Answer:
The answer is "0.250".
Step-by-step explanation:
Given:
[tex]P(X=7) \\\\ n=10\\\\ p=0.75\\\\x \sim Binomial (n = 10, p = 0.75)\\[/tex]
[tex]P(X=7) =\binom{n}{x} P^{x} (1-p)^{(n-x)} \\\\[/tex]
[tex]= \binom{10}{7}(0.75)^7(1-0.75)^{10-7} \\\\=120 \times (0.75)^7 \times (0.25)^3\\\\=0.250[/tex]
Which would be the best method to use to solve the following equation. Explain your reasoning.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
x^2-x-6=0
Method:
Why:
Answer:
x = 3 and x = -2
Step-by-step explanation:
The given equation is :
[tex]x^2-x-6=0[/tex]
We need to solve the given equation.
We can solve it using Completing the Square method.
We take two numbers such that their product is -6 and sum is -1.
So,
[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]
so, the values of x are 3 and -2.
can someone please help me with this
Answer:
60 units^2
Step-by-step explanation:
area of triangle=base*height/2=8*15/2=120/2=60 units^2
Answer:
The answer would be 60 units ^2
Step-by-step explanation:
To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.
Simplify (8 ÷ 24) ÷ 2
Answer:
1/6
Covert simplest
1/3÷2
1/6
A dietitian is interested in the average amount of time teenagers exercise per week. Based on previous studies, teenagers exercise an average of 6.5 hours per week. The dietitian suspects this average has increased. During the process of hypothesis testing, the dietitian calculates a test statistic of 3.30. If this test statistic is higher than the critical value, what can the dietitian do next
Answer:
The dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
Step-by-step explanation:
H0 : μ = 6.5
H1 : μ > 6.5
The test statistic value = 3.30
The critical value > test statistic
The Decison region :
If; test statistic > critical value (Fail to reject H0)
If; test statistic < Critical value (Reject H0)
Given that the test statistic is > critical value ; then we fail to reject the null
Hence, the dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
Can someone answer 22 step by step?
-6x+5=47. What does x equal and how do I show my work
Answer:
X = -7
Step-by-step explanation:
-6x + 5 = 47
-6x +5 -5 = 47 - 5
-6x = 42
-6x/-6 = 42/-6
X = -7
Answer:
Hello There!!
Step-by-step explanation:
Write the equation: -6x+5=47
Takeaway 5 from both sides: -6x=42
Divide by -6 from both sides: x=-7
Therefore, x=-7.
hope this helps,have a great day!!
~Pinky~
Jose reads his book at an average rate of 2.5 pages every four minutes. If Jose continues to read at exactly the same rate what method could be used to determine how long it would take him to read 20 pages?
it would take him 32 minutes. You could use divisoin and multiplecation to figure it out
6x- y^2 If x=4 And y=2
HELP QUICK ITS TIMEDDDD WILL GIVE BRAINLYIST
How many triangles are formed by drawing a diagonal from vertex A to all non-adjacent vertices in a regular octagon?
A. 6
B. 5
C. 4
D. 3
Answer:
4
Step-by-step explanation:
just trust me
Answer:
its 6
Step-by-step explanation:
can i get the brainly?
Solve this system of equations by substitution.
y = 4x
2x + y = 6
Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.
What was the original price of the sweater, in dollars
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation: Sorry if this doesn't help....
Find the Volume.*
Of a 3x3 cube
Answer:
either 9 or 27
Step-by-step explanation:
most likely 27 because 3x3x3
Answer:
Cube number of 3 is 27
Step-by-step explanation:
cube of 3 is like 3×3×3 =27
Elimination 5x -6y = -17. -3x -5y = -7
Answer:
x = -1 and y = 2
Step-by-step explanation:
3(5x - 6y = -17)
5(-3x - 5y = -7)
----------------------- Add the two equations together
-43y = -86
y = 2
5x - 6(2) = -17 Substitute y with 2 in the first equation to get the value of x
x = -1
Answer:
x = -1
y = 2
Step-by-step explanation:
5x - 6y = -17
-3x - 5y = -7
I will eliminate variable x first:
Multiply the first equation by 3
15x - 18y = -51
Multiply the second equation by 5
-15x - 25y = -35
Now subtract the second equation from the first equation:
15x - 18y = -51
-15x - 25y = -35
0x - 43y = -86
-43y = -86
Divide both sides by -43
Negative + Negative = Positive
y = 2
Now eliminate variable y:
Multiply the first equation by 5
25x - 30y = -85
Multiply the second equation by -6 (Negative switches all of the signs)
18x + 30y = 42
43x + 0y = -43
43x = -43
Divide both sides by 43
x = -1
Check work:
5(-1) - 6(2) = -17
-5 - 12 = -17
-17 = -17
Correct
-3(-1) - 5(2) = -7
3 - 10 = -7
-7 = -7
Correct
I don’t Understand this who can help me
Step-by-step explanation:
The area of a square is
[tex] {s}^{2} [/tex]
where s is the side length.
It is given that the smaller square side length is s so that means the area of that smaller square is the formula above.
The longer square is twice the side length of the side length of the smaller square.
Since all squares have equal sides, that means all the side are twice than the smaller square sides.
We can represent that larger square area by
(4s) squared
To find how many smaller squares it would take to fill the larger square divide the formula by each other.
(4s)÷s squared =4
A color printer prints 8 pages in 5 minutes.
How many minutes does it take per page?
Answer:
It takes 5/8 minutes or 0.625 minutes to print per page.
Step-by-step explanation:
The find the singular unit value of how long it would take per page you simply divide the amount that you are trying to figure out by the total amount of time you are taking and in this case it would be 5 divided by 8 in order to solve for the amount of minutes it takes per page.
A communications company is building a 30-foot antenna to carry cell phone transmissions. As shown in the diagram
below, a 50-foot wire from the top of the antenna to the ground is used to stabilize the antenna.
Find, to the nearest degree, the measure of the angle that the wire makes with the ground.
Answer:37
Step-by-step explanation: it’s
The heights of male are normally distributed with mean of 170 cm and standard deviation
of 7.5cm. Find the probability that a randomly selected male has a height > 180 cm.
Answer:
0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 170cm and standard deviation of 7.5 cm.
This means that [tex]\mu = 170, \sigma = 7.5[/tex]
Find the probability that a randomly selected male has a height > 180 cm.
This is 1 subtracted by the pvalue of Z when X = 180. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 170}{7.5}[/tex]
[tex]Z = 1.33[/tex]
[tex]Z = 1.33[/tex] has a pvalue of 0.9082
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.
can someone help me with some of my math homework?
Answer:
H
Step-by-step explanation:
Answer:
H. -5x-50
Step-by-step explanation:
just distribution property
Simplify the following rational expression.
(HELP PLS?)
Answer:
Simplified expression: [tex]\frac{1}{y+8 }[/tex].
The value of y that makes the expression undefined is y=-8.
Step-by-step explanation:
[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]
= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]
(cancel out 2y³)
=[tex]\frac{1}{y+8 }[/tex]
A rational expression is undefined when the denominator (bottom number) is zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.
How do you use a number line to find 3/4 times 2/5
Answer:
First, you need to find the number 2/5 on the number line.
Now, you want to find (3/4) times (2/5)
Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)
sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)
Another way, which should give you the exact same point, is:
First locate the point (3/4) on the number line.
Now, you want to find (3/4) times (2/5)
The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)
Because the numerator is 2, you need to move, from the origin, two of these parts to the right.
The point where you end is the product (3/4)*(2/5)
Please please help no scams please
Answer:
between 6 and 7
Step-by-step explanation:
√39 = 6.244... which is between 6 and 7
also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.
Rewrite the equation 8x + 6x^2 -7=x^2 in standard form and identify a, b, and c.
Answer:
[tex]5x^2+8x-7=0\\a=5\\b=8\\c=-7[/tex]
Step-by-step explanation:
The standard form of a quadratic is [tex]ax^2+bx+c=0[/tex]. You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.
If this helped, a brainliest would be greatly appreciated!
PLS HELP IlL GIVE BRAINLIEST
Find the area of the polygon. Complete the explanation to show how you found your answer.
7 cm 7 cm polygon 5 cm 9 cm
Add the area of the top rectangle, 7 ×
=
to the area of the bottom rectangle, 9 ×
=
. The area of the polygon is
?
sq cm.
Is (1,8) a solution to the system of equations 3x+y=9 2x+9y=20
A class’s test scores are normally distributed if the average score 60 and the standard deviation is 7 choose the spots where the students scoring below 46 and above 74 lie
Answer:
46
Step-by-step explanation:
We are given that a class's test scores are normally distributed with an average score of 60.
We know that the curve of a normal distribution is symmetric about its mean.
60-14=46
60+14=74
Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.
Answer: Look at the picture below
Step-by-step explanation: I got this right on Edmentum
Please I need the answer ASAP
Answer:
8
Step-by-step explanation:
base×height÷2=area
2×8÷2=8
Please help ASAP.
There are 8 blue, 3, red, and 5 white straws in a cup. What is is the probability you reach and grab a white one for yourself and then a blue one for your friend?
the answer would be 2/16 or 1/8 :)
In which quadrant does θ lie if the following statements are true:
sin
θ
>
0
and
tan
θ
>
0
sinθ>0 and tanθ>0
Answer:
Quadrant I
Step-by-step explanation:
We are told that sin is positive (greater than 0) and tan is positive (greater than 0).
We know that sin is positive in quadrants I and II.
We also know that tan is positive in quadrants I and III.
Since both conditions share Quadrant I, the answer is Quadrant I.
solve the inequality
g/-100=6
Answer:
g = -600
Step-by-step explanation:
Please help me ill give brianliest
Answer:
61.25 cm^3
Step-by-step explanation:
V=whl=3.5·2.5·7=61.25
