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3 years ago

8

What is expresion for 25 less than 5 5 - 25 25 - 5 5<25 25 + 5

1 answer:

7nadin3 [17]3 years ago

7 0

25 less than 5 = 5 - 25
the answer is A. 5 - 25
Less than = subtraction
so the equation means 5 -(less than) 25
the correct answer is 5 - 25
Hope this helps!

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If sec0+tan0=p,then find the value of cosec0.

Ugo [173]

Answer:

Step-by-step explanation:

p=sec0+tan0

=1/cos0 + sin0/cos0

=(1+sin0)/cos0

square both sides

(1+sin)^2 /cos^2 = p^2

(1+sin)^2/(1 - sin^2 ) = p^2

(1+sin)^2/((1-sin)(1+sin)) = p^2

(1+sin)/(1-sin)=p^2

1+sin=p^2-p^sin

sin+p^2sin=p^2-1

sin(1+p^2)=(p^2-1)

sin=(1-p^2)/(1+p^2)

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6 0

3 years ago

A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea

uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is $\mu*n$ and the standard deviation is $s = \sqrt{n}*\sigma$

In this question:

$n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250$

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

$1.28 = \frac{X - 6328125}{11250}$

$X - 6328125 = 1.28*11250$

$X = 6342525$

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0

3 years ago

Quadrilateral ABCD is inscribed in circle O. What is m∠B ? Enter your answer in the box. ° A quadrilateral is inscribed in a

TiliK225 [7]

Answer:

$m$

Step-by-step explanation:

Step 1

Find the value of x

we know that

In an inscribed quadrilateral the opposites angles are supplementary

so

In this problem

$m$

substitute the values and solve for x

$(2x-7)+(x+4)=180\°$

$3x-3=180\°$

$3x=183\°$

$x=183\°/3=61\°$

step 2

Find the measure of angle B

$m$

substitute the value of x

$m$

8 0

3 years ago

The following factors are not prime: (x2- 7x)(7x+21).What remains to be factored? (can be more than one answer). A) Factor out t

topjm [15]

C
The first binomial can have an x factored out, resulting in (x-7) and the second binomial can have a 7 factored out, resulting in (x+3)

5 0

3 years ago

Read 2 more answers

The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs t

Tamiku [17]

Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

<em>In parallelograms, opposite sides are equal in length</em>

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

whose legs are 47 m and 22 m

∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∵ leg1 = 47 and leg2 = 22

∴ h = $\sqrt{(47)^{2}+(22)^{2}}$

∴ h = $\sqrt{2209+484}$

∴ h = $\sqrt{2693}$

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m

4 0

3 years ago