Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that [tex]P(A \cup B) = 0.95[/tex]
80% passed in mathematics 75% passed in english
This means that [tex]P(A) = 0.8, P(B) = 0.75[/tex]
Proportion who passed in both:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Considering the values we have for this problem
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So
[tex]0.6t = 3000[/tex]
[tex]t = \frac{3000}{0.6}[/tex]
[tex]t = 5000[/tex]
5000 students appeared in the examination.
What value of x is in the solution set of 8x -
- 6 > 12 + 2x?
Answer:
x>2 (x=any number greater than 2)
Step-by-step explanation:
8x-6>12+2x
-2x -2x
6x-6>12
+6 +6
6x>12
/6 /6
x>2
:) ur welcome
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Complete y = Mx + b
Step-by-step explanation:
write the equation in slope intercept form for the line that passes through the point (1,2) and has a slope of -5
Answer:
y = -5 × 1 + 2
Step-by-step explanation:
y = y, m = slope, x = x point given (1), b = y point given, unless a zero (2)Formula - y = mx + bPlug it iny = -5 × 1 + 2
I’m confused:/ can somebody help me??
Answer:
I got ya :D
the answer is
[tex] \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} [/tex]
explanation in the attachment
A sum of J$300 is divided in the ratio 2 : 3. Calculate the amount of the LARGER share.
9514 1404 393
Answer:
J$180
Step-by-step explanation:
The ratio of the larger share to the total is ...
3 : (2 +3) = 3 : 5
Then the larger share is ...
(3/5)(J$300) = J$180
Write an exponential equation using y a(b) that
represents the growth or decay of the situation.
A house was purchased for $160,000. The house has an
annual appreciation rate of 8%. Please write a let statement
and an equation that represents the house's value over time.
Answer:
[tex]y = 160000 * (1.08)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 160000[/tex] --- initial
[tex]r =8\%[/tex] --- rate
Required
The function over time
The function is calculated as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 160000 * (1 + 8\%)^t[/tex]
Express percentage as decimal
[tex]y = 160000 * (1 + 0.08)^t[/tex]
[tex]y = 160000 * (1.08)^t[/tex]
Calculate the remaining values:c d =
Step-by-step explanation:
of what ? there is nothing here to work with.
Answer: C = 12 D = 8
Step-by-step explanation:
At the school carnival, students can buy tickets in packs of 10. Each pack
of 10 tickets can be used for food or games. Use the coordinate grid below to
determine how many packs of tickets a student can purchase for $27.00.
Answer:
6 packs
Step-by-step explanation:
The answer is 6 packs of tickets. The reasoning behind this is that the graph literally states it. If you go to the side of the graph that shows how much money they spend, and look at 27 you can see that they bought 6 packs of tickets for 27 dollars. If you wanna know how to solve it like mathematically you really wouldn't need to but you can see that if you were to buy 2 packs of tickets it would be 9 dollars (according to the graph) which if we divide 9 by 2 you figure out that for one pack of tickets its $4.50. Then you could easily just divide 27 by 4.5 and you would be left with 6, the answer. Again though u really don't need to do that the graph shows it for you so these questions should be pretty easy. Hope this helped! (also sorry I'm not the best at explaining things but I tried, Goodluck!!) :)
Write the equation for the graph of y = | x | translated left 4 units
Answer: y = |x+4|
Explanation:
Imagine that the graph of y = |x| is carved in stone so it cannot move. What we can move though is the xy axis. If we move the xy axis 4 units to the right, then this gives the illusion the V shaped curve is moving 4 units to the left. It goes opposite whatever movement you do to the xy axis.
If we replaced x with x+4, then this moves the xy axis 4 units to the right.
Therefore, going from y = |x| to y = |x+4| will have the V shaped curve moving 4 units to the left.
Find the exact value of tan 60° in simplest form with a rational denominator.
Step-by-step explanation:
We need to find the exact value of tan 60° in simplest form with a rational denominator.
We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]
Here, [tex]\theta=60^{\circ}[/tex]
So,
[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]
Hence, this is the required solution.
Which of the following equations represents a parabola that opens up and has a vertex with a negative x-value? A. y=-2x^2+8 B. y=-x^2-5x-4 C. x^2+10x+24 D. x^2-7x+12
Answer:
C
Step-by-step explanation:
Open up = positive number that multiplies x^2
x - value of the vertex = -b/2a
C -> -10/2 = -5
Researchers recorded that a group of
bacteria grew from 125 to 2,500 in 24 hours. At this
rate of growth, how many bacteria will there be
in 35 hours from the start of the experiment? Round
to the nearest whole number.
Answer:
The number of bacteria grown in 35 hours is 15771
Step-by-step explanation:
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
To calculate number of bacteria grown in 14 hours :
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
To calculate number of bacteria grown in 1 hour :
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
To calculate number of bacteria grown in 32 hours :
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Hope this answer helps you :)
Have a great day
Mark brainliest
61,229 rounding this
9.
Los conjuntos de parejas ordenadas son ejemplos de funciones, excepto:
A) {(1, 1), (2, 1), (3, 1).(4.1).(5, 1))
B) ((0, 1). (1.2). (2,4), (3.9). (4.16))
C) f(-2, 1), (-1,0), (0, 1).(-1,2), (2, 2))
D) ((-2,-3), (-1,-1). (0, 1), (1,3). (2.5))
Una función se define como un conjunto de parejas ordenadas (x, y) donde no se repite el valor de "x" (corresponde al dominio de la función) En el caso específico del ejercicio, la alternativa C no corresponde con una función ya que tienen dos parejas con el mismo valor de "x": {(-2,1), (-1,0), (0,1), (-1,2), (2,2)} Estos pares están en negrita, y el valor repetido subrayado.
Measurement of angle q
Answer:
34º
Step-by-step explanation:
The sum of the angles in a triangle is 180º
m∠Q = 180 - 90 - 56
m∠Q = 34º
What is the image of G for a dilation with center (0, 0) and a scale factor of 1?
(−1, −3)
(1, −3)
(1, 3)
(−1, 3)
Answer:
(1, 3) should be the answer when u check it all out ya!! but try yourself tho
3)
6 cm
5 cm
I
7 cm
5 cm
6 cm
Answer:
29
Step-by-step explanation:
a kids pool had a small opening
Answer:
so water will come through try some flex tape
Answer:
what the other person said
If the news gives a prediction of a 75% chance of rain tomorrow, what is the probability that it will not rain tomorrow?
Plz ASAP with explanation please
Answer:
25%
Step-by-step explanation:
There is always a total of 100% probability, no matter how many options there are. In this case, it either rains or it doesn't. If there is a 75% chance of rain, the chance of no rain must combine with 75% to make 100%. 100% - 75% = 25%.
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponential function approaches y = 3 in quadrant 2 and increases exponentially in quadrant 1.
Answer:
(B) Second Graph
Step-by-step explanation:
Edge 2021
Answer:
C on edge 2022
Step-by-step explanation:
y = 2^x–2 + 3
In the triangle below, what is the length of the side opposite the 30° angle?
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using sin rule
sin 30=opposite /hypotenuse
1/2=opposite/2[tex]\sqrt{3[/tex]
opposite=2[tex]\sqrt{3[/tex] /2
opposite=[tex]\sqrt{3[/tex]
Answer:
√3
Step-by-step explanation:
let length of side opposite 30⁰ be x
sin 30= x/ (2√3)
½=x/(2√3)
cross multiply
2x=2√3
x=√3
length opposite 30⁰= √3
What is an algebraic expression for the quotient of w and 7 ? A. W-7 B. W+7 C.W/7 D.7w
Answer:
the answer for this is C.
Step-by-step explanation:
quotient is the number gotten by dividing a number by another.this is why it is C.
Can someone help me? Step by step, no links. Will give brainliest to the right answer
Answer:
I'm pretty sure it's 3/5
I added the picture of the question.
Answer:
A) 4
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 4
h = 2
Work:
A = 0.5bh
A = 0.5(4)(2)
A = 2(2)
A = 4
Answer:
the answer is 10
Step-by-step explanation:
A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 O c. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
Grandma Gertrude’s Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 30 pieces. They find a sample mean of 4% with a standard deviation of 2%. What is the margin of error at 90% confidence?
a. 1.49%
b. 1.24%
c. 0.62%
d. 0.75%
e. 1.36%
Answer:
c. 0.62%
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 30 - 1 = 29
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6991
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
Sample of 30, standard deviation of 2%.
Then
[tex]M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62[/tex]
0.62%, so option c.
HELP PLEASE: Which is the equation of the graphed line written in
standard form?
O y = x
O x - 2y = 0
O x - y = 0
O ya
Answer:
[tex]x - y = 0[/tex]
Step-by-step explanation:
Required
The graph equation
From the graph, we have:
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (1,1)[/tex]
The slope of the graph is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1-0}{1-0}[/tex]
[tex]m = \frac{1}{1}[/tex]
[tex]m =1[/tex]
So, the graph equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1 * (x - 0) + 0[/tex]
[tex]y = 1 * x[/tex]
[tex]y = x[/tex]
In standard form, we have:
[tex]x - y = 0[/tex]
solve it plssssssssssssss
Answer:
52
length = 12+2=14 feet
P = 2l+2w = (2 x 14) + (2 x 12) = 52
Step-by-step explanation:
Hope that helps! Have a wonderful day :)
David borrowed $30,000 to start a business. Four years later he repaid $1260 in interest. What was the annual rate? Round to two decimal places.
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.2 pounds and a standard deviation of 6.6 pounds. Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 65 people on this diet, what would be the standard deviation of the sampling distribution of sample means
Answer:
The standard deviation of the sampling distribution of sample means would be 0.8186.
Step-by-step explanation:
We are given that
Mean of population=23.2 pounds
Standard deviation of population=6.6 pounds
n=65
We have to find the standard deviation of the sampling distribution of sample means.
We know that standard deviation of the sampling distribution of sample means
=[tex]\frac{\sigma}{\sqrt{n}}[/tex]
Using the formula
The standard deviation of the sampling distribution of sample means
=[tex]\frac{6.6}{\sqrt{65}}[/tex]
[tex]=0.8186[/tex]
Hence, the standard deviation of the sampling distribution of sample means would be 0.8186.
