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4 years ago

Which of the following is equal to 7 1/4? Show work. Please help.

Mathematics

2 answers:

kolezko [41]4 years ago

7 0

Answer:

C) $\sqrt[4]{7}$ .

Step-by-step explanation:

Given : $7^{\frac{1}{4}}$ .

To find : Equivalence expression.

Solution : we have given that $7^{\frac{1}{4}}$ .

By the radical rule $\sqrt[n]{x} = x^{\frac{1}{n}}$

Then $7^{\frac{1}{4}}$ = $\sqrt[4]{7}$ .

Therefore, C) $\sqrt[4]{7}$ .

fomenos4 years ago

6 0

d because you take the denominator of the fraction and you put it infront of the square root then you take the numerator and multiply it by the number at hand in this case 7

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Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p

alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

$P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093$

As a consecuence, he wont foul out with probability 0.9093.

8 0

4 years ago

BONUS: In the kite shown below, the perimeter of the kite is 16 units.

8090 [49]

Answer:

6(2) -2(-5) Substitute the values given into the expression and multiply. 12+10 ... 1. 2x-(3-4y), when x = 5 and y=-3. 215)-(3-4(-3)). 10-(3+12). 10-15. 2. ... + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. + ... y = 2x-1. Simplify. Subtract 2x from each side. Multiply both sides by -1. 2+3 m.

Step-by-step explanation:

If 2x + y = 7 and x + 2y = 5, then (x + y)/3 = (A) 1 (B) 4/3 (C) 17/5 (D) ... Divide both sides by 3 to get: x + y = 4 ... 2*(x+2y = 5) equals 2x+4y=10 ... or subtracting one from the other and it likely happens 90% times that ... If a question involves a system of two equations, and we're asked to find the value of ONE

3 0

3 years ago

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What are the roots to this quadratic equation?

myrzilka [38]

16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4

5 0

3 years ago

ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help

anyanavicka [17]

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

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snow_tiger [21]

Isolate the variable by dividing each side by the factors that don't contain the variable

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