Answer: 14 students
Step-by-step explanation:
Data: Out of a group of 63 students,
22 study Biology, 26 Study Chemistry, and 25 study Physics
8 study both Physics and Chemistry, 4 study both Biology and Chemistry, 3 study both Physics and Biology, and 1 student studies all three subjects.
Number of people who only take Biology=x
Step one, Add up all of the people who take Biology with another subject
4+3+1=8
Reason, Since we want to find the number of people who only take biology, we have to find the number of people who take Biology with another subject so we can seperate them later in the problem.
Step two, Subtract the number of people who take Biology with another course with the number of people who take Biology as a whole
22-8=14
Reason: Since we know how many people take biology with another course, we can subtract that from the people who take Biology in general to get the number of people who only take Biology.
That's how we get to our answer of 14 students
I hope this helps!
Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that [tex]A(0) = 109[/tex]
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that [tex]r = 0.03[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 109(1-0.03)^t[/tex]
[tex]A(t) = 109(0.97)^t[/tex]
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
[tex]A(4) = 109(0.97)^4 = 96.49[/tex]
Rounding to the nearest whole number, 96 people.
Approximately how many square inches of space are blank?
Answer:
blank area = 1.5π units²
Step-by-step explanation:
area of full circle = πr² = π6² = 36π units²
blank area = (15/360)(36π) = 1.5π units²
The area blank in a circular mosaic pattern is 4.71 square units.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The diagram shows the circle with a central angle cutout.
The central angle, θ = 15°
Radius of the circle, r = 6 units
The formula of area blank in circle is
[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]
⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex] [∵ π = 3.14 ]
⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]
⇒ [tex]Area_{blank} = 4.71[/tex]
Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.
Learn more about circles here
https://brainly.com/question/10945528
#SPJ2
Solve the equation for x, and enter your answer in the box below.
7x= -70
Which is the simplified form of the expression?
Answer:
[tex]\frac{1}{x^21y^12}[/tex]
Step-by-step explanation:
Find the measure of RPQ
Answer:
Step-by-step explanation:
<SRQ = 270 degrees
<RPQ is just 31 degrees short of that amount.
<RPQ = <SRQ - 31
<RPQ = 270 - 31
<RPQ = 239
Write the quadratic equation that is represented by the graph.
Step-by-step explanation:
Note that this graph has roots at x = 1 and x = 5. Its maximum occurs at (3, 4) and it opens downward. So writing the vertex form of this graph, we get
[tex]y = - (x - 1)(x - 5)[/tex]
Then expanding this, the equation becomes
[tex]y = - {x}^{2} + 6x - 5[/tex]
As a check, note that the y-intercept is at (0, -5) so if we use x = 0 in the equation above, we see that y = -5. Similarly, if we use x = 3, the value of y is y = 4, as expected.
Brandon is building a deck in the shape of a rectangle around a circular pool. The pool is 16 feet across. If the deck is 28 feet by 23 feet, how many square feet of wood is needed to build the deck? Round your answer to the nearest hundredth.
Answer:
Wood needed to build deck = 442.86 feet² (Approx.)
Step-by-step explanation:
Given:
Diameter of pool = 16 feet
Dimensions of rectangular deck = 28 feet by 23 feet
Find:
Wood needed to build deck
Computation:
Radius of pool = Diameter of pool / 2
Radius of pool = 16 / 2 = 8 feet
Wood needed to build deck = Area of rectangle deck - Area of circular pool
Wood needed to build deck = [l x b] - πr²
Wood needed to build deck = [28 x 23] - [22/7][8]²
Wood needed to build deck = 644 - [22/7][64]
Wood needed to build deck = 644 - 201.14
Wood needed to build deck = 442.86 feet² (Approx.)
What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
Answer:
y = (5/4)x+1
Step-by-step explanation:
[tex]\frac{y+4}{x+4} =\frac{-4-6}{-4-4}[/tex]
[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]
What is the the volume of the rectangular prism?
PLEASE HELP FAST! 15 POINTS!!
Answer:
540 in³
Step-by-step explanation:
v = lwh
v = 18 * 10 * 3
c = 540 in³
Answer:
v= length x width x height so 10x18x3= 540in cubed
Step-by-step explanation:
A candidate for political office wants to determine if there is a dif- ference in his popularity between men and women. For this, he collects a sample of 250 men and 250 women and records if they vote for him in the upcoming election. Of those sampled, 105 of the men and 128 of the women plan on voting for the candidate. Based on these data, construct a 95% confidence interval to compare the popularity between men and women. Justify your answer clearly.
Answer:
i think you well read and answer
Step-by-step explanation:
Find the coordinates of the image after a translation of the figure below using (x,y) → (x+3, y + 2).
YA
10
9
8
7
16
5
4
3
B
1
-10-9-8-7 -6 -5 4 3
1
2
3
45
6 7
89
10
3
А
4
D
-5
-8
19
-10
Al
B'(
C'(
Answer:
A(-3,-4)
B(-1,1)
C(3,5)
D(2,-5)
Step-by-step explanation:
if you have any questions about it dont hesitate to ask me
y varies directly with square root of(x+5) ..
. y=4 when x = -1
find y when x=11
Answer:
y varies as √(x+5)
Step-by-step explanation:
y varies as √(x+5)
y= k√(x+5)
k is a constant connecting the two sides.
therefore
k=y/√(x+5)
k=4/√(-1+5)
k= 4/√4
k=4/2
k=2
Y when x=11
y=k√(x+5)
y=2√(11+5)
y=2√16
y=2*4
y=8
I need a answer solved, WITH the explanation done well.
The question is:
What percentage of students chose hockey or softball?
Answer:
16%+26%= 42%
Answer: 32% is the answer
Step-by-step explanation: since the question says What percentage of students chose hockey or softball? add the presentage of hockey and softball and you will get 32% hope it helps
List down three angles formed when a transversal intersects the two lines
Answer:
The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.
Look at the photo for my question
Answer:
The correct answer is option C.
Step-by-step explanation:
To find a substitute for the variable y in the second equation, you need to first find out what y is equivalent to in the first equation: in other words, isolate the variable. [tex]2y-x=6[/tex] ⇒ [tex]2y = x + 6[/tex] ⇒ [tex]y = 0.5x + 3[/tex]. Since y is equivalent to [tex]0.5x+3[/tex] in the first equation, that means you can use that to replace y in the second equation, so the correct choice is C.
all real numbers are complex numbers also. true or false?
Answer:
From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.
michael has 40 coins worth 8.20. consisting of 10 cents and 25 cents . how many of each coins does he have ?
Answer:
2 dollars I guess l d k
Step-by-step explanation:
pay subcription to get good answer k :)
*PLEASE HELP ASAP FOR A TEST*
Mark is going to buy some flowers for his wife for her birthday. At the store, he has his
choice of 7 different types of flowers. He wants to get 4 different flowers for the flower
arrangement. How many flower arrangements could he make?
A. 70
B. 35
C. 84
D. 140
Answer:
B. 35
Step-by-step explanation:
The order in which the flowers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
4 flowers from a set of 7. So
[tex]C_{n,x} = \frac{7!}{4!(7-4)!} = 35[/tex]
The correct answer is given by option B.
What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
9514 1404 393
Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136
If angle BOC in circle is 68° then the measure of angle BAC is 34°.
Given that angle BOC in the circle is 68°.
We have to find the angle BAC.
We have that m∠BOC=arc BC ------by central angle.
we have m∠BOC=68°.
therefore arc BC=68°.
We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1
In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.
We have that arc BC=68°
substitute arc BC in equation 1 to get the measurement of ∠BAC.
m∠BAC=[tex]68/2[/tex]
=34°
Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.
Learn more about angles at https://brainly.com/question/25716982
#SPJ1
NEED HELP ASAP WILL MARK BRAINLIEST
Answer:
C
everything else in the answer choices gave the wrong information
write the equation of the circle in general form. show your work.
SOS
Answer:
The equation of the circle is
[tex](x - h) {}^{2} + (y - k) = {r}^{2} [/tex]
where (h,k) is the center and r is the radius.
The center is (-1,1) so plug that in the equation.
[tex](x - ( - 1)) {}^{2} + (y - 1) {}^{2} = {r}^{2} [/tex]
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {r}^{2} [/tex]
The radius of the circle is 3 so plug that in for r.
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {3}^{2} [/tex]
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = 9[/tex]
I would like help thanks!
Answer:
B
Step-by-step explanation:
if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero
y = mx + b m the slope equals 1
y = x +2
Paul is filling the rectangular prism shown with cubes that measure 14 inch along each edge.
Answer:
Step-by-step explanation:
Please help and I will give brainliest if u do.
Answer:
See explanation below
Step-by-step explanation:
The width is 4 inches
So, the area of the base is 20 inches squared
The height is 4 inches
So, the volume of the prism is 80 inches cubed
Answer:
is this like BxH or is there a specific equation
Step-by-step explanation:
for a sample size of 90 and a sample proportion of 0.5, what is the standard error? round your answer to three decimal places.
A. 0.053
B. 0.039
C. 0.064
D. 0.045
Need help ASAP ELO help help help help help
The ages of workers in a certain industry are approximately normally distributed with a mean of 30 years and a
standard deviation of 3.5 years. A recruiter wondered if that held true for workers in a certain state. The
recruiter took a random sample of n = 3 of these workers from the state, and the mean age of the workers in
the sample was ĉ = 26 years.
To see how likely a sample like theirs was to occur by random chance alone, the recruiter performed a
simulation. They simulated 200 samples of n = 3 ages from a normal population with a mean of 30 years and
standard deviation of 3.5 years. They recorded the mean of the ages in each sample. Here are the sample means
from their 200 samples:
Answer:
C. p-value is 0.07
Step-by-step explanation:
The sample mean was 4 years below the hypothetized mean, and 14 of 200 simulated results were this far or farther above or below the hypothesized mean.
Brainliest, please :)
2x-y=-5 x+y=8 elimination
Please answer thank you !
Answer:
Step-by-step explanation:
The questions are asking you whether the calculation of each needs to be exact or an estimate. An estimate is used when the final value needs to be close to what is needed but is ok if it surpasses the needed value. Exact values are used when the final value needs to be exact and cannot be over or under the needed value or it will cause errors. Therefore, the answers are the following...
1. exact
2. estimate
3. exact
4. estimate
5. exact
6. exact