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3 years ago

Find the value of X. Geometry!!!

Mathematics

1 answer:

mario62 [17]3 years ago

8 0

Answer:

D. 19

Step-by-step explanation:

x+5 has to equal half of the base(3x-9)

I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24

48/2=24 Therefore, the answer is D, 19

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Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $50. Now the cost is $59. What is the percent

kvv77 [185]

Answer: 18%

Step-by-step explanation: Percentage of 9 in 50=

9/50 × 100= 0.18×100= 18%

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3 years ago

What are the first 4 terms of the geometric sequence a1 = 5 and r = ‒3?

egoroff_w [7]

Answer:

-135

Step-by-step explanation:

tn=ar^n-1

=5*(-3)^4-1

=5*(-3)^3

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4 0

4 years ago

Suppose that in a certain population, individuals’ heights are approximately nor-mally distributed with parametersμ=70 andσ=3 in

ruslelena [56]

Answer:

a) 25.14% of the population is over 6ft tall.

b) Both are going to be normally distributed.

Centimeters: $\mu = 177.8, \sigma = 7.62$ cm

Meters: $\mu = 1.778, \sigma = 0.0762$ cm

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Normally distributed with parameters $\mu = 70, \sigma = 3$ .

a.What proportion of the population is over 6 ft. tall?

We have to convert from ft to inches.

Each feet has 12 inches, so 6ft = 72in.

This proportion is 1 subtracted by the pvalue of Z when $X = 72$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{72 - 70}{3}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486.

This means that 1-0.7486 = 0.2514 = 25.14% of the population is over 6ft tall.

b.What is the distribution of heights if they are expressed in centimeters? Inmeters?

It is going to still be normally distributed. We just have to convert the mean and the standard deviation from inches to centimeters and meters.

In centimeters.

Each inch has 2.54cm. So it is going to be normally distributed with $\mu = 70*2.54 = 177.8$ cm and $\sigma = 3*2.54 = 7.62$ xm

In meters

Each m has 100cm. So

$\mu = 1.778$ m, $\sigma = 0.0762$ m.

7 0

4 years ago

The zeros of a quadratic function are -6 and -2. What is a possible vertex of the function? EXPLAIN YOUR ANSWER AND SHOW YOUR WO

Degger [83]

Answer:

(-4,-4)

Step-by-step explanation:

If the zeros of a quadratic function are -6 and -2, then it is:

(x+6)(x+2)

Expanding:

(x+6)(x+2)

=x^2+8x+12

To find the vertex, complete the square.

x^2+8x+12

=(x^2+8x+16)-16+12

=(x+4)^2-4

When the quadratic formula is written in the form y = a(x-h)^2+k, the vertex is (h, k).

(h, k)=(-4,-4)

3 0

4 years ago

If you are standing 85 ft from the base of a flagpole, and determine that at ground level, you would need to look up at a 30° an

Korolek [52]

Answer:

If you are standing 85 ft from the base of a flagpole, and determine that at ground level, you would need to look up at a 30° angle to see the top of the flagpole, how tall is the flagpole? Round the height to tenths.

Step-by-step explanation:

3 0

3 years ago