Answer:
28 toys
Step-by-step explanation:
Ben has 50 toys, of which 15 are new, 9 are favorites, and 2 are new and favorites. You want to know the number that are neither new nor favorite.
GroupingsThe number of new toys includes (new and favorite) and (new and not favorite). That is ...
15 = 2 + new and not favorite
So ...
new and not favorite = 15 -2 = 13
Likewise, the number of favorite toys includes (new and favorite) and (not new and favorite). That is ...
9 = 2 + not new and favorite
not new and favorite = 9 -2 = 7
Donated
The total of 50 toys includes ...
total = (new and favorite) + (new and not favorite) + (not new and favorite) + (not new and not favorite)
50 = 2 + 13 + 7 + (not new and not favorite)
Then the number of (not new and not favorite) is ...
not new and not favorite = 50 -2 -13 -7 = 28
These are the toys that Ben gives away.
Ben gives away 28 toys.
<95141404393>
Data for the estimated number of HIV cases worldwide between 1988 and 1996 suggests exponential growth in the number of cases over this time period. An appropriate transformation of the data (base-ten logarithms were used) produced a strongly linear scatterplot, and a regression analysis was performed on the transformed data.
Here is the computer output:
Predictor Constant Coef SE Coef T F
-151.281 2.038 -74.22 0.000
Year 0.076577 0.001023 74.84 0.000
S= 0.00792598 R-Sq= 99.9% R-Sg (adj ) =99.9%
Note that HIV cases are in millions.
Which of the following value is closest to the value that this model predicts for the number of HIV cases in 1998?
(a) 1.72 million cases
(b) 2.18 million cases
(c) 17.2 million cases
(d) 52.5 million cases
(e) The predicted value is negative because we are extrapolating beyond the range o f the explanatory variable
Answer:
d. 52.5 million cases
Step-by-step explanation:
from the data output in the question, we have the regression equation to be
log y = -151.281 + 0.076577x
y is the number of hiv cases which is in millions
x is the year of the hiv case
x = 1998
we put the value of x in the regression equation
log y = -151.281 + 0.076577(1998)
log y = -151.281 + 153.000846
log y = 1.719846
since the result is in log form,
[tex]y=10^{1.791846}[/tex]
y = 52.5 million cases
A sports statistician claims that the mean winning times for Boston Marathon women's open division champions is 2.68 hours. A sample of 20 randomly is selected Boston Marathon women's open division champions reported a mean winning time of 2.6 hours. Based on the previous records, the standard deviation is 0.32 hour. At 5% level of significance, do you have enough evidence to show that the winning time is different than the claim?
Answer:
Please find the complete question and its solution in the below section.
Step-by-step explanation:
Follows are the null and alternative Hypothesis:
Null Hypothesis [tex]H_0: \mu = 2.68[/tex]
Alternative Hypothesis[tex]H_a: \mu < 2.68[/tex]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.2 m
Step-by-step explanation:
To solve the problem, we use pythagorean theorem, which is a^2 + b^2 = c^2. We are given both the legs, so we can substitute them in:
8^2 + 2^2 = c^2
And simplify to get:
c^2 = 64 + 4
c^2 = 68
Now, we find the square root of both sides to isolate c:
c = √68
√68 is approximately 8.24621125124
This rounded to the nearest tenth is 8.2 m
One answer, I’ll mark brainlist, NO LINKS!!!
Answer:
B
Step-by-step explanation:
You must multiply 1/4 to 2/8 so you can subtract
You buy 8.25 ounces of almonds and 7.5 ounces of cashews. You combine the nuts and divide them equally into 9 bags. How many ounces are in
Options are below
⬇️
1.75 ounces
9.5 ounces
15.5 ounces
17.5 ounces
PLS FOR 18 POINTS
Make x the subject of h = 4(x + 3y) + 2
80% of x is 20. What is x?
FIRST TO ANSWER GETS BRAINLIEST
Answer:
16
Step-by-step explanation:
(80x20)/100 = 16
(this is wrong, i misunderstood the question)
<
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.
←++
-7-6-5-4-3/2
A translation by
up/down
7-
6+
6543
У
5-
3-
24
2345
-3-
Determine the translation.
Use non-negative numbers.
-5+
-6-
D'
A
34 9/7
B
2
units to the right/left ✓
and
units
Answer:
1 unit to the left, 3 units down
Step-by-step explanation:
Take any point: I will take D. In order to get to D', you need to travel 1 unit along the x-axis towards the left, then 3 until along the y-axis downwards. The same applies for any other point.
Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden
The area of garden will be 81 feet².
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each side of the garden = 9 feet
We know that;
⇒ Area of square = Side²
Here, Each side of the garden = 9 feet
Hence, The area of garden = 9²
= 81 feet²
Thus, The area of garden = 81 feet²
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
Please help!!! I don’t know this answer ?
They will walk 6 laps and run 10 laps for a total of 16 miles considering each lap is of 1 mile.
What is mile?The mile is a customary unit of measurement in both the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is also referred to as the international mile or statute mile to distinguish it from other miles.
In 1959, the statute mile was formally redefined with respect to SI units as exactly 1,609.344 metres, establishing a standard between the British Commonwealth and the United States.
With qualifications, mile is also used to describe or translate a wide range of units derived from or approximately comparable to the Roman mile, such as the nautical mile (now exactly 1.852 km), the Italian mile (roughly 1.852 km), and the Chinese mile (now 500 m exactly).
6 laps + 10 laps = 16 laps
1 mile each laps = 16 miles
Learn more about mile
https://brainly.com/question/23245414
#SPJ1
Solve
15 - 6(x + 1) = 12
help pls
Answer:
x = -0.5
Step-by-step explanation:
15- 6(x+1) = 12
> 15- 6x -6 = 12
>15 - 6x = 18
>-6x = 3
>x = -0.5
Answer:
1/2
Step-by-step explanation:
15-6(x+1)=12
15-6x-6=12
-6x=12+6-15
-6x=3
x=-1/2
The graph of a linear function contains the points (4,5), (6, 13). (a, 25). What is the value of a?
4
9
12
36
Answer:
12
Step-by-step explanation:
4,5
6,13
12,24
So I belive it C
4. Twelve nails have a mass of 423 grams. The number of grams per nail is between what 2
numbers?
a. 31 and 32
b. 33 and 34
C. 35 and 36
d. 37 and 38
Answer:
C
Step-by-step explanation:
you do twelve divided by 423 to get your answer.
Which is the graph of f(x) = 1/4(4)^x?
Answer:
The last graph with the point (2,4).
Step-by-step explanation:
Make a table of the values, then graph.
Example:
X: -2, -1, 0, 1, 2
Y: [tex]\frac{1}{64}[/tex], [tex]\frac{1}{16}[/tex], [tex]\frac{1}{4}[/tex], 1, 4
Use the Venn diagram to determine if each statement is always true, sometimes true, or never true.
Answer:
1) Sometimes
2) Always
3) Never
4) Always
5) Sometimes
Step-by-step explanation:
1) Sometimes
2) Always
3) Never
4) Always
5) Sometimes
What is the value of P for the following triangular prism? 19 yd 12 yd 6 yd 18 yd
Answer:
12 yds
Step-by-step explanation:
I just answered it. :)))
Answer:
option C
Step-by-step explanation:
The answer is 12 yd. All you muxt do is find the volume.
a figure has 2 pairs of pararell sides, 2 pairs of sides are equal length, and 4 right angles, what quadrilateral best describes this figure?
Answer:
a rectangle
Step-by-step explanation:
Answer:
Square
Step-by-step explanation:
How many solutions does 10+5x=5x+10 have?
Help ASAP no links I will report only answer if you know!!!!
Answer: 380.1
Step-by-step explanation:
v=h*pi*r^2
v=4*pi*5.5^2
v=380.1
What is the value of x?
A. x = 94
B. x = 49
C. x = 86
D. x = 36
Answer: A
Step-by-step explanation: angle LJK says x subtract 8 degrees and since angle LJH is bigger than angle LJK the one over 90 degrees is the only logical one
Answer:
A. x = 94
Step-by-step explanation:
Add up angles to equal 180 because that is how much a line measures.
x + (x - 8) = 180
Simplify.
2x -8 = 180
Solve for x.
2x -8 = 180
+8 = +8
2x = 188
2 = 2
x = 94
Given the following table, find the domain and range of the function.
A) domain: {2, 4, 5, 9}
B) range: {2, 4, 5, 9}
C) range: {-3, 1, 5, 7}
D) domain: {-3, 1, 5, 7}
The domain and range of the function on the table are the ones in options B and C.
Domain: {-3, 1, 5, 7}
Range: {2, 4, 5, 9}
How to find the domain and range of the function?For a function y = f(x), we define the domain as the set of the inputs, this is, the set of the possible values of x.
On the other hand, the range is the set of the outputs, this is, the set of the possible values of y.
Then the domain is just the set of the values of x on the table:
Domain: {-3, 1, 5, 7}
And the range is the set of the values of y on the table:
Range: {2, 4, 5, 9}
Then the correct options are C and B.
Learn more about domain and range:
https://brainly.com/question/2264373
#SPJ1
Which graph represents the system of linear inequalities?
2x+y<1
y≥12x+2
The graph of the system of linear inequalities 2x + y < 1 and y ≥ 12x + 2 is attached.
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Inequalities is used for the non equal comparison of numbers and variables.
The graph of 2x + y < 1 and y ≥ 12x + 2 is attached.
Find out more on equation at:https://brainly.com/question/2972832
#SPJ1
Determine the least common multiple (LCM) of 48 and 16.
A. 16
B. 24
C. 36
D. 48
Answer:
16
since it's the least that can be divided by both
Answer:
a) 16
Step-by-step explanation:
Determine the least common multiple (LCM) of 48 and 16.
A. 16
Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?
Answer: 40 cm
Step-by-step explanation:
The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm
Ryan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6300 feet.
Ryan initially measures an angle of elevation of 15 to the plane at point A. At some
later time, he measures an angle of elevation of 31 to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
If Ryan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The distance the plane traveled from point A to point B is: 13,027ft .
How to find the distance?Constant altitude =6300 feet
Angle of elevation =15 to the plane at point A
An angle of elevation =31 to the plane at point B.
So,
Tan 15° = 6300/ON
ON =23,511.92
Tan 31° =6300/OB
OB = 10,484.96
So,
AB =23,511.92 - 10,484.06
AB = 13,026.96
AB = 13,027ft (Approximately)
Therefore the distance is 13,027ft.
Learn more about distance here:https://brainly.com/question/26550516
#SPJ1
A cone consitst of these measure but need to find the volume and surface area. The diameter is 16m, height is 8m, and the slant height is 11.31m.
A.) V=769.17m³ SA=535.89m²
B.) V= 535.89m SA=769.17m
C.) V=535.89m³ SA= 769.17m²
D.) V=1607.68m³ SA=769.56m²
ive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2: Suppose a sample of 2017 new car buyers is drawn. Of those sampled, 484 preferred foreign over domestic cars. Using the data, construct the 95% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.
Answer:
0.2305 ; 0.2495)
Step-by-step explanation:
Sample size, n = 2017
Number who preferred foreign over domestic cars, x = 484
Phat = 484 / 2017 = 0.2399603 = 0.240
The confidence interval :
Phat ± Margin of error
Margin of Error = Zcritical * √(phat(1-phat)/n)
Zcritical at 95% = 1.96
1 - phat = 1 - 0. 240 = 0.76
Margin of Error = 1.96 * √((0.240*0.76)/2017) = 0.0095095
Confidence interval :
Lower boundary : 0.240 - 0.0095 = 0.2305
Upper boundary : 0.240 + 0.0095 = 0.2495
(0.2305 ; 0.2495)
Plz help me well mark brainliest if correct!!
Answer:
1 hour
Step-by-step explanation:
Each graph shown lasts for 1/2 hour / 30 minutes
Single payment loan for $1200 repay in 120days interest rate is 7%, what is the maturity value of the loan?
The maturity value of the loan based on the calculation is $1227.72
How to illustrate the interest?From the information, single payment loan for $1200 repay in 120days interest rate is 7% and we want to calculate the maturity value of the loan.
It should be noted that the interest will be calculated as:
= Principal × Rate × Time
= 1200 × 7% × (120/360)
= 1200 × 0.07 × 0.33
= $27.72
Maturity amount = $1200 + $27.72
Maturity amount = $1227.72.
Learn more about interest on:
brainly.com/question/25793394
#SPJ1
A bakery made 100 donuts, in the display case, 40/100 were chocolate, 3/10 were glazed and cinnamon. which fraction of the donuts were cinnamon?
Answer:
57/100
Step-by-step explanation: