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3 years ago

What is the distance between (-5,8) and( 6,8)

Mathematics

1 answer:

nekit [7.7K]3 years ago

6 0

Answer: 11

Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5

6+5

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Which must be true of a quadratic function whose vertex is the same as its y-intercept?

BaLLatris [955]

Answer: Choice A

The axis of symmetry for the function is x = 0.

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Explanation:

The vertex is on the axis of symmetry. Since the vertex is on the y axis, this means the y axis itself is the axis of symmetry. The y axis is represented by the equation x = 0. Every point on the y axis has an x coordinate of 0. Example points are (0,2) and (0,5).

This parabola may have 0 roots, 1 root, or 2 roots.

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2 years ago

2. Sled kites rely on wind pressure to retain the shape of the sail. Each consists of a single square and two triangular pieces.

Slav-nsk [51]

Show that the angles A and B are congruent

Answer:

$\angle A =\angle B =90^\circ$

Step-by-step explanation:

The diagram of the sled kite is attached below.

The central part of the kite is square.

We know by the property of a square that all its angles are congruent and equal to 90 degrees.

Therefore:

$\angle A =\angle B =90^\circ$

Angles A and B are congruent.

6 0

3 years ago

Statistics In the manual “How to Have a Number One the Easy Way,” it is stated that a song “must be no longer than three minutes

dimaraw [331]

Answer:

We conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Step-by-step explanation:

We are given that a simple random sample of 40 current hit songs results in a mean length of 252.5 seconds.

Assume that the standard deviation of song lengths is 54.5 sec.

Let $\mu$ = population mean length of the songs

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 210 seconds {means that the sample is from a population of songs with a mean smaller than or equal to 210 seconds}

Alternate Hypothesis, $H_A$ : $\mu$ > 210 seconds {means that the sample is from a population of songs with a mean greater than 210 seconds}

The test statistics that will be used here is One-sample z-test statistics because we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean length of songs = 252.5 seconds

$\sigma$ = population standard deviation = 54.5 seconds

n = sample of current hit songs = 40

So, the test statistics = $\frac{252.5-210}{\frac{54.5}{\sqrt{40} } }$

= 4.932

The value of z-test statistics is 4.932.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 4.932 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the sample is from a population of songs with a mean greater than 210 seconds.

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3 years ago

As a fraction in simplest terms, what would you multiply the first number by to get the second?

Leya [2.2K]

It’s 2.148 but u got to simplify

4 0

3 years ago

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Use the probability distribution graph to answer the question. P(X≤a)=0.6 What is the value of a?

Stella [2.4K]

Answer: If P(x<a) = 0.6, then the value of a will be 0.25.

In this type of problem, it is safe to assume the normal distribution unless you are told something different.

In this probability, we have to find the z-score for a that gives a probability of 0.6. You will need a normal distribution chart to do this problem. Just find the probability that is closest to 0.6 and use that z-score.

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3 years ago

Read 2 more answers