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Black_prince [1.1K]
3 years ago
5

Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work

is shown below. What mistake did she make? 45% = StartFraction 45 Over 100 EndFraction = StartFraction 9 Over 20 EndFraction = 4.5
Mathematics
2 answers:
svp [43]3 years ago
7 0

Answer:

Jenny did not make any mistake.

Step-by-step explanation:

From the information given:

We are asked to do three things.

To find the equivalent fraction of 45%, The reduced fraction of 45%, The decimal fraction of 45%

The equivalent fraction of 45% = \mathbf{\dfrac{45}{100}}

The reduced fraction means to divide \mathbf{\dfrac{45}{100}} to its lowest value.

i.e. dividing both the numerator and denominator by 5, we have:

\mathbf{\dfrac{9}{20}}

The decimal fraction of 45% = 0.45

juin [17]3 years ago
5 0

Sample Response: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.

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lakkis [162]

Answer:

2

Step-by-step explanation:

18-4^2=2

7 0
3 years ago
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Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
4 years ago
HELP AGAIN PLEASE I TRIED IT ON MY OWN AND FAILED :(
Alex787 [66]

Answer:  ∠ J = 62° , ∠ K = 59° , ∠ L = 59°

<u>Step-by-step explanation:</u>

It is given that it is an Isosceles Triangle, where L J ≅ K J

It follows that ∠ K ≅ ∠ L

         ⇒ 5x + 24 = 4x + 31

         ⇒   x + 24 =         31

         ⇒   x         =           7

Input the x-value into either equation to solve for  ∠ K &  ∠ L:

∠ K = 5x + 24

      = 5(7) + 24

      = 35 + 24

       = 59

∠ K ≅ ∠ L  ⇒   ∠ L = 59

Next, find the value of  ∠ J:

∠ J +  ∠ K +  ∠ L = 180    Triangle Sum Theorem

∠ J  +   59  +  59 = 180

∠ J          + 118     = 180

∠ J                       = 62

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Find the value of this expression if x = -9.<br> x2 + 1<br> x+7
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Step-by-step explanation:

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