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Yuki888
12 days ago
8

One hundred voters were asked their opinions of two candidates, a and b, running for mayor. their responses to three questions a

re summarized below number saying yes do you like a? 65 do you like b? 55 do you like both? 25 what is the probability that someone like exactly one given that they like at least one?
Mathematics
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Laurence, the stadium manager, spends $22,000 on a broadcast TV ad, $30,000 on a cable TV ad, and $6,000 on a radio ad. What per
Zina [12379]

38 % of the total budget goes to advertising on broadcast TV

Solution:

Based on the details,

Expenditure for broadcast TV advertising = $ 22, 000

Expenditure for cable TV advertising = $ 30, 000

Expenditure for radio advertising = $ 6000

Need to determine: the proportion of broadcast TV advertising

Total expenditure = $ 22, 000 + $ 30, 000 + $ 6000

Total expenditure = $ 58000

proportion of broadcast TV advertising = \frac{\text{ amount spend on broadcast tv}}{\text{ total amount}} \times 100

\rightarrow \frac{22000}{58000} \times 100\\\\\rightarrow 0.3793 \times 100 = 37.93 \approx 38

Hence 38 % of the total budget is allocated to broadcast TV advertising

7 0
3 months ago
A journalist wants to determine the average annual salary of CEOs in the S&P 1,500. He does not have time to survey all 1,50
Inessa [12570]

Answer:

At least 315

Step-by-step explanation:

A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.

Standard deviation of the sample (s) = 449300

Sample size = n

Permissible margin of error = 50000

Z critical value = 1.96

Thus, 1.96 times the standard error equals 50000.

Standard error equals 25510.20

Standard deviation divided by the square root of n = 25510.20

By simplifying, we can derive:

\sqrt{n} =\frac{449300}{25510.20} =17.752\\n=315\\

Thus, the minimum sample size required is 315.

8 0
4 months ago
X^2 -9x+12=(x-p)^2-q <br>Find the value of p and the value of q​
Leona [12618]
x²-9x+12 = (x - (9/2))² - (33/4) For further details, refer to the image below.:)
8 0
2 months ago
Jay is letting her bread dough rise. After three hours, her bread dough is \dfrac{11}{5} 5 11 ​ start fraction, 11, divided by,
babunello [11817]
Jay's bread has risen to 220% of its initial size. The question, as it stands, is incomplete. What is missing would clarify: Jay's bread increases to 11/5 of its original size after three hours. To determine the percentage of its original size: New bread size = units when dough is at 11/5 of its original size.
6 0
2 months ago
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I
AnnZ [12381]

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)

As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)

3 0
3 months ago
Read 2 more answers
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