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tino4ka555 [31]
3 years ago
8

Are the ratios 2.5:3.5 and 5:7 proportional? explain

Mathematics
1 answer:
yuradex [85]3 years ago
3 0
\frac{2.5}{3.5}=\frac{2.5 \times 2}{3.5 \times 2}=\frac{5}{7}

They are the same fraction, so they are proportional.
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A bakery used 475 pounds of apples to make 1000 apple tarts. each tart contains the same ammount of apples. how many pounds of a
Gennadij [26K]
475 ÷ 1000 = 0.475 pounds per apple tart
3 0
3 years ago
Which of the following has a constant of proportionality of 2?
denis-greek [22]
Linear fonction's equation : y = ax

So only in y = 2x
2 is the constant of <span>proportionality</span>
6 0
2 years ago
Read 2 more answers
5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ
mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

               Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = population proportion = 48%

           n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } } ) = P(Z < 0.89) = 0.8133

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.</em>

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0
3 years ago
PLZ HELP i need the answer now
VARVARA [1.3K]

Answer:

1/5^9

Step-by-step explanation:

You keep the 5 the same

Then you subtract the exponents...

-6 - 3 = -9

Since it’s negative and you can’t have a negative exponent you have to put a 1 as the numerator. So...

1/5^9

5 0
3 years ago
John translated parallelogram ABCD using the rule (x,y)→(x+3, y−2). If angle A is 110° and angle B is 70°, what is the degree me
bearhunter [10]
Answer: 110 degrees

Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well. 
8 0
3 years ago
Read 2 more answers
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