Answer:
$67.20
Step-by-step explanation:
"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.
0.70($96) = $67.20 is the sales price
Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?
Answer:
1
Step-by-step explanation:
A third of 3=1
3/3=1
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.
Answer:
The LCL for a 90% confidence interval for p is 0.82.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.
The ___________ of a numerical set of data is the value that occurs most frequently.
Malia and her sister walk at a constant rate of 4 miles per hour.
At this constant rate, how far can Malia and her sister walk in 1.5 hours?
Answer:
6mi per 1.5h
Step-by-step explanation:
4miles per 1h
6miles per 1.5h
4×1.5=6
14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y
Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7
Can someone please help me?
9514 1404 393
Answer:
x = 87°vertical anglesStep-by-step explanation:
The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.
As such, they are congruent, so x = 87°.
Tala drives 8 miles to work each day. how many miles does she drive to work in 83 days?
Answer:
664 miles by only going to work not coming back.
Step-by-step explanation:
Zach has $50 to spend on a sweater. Let c represent the cost of the sweater. He has a coupon for 5% off. The expression 50 -(c -0.05c)
represents how much money Zach has left after buying the sweater and using his coupon.
Choose two expressions that also represent how much money Zach has left.
A. 0.950
B. 50 -0.05c
C. 50 -0.950
D. 50-C-0.050
E. 50-C+0.050
Answer:
B and D
Step-by-step explanation:
A cone has a base radius of 3 cm and a slant height of 5 cm.
Find h, the perpendicular height of the cone.
Answer:
h=4
Step-by-step explanation:
5²-3²=h²
h²=16
h=4cm
Answer:
I=4 (Slant height)
R=3 (Radius)
H=5 (slant height)
Step-by-step explanation:
Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :
[tex]a^{2}+b^{2}= c^{2}\\[/tex]
where Height is A , Radius is B, and Inclination is C we have:
[tex]3^{2} +I^{2} = 5^{2}[/tex]
from above we have:
[tex]I^{2} =25-9[/tex]
and
[tex]\sqrt{I}=\sqrt{16} =4[/tex]
Image below! PLEASE HELP! THIS IS DUE!
Answer:
270 if not simplified and
1/1 if simlifies
Step-by-step explanation:
A house plan is drawn to the scale of 1/4 inch = 4 ft. What is the length of the house if it measures 3 3/8 inches on the floor plain.
Answer:
54
Step-by-step explanation:
3 3/8 / 1/4 = 13 1/2
13 1/2 x 4 = 54
How do you make an array of 5/6 x 3/4 ?
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
Answer:
it is A because the shape is the same and is just facing a different way
Step-by-step explanation:
How would you characterize the relationship between the hours spent on homework and the test scores
Answer:
sorry can'thelp
Step-by-step explanation:
Answer and explanation:
I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!
When Victoria goes bowling, her scores are normally distributed with a mean of 130 and a standard deviation of 11. What is the probability that the next game Victoria bowls, her score will be between 123 and 130, to the nearest thousandth?
Answer:
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
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 130 and a standard deviation of 11.
This means that [tex]\mu = 130, \sigma = 11[/tex]
What is the probability that the next game Victoria bowls, her score will be between 123 and 130?
This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 130}{11}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 123
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{123 - 130}{11}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a p-value of 0.2611
0.5 - 0.261 = 0.239
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
Segments AB and CD coincide.
Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."
What error did Vinay make in his conclusion?
Choose 1 answer:
A. These segments are mapped onto each other, so they are congruent
B. The segments are not congruent, because no transformations were used
C. There is no error. This is a correct conclusion
Answer:
A
Step-by-step explanation:
The correct reason should be These segments are mapped onto each other, so they are congruent.
What is Congruency.In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
We have the statements as
Segments AB and CD coincide
Now, Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."
As per Vinay the lines would never able to coincide if they are not congruent.
So, the correct reason should be These segments are mapped onto each other, so they are congruent.
Learn more about Congruent here:
https://brainly.com/question/12413243
#SPJ2
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter
Answer:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
thus our equation is
[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]
cancel out 86° from both sides:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
hence,
the measure of the missing angle is 49°
Answer:
Solution given'
<2+45+86=180°[sum of interior angle of a triangle]
<2=180-131
<2=49°
Mike drinks 2/5 of a litre of juice each day.Juice costs £4.40 for a 2 litre carton and £2.60 for a 1 litre carton.Mike buys enough juice to last for 7 days.What is the lowest price Mike can pay for this juice?Show how you decide.
find mHK please help
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation
What’s the answers to 15 and 16
A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.
b.How long will it take to reach the ground?
Answer:
Step-by-step explanation:
h = - 16t ^ 2 + 50t + 4
maximum height take the first derivative of h (calculus if you are taking it)
h' = -32t + 50 set this equal to zero
0 = -32t +50
t = 50/32
t = 1.5625 now plug t = 1.5625 into the height equation
h = - 16(1.5625) ^ 2 + 50(1.5623) + 4
h = 43.0625 ft
you can also find the maximum height by graphing the function and locating the peak value (much easier)
how long to reach the ground h = zero
0 = - 16(t) ^ 2 + 50(t) + 4
use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that
t = -0.078 and 3.203 seconds
obviously the negative root makes no sense unless he time travelled so
t = 3.203 seconds
Simplify the expression
6:3x4
Answer:
8
Step-by-step explanation:
6:3=2
six divided by three equals four (hence the ratio)
2*4=8
two times four equals eight.
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)
Answer:
these are negative numbers
Step-by-step explanation:
Find the length of NL.
Answer:
8
Step-by-step explanation:
By intersecting chords theorem:
[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]
NL = 4 + x = 4 + 4 = 8
plz help i will give brainliest and i will report you if you post a link
Answer:
$11,640
Step-by-step explanation:
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
51
Step-by-step explanation:
The measure of an angle is 61.3 degrees. What is the measure of its complementary angle?
Answer:
118.7
Step-by-step explanation:
180-61.3
How many holes need to be drilled for 24 parts
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). After the game the mean inflation was 12.5 psi.
Select the null hypothesis H0.
Group of answer choices
0=13
0=12.5
0<13
0>12.5
Answer:
The null hypothesis is [tex]H_0: \mu = 13[/tex]
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).
This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:
[tex]H_0: \mu = 13[/tex]