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Degger [83]
3 years ago
7

If 4\5 x ⬛ =2\5 then what is ⬛

Mathematics
2 answers:
Slav-nsk [51]3 years ago
8 0
4/5* x= 2/5
⇒ x= 2/5/ (4/5)
⇒ x= 2/5* (5/4)
⇒ x= 1/2

Final answer: x=1/2~
Naya [18.7K]3 years ago
5 0
[box] equals 1/2 (i think; check by dividing 0.8 by 0.4 on calculator, or 4/5 divided by 2/5 on fraction calculator... kind of obvious)
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Hello!
Zina [86]

Answer:

1. Less Steeper

2. Reflected over the x axis

3. Steeper

Step-by-step explanation:


7 0
4 years ago
Meg deposited a $3,000 bonus check in a new savings account. The account has an interest rate of 3% for 5 years. The interest is
Nataly [62]

Answer:

The $3485.52 money did Meg have at the end of the account term.

Step-by-step explanation:

Formula for compounded monthly

Amount = P(1+\frac{r}{365})^{365n}

Where P is the principle , r is the rate of interest in the decimal form and n is the number of years.

As given

Meg deposited a $3,000 bonus check in a new savings account. The account has an interest rate of 3% for 5 years.

Principle = $3000

3% is written in the decimal form

= \frac{3}{100}

= 0.03

Time = 5 years

Put in the formula

Amount = 3000(1+\frac{0.03}{365})^{365\times 5}

Amount = 3000(1+\frac{0.03}{365})^{1825}

Amount = 3000(1+\frac{0.03}{365})^{1825}

Amount = 3000(1+ 0.0000822)^{1825}

Amount = 3000(1.0000822)^{1825}

Amount = 3000\times 1.16184

Amount = $ 3485.52

Therefore the  $ 3485.52  money did Meg have at the end of the account term.




4 0
3 years ago
Read 2 more answers
4. The square root of 5 less than twice a number is 7. Find the number.
vladimir1956 [14]

Answer:

3.5

Step-by-step explanation:

we can divide that

  • the square root of 5
  • less than
  • twice a number is 7

as you see the first one is really easy

\sqrt{5}

the second one is < because it points to the lower number

the third one we have

twice a number is 7

let's say x is the number

so twice x is 7

twice means 2 times

so 2 times x is 7

2*x=7\\\\\frac{1}{2}*2x=\frac{1}{2}*7\\\\x=3.5

so the number is 3.5

5 0
3 years ago
If mUTV &lt; mUTS &lt; mSTR, which statement is true? VU &lt; US &lt; SR by the hinge theorem. VU = US = SR by the hinge theorem
Ymorist [56]

Answer:

True statement is VU < US < SR by the hinge theorem.

Step-by-step explanation:

It is given that ∠UTV < ∠UTS < ∠STR.

According to Hinge theorem "if 2 sides of two triangles are congruent and the included angle of the 1st triangle is larger than the included angle of the 2nd triangle, then the third side of the 1st triangle is longer than the third side of the 2nd triangle."

since  ∠UTV < ∠UTS < ∠STR.

So, by hinge theorem sides opposite to these angle are also is this inequality order,

So, according to fig. and by using hinge theorem, we can say that

VU < US < SR.


8 0
3 years ago
Read 2 more answers
Seattle-Pipes Co. produces pipes to be supplied to a Seattle utility company. The requirement of the utility company is that the
g100num [7]

Answer:

Step-by-step explanation:

Hello!

The study variable is

X: Pipe length.

It is known that this variable has a normal distribution and that the distribution parameter varies depending on the process used to manufacture the pipes.

Process A: μ= 200cm δ= 0.5cm

Process B: μ=201cm δ= 1cm

Process C: μ=202cm δ= 1.5cm

Pipes with a length of 200cm or more will be accepted by the utility company (X≥200), but pipes with less than 200cm length will be rejected (X<200)

a. Using Process C, you need to calculate the probability that the pipe will be rejected, symbolically:

P(X<200)

Using the distribution data of process C you have to standardize the value:

P(Z<(200-202)/1.5)= P(Z<-1.33)= 0.09176

b. The requirements change, accepting any pipe between 199 and 202, you have to calculate the probabilities of the pipes being between those lengths using the three process:

Process A:

P(199≤X≤202) = P(X≤202) - P(X≤199)

P(Z≤(202-200)/0.5)) - P(Z≤(199-200)/0.5))

P(Z≤4) - P(Z≤-2) = 1 - 0.02275 = 0.97725

The probability of the pipe being rejected is 0.02275

Process B:

P(199≤X≤202) = P(X≤202) - P(X≤199)

P(Z≤(202-201)/1)) - P(Z≤(199-201)/1))

P(Z≤1) - P(Z≤-2) = 0.84134 - 0.02275 = 0.81859

The probability of the pipe being rejected is 1-0.81859= 0.18141

Process C:

P(199≤X≤202) = P(X≤202) - P(X≤199)

P(Z≤(202-202)/1.5)) - P(Z≤(199-202)/1.5))

P(Z≤0) - P(Z≤-2) = 0.5 - 0.02275 = 0.47725

The probability of the pipe being rejected is 1-0.47725= 0.52275

The pipes manufactured using process A has fewer chances of being rejected.

c.

Process A costs $140

P(X≥200)= 1 - P(X<200)= 1 - P(Z<0)= 1 - 0.5= 0.5

Process B costs $160

P(X≥200)= 1 - P(X<200)= 1 - P(Z<-1)= 1 - 0.15866= 0.84134

Process C costs $177

P(X≥200)= 1 - P(X<200)= 1 - P(Z<-1.33)= 1 - 0.09176= 0.90824

If they where to make 100 pipes:

Using process A: 100*0.5= 50 pipes will be accepted, so they'll win 50*($200-$140)= $3000

Using process B: 100*0.84134= 84.134≅ 84 pipes will beaccepted, so they'll win 84*($200-$160)= $3360

Using the process C: 100*0.90824= 80.824≅ 90 pipes will be accepted, so they'll win 90*($200-$177)= $2070

As you can see, using process B will maximize the profits.

I hope it helps!

4 0
3 years ago
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