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2 years ago

180° 25° X x= 100 POINTS PLS HELP

Mathematics

2 answers:

IgorLugansk [536]2 years ago

4 0

Answer:

x=65*

Step-by-step explanation:

theres a small rectangle near x and it means that the angle is 90*

and the upper angle is 180

180+90+25+x=360*

x=65*

lutik1710 [3]2 years ago

4 0

Answer:

∠x=65°

Step-by-step explanation:

The angles given are complementary angles ( 90°).

25°+∠x=90°

∠x=65°

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A car rental costs $32 as a base fee, plus $28 per day. Use the explicit rule f (n )= 28n + 32

alexdok [17]

Answer:

The charges paid for the first four days are:

$144.

Step-by-step explanation:

To obtain the charges paid for the first 4 days, you must use the given explicit rule given:

f (n) = 28n + 32

Where:

n = Number of days the person rents the car.

As we need to obtain the charges to 4 days, we replace this value in the explicit rule:

f (n) = 28n + 32
f (4) = 28(4) + 32
f (4) = 112 + 32
f (4) = 144

With these calculations, you can identify the charges paid for the first 4 days are $144, where $112 is the money by each day of the four days and $32 is the base fee.

3 0

2 years ago

Fowle Marketing Research Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean tim

sergejj [24]

Answer:

a) Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

b) $t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

c) $p_v =P(t_{34}>2.958)=0.0028$

d) If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

Step-by-step explanation:

Data given and notation

The sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation is:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=17$ represent the sample mean

$s=4$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =15$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less or equal than 15, the system of hypothesis would be:

Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part b Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

Part c P-value

The degrees of freedom are given by:

$df = n-1= 35-1=34$

Since is a right tailed test the p value would be:

$p_v =P(t_{34}>2.958)=0.0028$

Part d Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

7 0

2 years ago

five people, each working 8 hours a day, can assemble 400 toys in a five day work week. what is the average number of toys assem

vladimir1956 [14]

The question asks for the rate of toys per hour.

So we shall divide the total toys assembled by the total hours.

Its a five day week.

The number of hours allotted per day are 8.

So total allotted during the week are 8 × 5 = 40 hours.

Number of toys made during the week are 400.

Hence the number of toys assembled per hour per person

= number of toys / number of hours

= 400 / 40

= 10 toys per hour per person.

The average number of toys assembled per hour per person is 10.

8 0

2 years ago

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WARRIOR [948]

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3 years ago

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Alan multiplies a 4-digit number by 36. How can you tell the

mafiozo [28]

The number of partial products Alan will have when he multiplies a 4-digit number by 36 is; 8 partial products.

First, we must establish that a 4-digit number will have 4 place values namely;

Thousands
Hundreds
Tens
Ones.

And since, 36 has 2 place values;

We can conclude that the number of partial products that Alan wil have is; 2× 4 = 8.