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3 years ago

1) Which diagram shows the correct construction of a line parallel to line l and passing through point P?

Mathematics

1 answer:

kherson [118]3 years ago

3 0

1)To construct a line parallel to line l and passing through point P our first step is to join the point and line and then draw angles in such a way so that corresponding angles are equal.

Option B is the correct construction of a line parallel to line l and passing through point P.

2) To Construct the perpendicular line to line DE at point F we cut an arc from point F to line DE in such a way it cuts line DE at two points .From these two points we draw arcs which cut each other .

Option C is the correct option to Construct the perpendicular line to line DE at point F.

3) To Construct a perpendicular from the given line segment that passes through the given point we cut two arcs on top and bottom of line segment.

Option B is the right answer.

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Chad drove 168 miles in 3 hours. How many miles per hour did chad drive? Chad will drive 672 more miles. He continues to drive a

larisa86 [58]

168/3 = 56

Therefore, Chad is driving the car in 56 mph.

672/56 = 12

Therefore, Chad drives 672 miles in 12 hours.

308/11 = 28

Therefore, Chad drives 28 miles per gallon of gas.

672/28 = 24

Therefore, Chad uses 24 gallons of gas to drive 672 miles.

3 0

3 years ago

) In 2005, the Health Department in Marion County, Indiana measured the heights and weights of 90,147 school-age children, allow

Lena [83]

Answer:

Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.

Step-by-step explanation:

The national average is 17% .The z proportional hypothesis test is used.

1) Let the null and alternate hypothesis be

H0: p =0.17

against the claim

Ha: p ≠ 0.17

Choose the significance level ∝= 0.05

The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.

Computing

z= p^-p / sqrt [pq/n]

Z= 0.22-0.17/ √0.17*(1- 0.17)/90147

z= 39.965

3 0

3 years ago

What would 23 divided by 6 = 3 R5 look as a mixed number?

masha68 [24]

23/6 = 3 and 5/6. You would just put the remainder over the number you divided by

7 0

3 years ago

HELPPP!! ASAP NO ROCKY LIL HOMIE I NEED TO PASS THIS YEAH

enyata [817]

Answer:

take away the 15 because you can't multiply a diagonal so 12x18=216 reduce it by the 15 would be the first one sir

Step-by-step explanation:

5 0

3 years ago

For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.

Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 120, \sigma = 8$