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3 years ago

Hilda's personal information is shown below. According to the following table what is her hypothetical

Mathematics

2 answers:

o-na [289]3 years ago

7 0

Answer:

606

Step-by-step explanation:

Klio2033 [76]3 years ago

5 0

Answer:

the answer is 606

Step-by-step explanation:

just took the test on a pex

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Could someone please answer question b) ii) ?<br> The question is on the attached image.

mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5 or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

⇒ (x - 1)² - 5 = 0

⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

⇒ x = 1 - √5 or x = 1 + √5 (Answer)

3 0

4 years ago

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.372 minute. The winning ca

Fed [463]

Answer:

Sam had a finish time with a z-score of -2.93.

Karen had a finish time with a z-score -1.91.

Sam had the more convincing victory.

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.

Sam:

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.372 minute. The winning car, driven by Sam, finished in 185.85 minutes.

So $\mu = 186.94, \mu = 0.372, X = 185.85$

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

$Z = \frac{185.85 - 186.94}{0.372}$

$Z = -2.93$

Sam finishing time was 2.93 standard deviations below the mean.

Sam had a finish time with a z-score of -2.93.

Karen:

The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

So $\mu = 110.7, \sigma = 0.115, X = 110.48$

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

$Z = \frac{110.48 - 110.7}{0.115}$

$Z = -1.91$

Karen finishing time was 1.91 standard deviations below the mean.

Karen had a finish time with a z-score -1.91.

Who had the more convincing victory?

Sam finishing time was 2.93 standard deviations below the mean.

Karen finishing time was 1.91 standard deviations below the mean.

Sam finished more standard deviations below the mean than Karen, that is, he was faster relative to his competition than Karen.

So Sam had the more convincing victory.

8 0

3 years ago

Please help asap!!!!

Neporo4naja [7]

Answer:

1) Area = 12cm²

2) x = 5cm

Surface area : 69cm²

Step-by-step explanation:

Opposites sides in a rectangle would equal the same.

so Top/bottom = 20+20=40

Front/back = 15+15=30

40+30=70cm²

94-70=24cm² for left and right side 24÷2=12cm²

2) Those lines represents what side it is equal too which also means the same.

3cm, you know that base x height = surface area so surface area ÷ height = base

15/3=5cm

x=5cm

Formula : Base x Height = One surface area

Front/Back= 15+15=30

Top/bottom = 5x3 = 15+15=30

side/side = 3x3=9

30+30+9=69cm²

7 0

3 years ago

For f(x) = 2x + 1 and g(x) = x ^ 2 - 7 find (fg)(x)

Lapatulllka [165]

Answer:

(fg)(x)=f(x^2-7)

=2(x^2-7)+1

=2x^2-14+1

=2x^2-13

(hope it helps)

5 0

3 years ago

Jake received a student loan for $12000. He plans on paying off the loan in 5 years, Jake will have paid $3600 in interest. What

vazorg [7]

6%
You want to calculate the interest on $12000 at 6% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $12000.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.

To find the simple interest, we multiply 12000 × 0.06 × 5 to get that:

The interest is: $3600.00

3 0

3 years ago