Answer:
B
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.264
x = 10^(1.264)
x = 18.38 (to two d.p)
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered. Downtown StoreNorth Mall Store Sample size2520 Sample mean$12$6 Sample standard deviation$3$1 The point estimate for the difference between the two population means is 6. Find a 95% interval estimate for the difference between the two population means. 0.654 to 2.615 3.958 to 8.042 4.692 to 7.308 5.699 to 8.301
Answer:
4.692 to 7.308
Step-by-step explanation:
Given :
n1 = 25 ; n2 = 20 ;
Mean x1 = $12 ; mean x2 = $6
Standard deviation, s1 = 3 ; s2 = 1
Confidence interval :
(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)
x1 - x2 = (12 - 6) = 6
√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640
Degree of freedom :
((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1
Numerator = 0.1681
Denominator = 0.0054 + 0.0001315 = 0.0055315
Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30
Tcritical at 0.05, df = 30 = 2.042272
Hence ;
6 ± 2.042272(0.640)
6 ± 1.30705408
Lower boundary = 6 - 1.30705408 = 4.69294592
Upper boundary = 6 + 1.30705408 = 7.30705408
(4.693 ; 7.307)
In triangle UVW, the measure of angle W is 90 degrees, UV is 4.7 feet, and WU is 2.2feet. Find the measure of angle u to the nearest degree
Answer:62
Step-by-step explanation:
plz help plz no links
Answer:
-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8 (least to greatest)
Step-by-step explanation:
How many 1/7 cup servings are in 9 cups of pecans (in fraction form)
Eight hundred dentists were surveyed about the toothpaste they would recommend to their patients. The survey results are shown in the table below.
Dentists Survey Results
Toothpaste Number Recommended
W 280
X 165
Y 210
Z 145
Which of these could a commercial accurately state about the results of the survey?
Select one:
More than half of the dentists recommended toothpaste W and Y.
More than twice as many dentists recommended toothpaste W over Z.
More dentists recommended toothpaste Z over Y.
Four out of five dentists recommended one of the toothpastes.
Answer:
[tex] \huge \sf \underline { \orange{AnSwEr : }}[/tex]
More dentists recommended toothpaste Z over Y.~
PLEASE HELP!
THE QUESTION IS IN THE PHOTO!
For What value of x is ABC~DEF?
Answer:
x=12
Step-by-step explanation:
Since the triangles are congruent, you can use either B or D to solve for x.
7x+10=94
7x=94-10
7x=84
x=84÷7
x=12
The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 1 of 2: Suppose a sample of 517517 suspected criminals is drawn. Of these people, 211211 were captured. Using the data, estimate the proportion of people who were caught after being on the 1010 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.
Step-by-step explanation:
Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:
517,517 = 100
211,211 = X
211,211 x 100 / 517,517 = X
21,121,100 / 517,517 = X
40.81 = X
Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.
Find the value of x UREGENT HELP PLEASE
Answer:
15.3
Step-by-step explanation:
Cos 32 = x/18
Cos 32 = 0.848048096
x/18 = 0.848048096
x = 15.3 (rounded)
HELP ILL GIVE YOU BRAINLIEST AND A FOLLOW
what does x=?
Answer:
#1: x=8, #2: x=21, #3: x=9
Step-by-step explanation:
So, to solve each of these x's, we need to do two things:
Find the scale factor
Then scale for x.
So lets start off with the first one.
We have a side value fo 3.
In the scaled version, we have the same side with a value of 6.
To find the scale, divide the 6 by 3:
6/3
=
2
So our scale is 2.
Next, lets look at our value on the traingle we know, and solve for the unkown x. We know that on the orginal traingle, its 4. For the version thats 2 times bigger, its x
So to solve this, multiply the 4 by 2:
4*2
=
8
This is your x value for the first question.
Next we have the side value 12 for the trapezoid. For the one next to it, the trapezoid has the same side with a value of 18.
To find the scale, lets divide 18 by 12.
18/12
=
1.5
That is our scale factor.
In these trapezoids, the bottom value is orginally 14.
In the scaled version, which we know is 1.5 times bigger, we have x.
To solve for x, lets multiply the 14 by 1,5:
14*1.5
=
21
So we know our x is 21 for the second answer.
Finally we have the third question.
This one is opposite to the last ones, where the smaller value has the missing x value.
Here our top side value is 20.
On the scaled version it is 15.
Lets divide 15 by 20, instead of what we normally do. Which would have been 20 by 15:
15/20
=
.75
Now, with this scale factor, our x will be smaller than the known value. Looking at the side length, the orginal value is 12.
On the scaled side length that is 0.75 times as big, its x
So lets multiply 12 by 0.75:
12*0.75
=
9
So this is your last x value, for your third answer!
This might seem long and tedious, but its actually a simple way of thinking about it, and you may find that you can quickly do this in your head, instead of a shorter, more complex way.
Hope this helps!
Which direction would the graph of y=-|X|+ 9 open?
right
down
left
up
Answer:
Down
Step-by-step explanation:
The "parent function" is y = |x|, which opens up.
Changing the sign to y = -|x| flips (reflects) the graph over the x-axis, so the new graph opens down. Adding 9 shifts the graph up 9 units, but that does not change the way the graph opens.
See the attached image.
y = |x| purple
y = -|x| black
y = -|x| + 9 red
A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He misses the receiver on the first throw 40% of the time. When his first throw is incomplete, he misses the receiver on the second throw 5% of the time. What is the probability of not throwing the ball to a receiver on the second try given he missed on the first try?
Answer:
2%
Step-by-step explanation:
.4*.05=.02
help me please help. ........................
Answer: the third option (3/6 > 5/12)
Step-by-step explanation:
process of elimination:
option one is incorrect because 1/2 = 3/6 (not 1/2 > 3/6)
option two is incorrect because again, 1/2 = 3/6
option four is incorrect because 3/6 > 5/12
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]
The base of a pyramid is a rectangle with a length of 3 centimeters and a width of 6 centimeters. If the height of the pyramid is 12 centimeters, what is the volume of the pyramid?
Answer:
Step-by-step explanation:
okay so if the centimeter is 3 you would multiply it by 6 cm and that
18 and then mulitiply that by 12 and your answer is
216
A box contains 83 coins, only dimes and nickels. The amount of money in the box is $5.80. How many dimes and how many nickels are in the box?
Answer:
Step-by-step explanation:
n = nickels
d = dimes
q = quarters
1) n + d + q = 39
n+d = q - 3
Translate to: 2) n + d - q = -3
.05n + .1d + .25q = 6.7 amount of each coin times the number of coins must add to 6.7
Multiply both sides by 20...
3) 1n + 2d + 5q = 134
Combine 1) & 2)
n + d + q = 39
n + d - q = -3
Add together
2n + 2d = 36
Divide by 2:
4) n + d = 18
Combine 1) and 3)
n + d + q = 39 Multiply by -5 => -5n -5d -5q = -195
n + 2d + 5q = 134 n + 2d + 5q = 134
Add together-> 5) -4n - 3d = -61
Combine 4) and 5)
n + d = 18 Multiply by 4 => 4n + 4d = 72
-4n - 3d = 61 -4n - 3d = -61
Add: d = 11
11 dimes...
Plug that into 4)
n + 11 = 18
n = 18-11 = 7 nickels.
Plug that into 1.
n + d + q = 39
7 + 11 + q = 39
18 + q = 39
q = 39-18 = 21 quarters
21 quarters, 7 nickels, and 11 dimes.
21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7 Check.
What is the solution of -21 = n – 8?
a. n = -168
b. n = -29
c. n = -13
d. n = 168
In the table, x and y are in a proportional relationship. у 3 -5.4 5 -9.0 9 -16.2 12 -21.6 Let x be the independent variable. What is the value of the constant of proportionality? А -1.8 B -1.4 C 1.4 D 1.8
Answer:
A. -1.8
Step-by-step explanation:
If x is the independent variable and y is the dependent variable, therefore constant of proportionality would be:
k = y/x
Using any pair of values from the table, we can find k. Let's use (3, -5.4):
k = y/x = -5.4/3
k = -1.8
correct answer gets brainlisted and a like
If the ratio football players two basketball players at your school is 7:5 then how many basketball players are there if they are 21 football players
Answer:
I think that there are 15 basketball players.
Step-by-step explanation:
If there is a ratio of football to basketball players of 7:5, and there are 21 football players. i just divide 21 by 7 and get 3. so if we multiply the 5 in the ratio by 3 we get 15. so I think the answer is 15. if not then ignore my answer. if so the brainliest please?
A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are the dimensions of its base?
Answer:
14 inches
Step-by-step explanation:
Since the rectangular prism has a square base, we know that the width and length are equal.
Using the formula for calculating the volume of a rectangular prism, we can set up an equation:
(width^2)*height = 980 cubic inches or
(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:
width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:
√width (inches) = √196 square inches = width = 14 inches
each side of the prism's base is 14 inches
Answer:
980 in
Step-by-step explanation:
Justin has a 2pound bag of Lima beans that he want to divide between 3families.how many pound of Lima beans should each family's receives? A. 3/2 pound b.2/3 c.2 1/3 pound d.3 1/3 pounds
Answer:
2/3 pounds of lima beans
Step-by-step explanation:
2 divided by 3 = 2/3 = 2/3
Hope this helps!
Answer:
2/3 pounds (Option B)
Step-by-step explanation:
Using unitary method ,
3 families will receive = 2 pounds of lima beans.
(Dividing both the sides by 3)
⇒ [tex]\frac{3}{3}[/tex] family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans
⇒ 1 family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans.
∴ Each family will receive 2/3 pounds of lima beans.
URGENT NEED HELP CLICK TO SEE
Answer: 2*5^2-12
5 to the 2nd power is 25
2*25-12
2*25=50
50-12=38
the answer is C 38
hope this helps
For Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 minus =
✔ infinity
and Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 plus=
✔ negative infinity
. These limits indicate there is an asymptote of
.
Answer:
x=2
Step-by-step explanation:
Just did the assignment
The given rational function, that is, (x² - 4 · x - 12) / (x-2), has no horizontal asymptotes but one vertical asymptotes at x = 2.
How to determine the asymptotes of a rational function
A rational function has a horizontal asymptote if and only if the limit exists for x tending to ±∞. Rational functions have a limit if and only if the grade of the denominator is equal to or greater than the grade of the numerator. A vertical asymptote exists for all values of x such that the denominator equals 0.
Based on these facts, we conclude that the given rational function has no horizontal asymptotes but one vertical asymptotes at x = 2.
To learn more on rational functions, we kindly invite to check this verified question: https://brainly.com/question/20850120
You are making a pyramid-shaped trophy.
The trophy has a square base with side lengths of 9 inches and a slant height of 11 inches.
The paint needed costs $0.15 per square inch.
How much will it cost to paint the faces of the trophy?
Show your work
Answer: [tex]\$29.7[/tex]
Step-by-step explanation:
Given
The trophy has a side of [tex]a=9\ in.[/tex]
Slant height [tex]l=11\ in.[/tex]
Rate of painting [tex]r=\$\ 0.15/in.^2[/tex]
Lateral surface area of square pyramid is [tex]2al[/tex]
Insert the values
[tex]\Rightarrow 2\times 9\times 11\\\Rightarrow 198\ in.^2[/tex]
Cost of painting
[tex]\Rightarrow 198\times 0.15=\$29.7[/tex]
The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).
Which would be the best measures of center and variation to use to compare the data?
Answer:
https://rr.noordstar.me/83819a0f
Answer: B
Step-by-step explanation:
I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:
A - If it's skewed Mean wouldn't be used
C - If it's Symmetric IQR wouldn't be used
D - If it's skewed Standard Deviation wouldn't be used
What is the product
2 1/3 times 3 1/4
Answer:
[tex]7\frac{7}{12}[/tex]
Step-by-step explanation:
please help me i dont understand thank you!!
Answer:
32 units squared
Step-by-step explanation:
Split up the figure into easy to find area parts. So, theres 2 triangles, and in the middle of those, you can make a square. And that would make the top part a large triangle! Now find the area of these
Large triangle: 1/2 (4)(10) = 20
Smallest triangle: 1/2(2)(2) = 2
Medium triangle: 1/2(6)(2) = 6
Square: 2*2 = 4
Now add them all up! 20+2+6+4 = 32 units squared!
Henry is looking for the best deal on a tablet that regularly costs $829. Help him compare the price of the tablet at a stre
with the price on the store's website by completing the following.
(a)
The store's website is offering the tablet at a 80% discount off the regular price. Ignoring tax and shipping, how
much would he pay for the tablet on the store's website?
(b)
The store is having a sale, offering a 70% discount off the regular price of the tablet. Henry also has an
in-store-only coupon for an additional 10% off the sale price. Ignoring tax, how much would he pay for the tablet at
the store?
(c)
Select the true statement.
Henry would pay less for the tablet on the website.
Henry would pay less for the tablet at the store.
O Henry would pay the same amount at the store and on the website.
X
$
Answer:
$165.8 ;
$223.83 ;
Henry would pay less for the tablet on the website.
Step-by-step explanation:
Given :
Regular price = $829
On website :
80% discount off the regular price :
(100 - 80)% * regular price
20% * 829
0.2 * $829 = $165.8
At store :
70% off regular price :
(100 - 70)% * 829
0.3 * 829
= $248.7
10% off sale price :
(100 - 10)% * $248.7
0.9 * 248.7
= $223.83
Henry would pay less for the tablet on the website.
Evaluate F(x)=4x+5 when x=4
f(4)=
Answer:
F(4) = 21
Step-by-step explanation:
[tex]F(4)=4(4)+5\\F(4)=16+5\\F(4)=21[/tex]
Answer:
21
Step-by-step explanation:
F(X) = 4x + 5
One is asked to find (F(4)), substitute (4) in place of (x) and solve,
F(4) = 4(4) + 5
= 16 + 5
= 21
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
Answer:
SA = 56 sq mi
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
SA = 16 + 1/2(16)(5)
SA = 16 + 8(5)
SA = 16 + 40