.
50.24 cm2
D.
25.12 cm2
Answer:
A
Step-by-step explanation:
trust
Answer:
B.
200.96 cm2
Step-by-step explanation:
A≈201.06cm²
Solution
A=πr2=π·82≈201.06193cm²
Practice:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
180°
a. (-1, 0)
b. (0, 1)
c. (0, -1)
d. (1, 0)
Please select the best answer from the choices provided
Answer:
A. (-1, 0)
Step-by-step explanation:
I calculated it logically
Which values are equivalent to the fraction below? Check all that apply.
38
30 끓
38
O A. 3-2
2
B. (
48
O c.
O D.
1
9
O E. 314
OF. 32
The value are equivalent to the fraction below is 3^2, the correct option is F.
What is a fraction?
A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
3^5/3^8
Now,
A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.
B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.
D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.
F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.
Therefore, by the given fraction the answer will be 3^2.
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PLS HELP I REALLY NEED HELP FAST
Answer:
1st one
Step-by-step explanation:
Degree and Radian Measures
What is the degree equivalent of π/4?
a. 180°
b. 90°
c. 120°
d. 45°
Please select the best answer from the choices provided
Answer:
D. 45°
Step-by-step explanation:
I calculated it logically
1. In reviewing your Summary Account Activity (#1), you notice FEES
CHARGED of $69.45. This fee was assessed on your account for the
following reasons EXCEPT... *
Answer: Annual Fee
Step-by-step explanation:
The options include:
a. Late Payment Fee
b. Balance Transfer Fee
c. Cash Advance Fee
d. Annual Fee
The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.
Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.
Therefore, the correct answer to the question is annual fee.
no links or i will report
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all.
33.6252768.48
Expression Value of the Expression
[
4
×
(
4
+
3
)
]
−
3
[
(
7
−
5
)
÷
1
2
]
×
2
(
5
.
4
+
3
)
×
(
6
−
2
)
[
9
÷
3
+
6
]
×
3
(
4
+
3
.
2
)
×
[
(
9
−
2
)
+
2
.
5
]
Answer:
The answers go in the following order:
25
8
33.6
27
68.4
Can someone plz help it’s my final
Answer:
Option F, y = 2x + 5 would be the right answer
Hope this helps!
Answer:
Option F would be correct.
Hope this helps<3
Have a good day :)
~Amy
Describe how to graph the solution of y ≤ −x2 + 2x.
Answer:
See graph and explanation
Step-by-step explanation:
Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.
What is the surface area?
And an explanation too but if not it’s ok
Answer:
356 cm.
Step-by-step explanation:
Whenever you find the surface area of a rectangular prism, remember this mnemonic:
LISA WILSON LOST HER WITCH HAT TWICE.
(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)
In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).
Now, we can just plug in the numbers.
LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT
[tex]2(8*14+8*3+14*3) = 356.[/tex]
Therefore, the surface area of this rectangular prism is 356 centimeters.
Isabel split 5/8 pounds of candy among 4 people. What is the unit rate in pounds per person?
Answer:
0.15
Step-by-step explanation:
Because 5/8 divided by 4 is 0.15.
4a - 2b = 10
write down the value of 2b-4a
Answer:I think 11 will be the answer
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried a 10 percent interest rate?
Answer:
$919.98
Step-by-step explanation:
To solve using a financial calculator do
N=8
I/Y=10
PMT=85
FV=1000
CMPT PV get 919.98
To do by hand find the present value of the interst payments
85*(1-(1/1.1)^8)
which is 453.4687
Find the present value of the final ballon payment
1000*(1/1.1)^8
which is 466.507
take the sum
466.507+453.4678= 919.98
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Step-by-step explanation:
All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6
in the diagram below of triangle MNP, Q is a midpoint of MN and R is a midpoint of NP . if QR = 11-x, and MP=57-7x, what is the measure of MP?
Answer:
Answer Expert Verified
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Given:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theorem.
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;
Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Step-by-step explanation:
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 25. What is the probability we could select a sample of 80 adults and find the mean of this sample is between 95 and 105
Answer:
The probability is 0.6796
Step-by-step explanation:
Given
Population Mean - 100
Population Standard Deviation - 25
As we know
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
Z value for mean of sample = 95
z1 = -100+95/25 = -5/25 = -0.2
P value for Z = -0.2 is 0.2912
Z2 = 100-105/25 = 0.2
P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706
P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796
The probability is 0.6796
4 quarts= how many gallons
Adam can buy 3 buckets of popcorn and 3 drinks for $25.50. Tanya
can buy 2 buckets of popcorn and 3 drinks for $19.50. How much
is one bucket of popcorn?
$25.50
O $4.75
$6.00
O $3.00
Answer:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.75
This is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
hello if anyone would pls help
Answer:
x = 12
Step-by-step explanation:
It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.
6×9= 72
72-2 = 70
It adds up.
Hope this helps.
What is the length of a 50-inch TV that has a width of 27 inches?
What is the area of this TV?
Starting salaries of 135 college graduates who have taken a statistics course have a mean of $42,650. Suppose the distribution of this population is approximately normal and has a standard deviation of $8,988. Using a 93% confidence level, find both of the following:
(NOTE: Do not use commas nor dollar signs in your answers.)
(a) The margin of error:
(b) The confidence interval for the mean μ:
Answer:
Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].
Step-by-step explanation:
Given :
Sample size [tex]n=135[/tex]
Sample mean [tex]\bar{x}=\$42,650[/tex]
Standard deviation [tex]\sigma =\$8,988[/tex]
Confidence level is [tex]93\%[/tex]
(a)
The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]
[tex]\because \alpha =1-[/tex]confidence level
[tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]
[tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table
Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]
[tex]=1415.62189[/tex]
(b)
The confidence interval for the mean [tex]\mu\\[/tex] :
[tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]
[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]
[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]