A height is labeled on the triangle below.
Which line segment shows the base that corresponds to the given height of the triangle?
B
height
А
Choose 1 answer:
(A)
А
(В)
B
С
С

Answer:

See Below.

Step-by-step explanation:

We have the expression:

[tex]5^5-5^4+5^3[/tex]

And we want to prove that it is divisible by 7.

To do so, we can factor out a 5³ from the expression. This yields:

[tex]=5^3(5^2-5^1+1)[/tex]

Simplify the parentheses:

[tex]=5^3(25-5+1)=5^3(21)[/tex]

We can see that the resulting expression is a value being multiplied by 21.

Since 21 is divisible by 7, our original expression must also be divisible by 7.

Hence proven.

Answer:

Step-by-step explanation:

Answer:

D: 2:3

Step-by-step explanation:

She saw 2/5 mockingbirds

The remainder of birds she could see is 3

This means she saw 3 blue jays

The ratio is mockingbirds to blue jays, which is 2:3

full question plsAnswer:

Step-by-step explanation:

Answer:

270 degrees

Step-by-step explanation:

hexagons have 5 sides and a five-sided shape has a sum of 540 degrees interior angle so 160+170+90 (because the square in the corner is a right angle which always equals 90 degrees) =420 so minus 420 from 540 to get 120+150 which equals 270 degrees. hope this helped.

Step-by-step explanation:

every Saturday Michelle takes her dog to the park.

Stevie is laid-back guy and he usually handles tough situations in a very negative way.

Allied liberated another town and also helped hundreds of enemy soldiers.

Answer:

6 cubics are from distance away :))) hope this helps

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

8 * 3 = 24

12 * 2 = 24

(the star is the multiplication sign)

Hope this helps :)

Answer:

A=3

B=3

C=2.5

D=5

E=1

F=2

G=4

Here you go! Happy to help!

Step-by-step explanation:

Answer:

a)

the probability that Celia is first in line is 1/n.

b)

the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)

c)

the probability that Celia and Felicity are next to each other in the line is 2/n

Step-by-step explanation:

Given the data in question;

a) Celia is first in line?

the total ways are; n! to place n kids in n places in orderly fashion.

now, if Celia is the first kid, we have to order remaining n-1 kids

(n-1)! / n! = 1/n

therefore, the required probability is 1/n.  

b)  Celia is first in line and Felicity is last in line?

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!

(n-2)! / n! = 1 / n(n-1)

therefore, the required probability is 1 / n(n-1)

c) Celia and Felicity are next to each other in the line

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.

But also these 2 can change the place so in total there are 2(n-1)! ways.

2(n-1)! / n! = 2/n

Therefore, the required probability is 2/n

Answer:

- The value of the 2 test statistic is 6.98

- There is no sufficient evidence to reject the claim of the specific distribution

Step-by-step explanation:

Given

Proportion (p)

[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]

Samples

[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]

First, we formulate a table for chi square totals:

[tex]x^2 = \frac{(O - E)^2}{E}[/tex]

Where

O = Observed Frequency and E = Expected Frequency

So, we have:

[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]

For ABC

[tex]E = np = 300 * 0.29= 87[/tex]

[tex]O-E =95 - 87 = 8[/tex]

[tex](O-E)^2 = 8^2 = 64[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]

For CBS

[tex]E =np = 300 * 0.28 = 84[/tex]

[tex]O -E = 65 - 84 = -19[/tex]

[tex](O -E)^2 = (-19)^2 = 361[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]

For NBC

[tex]E =np = 300 * 0.25 = 75[/tex]

[tex]O -E = 87 - 75 = 12[/tex]

[tex](O -E)^2 = (12)^2 = 144[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]

For others:

[tex]E = np = 300 * 0.18 =54[/tex]

[tex]O - E = 53 - 54 = -1[/tex]

[tex](O - E)^2 = (-1)^2= 1[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]

[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]

[tex]\sum x^2 = 6.975[/tex]

[tex]\sum x^2 = 6.98[/tex] --- approximated

The value of the 2 test statistic is 6.98

Next, is to determine the p value:

Calculate the degree of freedom

[tex]df = n - 1[/tex]

[tex]df = 4 - 1[/tex]

[tex]df = 3[/tex]

Using the [tex]x^2[/tex] table in the 3rd row,

[tex]\sum x^2 = 6.98[/tex] corresponds to:

[tex]p = 0.072699[/tex]

The value of p is:

[tex]0.05 < P < 0.10[/tex]

This implies that, we fail to reject H o

Answer:

scalene triangle

..... .

Answer:

200+ 40h= c

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{11xy^{2}z^{3}}{55xyz}=\frac{1xy^{2}z^{3}}{5xyz}\\\\=\frac{1}{5}x^{1-1}*y^{2-1}*z^{3-1}\\\\=\frac{1}{5}x^{0}*y{1}*z^{2}\\\\=\frac{1}{5}yz^{2}[/tex]

Hint:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{0}=1[/tex]

Answer:

2/6 or 1/3

Step-by-step explanation:

cant really explain but I did this

Answer:

12.5

Step-by-step explanation:

Answer:

16 hours

Step-by-step explanation:

Multiply the 4/5 by 4 to get the denominator as 20. So you do 4 x 4 which equals 16 and 5 x 4 which equals 20 so you get 16/20 miles or 16 hours.

Answer: 13

Step-by-step explanation: Add 10+1+1+1=13

Answer:

The remainder is 12 because what is left is 12

(12 cannot be divided by 24)

Hope this helped!

Answer:

This is your answer ☺️☺️☺️

Answer:

0

Step-by-step explanation:

The question doesn’t say that she lifted weights

If Diana spends 25 minutes running at the gym, then she spend lifting weight for 13 minutes.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

At the gym, Diana always spends more minutes running than lifting weights.

If r represents the number of minutes Diana runs and w represents the number of minutes Diana lifts weights, then, r must be greater than w.

Possible equations are,

12 + w = r

r - 12 = w

In both cases, r is greater than w.

If Diana spends 25 minutes running at the gym, r = 25.

w = r - 12 = 25 - 12 = 13

Hence the number of minutes that Diana spends lifting weights is 13 minutes.

Learn more about Equations here :

https://brainly.com/question/29657983

#SPJ3

Your question is incomplete. The complete question is as given below.

Hexagon has six edges. The figure you're trying to figure out is hexagon I guess.

Answer:

B

Step-by-step explanation:

100% is unknown 100:20 is 5

8,000*5=40,00

Answer:

x=2,y=3

Step-by-step explanation:

x-2=0

x=2

y-3=0

y=3

Answer:

$2.65

Step-by-step explanation:

Answer:

Rate per litre=180km ÷ 20l

=8km/l

Answer:

True

Step-by-step explanation:

(2x)(4x) = 8x^2