Answer: J
Step-by-step explanation: Find out what 85% of 320 is.
A rectangular garage has a perimeter of 24 meters. Its area is 35 square meters. What are the
dimensions of the garage?
meters by
meters
Answer:
7 meters by 5 meters, or vice versa
Step-by-step explanation:
p = 24 meters
a = 35 meters²
Formula for perimeter = l + l + w + w
Formula for area = l · w
7 and 5 are the only values where the rules are satisfied.
x + x + y + y = 24
7 + 7 + 5 + 5 = 24
14 + 10 = 24
x · y = 35
7 · 5 = 35
15. Beth opens a savings account with $400. The account earns 6% interest. What will her account
value be in 5 years?
Answer:
535.29
Step-by-step explanation:
If you multiply 400 by 1.06 five times, you get 535.29.
400*1.06=424
424*1.06=449.44
449.44*1.06=476.4
476.4*1.06=504.99
504.99*1.06=535.29
Hope that this helps!
I’ll give brainlest please help!
Given that △ + q = 59 and (△ + q) + q = 106, what is the value of △?
Answer:
The answers are 47 &12 for "q" & "△" respectively
A rectangle measures 2 2 /3 inches by 1 2 /9 inches. What is its area?
Answer:
88/27 or 3 7/27 in^2
Step-by-step explanation:
Multiply the length and width together:
2 2 /3 times 1 2 /9
We could either convert these measurements to improper fractions and then multiply, or we could use a calculator: 2+(2/3) ENTER x (1 + 2/9) ENTER.
Result: 3.259 in^2 (approximately) or 88/27 in^2 (exact answer)
What is the shape of
its bases?
A. Circle
B. Heptagon
C. Rectangle
D. Triangle
Answer:
C. Rectangle
Step-by-step explanation:
Hope it helps you in your learning process.
Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. Number of Computers 20 GB drive 40 GB drive 80 GB drive 160 GB drive Store 1 13 11 19 9 Store 2 109 44 57 7 Use this data and a .05 significance level to test the claim that the type of hard drive and the store where the computers were bought are independent. g
Answer:
The calculated χ² = 21.455 falls in the critical region χ² ≥ 7.815 so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: the type of hard drive and the store where the computers were bought are dependent
against the claim
Ha: the type of hard drive and the store where the computers were bought are independent
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with ( 4-1) (2-1)= 3 d.f
4) Computations:
Using the calculator we summarize the results as
Under H0 , the observed frequencies are :
Observed Expected E χ²= (O-E)²/E
13 (23.58) [4.75]
11 (10.63) [0.013]
19 (14.69) [1.264]
9 (3.09) [11.282]
109 (98.42) [1.138]
44 (44.37) [0.003]
57 (61.31) [0.303]
7 (12.91) [2.703]
∑ 21.455
5) Conclusion:
The calculated χ² = 21.455 falls in the critical region χ² ≥ 7.815 so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.
The p-value is .000085.
The result is significant at p < .05 meaning the claim is accepted.
Help me please this is due today and I’m stuck on this question
Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
PLEASE HELP ANWSER ASAP PLEASE ILL GIVE BRAINLIEST!!!!
Answer:
3.5944
Step-by-step explanation:
first the fraction is mixed and you need to change the fraction to proper or improper fraction
the denominator 4 is multiply 16
16×4=64
then the numerator 3 is add to 64
64+3=67
the fraction will be
=====67/4
the denominator is not change from the first part
》》do the same thing by the other mixed fraction
the final answer would be 3.5944
first calculate 67÷4=16.75
the second calculate 14÷3=4.66
in the second part i get 14/3 that means i change the mixed fraction to the normal fraction
calculate 16.75÷4.66=3.5944
Yall pleae help i will mark brainliest pleae hellppp
Hallar la altura(h) de un triángulo que tiene una base 12 metros y un área de 96
metros cuadrados. Opción única.
(2 puntos)
16
11
15
Answer:
Height of triangle = 16 meter
Step-by-step explanation:
Given:
Area of given triangle = 96 squares meter
Base length of triangle = 12 meter
Find:
Height of triangle
Computation:
Area of triangle = (1/2)(b)(h)
Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)
96 = (1/2)(12)(Height of triangle)
96 = (6)(Height of triangle)
Height of triangle = 96 / 6
Height of triangle = 16 meter
he following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 8 7 10 7 7 11 6 6 10 7 6 9 8 7 10 6 6 10 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Use
Answer:
Sum of Squares=50.5
Treatment Sum of Squares, 4.5
Error Mean Squares, 0.3
Treatment Mean Squares 0.9
Error Sum of Square = 3
Step-by-step explanation:
Given data
Observation A B C
1 8 7 10
2 7 7 11
3 6 6 10
4 7 6 9
5 8 7 10
6 6 6 10
A B C Row total (xr)
1 8 7 10 25
2 7 7 11 25
3 6 6 10 22
4 7 6 9 22
5 8 7 10 25
6 6 6 10 22
Col total (xc) 42 39 60 141
Using calculator for summarizing data
∑x²=1155 ⇒(A)
∑x²c/r=16(42²+39²+60²)
=1/6(1764+1521+3600)
=1/6(6885)
=1147.5⇒(B)
∑x²r/c=13(25²+25²+22²+22²+25²+22²)
=1/3(625+625+484+484+625+484)
=1/3(3327)
=1109⇒(C)
(∑x)²/n=(141)²/18
=19881/18
=1104.5⇒(D)
Sum of squares total
SST=∑x²-(∑x)²/n=(A)-(D)
=1155-1104.5
=50.5
Sum of squares between rows
SSR=∑x²r/c-(∑x)²/n=(C)-(D)
=1109-1104.5
=4.5
Sum of squares between columns
SSC=∑x²c/r-(∑x)²n=(B)-(D)
=1147.5-1104.5
=43
Sum of squares Error (residual)
SSE=SST-SSR-SSC
=50.5-4.5-43
=3
ANOVA table
Source Sums Degrees of Mean Squares
of Variation of Squares freedom F- value
SS DF MS
Between Treatments SSR=4.5 r-1=5 MSR=0.9 3
Between Blocks SSC=43 c-1=2 MS =21.5 71.6667
Error (residual) SSE=3 (r-1)(c-1)=10 MSE=0.3
Total SST=50.5 rc-1=17
Can someone please help me with this
Answer:
[tex](a)\ (1,5)[/tex]
Step-by-step explanation:
Given
[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]
Required
Which of the points does it pass through
To do this, we simply substitute the values of x and y in the above equation.
So, we have:
[tex](a)\ (1,5)[/tex]
[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]
[tex](1 + 9)^2 + (5 - 4)^2 = 101[/tex]
Solve each bracket
[tex]10^2 + 1^2 = 101[/tex]
[tex]100 + 1 = 101[/tex]
[tex]101 = 101[/tex]
The above equation is true,
Hence, it passed through [tex](1,5[/tex])
We do not need to check for others
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate
Answer:
2/3 > 2/5 > 1/4
Step-by-step explanation:
Lucia - 2/3 - 40/60
Allie - 1/4 - 15/60
Carolina - 2/5 - 24/60
( in this case 60 is the LCM)
least to greatest
15/60 < 24/60 < 40/60
Hope this helps!
Please help me I'm so bad at math and doing AFDA really doesn't help..
Order the steps for this equation I guess pls help
Answer:
See the arrangement below
Step-by-step explanation:
Given the expression
2x^2+x - 9 = 4x
Step 1: Write in standard form
2x^2 + x - 9 - 4x = 0
2x^2 + x - 4x - 9 = 0
2x^2 - 3x - 9 = 0
Step 2; identify the coefficients
The standard quadratic expression is ax^2+bx+c = 0
a = 2, b = -3, c = -9
Step 3: Using the general formula to find the roots
x = -b±√b²-4ac/2a
x = -(-3)±√(-3)²-4(2)(-9)/2(2)
Step 4: simplify
x = -(-3)±√(-3)²-4(2)(-9)/2(2)
x = 3 ±√9+72/4
Step 5; Find the roots
x = 3 ±√81/4
x = 3 ±9/4
x = 3+9/4 and 3-9/4
x = 12/4 and -6/4
x = 3 and -3/2
Chbcjvhchchchcgchchchchcchhchcjv
Answer:
2308.39 m³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16.4 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8.2}^{3} [/tex]
[tex] = \frac{6925.18208}{3} [/tex]
[tex] = 2308.394027...[/tex]
= 2308.39 m³ (rounded to the nearest hundredth)
Frances practiced with her band for 2 hours on Friday, 4 hours on Saturday, and 2 hours on
Sunday. Her band practiced the same number of hours for the next two Fridays, Saturdays,
and Sundays. What is the total number of hours Frances and her band practiced?
Answer:
24 hours
Step-by-step explanation:
2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend
8 hours per weekend x 3 weekends = 24 total hours.
please help. I need this one and my last question and im done
Answer:
The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].
Step-by-step explanation:
First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]
This gives us 4 as our value of x.
Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.
Thus, x=4 and area=60.
Good day from NightyKnight.
Find the probability of a choosing a student that is taking a foreign language, given that the student is playing a sport using the Venn Diagram below.
Answer:
7/25
Step-by-step explanation:
In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.
To find this, we need to locate the intersection in the Venn diagram which is
14.
The intersection represents the number of students that both play a sport and take a foreign lang.
We have our favorable outcomes of 14.
Our total outcomes can be found by adding all the numbers like so:
23+14+10+3=50
The theoretical probability theorem is:
Number of favorable outcomes/number of total outcomes.
So our answer is 14/50, or simplified as 7/25!
Hope it helps! :))
A sample of a radioactive isotope had an initial mass of 730 mg in the year 2000 and
decays exponentially over time. A measurement in the year 2002 found that the
sample's mass had decayed to 510 mg. What would be the expected mass of the
sample in the year 2011, to the nearest whole number?
Answer:
102
Step-by-step explanation:
Find the sum: 3,780 + 764 = _____.
Answer:
4544
Step-by-step explanation:
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
Gavin went on 24 runs last month that totaled 100 miles. Each run was a distance of either 3 miles or 5 miles. Which system of equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that Gavin went on last month?
A.
x + y = 100
3x + 5y = 24
B.
x + y = 100
5x + 3y = 24
C.
x + y = 24
3x + 5y = 100
D.
x + y = 24
5x + 3y = 100
Answer:
d
Step-by-step explanation:
its de in 20 min help me pls and thank you
which sentence can represent the inequality box+ 204?
O The sum of half of a number and three-fourths is at least five and one quarter,
Half the sum of a number and three-fourths is not more than five and one quarter,
The sum of half of a number and three-fourths is at most five and one quarter,
Half the sum of a number and three-fourths is not less than five and one quarter
Answer:
first one
Step-by-step explanation:
is at least
Three friends have 1/2 a pizza left. If they divide it evenly, what fraction of a
pizza will each friend get?
Answer:
They each get 1/6
Step-by-step explanation:
WILL MARK BRAINLIEST IF FOTTEN RIGHT!!!
Answer:
A
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
circumference = [tex]2\pi r[/tex]
[tex]r^{2} = 4\\\sqrt{r^{2}} =\sqrt{4} \\r = 2[/tex]
[tex]2\pi (2) = 4\pi[/tex] [tex]yd[/tex]
A rotating lawn spinner sprays water on a circular area of grass, The radius of the circular area is 8ft. What measurement is closest to the area.
Answer:
Area of circle = 201.09 ft²
Step-by-step explanation:
Given the following data;
Radius, r = 8 ft
To find the area of the circular area;
Area of circle = πr²
Area of circle = 3.142 * 8²
Area of circle = 3.142 * 64
Area of circle = 201.09 ft²
Therefore, the measurement which is closest to the area is 201.09 square feet.
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
PLEASE HELP :c
The figure below shows a shaded rectangle inside a large rectangle:
If you choose a point inside the large rectangle, what is the probability that it is not inside the shading rectangle?
A - 24%
B - 27%
C - 46%
D - 54%
Answer:
c
Step-by-step explanation: