Answer:
Step-by-step explanation:
To find the diagonal, use Pythagorean theorem,
diagonal² = side² + side²
= (9√3)² + (9√3)²
= 9²(√3)² + 9²(√3)²
= 81*3 + 81*3
= 243 + 243
= 486
diagonal = √486 = 22.05 units
25 points!! Pls help!! If not I will probably get a D pls I will mark brainliest but will report if answer is unrelated
Answer:
18 cm!
Step-by-step explanation:
Nkechi wants to use a one-sample z interval to estimate what proportion of candies in a bag are red. She
takes a random sample of 24 of the 80 total candies and finds that 18 of the candies in the sample are red.
Which conditions for constructing this confidence interval did Nkechi's sample meet?
Choose all answers that apply:
The data is a random sample from the population of interest.
B
The observed counts of successes and failures are both sufficiently large.
Individual observations can be considered independent.
Answer:
The data is a random sample from the population of interest
Step-by-step explanation:
.
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Answer:
whow this is so great app i love it
8b + 4 - 4b + 2 = what
8b+4-4b+2= 4b+6
collect the like terms and add
Mike works for his father sanding wooden rocking chairs. He earns $6 per chair. How many chairs does he need to sand in order to buy a portable CD player for $49.99
The 5 percent sales tax on Aaron's purchase of gloves and a scarf came to $1,90 before tax the price of the gloves was $16 what was the price of the scarf before tax A. $17.10 B. $22.00 C. $39.90 D. $38.00
Answer:
$22.00
Step-by-step explanation:
sales price x .05 = $1.90
Sales price = $1.90/.05
sales price = $38.00
total sales price less price of gloves = price of scarf
$38.00 - $16.00 = $22.00
i need help with my grade 10 math work
a) x2+ 7x − 8
Product =
Sum =
Numbers =
Answer:
(x-1) and (x+8).
Step-by-step explanation:
The given expression is :
[tex]x^2+7x-8[/tex]
We need to find the factors of this expression.
Product of two numbers = 8 and -1 = -8
Sum of two numbers = 8 and -1 = 7
So,
[tex]x^2+7x-8=x^2+8x-x-8\\\\=x(x+8)-1(x+8)\\\\=(x-1)(x+8)[/tex]
So, the factors of this expression are (x-1) and (x+8).
what is 9,030×29,234?
Answer:
263,93802
Step-by-step explanation:
xd
Mikayla earns $ 100 every 8 hours at her new job. At
this rate, how much will she earn in 14 hours?
Answer:
$175
Step-by-step explanation:
$100/8 hours = $12.5 hourly
$12.5 * 14 hours = $175
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random sample of 12 sample specimens has a mean compressive strength of psi. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.
Complete Question
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with[tex]\sigma^2=1000[/tex]. A random sample of 12 sample specimens has a mean compressive strength of [tex]\=x=3207psi[/tex]. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.
Answer:
[tex]CI=(3189.1,3224.9)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=12[/tex]
Standard deviation [tex]\sigma^2=1000psi^2\\\sigma=\sqrt{1000} \\\sigma=31.6[/tex]
Sample mean [tex]\=x=3207[/tex]
Confidence level =95%
[tex]\alpha=100-95\\\alpha=0.05[/tex] significance level
From table \alpha 0.05
Gives
[tex]Z_c=1.96[/tex]
Generally the equation for confidence interval is mathematically given by
[tex]CI=(\=x-\frac{z_c*\sigma}{\sqrt{n} } ),\=X+\frac{Z_C*\sigma}{\sqrt{12} })[/tex]
[tex]CI=(3207-\frac{1.96*31.6}{\sqrt{12} } ),3207+\frac{1.96*31.6}{\sqrt{12} })[/tex]
[tex]CI=(3189.1,3224.9)[/tex]
find the least common multiple of 40a3bc and 28a2b4cd
Answer:
The least common multiple is [tex]280a^6b^4cd[/tex]
Step-by-step explanation:
We find the least common multiple of the constant, and of each term.
Least common multiple of 40 and 28:
40 - 28|2
20 - 14|2
10 - 7|2
5 - 7|5
1 - 7|7
1 - 1
2*2*2*5*7 = 280
LCM of a^3 and a².
Exponents are 3 and 2.
LCM of 3 and 2 is 6. So
[tex]a^6[/tex]
b and b^4
LCM of 1 and 4, which are the exponents, is 4. So
[tex]b^4[/tex]
c and c
LCM of 1 and 1 is 1. So c
d
In the first term, no d means that it is [tex]d^0 = 1[/tex]
In the second, [tex]d^1 = d[/tex]
LCM of 0 and 1 is 1. So
d
Least common multiple:
Multiplication of all the LCM's. So
[tex]280a^6b^4cd[/tex]
a watch company is developing packaging for its new watch. The designer uses octagons with a base of 30 in. squared and rectangles with a length of 10 in. to create a prototype for the new package. What is the volume of the new prototype?
Answer:
300in3
Step-by-step explanation:
Answer:
300in3
Step-by-step explanation:
Can you help me with this problem please?????
Answer:
The answer is the first option I hope it helps
Divide. Round to the nearest tenth. .48÷9.23
[tex].48 \div 9.23[/tex]
A group of 10 friends decides to head up to a cabin in the woods (where nothing could possibly go wrong). Unfortunately, a number of these friends have dated each other in the past, and things are still a little awkward. To get the cabin, they need to divide up into some number of cars, and no two people who dated should be in the same car.
a. What is the smallest number of cars you need if all the relationships were strictly heterosexual? Represent an example of such a situation with a graph. What kind of graph do you get?
b. Because a number of these friends dated there are also conflicts between friends of the same gender, listed below. Now what is the smallest number of conflict-free cars they could take to the cabin?
Friend A B C D E F G H I J
Conflicts with BEJ ADG HJ BF Al DJ B CI EHJ ACFI
c. What do these questions have to do with coloring?
Answer:
a) 3
b) 3
c) because of the permutations and combinations involved
Step-by-step explanation:
a) Determine the smallest number of cars needed
The number of cars are the same as conflict free cars
hence we can group the friends without conflict into the same car
1st car we will have : ACFI in it
2nd car we will have : GD in it
third care we will have : BEJH in it
∴ number of car needed = 3
b) number of conflict free cars = 3
c) Coloring is important in the question because of the permutations and combinations involved
Alternate exterior angles congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?
Answer:
<1 = <8
Step-by-step explanation:
Pair of alternate exterior angles are formed when two parallel lines are cut across by abl transversal line. The two angles are found on the other side of the parallel lines but located on opposite sides along the transversal line.
Thus, <1 and <8 are exterior angles of the parallel lines that are crossed by the transversal and they are on the alternate sides along the transversal.
Therefore, <1 and <8 form a pair of alternate exterior angles.
<1 = <8
What is 12 divided by 7?
Answer:
1.71428571429..........
Carlos has scored 83, 65, and 94 on his previous three tests. What score does he need on his next test so that his average (mean) is 82?
PLS HELP ME SOMEONE 32 POINTS AND PLS NO USELESS LINKS
Answer:
Carlos need to score 95Step-by-step explanation:
Let the score is x. The average is:
(83 + 56 + 94 + x)/4 = 82x + 233 = 4*82x = 328 - 233x = 955. Find the probability that a randomly chosen point in the figure lies in
the shaded region.
Answer:
D
Step-by-step explanation:
area of shaded region=1/2×8×8=32 sq. units
area of larger triangle=1/2×14×16=112 sq units
reqd. probability=32/112=2/7
Plz help me well mark brainliest if correct!!
Answer:
(1, 1)
Step-by-step explanation:
not 100% sure though, but hope it helps
April and Cody invest $5,000 each at their local bank. April invests at a 4% simple interest rate for three years. Cody invests at a 4% compound interest rate, and earns $624.32 in interest. What is the difference in their account balances at the end of 3 years?
Answer:
106.43
Step-by-step explanation:
The difference in their account balances at the end of 3 years is $24.32
Calculations and ParametersTo solve the compound interest for Cody
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.04/1)(1)(3)
A = 5,000.00(1 + 0.04)(3)
A = $5,624.32
To solve for the simple interest for April
P * T * R/100
5000 * 4 * 3/100
= 60,000/100
= 600.
We add the S. I of April's investment
= 5,000 + 600
= $5600.
Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32
Read more about compound interest here:
https://brainly.com/question/24924853
#SPJ6
the length of a rectangle exceeds the width by 14 cm the perimeter of the rectangle is 160 cm find the Length and width of the rectangle
Answer:
width 14 perimeter 160 (l=66 cm)
How to Evaluate 5/9 x 8
Answer:
4 4/9
Step-by-step explanation:
First, you have to set it up: 5/9 times 8/1
We made it 8/1 since it has to be a fraction in the multipying ocess and the one does not change the value.
Next, Multiply.
5/9x8/1=40/9 as an inproper fraction
As a proper fraction, it is written as 4 4/9
two parallel lines are cut by a transversal what is the measure of 2
Answer:
b 80
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A P EE X
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.
(a) t = 1.828
(b) t = 0
(c) t = 1.735
(d) t = -1.826
Based on the picture what is the Minimum, Maximum, Median, Q1, Q3, And the IQR?
Answer:
lol I hope I'm right ...
Step-by-step explanation:
minimum=2, maximum=10, Q1=3, median=6, Q3=8, IQR= 5
Work out the equation of the line that
is parallel to the line y= 5x - 3
passes through (-2, -4)
Answer:
y = 5x +6
Step-by-step explanation:
the slope of the given equation is 5. a slope of a line parallel has the same slope. so 5
y- -4 = 5(x - -2)
y+4 = 5x +10
y = 5x +6
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that the ladder makes with the ground
I NEED THIS ASAP. What is m
Answer:
The measure of ∠DFE is 67°.
Step-by-step explanation:
Angle GFE is a straight angle, meaning that its measure is 180°, per se.
180 - 113 = m of ∠DFE
180 - 113 = 67
Element X decays radioactively with a half life of 6 minutes. If there are 970 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 139 grams?
y = a(.5) *
Answer: 16.81 min
Step-by-step explanation:
Given
Initial concentration [tex]A_o=970\ gm[/tex]
Half-time [tex]T_{\frac{1}{2}}=6\ min[/tex]
Decay at any time t is given by
[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]
put values
[tex]\Rightarrow 139=970\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow 2^{\dfrac{t}{6}}=6.978\\[/tex]
Taking log both sides
[tex]\Rightarrow \dfrac{t}{6}\times \ln (2)=\ln (6.978)\\\\\Rightarrow t=6\times 2.802\\\Rightarrow t=16.81\ \text{min}[/tex]