Hurry and answer please

Did I get this one correct?

BigorU [14]

Answer:

I think the answer would be 154 for the lowest and 169 for the highest.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If 60% of A is 20% of B, then B is what percent of A?<br> a. 3%<br> b. 30%<br> c. 200%<br> d. 300%

aleksley [76]

Answer:

d. 300%

Step-by-step explanation:

The given relation is ...

60%·A = 20%·B

Dividing by 20%, we see that ...

3·A = B

Of course, 3 = 3×100% = 300%, so B is 300% of A.

7 0

3 years ago

Find the equation of the straight line through (3,4) and (5,6).

Viktor [21]

Answer:

y= x+1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Gradient of line = $\frac{y1 - y2}{x1 - x2}$

Using the above formula,

Gradient

$= \frac{6 - 4}{5 - 3} \\ = \frac{2}{2} \\ = 1$

Thus m=1. Substitute m=1 into the equation:

y= 1x +c

y= x +c

Susbt. a coordinate.

When x=3, y=4,

4= 3 +c

c= 4-3

c=1

Thus, the equation of the line is y= x+1.

4 0

4 years ago

What are all the vocabulary words in all math classes?

Kaylis [27]

Answer:

There are infinite vocabulary words that can be used in math, but i think these are the most commonly used.

Step-by-step explanation:

. parallel - equal- equidistant - collinear - symmetry - tangent.

. Lines- angles-circles - quadrilateral- circumference.

.Addition-subtraction-calculate- arithmetic - decimal-radius-diameter - center of gravity-centroid-equilateral- isosceles- height-median - perpendicular bisector- compass - protractor.

. Average- axis - coordinates-curve - cylinder - section - cosine- sine- multiplication - division - cube-cone- degree- divisor - dozen-ellipse - equation-numerical- even- odd - exponent- expression - corresponding - factor - factorial- factorization - fraction- geometry - algebra - graph - greater than - more - less- compare - integer- intersection - inequality - equality - identity - inverse - real - imaginary - irrational - rational- linear- mean- minus- plus- negative - positive - perimeter - parabola - parallelogram - quotient - radian- series-set- slope- sphere - solve - square root - symbol - volume-variable.

6 0

3 years ago

Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement

Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.173, n = 120$ . So

$\mu = E(X) = np = 120*0.173 = 20.76$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14$

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

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

$Z = \frac{34 - 20.76}{4.14}$