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zzz [600]
3 years ago
8

On a two-week job, a repairman works a total of 60 hours. He charges $80 plus $35 per hour. An equation shows this relationship,

where x is the number of hours and y is the total fee. What number is the slope of the line shown by the equation?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

y=35x+80

since gradient (slope) is M of Mx+C, which is how much he charges/hour minus the constant, the slope would be 35

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The table shows the changes from the average water level of a pond over several weeks. Order the numbers from least to greatest.
Verdich [7]
Be more specific with the question that you’re asking bc I will love to help
3 0
3 years ago
A sports club has 38 members. They all play either squash or tennis.
Brut [27]

Step-by-step explanation:

Since we have given that

Total number of members in a sports club = 38

Number of women in the club = 14

Number of women play tennis =10

Number of men play tennis = 8

Since they all play either squash or tennis.

Total number of men in the club is given by

38-14\\\\=24

So, number of men playing squash is given by

24-8\\\\=16

Number of women playing squash is given by

20-16\\\\=4

so, the table is shown below :

                Men         Women     Total

Tennis       16                4               20

Squash       8                10              18

Total          24               14              38

6 0
3 years ago
4 ( x- 2) = 34 for x
DerKrebs [107]
X=21/2
X=10 1/2
X=10.5
7 0
2 years ago
Read 2 more answers
Suppose that we want to test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industri
saw5 [17]

Answer: we reject the initial claim

(50. 3802, 51.6198)

Step-by-step explanation:

A)

The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

Population standard deviation (σ) = 2

We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

Z score = 51 - 50 / (2/√40)

Z score = 1 / 0.3162

Z score = 3.16

Our level of significance is 5%, and the critical value at this level of significance is 1.645.

By comparing the z score relative to the critical value, since our z score is greater than 1.645, it implies that we are in the rejection region hence we reject the initial claim.

B)

We are to construct a 95% confidence interval for population mean temperature.

For upper limit

u = x + Zα/2 ×(σ/√n)

Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

7 0
3 years ago
5/18 • 3/20 • 6/12 please help
wlad13 [49]

Step-by-step explanation:

1. (5/18) × (3/20)=

(5×3)/(18×20)=

15/360=1/24

2. (1/24) × (6/12)=

1/48

4 0
2 years ago
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