Answer:
0.7780
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
We have that [tex]\mu = 7.19, \sigma = 0.86[/tex]
Sample of 12:
[tex]n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483[/tex]
What is the probability that the mean cost will be more than $7.00?
This is 1 subtracted by the pvalue of Z when X = 7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{7 - 7.19}{0.2483}[/tex]
[tex]Z = -0.765[/tex]
[tex]Z = -0.765[/tex] has a pvalue of 0.222
1 - 0.222 = 0.778
So the answer is 0.7780
Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.
Answer:
0.5 pounds!
Step-by-step explanation:
Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?
Answer:
Number of baskets Lanni make = 3 basket
Step-by-step explanation:
Given:
Total attempt = 18 times
Ratio(Basket make : Basket missed) = 1:5
Find:
Number of baskets Lanni make
Computation:
Number of baskets Lanni make = Total attempt x [Basket make ratio]
Number of baskets Lanni make = 18 x [1/(1+5)]
Number of baskets Lanni make = 3 basket
Can someone please help me out?
9514 1404 393
Answer:
64°
Step-by-step explanation:
y° and the angle marked 64° are "alternate interior angles", so are congruent.
y° = 64°
Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?
Answer:
240 people are going on the trip
Step-by-step explanation:
216 students and 24 parents
If r * s = s to the power of r, then 3 * 2 =
Answer:
[tex]3*2=8[/tex]
Step-by-step explanation:
We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:
[tex]r*s=s^{r}[/tex]
[tex]3*2=2^{3}[/tex] (Substitute [tex]r=3[/tex] and [tex]s=2[/tex] into [tex]r*s=s^{r}[/tex])
[tex]=8[/tex] (Simplify)
Hope this helps!
Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3
Answer:
y -y1= m(x-x1) is in point slope form
y --9 = -2 (x-10)
y+9 = -2(x-10)
Step-by-step explanation:
HOPE THIS HELPS!!!
The value of the ratio y/x of two proportional quantities x and y is called..
either constant of proportionality, ratio, unit rate, proportion, rate, or proportional relationship
Answer:
constant of proportionality
Step-by-step explanation:
Assuming that we have two proportional quantities; one is x and one is y.
If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.
A basketball player has a 0.6 probability of making a free throw. What is his probability of making two consecutive free throws. Remember free throws are independent of each other. Show work and solve.
Answer:0.36
Step-by-step explanation:
Given
Probability of a free throw =0.6
It is given that the two throws are independent of each other
So, the Probability of making two consecutive throws
[tex]P=\text{Probability of first throw}\times \text{Probability of second throw}\\P=0.6\times 0.6=0.36[/tex]
List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *
Answer:
Increased by, added, brought up (All I know of haha)
Step-by-step explanation:
Theres really no explanation to this other than learning your mathematical terms.
Can someone help me? I don’t know how to solve it. Thank you!
Answer:
C. 5x^2 - 8x + 13
Step-by-step explanation:
I need to know what this is
Answer:
[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]
3x(x-3)²/2(x+3)(x-2) is the right answer.In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs?
Select all that apply
(2, 4), (6, 3), (5, 4). (7,3), (8.2)
A There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.
If x is any real number, then x2 ≥ 1.
Select the correct answer.
x = -2.5
x = -1.5
x = 0.5
x = 1.5
Answer:
x≤−1 or x≥1
Step-by-step explanation:
negative 50 divided by positive 10
WRITE THE FIRST 4 TERMS OF THE SEQUENCE DEFINED BY THE GIVEN RULE ( PLEASE ANSWER FAST PLEASE QUICKLY WILL GIVE BRAINLIEST AND THANKS!!!! PLEASE HURRY!!!!)
Step-by-step explanation:
5.) f(1) = 7, f(n) = -4※f(n-1) + 15
[tex]f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253[/tex]
The first four terms are 7, -13, 67, -253.
7.) f(1) = 3, f(n) = [f(n-1)]²
[tex]f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561[/tex]
The first four terms are 3, 9, 81, 6561.
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
What accounted for the high mortality rate of the French Army in Russia?
Answer:the lost the war
Step-by-step explanation:
how many turning points will a quartic fumction with four real zeros have?
upto four roots or zero......
can anyone help me please ?
Answer: 84 dollars
Step-by-step explanation:
Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3
Answer:
A. 4
Step-by-step explanation:
Constant of proportionality (k) = y/x
We can use the coordinates of any point on the line to find k.
Let's use (2, 8)
Constant of proportionality (k) = 8/2
Constant of proportionality (k) = 4
On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
275
Step-by-step explanation:
412kg - 123kg - 14kg = 275kg left
Because he used 275 kg out of 412kg
PLEASE help!!!!
Im timed!
Answer:
it would be B
Step-by-step explanation:
which number is composite? (9,5,11,2)
Answer: 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3 x 3 = 9 :)
can someone give me 500 pts and 5 brainliest
Answer:
No -_-
Step-by-step explanation:
wot why??- 0,0
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there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 coustomers they serve. About how many apples will they sell in 6 hours if they serve 10 coustomers every hour?
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
Type the given number as a product of prime numbers. 135
Answer:
the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs
Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?
Answer:
6,8,and 10
Step-by-step explanation:
Answer:
6,8,and 10
Step-by-step explanation:
when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.
1. 2+5>10 = 7>10 FALSE
2. 4+5>10 = 9>10 FALSE
3. 6+5>10 =11>10 TRUE
4. 8+5>10 = 13>10 TRUE
5. 10+5>10 = 15>10 TRUE
What is the solution to this system of equations?
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]
Adding both equations
[tex]-\frac{2}{3}x-y=2[/tex]
[tex]+[/tex]
[tex]\underline{\frac{2}{3}x+y=6}[/tex]
[tex]0=8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
According to the table, if a married couple filing jointly earns $67,400, what will their taxes be to the nearest dollar?
A): $10,470
B): $10,590
C): $11,150
D): $11,320
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Dont worry about what I type hear the answer is C