Answer:
Probability that she buys fruit or buys a CD or both. = 0.52
Step-by-step explanation:
Probability that she buys fruit = 0.4
Probability that she Does not buys fruit = 1 - 0.4 = 0.6
Probability that she buys CD = 0.2
Probability that she does not buys CD = 1 - 0.2 = 0.8
Probability that she buys fruit or buys a CD or both. = 1 - Probability that she does not but either
= 1 - (0.6)(0.8)
= 1 - 0.48
= 0.52
Or Probability that she buys both = (0.4)(0.2) = 0.08
Probability that she buys fruit or buys a CD or both. = 0.4 + 0.2 - 0.08
= 0.52
Probability that she buys fruit or buys a CD or both. = 0.52
5 pts
Question 6
Write the first five terms of the geometric sequence where Q1
Sand r = 3
O {8, 24, 72, 216, 648}
O {8, , , ,
O {3, 24, 192, 1536, 9216}
O {8, 11, 14, 17, 20}
5 pt
Question 7
Answer:
{8, 24, 72, 216, 648}
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.
In this question:
First element is 8, common ratio of 3. So
Second term: 8*3 = 24
Third term: 24*3 = 72
Fourth term: 72*3 = 216
Fifth term: 216*3 = 648
So the answer is {8, 24, 72, 216, 648}
A culture started with 5,000 bacteria. After 4
hours, it grew to 5,500 bacteria. Predict how
many bacteria will be present after 13 hours.
Round your answer to the nearest whole
number.
P = Aekt
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47
Step-by-step explanation:
Which inequality is graphed below?
3x + 2y < –6
3x + 2y > –6
3x – 2y > 6
3x – 2y < 6
Answer:
3x-2y > 6
Step-by-step explanation:
3x-2y > 6
see attached figure.
When rolling a standard 6-sided die, what is the probability of rolling an odd number and then rolling a number greater than 1?
Answer:
You multiply the probabilities together. The probability of rolling an odd number is 1/2 (because half of the numbers on a number cube are odd). The probability of rolling a number greater than 1 is 5/6 because 5 of the 6 numbers are greater than 1. Then multiply those two fractions together to get your answer.
Step-by-step explanation:
When a particular type of thumbtack is dropped, it will land point up (A flat-top thumbtack resting on its flat top) or point down (A flat-top thumbtack resting on the edge of its flat top and the tip of its needle). This experiment was repeated times with the following results: point up: 48 times; point down: 52 times.
a. What is the experimental probability that a particular type of thumbtack will land point up?
b. What is the experimental probability that a particular type of thumbtack will land point down?
c. If the experiment was tried another 100 times would the same results occur? Why?
d. Is it expected that nearly the same results occur on a second trial? Why?
Answer:
0.48
0.52
No
Yes
Step-by-step explanation:
Result of experiment :
Point up = 48
Point down = 52
Total number of trials = 100
Recall :
Experimental probability = number of outcomes / number of trials
1.)
P(Landing point up) = 48 / 100 = 0.48
2.)
P(Landing point down) = 52 / 100 = 0.52
3.)
The same result will not occur has the outcomes of trials aren't fixed.
4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.
What is the square root of -1?
(06.01)
The tables below show four sets of data:
Set B
Set A
x[1 2131415161718
19
y3 45161718 91011
X 1 |2|3|4|5161
y 10
817161514317
Setc
Set D
1234 5 6 7 189
718165143.532.522
< 1 2 3 415
12.52.53456789
For which set of data will the scatter plot represent a negative linear association between x and y? (4 points)
Set A
a
Ob
Set B
Set
od
Set D
Answer:
Set A
Step-by-step explanation:
A negative linear association will always have a negative slope , a negative association can also be be detected from the data given, as the y value will decrease as the x values increases or vice versa.
The plot of the set A is attached Below with a correlation of - 1, meaning a strong negative relationship exists between the x and y variables.
Find three consecutive integers such that the sum of the first two is three times the third.
Answer:
-3, -4, -5
Step-by-step explanation:
x = 1st integer
x+1 = 2nd integer
x+2 = 3rd integer
x+x+1 = 3(x+2)
2x + 1 = 3x + 6
1 = x + 6
-5 = x
-4 = x+1
-3 = x+2
The value of x in the solution to the system
2x - 3y = -2
3x – 2y = 12
Answer:
(8,6)
Step-by-step explanation:
See image below:)
FYI you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free:)
X Cube - 5x Square - 2 x + 24
Answer:
(x+2)(x-4)(x-3)
(x²-4x+2x-2)(x-3)
(x²-2x-2)(x-3)
=x³-5x²-2x+24
So the answer true
Unios a mi classroom , code: m4ami5i
Answer:
OK but first follow me .plz........
Which sequence can be defined by the recursive formula f(1) = 4, f (n + 1) = f(n) - 1.25 for n 2 1?
O 1,-0.25,-1.5, -2.75, -4,...
O 1, 2.25, 3.5, 4.75, 6, ...
O 4,2.75, 1.5, 0.25,-1, ...
O 4,5.25, 6.5, 7.75, 8, ...
Answer:
the third option
4, 2.75, 1.5, 0.25, -1, -2.25, ...
Step-by-step explanation:
the first value in the sequence is 4.
that eliminates already answer options 1 and 2.
and the values are going down, as we continuously subtract 1.25 from the previous sequence number.
but answer option 4 shows a sequence, where the values go up.
so, only option 3 remains and is correct
4-1.25 = 2.75
2.75-1.25 = 1.5
1.5-1.25 = 0.25
0.25-1.25 = -1
...
If g(x)=4x^2-16 were shifted 5 units to the right and 2 down hat would the new equation be
Answer:
This is the answer
Step-by-step explanation:
This is the solution, hope it helps
If f(x)=4x and g (x)= 3x^3-6x^2+9x-3 then what is f(f(-3))?
Answer:
https://www.wyzant.com/resources/answers/64459/if_f_x_3x2_4x_and_g_x_3x_2_then_which_of_the_following_is_equal_to_f_x_183_g_x#answer-79706
Step-by-step explanation:the link tells you heheh
G P
2 3
S I
2 8
Q E
2 ??
Answer:
yea i dont know this one bro gp 23 si 28
Step-by-step explanation:
Over a season in a women's basketball league Jackson scored 41 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1205 points during the season. How many points did each player score over the course of the season?
Answer:
Here are the aswers
Step-by-step explanation:
jackson=618
leslie=587
I hope this helps?!?
9) Solve the system of equations by substitution
y = 3x + 2
y = -2x + 12
Answer:
x= 2, y= 8
Step-by-step explanation:
y= 3x +2 -----(1)
y= -2x +12 -----(2)
Substitute (1) into (2):
3x +2= -2x +12
Move x terms to 1 side, constant to the other:
3x +2x= 12 -2
Simplify:
5x= 10
Divide both sides by 5:
x= 10 ÷5
x= 2
Substitute x=2 into (1):
y= 3(2) +2
y= 6 +2
y= 8
What is the value of -42+(5-2)(-6)?
0-34
-2
0 10
34
Answer:
-60
Step-by-step explanation:
-42+3*-6
-42-18
-60
What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft
3
, to the nearest tenth of a foot?
Answer:
r≈4.5 ft
Step-by-step explanation:
r≈4.5 ft
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
384=
384=
\,\,\left(\frac{4}{3}\pi\right) r^3
(
3
4
π)r
3
384=
384=
\,\,(4.1887902)r^3
(4.1887902)r
3
Evaluate 4/3pi in calc
\frac{384}{4.1887902}=
4.1887902
384
=
\,\,\frac{(4.1887902)r^3}{4.1887902}
4.1887902
(4.1887902)r
3
Evaluate \frac{4}{3}\pi
3
4
π in calc
91.6732472=
91.6732472=
\,\,r^3
r
3
\sqrt[3]{91.6732472}=
3
91.6732472
=
\,\,\sqrt[3]{r^3}
3
r
3
Cube root both sides
4.5090066=
4.5090066=
\,\,r
r
\text{Final Answer:}
Final Answer:
r\approx 4.5\text{ ft}
r≈4.5 ft
Round to nearest tenth
The radius of the sphere is approximately 4.2 feet.
What is the volume of the sphere?To find the volume of a specific sphere, we need to know its radius. Once we have the radius, we can plug it into the formula and calculate the volume.
The formula for the volume of a sphere is:
V = (4/3) x π x r^3
where V is the volume of the sphere, r is its radius, and π is a mathematical constant approximately equal to 3.14.
We are given the volume of the sphere, so we can plug it into the formula and solve for the radius:
384 = (4/3) x π x r^3
Dividing both sides by (4/3) x π, we get:
r³ = 384 / ((4/3) x π)
r³ = 72.825
Taking the cube root of both sides, we get:
r ≈ 4.243
The radius of the sphere is approximately 4.2 feet.
To know more about volume follow
https://brainly.com/question/29091596
#SPJ2
Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1 l- foot increments, which set of wood length will form a triangle?
A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean
Answer:
The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?
A sample of n is needed, and n is found when M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96\sqrt{\sigma}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]
[tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]
The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.
Find the number of terms in this polynomial.
–3p9 − 7p
Answer:
ans: 2 terms
Step-by-step explanation:
1st term: -3p^9
2nd term: -7p
Does the point (3,25) lie on the line y = 6x + 7?
Answer
YesStep-by-step explanation:
Replace x and y
[tex](3 \: \: \: 25)[/tex]
[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]
So, the point (3,25) lie on the line y=6x+7
hope this helps you.
Have a nice day!
Find the simple interest. $1,540, 8.25%, 2 years
Answer:
[tex]simple \: interest = \frac{ptr}{100} \\ si = \frac{1540 \times 2 \times 8.25}{100 } \\ = 254.1[/tex]
Find the area of this figure
Answer:
90ft²
Step-by-step explanation:
Figure shown is a triangle
Area of a triangle = ( base length times height ) divided by 2
The triangle has a given height of 12 ft and a given base length of 15 ft
Hence area = ( 12 * 15 ) / 2
12 * 15 = 180
180 / 2 = 90
area = 90ft²
Answer:
Area is 90 degrees.
Step-by-step explanation:
The formula for the area of a triangle is (h*b)/2=A
We know height is 12.
We know base is 15.
So lets plug these in:
(12*15)/2=A
180/2=A
90=A
So 90 is our answer!
Hope this helps!
What is the product of 4x2/3
[tex]\sf\purple{2.667}[/tex] ✅
Step-by-step explanation:
[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
can you explain
pls now later
Solve the following system of equations graphically on the set of axes below.
y= -3/2x-8
y= 5/6x+6
uhhh i need answers on this, its hurting my BRAIN
Answer:
B. 1.8 x 10⁴
Step-by-step explanation:
6.3 / 3.5 = 1.8
10⁷/ 10³ = 10⁴
Therefor
6.3 x 10⁷ / 3.5 x 10³ = 1.8 x 10⁴
Answer:
B. 1.8 x 10⁴6.3 / 3.5 = 1.810⁷/ 10³ = 10⁴Therefor,6.3 x 10⁷ / 3.5 x 10³ =1.8 x 10⁴Hope it is helpful to you ☺️
8. Are these ratios equvalent?
9: 3 arid 15:5 and 3:1
Answer:
Yes
Step-by-step explanation:
3:1 x 3 = 9:3
3:1 x 5 = 15:5