Answer:
8 c 3 * 6 c 2 = 56 * 15 = 840 ways
Step-by-step explanation:
First, we consider how many ways there are to choose three boys from eight. There are 8 choices for the first boy, 7 for the second, and 6 for the third. However, because the boys are indistinct from one another, we have overcounted, and must divide by 3*2. Similarly, there are 6*5 ways to choose the two girls, divided by 2 for overcounting. Thus, there are (8*7*6*6*5)/(3*2*2)=840 possible quintets.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
[tex]x = 25[/tex]
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
[tex]4x - 25 = 75[/tex]
[tex]4x = 100[/tex]
[tex]x = 25[/tex]
A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth
Answer:
11.3
Step-by-step explanation:
Volume: L * W * H
L = 20
W = 8
H = 35 mm = 35/10 = 3.5 cm
V = 20 * 8 * 3.5
V = 560 cm^3
Density = m/v
Density = 6328 / 560
Density = 11.3
?? I need a step by step explanation, please
Answer:
( 4 , − 1 )
Step-by-step explanation:
y= (x + 3)(x + 5)
y= x^2 + 5x + 3x + 15
y= x^2 + 8x +15
The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x
Answer:
Step-by-step explanation:?
im not sure if its too small or not
Answer:
area of ring shape =
[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]
=
[tex]36\pi - 16\pi[/tex]
=
[tex]20\pi[/tex] square inches
HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
pretty simple, you should get 1824
Step-by-step explanation:
first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help
If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?
Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm
What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠ 0. What is the value of the two-sample t statistic? a. 14.6 b. 3.43 c. 2.54 d. 7.80
What can we say about the value of the P-value? a. P-value < 0.01 b. 0.01 < P-value < 0.05 c. 0.05 < P-value < 0.10 d. P-value > 0.10
If you use the 0.05 level of significance, what conclusion would you reach? a. The evidence is not sufficiently strong to reject the null hypothesis. b. There is sufficient evidence to reject the null hypothesis. c. Cannot be determined by the information given.
Answer:
Part A
b. 14.6 ± 7.38
Part B
b. 3.43
Part C
a. P-value < 0.01
Part D
b. There is sufficient evidence to reject the null hypothesis
Step-by-step explanation:
Part A
The given data are;
The number of seedlings in the field = 20
The number of seedlings selected to receive herbicide A = 10
The number of seedlings selected to receive herbicide B = 10
The height in centimeters of seedlings treated with Herbicide A, [tex]\overline x _1[/tex] = 94.5 cm
The standard deviation, s₁ = 10 cm
The height in centimeters of seedlings treated with Herbicide B, [tex]\overline x _2[/tex] = 109.1 cm
The standard deviation, s₂ = 9 cm
The 90% confidence interval for μ₂ - μ₁, is given as follows;
[tex]\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;
The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18
α = 100% - 90% = 10%
∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05
[tex]t_{(0.025, \, 18)}[/tex] = 1.734
[tex]C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}[/tex]
C.I. ≈ 14.6 ± 7.37714603353
The 90% C.I. ≈ 14.6 ± 7.38
b. 14.6 ± 7.38
Part B
With the hypotheses are given as follows;
H₀; μ₂ - μ₁ = 0
Hₐ; μ₂ - μ₁ ≠ 0
The two sample t-statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
[tex]t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147[/tex]
The two sample t-statistic ≈ 3.43
b. 3.43
Part C
From the t-table, the p-value, we have, the p-value < 0.01
a. P-value < 0.01
Part D
Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis
b. There is sufficient evidence to reject the null hypothesis.
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. 3k=150
2. 50
Find the surface area of the prism
Answer:
[tex]400\ cm^2[/tex]
Step-by-step explanation:
1. Approach
The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,
2. Find the area of each face
The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, ([tex]length*width[/tex]). Substitute in each of the values,
[tex]17*7=119[/tex]
[tex]15*7=105[/tex]
[tex]8*7=56[/tex]
Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, ([tex]\frac{(length)*(width)}{2}[/tex]). Substitute in the given values,
[tex]\frac{(15)*(8)}{2}=60[/tex]
[tex]\frac{(15)*(8)}{2}=60[/tex]
3. Find the total surface area
Now add up the values of the area for each of the faces of the prism,
[tex]119+105+56+60+60[/tex]
[tex]=400[/tex]
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
(NO LINKS OR ELSE YOU WILL BE REPORTED)
Part A
What is the value of x?
Show your work.
Part B
Describe two different ways you could find measure of angle CFD. What is the measure of this angle?
Answer:
Step-by-step explanation:
Part A
Since, all angle formed at point F lie on a straight line CE.
Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.
(7x + 4) + (8x + 6) + (6x + 2) = 180
21x + 12 = 180
21x = 168
x = 8
Part B
Two lines CD and AE intersect each other at point F.
Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]
m∠CFD = (7x + 4)°
= 7(8) + 4
= 60°
Since, all angles formed at point F on a straight line AD are linear angles,
m∠AFB + m∠CFB + m∠CFD = 180°
(8x + 6) + (6x + 2) + m∠CFD = 180°
14x + 8 + m∠CFD = 180
m∠CFD = 172 - 14x
= 172 - 14(8)
= 172 - 112
= 60°
non proportional or proportional ?
y= 3.75x + 2
Which of the following is the solution (x,y) of the system of equations x-2y = 2 and -x+2y = 2
Answer:
Step-by-step explanation:
x-2y = 2
-x+2y = 2
set 1st eq. equal to 2nd equation since they both equal 2
x -2y = -x + 2y
2x = 4y
x = 2y
1/2x = y
(x, 1/2x ) :P
The diameter of a circle is 4 millimeters. What is the circle's circumference?
Answer:
4pi millimeters.
Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm
Step-by-step explanation:
To get the circumference of a circle, just multiply the diameter by pi
Answer:
C=0.125m
Step-by-step explanation:
C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m
if comlementary angles are adjacent they form a :
i will give 34 points
fast fast
Answer:
they would make a staright line or straight angle, which would be 180 degrees.
Brainliest?
Step-by-step explanation:
What's the x plz help
Answer:
The answer for x is ten
48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet
Answer:
D. 29.5 feet
Step-by-step explanation:
1) First you use the pythagorean theorem a^2+b^2=c^2
2) 26^2+14^2=c^2 The wire is the hypotenuse.
3) Simplify the equation. 676+196=c
4) 872=c
5) Find the square root of 872 and round to the nearest tenth.
6) Your answer is 29.5 feet.
Hope this helps!
attach a link if needed<3
Juice: Different
Burritos: Same
Soup: Same
Peanut Butter: Different
Comert
3T=_b
3 tons is equal to
pounds.
Answer:
i think 3 tons equal 6000 pounds
factorise it
[tex]v[/tex]
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?
HELP ME PLEASE AND PLEASE ATTACH THE ANSWER BELOW (NO LINKS!!)
Answer:
D
Step-by-step explanation:
Answer:
1885
Step-by-step explanation:
Volume = Base x Height
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
Micah's Allowance was increased from $6 a week to $9 a week. By what percent did his allowance increase?
Answer:
60%
Step-by-step explanation:
In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?
Answer:
the number of short sleeves sold is 42
Step-by-step explanation:
The computation of the number of short sleeves sold is shown below:
Given that
The clothing store sold 98 long sleeve shirts
And, the ratio of short sleeve to long sleeve is 3:7
So, the number of short sleeves sold is
= 98 × 3 ÷ 7
= 42
Hence, the number of short sleeves sold is 42
PLEASE HELP HURRY!!!
Answer:
C
Step-by-step explanation:
consistently goes down by 3.2 for the y value
GIVING BRAINLIEST!!!!!!
In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2
PLSSSSS HELPPPPPP MEH ;^;
What is the lateral surface area of the triangular prism?
Answer:
I think it's 56.4
Step-by-step explanation:
if not I'm sorry
