In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.
Answers
Answer:
Step-by-step explanation:
First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.
Total Students = 3 + 12 + 2 + 7 = 24 students
Probabilities:
does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5% (multiply decimal by 100 to get percentage.
Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%
Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%
Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%
Related Questions
URGENT PLS HELP!!!
divide 2475ml in the ratio 3:8
Answers
Answer:
765 ml & 1800 ml
Step-by-step explanation:
[tex]3x + 8x = 2475\\\\11x = 2475\\\\x=225\\\\3(225)=765\\8(225)=1800[/tex]
PLEASE help!! I will give BRAINLIST :)
Answers
Answer:
[tex]1 + cot^2 \theta[/tex]
Step-by-step explanation:
Given the expression;
[tex]\frac{tan^2\theta+1}{tan^2 \theta}[/tex]
Separating into partial fraction;
[tex]\frac{tan^2 \theta}{tan^2 \theta} + \frac{1}{tan^2 \theta}\\= 1 + \frac{1}{tan^2 \theta}\\\\[/tex]
Since [tex]\frac{1}{tan \theta} = cot \theta\\[/tex]
Hence the expression becomes;
[tex]1 + cot^2 \theta[/tex]
A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?
Answers
Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.
Answers
Answer:
48
Step-by-step explanation:
3 ⋅ 2^t
3 * 2^4
3*16
48
Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21 a. 15 minus 3 n = 21. n = negative 2. b. 3 n minus 15 = 21. n = negative 2. c. 3 n minus 15 = 21. n = 12. d. 15 minus 3 n = 21. n = 2. Please select the best answer from the choices provided A B C D
Answers
Answer:
n=-2,A
Step-by-step explanation:
15-3n=21
-3n=21-15
-3n=6
n=6/-3
=-2
ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
everything can be found in the picture
can someone please answer
Answers
Answer:
x =62
Step-by-step explanation:
The two angles form a straight line so they add to 180
x+118 = 180
Subtract 118 from each side
x = 180-118
x =62
Answer:
x = 62°
Step-by-step explanation:
These both angles are located at straight line.
So, the sum of both angles is 180 °.
x + 118 ° = 180 °
Subtract 118 ° from 180 °
x = 180 ° - 118 °
x = 62 °
Gerry is painting a fence. He painted
of the fence in the morning and of
the fence in the afternoon. How much
of the fence has he painted in all?
Give your answer in simplest form.
of the fence
Enter Plz help
Answers
10/d(d-2) + 4/d = 5/d-2
Answers
Answer:
impossible
Step-by-step explanation:
a denominator can’t be equal to 0. So:
d ≠ 0 ; d ≠ 2
(10 + 4d - 8)/d(d-2) = 5d/ d(d-2)
4d + 2 = 5d
d = 2
But we have said that d can’t be equal to 2, so the equation is impossible.
can anyone answer this ?
plz show your working as well
1) (3x2– 4x – 1) + (8x2– x + 6)
2) (6x2– x – 4) + (2x2+ 5x – 5)
3) (4x2 +2x – 5) + (6x2– x – 5)
Answers
1.
[tex](3 {x}^{2} - 4x - 1) + (8 {x}^{2} - x + 6) \\ \\ combining \: the \: like \: terms,\:we\:have\\ \\ = 3 {x}^{2} + 8 {x}^{2} - 4x - x - 1 + 6 \\ \\ = 11 {x}^{2} - 5x + 5[/tex]
2.
[tex](6 {x}^{2} - x - 4) + ( 2{x}^{2} + 5x - 5) \\ \\combining \: the \: like \: terms, \: we \: have \\ \\= 6 {x}^{2} + 2 {x}^{2} - x + 5x - 4 - 5 \\ \\= 8 {x}^{2} + 4x - 9[/tex]
3.
[tex](4 {x}^{2} + 2x - 5) + (6 {x}^{2} - x - 5) \\ \\ combining \: th e\:l ike \: terms, \: we \: have \\ \\= 4 {x}^{2} + 6 {x}^{2} + 2x - x - 5 - 5 \\ \\= 10 {x}^{2} +x - 10[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
SUPER URGENT: What is the range of y = sinx in the interval - π ≤ x ≤ 0?
-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1
Answers
Answer:
-1 ≤ y ≤ 0
Step-by-step explanation:
here, we simply want to know the range of values for sin x over the given interval
The range of values for sin x are simply the values in which y will take over the given interval of x
let’s start with the value sine (-pi)
We have this as;
0
And the value of sin (0) = 0
Recall, between -pi and 0, we have (-pi/2)
so sin (-pi/2) = -1
Thus, we have the correct range of values as;
-1 ≤ y ≤ 0
A company paid a ₦25200 electricity bill to NEPA. The bill included VAT at 5%. Calculate the amount of VAT paid
Answers
Answer:
1260
Step-by-step explanation:
5÷100=0.05
0.05×25200=1260
In circle F with mEHG = 42, find the mEFG.
Answers
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
------------------------
hope it helps...
have a nice day!!
Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?
Answers
Answer:
The average rate of change of the function over the interval is 5.
Step-by-step explanation:
Average rate of change of a function:
The average rate of change of a function f(x) over an interval [a,b] is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
Interval -3 less-than-or-equal-to x less-than-or-equal-to 3
This means that [tex]a = -3, b = 3[/tex]
[tex]f(x) = x^2 + 3x + 6[/tex]
So
[tex]f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24[/tex]
[tex]f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6[/tex]
Average rate of change
[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5[/tex]
The average rate of change of the function over the interval is 5.
h(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))
Answers
[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]
what are the x intercepts if y=5x^2-15x
Answers
Answer:
The x Intercepts of y=5x^2-15x is (1, 0) and (-1, 0)
Step-by-step explanation:
Answer:
(0,0) and (3,0)
Step-by-step explanation:
5x²-15x = 0
5x(x-3) = 0
5x=0; x=0
x-3=0; x=3
write the following ratios in simplest form.
35:100
Answers
Answer:
7:20
Step-by-step explanation:
divide both by 5 to simplify
What are the scores of the students which are less than equal to 25% of the data?
Answers
Answer:
24/100
Step-by-step explanation:
solve for x
4^5x=(1/32)^1-x
Answers
x = -1
Step-by-step explanation:
[tex] {4}^{5x} = {2}^{2(5x)} = {2}^{10x} [/tex]
[tex] {( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)} [/tex]
or
[tex] {2}^{10x} = {2}^{(5x - 5)} [/tex]
Since both sides have the same base, we can write
10x = 5x - 5
or
5x = -5
x = -1
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answers
Answer:
$28.00
Step-by-step explanation:
1. The markup is 40% of the $20 cost, so the markup is:
(0.40)(20) = 8
2. Then the selling price, being the cost plus markup, is:
20 + 8 = 28
3. The CD set sold for $28.00
Step-by-step explanation:
sp=(100+p)% of cp
=100+40/100*20
=140/100*20
=28
help me please this is due at 10
Answers
Answer:
3,375mm^3
Step-by-step explanation:
To find the volume, you do the length times the width times the height. Since this is a cube, the length, width, and height are all 15 mm. Multiply 15 times 15 times 15 to get 3375. The answer is 3375 cubic inches or 3375mm^3
A number increace by a 5 is 12
Answers
Answer:
[tex]n + 5 = 12[/tex]
Step-by-step explanation:
"A number increased by a 5 is 12".
The value of n.
[tex]n + 5 = 12[/tex]
[tex]n = 12-5[/tex]
[tex]n = 7[/tex]
Hope it is helpful....Answer:
7
Step-by-step explanation:
subtract the sum, in this case 12. by 5 to get the answer. 12-5=7
The quantity y varies as the cube of (x+2) y=32 when x=0. Find y when x=1
Answers
Answer:
[tex]y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108[/tex]
Jamil’s car uses 4 and 2/3
gallons of gasoline to travel 49 miles. At this rate how far can Jamil’s car travel per gallon of gasoline?
Answers
Answer:
10.5 miles
Step-by-step explanation:
[tex]\frac{4\frac{2}{3} }{49} :\frac{1}{y}[/tex]
4 2/3 × y = 1 × 49
[tex]4\frac{2}{3}y=49[/tex]
[tex]4\frac{2}{3}y/4\frac{2}{3} =49/4\frac{2}{3}[/tex]
[tex]y = 10\frac{1}{2}[/tex]
I'LL MARK BRAINLIEST !!!!
Select the two correct solutions of the inequality x + 8 > 14.
a. 2
b. 4
c. 6
d. 8
e. 10
PLEASE ANSWER QUICKLY !!
Answers
Answer:
d and e
Step-by-step explanation:
for a
substitute 2 for x
2 + 8 > 14
2 + 8 = 10
10 > 14
10 is not greater than 14 therefore 2 is not a solution to the inequality
for b
substitute 4 for x
4 + 8 > 14
4 + 8 = 12
12 > 14
12 is not greater than 14 therefore 4 is not a solution to the inequality
for c
substitute 6 for x
6 + 8 > 14
6 + 8 = 14
14 > 14
14 is not greater than 14 therefore 6 is not a solution to the inequality
for d
substitute 8 for x
8 + 8 > 14
8 + 8 = 16
16 > 14
16 is greater than 14 therefore 8 is a solution to the inequality
for e
substitute 10 for x
10 + 8 > 14
10 + 8 = 18
18 > 14
18 is greater than 14 therefore 10 is a solution to the inequality
we can conclude that the answers are d and e
what are ascending number's
Answers
Answer:
Ascending order
Step-by-step explanation:
Ascending numbers are numbers that begin from smallest to biggest.
PLEASE I NEED HELP kitty’s
• graph and multiple choice
Plz I need it right to pass
(Easy point)10
Answers
The question mentions that at month 1, there are 8 milligrams of a radioactive substance. So on the graph the first point – month 1 would be at 8.
It halves each month, so the point for month 2 would be at 4, and so on.
Hope it helps :]
what is z
10.42= −2.6z+0.8
Answers
Answer:
-3.7 =z
Step-by-step explanation:
10.42= −2.6z+0.8
Subtract .8 from each side
10.42-.8= −2.6z+0.8-.8
9.62= −2.6z
Divide each side by -2.6
9.62 / -2.6 = -2.6z/-2.6
-3.7 =z
[tex]\sf\purple{The\:value\:of\:z\:is\:-3.7.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]10.42 = - 2.6 \: z + 0.8 \\ \\✒ \: 2.6 \: z = 0.8 - 10.42\\ \\ ✒ \: 2.6 \: z = - 9.62 \\\\ ✒ \: z \: = \frac{ - 9.62}{2.6} [/tex]
To remove the decimals, we multiply both numerator and denominator by 100.
[tex]✒ \: z \: = \frac{ - 962}{260} \\ \\ ✒ \: z = - 3.7[/tex]
To verify:-[tex]10.42 = - 2.6 \times ( - 3.7) + 0.8 \\ \\✒ \: 10.42 = 9.62 + 0.8 \\ \\✒ \: 10.42 = 10.42 \\\\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
what is the domain of the function g(x)
pls help what are the answers a through f
Answers
Answer:
Domain : (-∞, ∞)
Step-by-step explanation:
Domain of a function is a set of x-values of the function.
Therefore, all x-values at which the given function is defined will be the domain of the function.
From the graph attached,
Given function is defined for all x-values.
Domain : Set of all real numbers.
Or Domain : (-∞, ∞)
Simplify:9-1÷2÷27^2÷3
Answers
First let's calculate the exponents.
[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]
Now we should multiply and divide.
[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]
Now we should add and subtract.
[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]
Convert the improper fractions into mixed numbers.
[tex]8\frac{4373}{4374}[/tex]
Answer :
[tex]8\frac{4373}{4374}[/tex]