The probability that a strawberry dessert contains whipped topping is approximately 69.2%
We are given that the probability a dessert contains strawberries (P(S)) is 26%, or 0.26, and the probability that a dessert contains both strawberries and whipped topping (P(S and W)) is 18%, or 0.18.
To find the probability that a randomly chosen strawberry dessert contains whipped topping (P(W|S)), we use the conditional probability formula:
[tex]P(W|S) = \frac{P(S and W)}{P(S)}[/tex]
Substituting the given values, we get:
[tex]P(W|S) = \frac{0.18}{0.26} \approx 0.6923[/tex]
Rounding to the nearest tenth of a percent we get the probability that a randomly chosen strawberry dessert contains whipped topping to be 69.2%.
Need this geometry answer quick!
(I think its answer c but not sure)
The trapezoids are similar. the area of the smaller trapezoid is 131 m2. find the area of the larger trapezoid to the nearest whole number. (1 point)
Four girls and eight boys are running for president or vice president of the student council. find each probability: find the prbability that two girls are elected
The probability that two girls are elected president and vice president from a group of 4 girls and 8 boys is calculated using a hypergeometric distribution, resulting in a probability of 1/11.
The question is asking for the probability that two girls are elected president and vice president of the student council when there are four girls and eight boys running for these positions. This is an example of a hypergeometric distribution problem, as we are selecting without replacement from a finite population divided into two groups.
To find the probability, we need to determine the number of successful outcomes divided by the total number of possible outcomes. The successful outcome is that the two elected individuals are both girls. Since there are 4 girls, there are 4 choose 2 ways to select 2 girls, which equates to 6 possible successful outcomes. The total number of ways to choose 2 individuals from 12 candidates (4 girls + 8 boys) is 12 choose 2, resulting in 66 possible outcomes.
The probability can be calculated by dividing the number of successful outcomes by the total number of possible outcomes.
Probability = Successful outcomes / Total outcomes = 6 / 66 = 1 / 11
Simplify: 8x - 4(2x - 5) - 2
TIMED, need the answer ASAP, will give brainiest
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. A. 44.4 cm, 11.1 cm B. 44.4 cm, 3.2 cm C. 11.1 cm, 4.9 cm D. 24 cm, 4.9 cm
Solve the system of equations using the substitution method.
{2x+8y=4 x=−3y+5
Enter your answers in the boxes.
Can somone help me with this 1 problem? In the figure shown, △RST is an isosceles triangle with RS≅RT. Which is the measure of ∠T?
A.21°
B.40°
C.70°
D.110°
In an isosceles triangle, base angles are congruent, meaning ∠R would equal ∠T. However, no angle measures are provided, making it impossible to determine the measure of ∠T with the given information.
Explanation:The given figure is an isosceles triangle, triangle RST, where RS is congruent to RT. In an isosceles triangle, the base angles are congruent, meaning that they have the same measure. Therefore, if we know the measure of one of the base angles, we know the measure of the other. The problem, however, does not provide the measures for any of the angles. This makes determining the measure of ∠T impossible with the given information. We would need to know either the measure of angle R or S or the measure of the angle at the vertex, angle T, to find the measure of ∠T. Without additional information, we cannot definitively choose between options A, B, C, or D.
Learn more about Isosceles Triangles here:https://brainly.com/question/32587870
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triangle XYZ is obtuse which list could represent the angle measures of triangle XYZ?
A. 20 60 100
B. 30 60 90
C. 50 50 80
D. 60 60 60
12q^2-17q-7
A. (3q+1)(4q-7)
B. (3q-1)(4q+7)
C. (3q+7)(4q-1)
D. (3q-7)(4q+1)
Find the sum of the summation of 2 i minus 12, from i equals 7 to 16.
22
110
220
440
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
[tex]\sum_{7}^{16}(2i-12)\\\\=\sum_{7}^{16}2(i-6)\\\\=2\sum_{7}^{16}(i-6)\\\\=2[(16-6)+(15-6)+(14-6)+(13-6)+(12-6)+(11-6)+(10-6)+(9-6)+(8-6)+(7-6)]\\\\=2[10+9+8+7+6+5+4+3+2+1]\\\\\text{Sum of n natural numbers }\\\\=2(\frac{10\times (10+1)}{2})\\\\\=\frac{n(n+1)}{2}\\\\=2\times \frac{10\times 11}{2}\\\\=10\times 11\\\\=110[/tex]
Hence, the value of summation is 110.
Therefore, Second option is correct.
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3 miles per hour. Which equation models the total distance, D, Sarah travels after hiking for an additional h hours?
A. D = 3h + 5
B. D = 3(h - 5)
C. D = 3h - 5
D. D = 5h + 3
Answer: A. [tex]D=3h+5[/tex]
Step-by-step explanation:
Given: The rate of increasing speed = 3 miles per hour
The distance she traveled before stopping = 5 miles
Let h represents the number of additional hours for hiking.
Then the equation that models the total distance 'D' Sarah travels after hiking for an additional h hours is given by :-
[tex]D=3h+5[/tex]
Can anyone help me with this problem?
Help! Thanks in advance!
Screenshotted question!
A ball is rolling in a circular path that has a radius of 10 inches as shown in
The expression 8x + 2y
PLS HELP ME ASAP WITH 3, 4, AND 5! PLS! (Read directions carefully :)
(BRAINLIEST WILL BE GIVEN HOPEFULLY!)
(Random answers gets moderated!)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
T.A. =
Answer:
Step-by-step explanation:
x2+y2-4+2y-11=0 what are the center and radius of the circle?
A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground. What is the area of the surface of the silo that will be exposed to rain, wind, and sun?
The area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.
Explanation:Solution:
To find the area of the surface of the silo that will be exposed to rain, wind, and sun, we need to find the combined surface area of the hemisphere and the cylinder.
The radius of the circular base of the cylinder is half of its diameter, which is 10/2 = 5 feet.The height of the cylinder is 40 feet.The circumference of both the hemisphere and the cylinder is equal, so the circumference of the circular base of the cylinder is 2πr, where r is the radius of the base.The surface area of the hemisphere is equal to half of the surface area of a sphere with the same radius, which is 2πr²/2 = πr².The surface area of the circular base of the cylinder is πr².The surface area of the curved surface of the cylinder is the circumference of the base multiplied by the height of the cylinder, which is 2πr * 40.Now, let's calculate:
Surface area of the hemisphere = π(5)^2 = 25π square feetSurface area of the circular base of the cylinder = π(5)^2 = 25π square feetSurface area of the curved surface of the cylinder = 2π(5) * 40 = 400π square feetTo find the total surface area, we add up the surface areas of the hemisphere, the circular base, and the curved surface:
Total surface area = Surface area of hemisphere + Surface area of circular base + Surface area of curved surface = 25π + 25π + 400π = 450π square feet.
Therefore, the area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.
Which is the first step in drawing a line graph?
A. Plot a point for each piece of data.
B. Draw x- and y-axes on graph paper.
C. Create a scale that covers the data range.
D. Draw a line of best fit to show a trend.
Answer:
B) Draw x- & y-axes on graph paper.
Step-by-step explanation:
You need a graph before you can create your line.
A house on a floor plan is 10.5 inches long and 6.5 inches wide. If the scale used is 0.5 inch = 2 ft, how long is the actual house?
Andy currently runs a total of 12 miles each week. He plans to increase the number of miles he runs each week by 1.5 miles untill he is running a total of 26 miles each week. How many weeks will it take Andy to reach his goal?
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x^2
You bought 12 one-gallon bottles of apple and orange juice for a school dance. the apple juice was on sale for $1.00 per one-gallon bottle. the orange juice was $1.75 per one-gallon bottle. you spend $15.00. how many bottles of each type of juice did you buy?
Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the length of the chord whose endpoints are the points of tangency.
2r
r²
r√2
Consider this system of linear equations:
22x − y = -23 (equation 1)
11x + 12y = 1 (equation 2)
This is probably easy but I'm not smart and don't know what else to do I know this is the correct formula it's just confusing to me because there're three numbers and I'm just really dumb.
A bakery has 49 donuts and 28 muffins for sale. What is the ratio of muffins to donuts? Please answer ASAP 99 Points :V
The Freshman class has 27 more boys than girls. If there are 283 freshman, how many are girls?