Answer:
16/3
Step-by-step explanation:
When multiplyin fractions by whole numbers, you can make the whole number a fraction by simply making the denominator 1, than you will multiply numerators by numerators and denominators by denominators, therefore
8 x 2 = 16
1 x 3 = 3
16/3
determine the missing angle.
A basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 52 baskets and 11 more 2-pointers than foul shots. How many shots of each kind were made?
Answer:
The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Step-by-step explanation:
Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:
19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112
9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97
7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94
Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Determine which data are qualitative and which data are quantitative. Explain your reasoning
a. The yearlysalaries of the employees at aschool district.(2pts)
b. The employeenumbers of the employees at an accounting firm.(2pts)
c. The areacodes of a sample of 350 residents of nursing homes.(2pts)
d. The ages of a sample of 350 residents of nursing home. (2pts)
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
f. The IQ index of the students in a statistics class.(2pts)
Answer:
a. Quantitative
b. Qualitative
c. Qualitative
d. Quantitative
e. Qualitative
f. Quantitative
Step-by-step explanation:
Qualitative measures:
Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.
Quantitative measures:
Answers are numbers in which comparisons are made, or possible operations.
a. The yearly salaries of the employees at a school district.(2pts)
Salaries are numbers, in which comparisons can be made(more or less), so quantitative.
b. The employee numbers of the employees at an accounting firm.(2pts)
Number, but comparisons aren't made with these numbers, so qualitative.
c. The area codes of a sample of 350 residents of nursing homes.(2pts)
Number, but comparisons aren't made with these numbers, so also qualitative.
d. The ages of a sample of 350 residents of nursing home. (2pts)
Number, comparisons made, you can rank by age for example, so quantitative.
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
Labels, so qualitative.
f. The IQ index of the students in a statistics class.(2pts)
Students can be ranked by IQ, so quantitative.
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09
Answer:
b. $0.02[tex]/in^3[/tex]
Step-by-step explanation:
Given
[tex]r =1in[/tex]
[tex]h = 10in[/tex]
[tex]Cost_{1pk} =\$3[/tex]
[tex]Cost_{2pk} =\$5[/tex]
Required
The difference in the price per [tex]in^3[/tex]
First, calculate the volume (V) of the cylinder
[tex]V = \pi r^2h[/tex]
[tex]V = 3.14 *1^2 * 10[/tex]
[tex]V = 31.4[/tex]
The unit cost of 1 pack is:
[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]
[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]
The unit cost of 2 packs is:
[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]
The difference (d) is:
[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]
[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]
Take LCM
[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]
[tex]d = \frac{\$1}{62.8in^3}[/tex]
[tex]d = \$0.0159/in^3[/tex]
Approximate
[tex]d = \$0.02/in^3[/tex]
Answer:
b)
Step-by-step explanation:
had it on my quiz also give other dude brainliest.
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
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Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
Which of the following is a point-slope equation of a line with the point (-6,2)
and a slope of ? 1/2
Answer:
Choose (D)
y-y1=m(x-x1)
y-2=1/2(x+6)
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
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Answer:
5/8
Step-by-step explanation:
Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.
r = 480/768 = (5·96)/(8·96) = 5/8
The common ratio is 5/8.
Write the equation and show work please
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?
During which period did humans first appear on Earth?
Quaternary
Neogene
Paleogene
Cenozoic
Answer:
According to Science, Quaternary.Step-by-step explanation:
I took the quiz.
But really, the Earth is not that old. just a couple thousand years old.
There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.
Hope this helps and have a great day!
:)
Answer:
A. Quaternary
Step-by-step explanation:
What’s the value of X????
help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Answer:
[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]
Step-by-step explanation:
[tex](-6p^{3} )(3p^2+5p-1)[/tex]
[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]
[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]
hope this helps.....
Balu had a collection of coins1/2 of the coins were from Asian countries,1/3
of them from European countries and the remaining 36 from America.
How many coins were from ASIAN countries?
A)18
B)30
C)108
D)216 step by step explanation please
Step-by-step explanation:
[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]
There are total 108 coins belonging to Asian countries.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.
Let the total number of coins be x,
Establishing the equation, we get,
x/3+x/2+36 = x
Multiplying the equation by 6, we get,
2x+3x+216 = 6x
6x-5x = 216
x = 216
Therefore, the total numbers of coins are 216,
Since, there are 1/2 of total coins are Asian coins,
Therefore, number of Asian coins = 216 / 2 = 108
Hence, There are total 108 coins belonging to Asian countries.
For more references on equations, click;
https://brainly.com/question/29657983
#SPJ2
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
which will result in a perfect square trimonial
Answer:
No choices listed.
Step-by-step explanation:
Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.
[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]
We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.
[tex] \large \boxed{y = mx + b}[/tex]
The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.
[tex] \large{y = - \frac{7}{6} x + b}[/tex]
Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:
[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]
Answer
y = -7x/6Hope this helps and let me know if you have any doubts! Good luck on your assignment!
Which points are on the graph of the function rule f(x) = 10 - 4x
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B: [tex]y=-5x-6[/tex]
»»————- ★ ————-««
Here’s why:
Recall that the slope intercept form of a equation for a line is:⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]
⸻⸻⸻⸻
We are given the information of:
The slope, which is -5.The y-intercept, which is (0, -6).⸻⸻⸻⸻
[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]
⸻⸻⸻⸻
Option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
Which pair of expressions below are equivalent?
a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n
Answer:
The answer is C
Hope this helped!
Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.
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Answer:
40
Step-by-step explanation:
The "initial value" is the value when x=0.
[tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]
The initial value is 40.
Please help with that answer someone please before 12:00an
Answer:
150 cause subtract 150 from 270 you get 150
El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?
Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
Identify the variable expression that is not a
polynomial.
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
use the following picture to classify the following statements as true or false
After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.
Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?
Solution :
Given :
Equation :
y = 6.3333 x + 53.0298
Here, x = number of hours studied
y = the exam score
a). To predict the exam score, we have to replace x in the least square regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (2) + 53.0298
= 65.6964
Thus he predicted exam score is 65.6964
b). The slope is the co-efficient of x in the least squares regression line :
Slope = 6.3333
The slope represents the average increase in y as x increases by 1.
The exam score increases on average by 6.3333 points per hour studied.
c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :
y = 6.3333 x + 53.0298
y = 6.3333 (0) + 53.0298
= 53.0298
d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (5) + 53.0298
y = 84.6963
Thus the average exam score of a student who studied 5 hours is 84.6963
Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.
Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes
Answer:
7 hours and 15 minutes
6 hours hours and 45 minutes
5 hours and 12 minutes
6 hours and 10 minutes
Step-by-step explanation:
MON: 7 1/4 hours
= 7 hours and 1/4 hours
1/4 hours = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
7 1/4 hours = 7 hours and 15 minutes
TUE: 6 3/4 hours
= 6 hours and 3/4 hours
3/4 hours = 3/4 × 60 minutes
= 180/4 minutes
= 45 minutes
6 3/4 = 6 hours hours and 45 minutes
WED: 5 1/5 hours
= 5 hours and 1/5 hours
1/5 hours = 1/5 × 60 minutes
= 60/5 minutes
= 12 minutes
5 1/5 hours = 5 hours and 12 minutes
THU: 6 1/10 hours
= 6 hours and 1/10 hours
1/10 hours = 1/10 × 60 minutes
= 60/10 minutes
= 6 minutes
6 1/10 hours = 6 hours and 10 minutes
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
